NEED HELP ASAP!
Refer to the triangle.
What is the length of side AB?
(Blank) units
Answers
After solving the equation the length of AB is [tex]2\sqrt{3}[/tex]
What do you mean by trigonometry?
Trigonometry “triangle” and “measure”) is a branch of mathematics that studies the relationship between the side lengths and angles of triangles.
A trigonometric ratio is the ratio between the edges of a right triangle.
The sine function (sin) defined as the ratio of the opposite side of the angle to the hypotenuse.
In the given triangle ABC , use sin ratio to find AB.
tan θ = P/B
tan 30 = AB/6
[tex]\frac{1}{\sqrt{3} } =AB/6[/tex]
AB = [tex]\frac{6}{\sqrt{3} }[/tex] = [tex]\frac{6}{\sqrt{3} }\times \frac{\sqrt{3}}{\sqrt{3}}= \frac{6\sqrt{3}}{3}=2\sqrt{3}[/tex]
Therefore, length of AB is [tex]2\sqrt{3}[/tex]
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Related Questions
I understand A and B but I do not understand what they are asking for C. I have no idea what the answer is, please help! Thanks
Mike sells grapes at a farmers market. Each pound of grapes sells for the same amount. The table below shows the total prices for different numbers of pounds of grapes sold.
Grapes
Number of Pounds Sold Total Price ($)
2 $4.50
4 $9.00
10 $22.50
A. Write an equation that describes the relationship between the number of pounds of grapes sold(x) and the total price (y), in dollars.
Mike also sells red peppers at the farmers market. The equation below can be used to find the total price (p) in dollars of r pounds of red peppers.
p = 1.80r
B. What is the total price, in dollars, of 17 pounds of red peppers? Explain what the 1.80 represents in the context of the situation.
The farmer decides to increase the price per pound of the grapes. A graph is created to represent both the original equation from Part A and a new equation based on the increased price per pound of the grapes.
C. Thinking about what this graph would look like, explain why the graphs representing the equations will share one point even though the prices per pound are different.
Answers
A. The relationship between the number of pounds of grapes sold (x) and the total price (y) can be described by the equation y = 2.25x.
The required details for pounds in given paragraph
This equation can be derived from the data in the table by substituting the values for x and y and solving for the coefficient 2.25. For example, for x = 2 pounds of grapes, we have y = $4.50, so 4.50 = 2.25 * 2. Similarly, for x = 4 pounds of grapes, we have y = $9.00, so 9.00 = 2.25 * 4. We can use this equation to find the total price for any number of pounds of grapes sold.
B. The total price of 17 pounds of red peppers is $31.60. The 1.80 in the equation p = 1.80r represents the price per pound of red peppers. In this case, 1.80 dollars is the price per pound of red peppers, and r is the number of pounds of red peppers that are being purchased. Therefore, the total price of r pounds of red peppers is equal to 1.80 dollars per pound multiplied by the number of pounds of red peppers being purchased.
C. The graphs representing the equations for the original and increased price per pound of grapes will share one point because the two equations will be tangent to each other at that point.
what is pound?
A pound is a unit of weight that is commonly used in the United States and some other parts of the world. It is defined as the weight of a standard reference object, called the international pound, which is kept at the International Bureau of Weights and Measures in France.
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a new washer and dryer set cost $1250 with an annual expenditure of $100 for electricity. The function C(n) =1250+100n/n represents the annual cost of operating the washer-dryer set as a function of n years of owning the set. Which of the following statement(s) about the function is true?
Answers
For the question "A new washer and dryer set costs $1250 with an annual expenditure of $100 for electricity..." None of the options are correct
What is annual expenditure?The statement "The annual cost of the washer-dryer set will never exceed $100 during the life of the set" is false because the function C(n) is defined as C(n) = (1250 + 100(n))/n,
A washer-dryer set has an average lifetime of 10ten years
But given the function
C(n) = (1250 + 100(n))/n,
even after 5000 years, the washer-dryer set will still be above $100 as shown below
[tex]C(5000)=\frac{1250+100\left(500000\right)}{500000}[/tex]
C(5000)=100.0025
b) For the given function C(n) = (1250 + 100n) / n, the highest power of x is 1 in both the numerator and denominator. The leading coefficient of the numerator is 100 and the leading coefficient of the denominator is 1, so the horizontal asymptote is the line y = 100.
To find the vertical asymptotes of a rational function, we need to look for values of x that make the denominator equal to 0, but the numerator not equal to 0. These values of x will be the vertical asymptotes of the graph.
For the given function C(n) = (1250 + 100n) / n, the denominator is n, so the vertical asymptotes are x = 0.
Therefore, the asymptotes of the graph of C(n) = (1250 + 100n) / n are the horizontal asymptote y = 100 and the vertical asymptote x = 0.
The statement "The asymptotes of the function are at x = –12.5 and y = 100" is false because a function does not have asymptotes if it is defined for all values of x. In this case, the function C(n) is defined for all positive values of n, so it does not have asymptotes.
c) The statement "The annual cost after 10 years is $225 assuming only purchase and electricity expenses" is false because the annual cost after 10 years is given by
C(10) = (1250 + 100*10)/10
C(10)=225
But
= 225 + 100 (10)
=225000
Therefore, the annual cost after 10 years is $225000, not $225.
Hence given this none of the Options are correct
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CQ
A new washer and dryer set costs $1250 with an annual expenditure of $100 for electricity.
The function C(n) =1250+100n/n represents the annual cost of operating the washer-dryer set (besides the $100 for electricity) as a function of n years of owning the set.
Which of the following statement(s) about the function is true?
I. The annual cost of the washer-dryer set will never exceed $100 during the life of the set.
II. The asymptotes of the function are at x = –12.5 and y = 100.
III. The annual cost after 10 years is $225 assuming only purchase and electricity expenses.
F I only
G I and II only
H I and III only
J I, II, and III
11) if 7∧ (1-x) = 2 ∧ (1+x), what is the value of x?
help
Answers
Answer:
x = 0.47
Step-by-step explanation:
[tex] {7}^{(1 - x)} = {2}^{(1 + x)} \\ apply \: log \: of \: base \: 7 \: to \: both \: sides \\ log_{7}(7)^{(1 - x)} = log_{7}(2)^{(1 + x)} \\ (1 - x) log_{7}(7) = (1 + x) log_{7}(2) \\ 1 - x = 0.36(1 + x) \\ 1 - x = 0.36 + 0.36x \\ 0.36x + x = 1 - 0.36 \\ 1.36x = 0.64 \\ x = \frac{0.64}{1.36} \\ x = 0.47[/tex]
Given AB CD , what is the m∠ x and m∠ y in this diagram?
Justify your answer using geometry vocabulary.
Answers
Answer:
m∠ x is 130° and m∠ y is 130°
Step-by-step explanation:
Based on the drawn example I gave would explain why
So because ∠AGF = ∠CHF that would make these two angles Corresponding angles and corresponding angles are congruent
Thus making ∠AGH or m∠ x equals 130°
Now we look at ∠DHE and ∠AGF these two angles would be classified as Alternate interior angles which would make them congruent to each other aswell
Thus making ∠DHG or m∠ y equals 130°
Reason also includes the fact that m∠ x and m∠ y would be alternate interior angles also
Solve the inequality. Enter the answer as an inequality that shows the value of
the variable; for example f> 7, or 6 < w. Where necessary, use <= to write <
and use >= to write 2.
v-(-5) <-9
Answers
Solve the inequality. v - (-5) < -9 the solution for the inequality is
v < -14What is inequality?Inequality, A declaration of an order relationship between two numbers or algebraic expressions, such as greater than, greater than or equal to, less than, or less than or equal to.
How to solve the inequalityThe given algebraic expression is v - (-5) < -9
This is solved as follows
v - (-5) < -9
v + 5 < -9
v < -9 - 5
v < -14
The value of v is -14
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Which ordered pair makes both inequalities true? y > -2x + 3 and y < x - 2
(0, 0) (0, -1) (1, 1) (3, 0)
Answers
Answer:
Step-by-step explanation:
The answer is (3,0)
You need to plug in the values of x and y to figure it out, because a coordinate is in the form (x,y) so in (3,0) 3 is the x value and 0 is the y value.
If you plug (3,0) into the first inequality y > -2x+3 you get 0 > -3 which is true
steps
-2(3) +3 = -3
And if you plug (3,0) into the second inequality y < x-2 you get 0 < 1 which is also true
So basically just plug in the values of x and y into the inequality and test if it works on one of the inequalities you've been given if it doesn't try the next order pair, if it does try it on the other inequality and check if it works on it to.
please helpp its urgent!!!!
Answers
Answer:
b. [tex]y = -0.03x + 18.4[/tex]
explanation:
is just some logic. we see the second unit on the x-axis is 4, so let's try that. -0.03 * 4 = -0.12. -0.12 + 18.4 = 18.28. 18.28 lines up with the 18.3 measurement we see. the next closest option brings us to 17.8, so we'll go with b.
A bag contains four red cards numbered 1 through 4, four white cards numbered 1 through 4, and four black cards numbered 1
hrough 4. You choose a card at random.
The number of possible outcomes in the sample space is
Answers
Answer:
64 possible outcomes
Step-by-step explanation:
Since the bag contains four red cards, four white cards, and four black cards, each with a unique number from 1 to 4, there are a total of 4 * 4 * 4 = <<444=64>>64 possible outcomes in the sample space. This means that there are 64 possible cards that could be chosen, and each of these is an equally likely outcome.
By rounding to 1 significant figure, estimate
40.73
×
1.06
Answers
By rounding to 1 significant figure, estimate answer is 40
What is significant figures?
Significant figures of a number in positional notation area unit digits within the number that area unit reliable and necessary to point the number of one thing.
Main body:
1) 40.73 to 1 significant figure = 40.
2) 1.06 to 1 significant figure = 1.
3) Therefore, we just multiply 40 by 1, which equals 40.
FURTHER EXPLANATION (IF NEEDED):
With significant figures, whole numbers such as 10, 20, 50 etc. have 1 significant figure. This is because the 0 does not count as a significant figure.
With decimals, all numbers after the decimal point are also included as significant figures (even 0). E.g. 40.73 has 4 significant figures and 1.06 has 3 significant figures.
EXAMPLES (IF NEEDED):
Rounding to 2 significant figures:
40.73 = 42
1.06 = 1.1
Rounding to 3 significant figures:
40.73 = 40.7
1.06 = 1.06 (because it's already in 3 significant figures)
Rounding to 4 significant figures:
40.73 = 40.73 (already in 4 significant figures)
1.06 = 1.060 (0 is counted as a significant figure if there is a decimal or another number comes after that 0)
E.g. 1006 has 4 sig figs, while 1060 would have 3 sig figs because the last 0 is not counted as a significant figure. 10.60 would have 4 sig figs because of the decimal.
Hence , By rounding to 1 significant figure, estimate answer is 40.
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Which method is best for root finding?
Answers
Answer:
on the value of the root may produce a value of the polynomial at the approximate root that is of the order of. For avoiding these problems, methods have been elaborated, which compute all roots simultaneously, to any desired accuracy. Presently the most efficient method is Aberth method.
Solve the system of linear equations. -3x+5y=13 x+4y=-10
Answers
Answer:
Solve for X: -3x + 5y=13 is x=5/3y + −13/3
(Solve for y: 3/5x + 13/5)
Solve for X: x+4y=-10 is x= −4y−10
(solve for y: y= −1/4x + −5/2)
Step-by-step explanation:
Solve for X in -3x + 5y=13:
Step 1: Add -5y to both sides.
−3x+5y+−5y=13+−5y
−3x=−5y+13
Step 2: Divide both sides by -3.
−3x/−3 = −5y + 13/−3
x = 5/3y + −13/3
Solve for Y in -3x + 5y=13:
Step 1: Add 3x to both sides.
−3x + 5y + 3x = 13 + 3x
5y = 3x + 13
Step 2: Divide both sides by 5.
5y/5 = 3x + 13/5
y = 3/5x + 13/5
Solve for X in x+4y=-10:
Step 1: Add -4y to both sides.
x + 4y + −4y = −10 + −4y
x = −4y −10
Solve for Y in x+4y=-10:
x+4y=−10
Step 1: Add -x to both sides.
x + 4y+ −x = −10 + −x
4y=−x−10
Step 2: Divide both sides by 4.
4y/4 = −x − 10/4
y = −1/4x + −
Hope this helps!!Question
Solve for x.
3/5(x−7/10)=−314
Enter your answer as a mixed number in simplest form in the box.
x =
Answers
Answer:
x = -522 19/30
Step-by-step explanation:
To solve for x, distribute the 3/5. This gives us 3/5x - 21/50 = -314. Add over 21/50 to the other side, allowing for 3/5x to equal -313 29/50. Divide by 3/5 on both sides and we get x equal to -522 19/30. This is the final answer as a mixed number and is also in simplest form.
Find an equation that fits this question please
Answers
Answer:x-25=y
Step-by-step explanation:
u just subtract and put it into equation form
During a single day at radio station WMZH, the probability that a particular song is played is 0.23. What is the probability that this song will be played on exactly 0 days out of 7 days? Round your answer to the nearest thousandth.
Answers
The probability that this song will be played on exactly 0 days out of 7 days, if The probability that a particular song is played is 0.23 is 0.008.
What is the combination?A combination is a choice of items from a group of different items, where the order of the choices is irrelevant.
Given:
The probability that a particular song is played is 0.23,
As can be seen that the problem is of combination, so we have to choose 5 out of 7,
Calculate the combination as shown below,
⁷C₅ = 7! / (5! × 2!) = 7 × 6 / 2
⁷C₅ = 7 × 6 / 2
⁷C₅ = 21
Calculate the probability as shown below,
P = ⁷C₅ × (0.23)⁵ × (0.77)²
P = 0.008
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What is the order from least to greatest of the following: 0.7, −0.2, 2.2, and −2.3?
−2.3, −0.2, 0.7, 2.2
2.2, 0.7, −0.2, −2.3
−0.2, 2.2, 0.7, −2.3
0.7, −0.2, −2.3, 2.2
Answers
The order from least to greatest is −2.3, −0.2, 0.7, 2.2. The correct option is A.
What is an ascending order?When numbers are arranged in ascending order, they are done so from smallest to largest. We must first compare the numbers before we can arrange them in any order. Compare first, then order. Numbers are arranged in ascending order.
Given that the numbers are 0.7, −0.2, 2.2, and −2.3. The numbers in ascending order will be arranged as,
0.7, −0.2, 2.2, −2.3
-2.3 > -0.2 > 0.7 > 2.2
Hence, the ascending order of the given data is -2.3 > -0.2 > 0.7 > 2.2.
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(co 3) what is the term that describes the data that defines and characterizes other data within an electronic system?
Answers
An electronic health record (EHR) is a document that contains information about a patient that has been securely authorised. Medical providers can enter data and update a new encounter using an electronic health record.
By enabling appropriate access to and secure electronic sharing of a patient's critical medical information, the electronic health information exchange (HIE) helps to increase the efficiency, effectiveness, safety, and affordability of patient care.
The "blueprint" of a database, or how the data may link to other tables or other data models, is known as a database schema. The schema does not, however, actually hold any information. A database instance is a sample of data from a database at a specific point in time.
An electronic health record (EHR) is a document that contains information about a patient that has been securely authorised. Medical providers can enter data and update a new encounter using an electronic health record.
Microsoft uses a document format called DOC. A document called a DOC file includes formatted text, graphics, tables, graphs, and charts, among other things.
Data that can be entered in free text style is referred to as unstructured data. Structured data is a type of data that includes check boxes, graphics, tables, and other options that the user can select from.
Since the DOC system uses free text, the EHR's data is structured.
Therefore,
An electronic health record (EHR) is a document that contains information about a patient that has been securely authorised. Medical providers can enter data and update a new encounter using an electronic health record.
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A box in the shape of a rectangular prism has the dimensions shown. What is the length of the interior diagonal of the box? Round to the nearest tenth. Enter your answer in the box. A rectangular prism 60 centimeters wide, 80 centimeters long, and 100 centimeters tall. A diagonal d is drawn from the upper right rear corner to the lowest left front corner.
Answers
It is to be noted that the length of the interior diagonal of the box whose dimensions are Height 100cm, Lenght, 80 cm, and width 60 cm, is 140.4cm.
What is the formula for the length of a right rectangular prism?
Recall that the formula for the diagonal length of a right rectangular prism is calculated as √(l² + w² + h²) units. So, the formula for the length of a right rectangular prism's diagonal is √(l²+w²+h²), where l is the length, b is the breadth, and h is the height.
Plugging in the values we have:
d² = 60² + 80² + 100²
Solving for d, we get:
d = √(660² + 80² + 100²)
= √(3600 + 6400 + 10000)
= √(20000)
= 140.4 cm
Thus, the length of the interior diagonal of the box is 140.4 cm.
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A circle has a diameter of 100 inches. Which expression could be used to find the area of the circle?
100² × π
50² X π
2 × 50² × π
2× 10² x π
Please help if possible
Answers
The correct expression for the area of the circle will be;
⇒ 50² × π
What is Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
A circle has a diameter of 100 inches.
Now,
Since, A circle has a diameter of 100 inches.
Hence, A circle has a radius = 100/2 = 50 inches.
We know that;
The area of circle = πr²
Where, 'r' is radius of the circle.
Substitute all the values, we get;
⇒ The area of circle = πr²
⇒ The area of circle = 50² × π
Thus, The correct expression is,
⇒ 50² × π
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Which of the following properties must a relation have in order to be considered an equivalence relation?
A. symmetry
B. reflexivity
C. transitivity
Answers
All symmetry, reflexivity, and transitivity are required for an equivalence relationship.
What is equivalence?In mathematics, equivalence refers to the quality of elements of a group or in a set that share common features.
What are the requirements for an equivalence relationship?To have an equivlance relationship, three requirement are needed:
Symmetry: This can be expressed as a = a and this shows the elments at both sides of the equal symbol can be considered as equivalent.Reflexivity: This can be expressed as a = b then b = a. This property similar to the first property shows sets of numbers are related and equivalent.Transivity: This property can be expressed as If a = b and b = c then a = c. This property implies that if a is equivalent to b, and b is equivalent to c, then it can be concluded a is equivalent to c.Learn more about symmetry in: https://brainly.com/question/1597409
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Which of these expressions equal 15 when x = and y = 3?
*There is more than correct answer.
ry+3+201
4 (2y-4r) -1
04r²+2y-10
04 (2²+1) + 2x + 3y
0-14r2
Answers
The given are the expressions that are equivalent to 15 for [x] = 1/2 and [y] = 3 :
4(2y - 4x) - 1 4(x² + 1) + 2x + 3yxy + 3[tex]\frac{1}{2}[/tex] + 20xWhat is expression in mathematics?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.
Given are the expressions as shown in the image attached.
Let us check the expressions for an equivalent value of 15.
Expression [1] :
4(2y - 4x) - 1
4(2 x 3 - 4 x 1/2) - 1
4(6 - 2) - 1
4 x 4 - 1
16 - 1
15
Expression [2] :
4(x² + 1) + 2x + 3y
4(1/4 + 1) + 2 x (1/2) + 3 x 3
4(5/4) + 1 + 9
5 + 10
15
Expression [3] :
xy + 3[tex]\frac{1}{2}[/tex] + 20x
1/2 x 3 + 7/2 + 20 x 1/2
3/2 + 7/2 + 10
1.5 + 3.5 + 10
15
Therefore, the expressions that are equivalent to 15 when [x] = 1/2 and [y] = 3 are
4(2y - 4x) - 1 4(x² + 1) + 2x + 3yxy + 3[tex]\frac{1}{2}[/tex] + 20xTo solve more questions on functions and expressions, visit the link -
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I’m GIVING BRANILYIST HELPPPP apple seed=1
Apple seeds Johnny planted
at each location
Charleston Louisville Richmond
Location
What is the range of apple seeds planted?
apple seeds
Springfiel
Answers
Answer: range is 4.
Step-by-step explanation:
highest apples: 6 at springfield.
lowest apples: 2 at charleston.
subtract.
6-2=4.
How many 3/4-cup servings are in 5/12 cups of yogurt?
Answers
Use the values log 128≈ 2.1 and log 4≈ 0.6 to find the approximate value of log4 128.
log, 128
The solution is
Answers
The approximate value of [tex]log_4128[/tex] is 3.5.
What is logarithm?
The opposite of exponentiation in mathematics is the logarithm. The exponent to which b must be raised in order to produce a number x is therefore the logarithm of a number x to the base b. For instance, since 1000 = 10^3, log10 of 1000 is 3, or log10 = 3.
Given: log 128≈ 2.1 and log 4≈ 0.6
We have to find the approximate value of [tex]log_4128[/tex].
We know that,
[tex]log_ba = \frac{loga}{logb}[/tex]
Here,
[tex]log_4128 = \frac{log128}{log4}[/tex]
Plug the values of log 128 and log 4
⇒ [tex]log_4128 = \frac{log128}{log4} = \frac{2.1}{0.6} = 3.5[/tex]
Hence, the approximate value of [tex]log_4128[/tex] is 3.5.
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Rewrite the equation
Answers
Option D} y=-4x-2
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A school dance club is selling bottled water at a football game to raise
funds. The club has raised $26 so far and has the goal of raising $100.
If each bottle of water earns the club an additional $2, which equation can
be used to find the number of bottles of water w that the club needs to sell
to reach their goal?
Answers
Step-by-step explanation:
A school dance club is selling bottled water at a football game to raise funds. The club has raised $26 so far and has the goal of raising $100. If each bottle of water earns the club an additional $2, which equation can be used to find the number of bottles of water w that the club needs to sell to reach their goal?
equation:
100 = 2w - 26
solving:
100 = 2w - 26
74 = 2w
w = 37 more bottles
What's the slope of the line connecting (-3, -6) and (-6, -8)? (You may enter your answer as a fraction. Otherwise, round
your answer to 2 decimal places.)
Answers
Answer:
Two-thirds
Step-by-step explanation:
slope is
∆y/∆x = (y2-y1) divided by (x2-x1)
= (-8-(-6)) divided by (-6-(-3))
= -2 divided by -3
= 2/3
Write an inequality that represents the solutions on the number lines below.
Answers
Answer:
just use the number line
-3<x<4
and
x<3
What is the equation of line A? b) What is the equation of line B?
Answers
Answer:
Equation of line A: y = 4
Equation of line B: x = 8
Step-by-step explanation:
I am not sure how to explain this but those are your answer.
if you want to know the probability that it is a defective bolt (event c), which formula would you use?
Answers
The given probability is based on conditions of two events, hence it is called as conditional probability and it's formula according to the events is option.a [tex]p(\frac{C}{A})=\frac{p(\frac{A}{C}).p(C)}{p(A)}[/tex]
Bayes' rule is a mathematical theorem that allows you to modify probability statements in response to new information. With this rule, you can reverse the conditional probability statement and find the probability of the first event occurring given the probability of the second event occurring by using the probability of the second event occurring given the probability of the first event occurring.The first event in this case is that the bolt is defective (event C). The second occurrence is that it was selected from the first machine (event A). As a result, given that the bolt is from the first machine, we can state the conditional probability that it is defective.
Hence, the formula is [tex]p(\frac{C}{A})=\frac{p(\frac{A}{C}).p(C)}{p(A)}[/tex].
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Your question is incomplete , here is the complete question
In a factory that manufactures bolts, the first machine manufactures 70% of the bolts and a second machine manufactures the remaining 20%. The percentage of defective bolts is 3% and 5%, respectively.An employee picks a bolt off a shelf at random and it is from the first machine (event A).If you want to know the probability that it is a defective bolt (event C), which formula would you use?
[tex]a.\ p(\frac{C}{A})=\frac{p(\frac{A}{C}).p(C)}{p(A)}\\\\b.\ p(\frac{A}{C})=\frac{p(\frac{A}{C}).p(A)}{p(C)}\\\\c.\ p(\frac{C}{A})=\frac{p(\frac{A}{C}).p(A)}{p(C)}\\\\d.\ p(\frac{A}{C})=\frac{p(\frac{C}{A}).p(A)}{p(C)}[/tex]
One angle measures 130°, and another angle measures (8k + 58)°. If the angles are vertical angles, determine the value of k.
Answers
Vertical angles are pairs of angles that are located on opposite sides of a line and are equal in measure, the value of k is 9.
How to find value of k ?Vertical angles are pairs of angles that are located on opposite sides of a line and are equal in measure. They are formed when two lines intersect, and they are always congruent, or equal in measure.
That if one angle measures 130°, the measure of its vertical angle must also be 130°.
If the other angle has a measure of (8k + 58)°, and it is a vertical angle to the angle that measures 130°, then it must also have a measure of 130°.
We can set up the equation 130 = 8k + 58 and solve for k to find the value of k.
Subtracting 58 from both sides gives us 72 = 8k. Dividing both sides by 8 gives us k = 9.
Therefore, the value of k is 9.
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