Answer: To find the length of the wire from the tower to its anchor in the ground, you can use the formula for the length of a side in a 30-60-90 triangle. Since the angle between the wire and the tower is 15°, the angle between the wire and the ground is 75° (90° - 15°). This means that the wire and the tower form a 30-60-90 triangle.
In a 30-60-90 triangle, the side opposite the 30° angle is half as long as the hypotenuse, and the side opposite the 60° angle is half as long as the side opposite the 90° angle. Since the wire is the hypotenuse of the triangle, and the wire is opposite the 60° angle, the length of the wire from the tower to its anchor in the ground is half as long as the hypotenuse.
Therefore, the length of the wire from the tower to its anchor in the ground is 500/2 = 250 meters.
Just answer it, dont have to show work, will mark brainly
The system of equations with the same solution set as the system of equations given is presented as follows:
5x + 3y = 10.x - 2y = -1.How to obtain the system of equations with the same solution set?The system of equations for this problem is presented as follows:
5x + 3y = 10.2x - 4y = -2.Another system of equations will have the same solution set as the system given when it's equations are multiples of the equations in this problem.
This holds true for the first option, as:
The first equation is the same for both systems, 5x + 3y = 10.The second equation on the first option is x - 2y = -1, meaning that it was the second equation of the given system divided by 2.More can be learned about a system of equations at https://brainly.com/question/24342899
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Go step by step to reduce the radical
The reduced form of the radical √192 is 8√3.
How to reduce radicals?A radical is a symbol that represents a particular root of a number. Radical simply means square root of a number.
Therefore, the symbols for radical is √.
Let's reduce the radical accordingly,
√192
Let's find number you can multiply to get 192. One of the numbers will be a perfect square.
Therefore, the numbers are 64 and 3. 64 is the perfect square.
Therefore,
√192 = √64 × 3 = √ 8² × 3 = 8√3
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Booker T. Washington Middle School found two companies that would deliver healthy snacks to school. The tables below show the price charged by each company. How many more times does Company B charge per snack than Company A?
Two more times company B charge per snack than company A
What is meant by ratio?A ratio in mathematics displays the multiplicative relationship between two numbers. In a bowl of fruit, for instance, the proportion of oranges to lemons is eight to six if there are eight oranges and six lemons (that is, 8:6, which is equivalent to the ratio 4:3). In a similar vein, the proportion of oranges to the overall amount of fruit is 8:14, and that of lemons to oranges is 6:8 (or 3:4). (or 4:7).
A ratio can have any number of numbers as its components, including counts of people or things, weights, lengths, and times, among other values.
From the two tables,
0.5/0.25=2
1/0.5=2
1.5/0.75=2
2/1=2
Therefore, 2 more times company B charge per snack than company A
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Select the correct text in the passage.
iS John is a journalist. He went to a product demonstration for a new computer. Some of what he heard was informative, while the rest was meant to
persuade consumers to buy the product. Which two statements in the excerpt are persuasive rather than informative?
At the latest launch by the computer manufacturer Mintel Corporation, they demonstrated the latest smart technology in their new computer. The
computer has voice recognition software that can adapt the user's experience to his or her preferences. This is something no other computer can
do at present.
The computer also has touchscreen technology, is loaded with the latest apps, and comes with a free year's subscription to Adobe
Photoshop. This is the best buy on the market.
The two sentences meant to persuade are the following:
"This is something no other computer can do at present.
"This is the best buy on the market".
What are the sentences for persuasion?It should be noted that persuasion is used to make someone agree to a particular point. From the information, at the latest launch by the computer manufacturer Mintel Corporation, they demonstrated the latest smart technology in their new computer.
The computer has voice recognition software that can adapt the user's experience to his or her preferences. This is something no other computer can do at present.
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The function p(x) = x³ + x² = x³ + x²-x+ 5 is graphed on the coordinate plane. As x approaches positive infinity, what value does p(x) approach?
A. 0
B. 5
C. +infinity
D. -infinity
As x approaches positive infinity, the function r(x) approaches negative infinity.
What is a function approaches infinity?
In general, a fractional function will have an infinite limit if the limit of the denominator is zero and the limit of the numerator is not zero.
As x approaches positive infinity, the term x^3 becomes dominant, and the value of the function p(x) approaches positive infinity as well.
In general, when the highest-order term in a polynomial function has a positive coefficient, the function will approach positive infinity as x approaches positive infinity.
Similarly, if the highest-order term has a negative coefficient, the function will approach negative infinity as x approaches positive infinity.
For example, consider the function q(x) = 3x^3 - 2x^2 + x - 5. As x approaches positive infinity, the term 3x^3 becomes dominant, and the function q(x) approaches positive infinity. On the other hand, if we consider the function r(x) = -3x^3 + 2x^2 - x + 5, the highest-order term is -3x^3, which has a negative coefficient.
Therefore, as x approaches positive infinity, the function r(x) approaches negative infinity.
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set the two equations to each other then solve for x y=2x-3
Answer:
The value of x is (y + 3)/2
Step-by-step explanation:
y = 2x - 3
y + 3 = 2x - 3 + 3
y + 3 = 2x
2x/2 = (y + 3)/2
x = (y + 3)/2
Thus, The value of x is (y + 3)/2
Answer:
x = (y + 3)/2
Step-by-step explanation:
Now we have to,
→ Find the required value of x.
The equation is,
→ y = 2x - 3
Then the value of x will be,
→ y = 2x - 3
→ 2x - 3 = y
→ 2x = y + 3
→ x = (y + 3)/2
→ x = (y/2) + (3/2)
Hence, answer is x = (y + 3)/2.
what is 3f2 x 7f??????????????????????
Answer:
f1= -2+1/3
f2= 0
Step-by-step explanation:
3f^2+7f=0
a = 3; b = 7; c = 0;
Δ = b2-4ac
Δ = 72-4·3·0
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
f1=−b−Δ√2af2=−b+Δ√2a
Δ−−√=49−−√=7
f1=−b−Δ√2a=−(7)−72∗3=−146=−2+1/3
f2=−b+Δ√2a=−(7)+72∗3=06=0
Write the linear equation in slope intercept form
[tex]y= - \frac{1}{3} z +2[/tex] is slope intercept form of given equation.
How do you write slope intercept form?Y = mx+b, where m is the slope and b is the y-intercept, is the formula for the slope-intercept form (the point where the line crosses the y-axis). Using y=mx+b to graph a line is typically simple. The standard form and the point-slope form are other formats for linear equations.Y equals mx plus b is actually the slope intercept form. Because it provides both a slope and an intercept, the form is known as a slope intercept form.Given liner equation :
[tex]\frac{1}{3} z + y = 2[/tex]
[tex]y = 2 - \frac{1}{3} z[/tex]
[tex]y= - \frac{1}{3} z +2[/tex]
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n- ? 1) When loan officers speak to people about taking out a loan for a certain principal, P at a certain monthly rate, they always have to balance two quantities, the monthly payment, m] with the number of payments, n] it takes to pay off the loan. These two vary inversely. All of these quantities can be related by the formula: Por 1-(1+r)¯" m= Calculate the monthly payment needed to pay off a $200,000 loan at 4% yearly interest over a 20-year period.. 110
[tex]m = \frac{200000.1/3}{1-(2/3)^{-240} }[/tex] is the monthly payment
What is Compound interest?
Compound interest, also known as interest on principal and interest, is the practice of adding interest to the principal amount of a loan or deposit.
According to given question:
Principle Amount (P) = $200, 000
Rate(r) = 4% yearly
Rate(r) = 4/12 % Monthly
Rate(r) = 1/3 % Monthly
Time = 20 years = 240 months
⇒ 240 is the number of payment needed to pay
n = 240
Therefore, the monthly payment needed to pay
⇒ [tex]m = \frac{P.r}{1-(1-r)^{-n} }[/tex]
⇒ [tex]m = \frac{200000.1/3}{1-(1-1/3)^{-240} }[/tex]
⇒ [tex]m = \frac{200000.1/3}{1-(2/3)^{-240} }[/tex]
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The school's math team has 14 new members this year, which makes a total of 34. The number of new members represents about what percent of the total membership?
41% of the math team's total members are brand-new recruits.
What is percentage ?It is the ratio of two integers expressed as a decimal fraction of a whole number. It is a statistic for contrasting two sets of data, and the % sign is used to describe it as a percentage.
Percentages are often and creatively used. For instance, a lot of data is published as percentages in the media, including bank interest rates, retail discounts, and inflation rates. Percentages are essential for grasping the financial aspects of daily living.
The percentage of the entire membership that the number of new members represents is determined to be
=(14/34)×100
=41 %
0.41 x 100 = 41%
This means that 41% of the club is new members!
Thus, the number of new members is 41% of the total membership of the maths team.
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Charlotte bought a magazine for $5 and four boxes of candy. She spent a total of $25. How much did each box of candy cost?
Answer: $5
Step-by-step explanation: To calculate how much she spent on the 4 boxes of candy, we need to subtract 5 from 25, because we won't be including the cost of the magazine. So, therefore 25-5 is 20. So, now to find the cost for one, we need to set up a proportional relationship like this:
[tex]\frac{20}{4}[/tex] = [tex]\frac{?}{1}[/tex]
So, with that, we need to divide 4 by 20 to find the cost of 1. So, if you know, 20 divided by 4 = 5. So, therefore the cost of each candy box is $5. We can check our answer if we use the inverse operations, so our new equation would look like this:
5(4) + 5 = 25
We can check this, because we know 5 x 4 = 20, and 20 + 5 = 25. So 25 = 25, so it is $5.00
Write Expressions Word Problems 1.
You run a small business and would like to print some business cards.
Staples offers color business cards for a small fee.
The cost is $.75 per card.
A) Write an expression for the total cost (in dollars) if you print b business cards. B) How much does it cost you to print 50 business cards?
Step-by-step explanation:
cost of business card - $.75 ( per card )
I want to print 50
So we will multiply 75 × 50
75
×50
00
355×
=375
$.375 will be the cost of the same
The point is located on the x-axis and 10 units to the left of the y-axis
The ordered pair is located at the x-y coordinate at (- 10, 0).
What is an ordered pair?An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence.
Pair in Order = (x, y)
x is the abscissa, the distance measure of a point from the primary axis x
y is the ordinate, the distance measure of a point from the secondary axis y
Given, A point is located on the x-axis which is y = 0, and 10 units to the left of the y-axis which is x = - 10.
So, The location of the ordered pair (x, y) is (- 10, 0).
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Step by step !!!!pease help
The option C is correct
What is the mathematical ratio?
Definitions: When the second number in the ordered pair, b, is not equal to 0, the ratio is expressed as a/b. An equation in which two ratios are made equal is known as a percentage. For instance, you could express the ratio as 1: 3 if there is 1 guy and 3 girls
Given that:
Everglades Elementary school Purchases 125 fourth grade math's textbooks and 191 fifth grade math's textbooks
Total textbooks = 125 + 191 = 316 books
A box can contain maximum = 28 books
so the ratio of books and box will be = 316/28 = 11 box and 8/28
So total box will be 11 completely filled and the last one will be filled by 8/28
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Help please !!!???!!!!
Answer:
the lenth of the court is 78 feet
On Thursday the Meat King Market sold 210 pounds of ground beef. On Friday they sold twice
that amount. On Saturday they only sold 130 pounds. How much more meat did they sell on
Friday than Saturday?
Answer:
290
Step-by-step explanation:
210 x 2 = 420
420 - 130 = 290
An object is attached to a spring that is stretched and released. The equation d= -8cos (pi/6 t) the distance, d, of the object in inches above or below the rest position as a function of time, t, in seconds. Approximately when will the object be 6 inches above the rest position? Round to the nearest hundredth, if necessary.
The time at which the object is 6 inches above the rest position will be 4.62 seconds.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
An item is connected to a spring that is extended and delivered. The condition d= - 8cos [(π/6) t] the distance, d, of the item creeps above or underneath the rest position as an element of time, t, in a flash.
d= - 8cos [(π/6) t]
If d = 6, then the value of the variable 't' is calculated as,
6 = - 8cos [(π/6) t]
- 3/4 = cos [(π/6) t]
cos [(77/100)π] = cos [(π/6) t]
Compare the angle, then we have
(π/6) t = (77/100)π
t / 6 = 77 / 100
t = 4.62 seconds
The time at which the item is 6 crawls over the rest position will be 4.62 seconds.
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Please help me im trying to finish before deadline
The theorem that proves <DAE=<BAC is Pythagoras theorem.
What is Pythagoras theorem ?The Pythagorean Theorem, often known as Pythagoras Theorem, is a crucial concept in mathematics that describes how the sides of a right-angled triangle relate to one another. Pythagorean triples are another name for the sides of the right triangle. Here, examples help to demonstrate the formula and proof of this theorem.In essence, the Pythagorean theorem is used to determine a triangle's angle and length of an unknown side. This theorem allows us to obtain the hypotenuse, perpendicular, and base formulas. In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem.To learn more about Pythagoras theorem refer to:
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how would increases in tolerable misstatement and assessed level of control risk affect the sample size in a substantive test of details
Increases in tolerable misstatement will decrease sample size and assessed level of control risk will Increase sample size in a substantive test of details.
Sample size will be decreased when there is an increase in tolerant misstatement because there is a deviation that does not impact the financial statement. An increase in the assessed level of control risk, on the other hand, will increase sample size because the risk of material misstatements has also increased.
Complete question:-
How would increases in tolerable misstatement and assessed level of control risk affect the sample size in a substantive test of details?
a. Increase in Tolerable Misstatement = Decrease sample size. Increase in Assessed Level of Control Risk = Decrease sample size
b. Increase in Tolerable Misstatement = Decrease sample size. Increase in Assessed Level of Control Risk = Increase sample size
c. Increase in Tolerable Misstatement = Increase sample size. Increase in Assessed Level of Control Risk = Decrease sample size
d. Increase in Tolerable Misstatement = Increase sample size. Increase in Assessed Level of Control Risk = Increase sample size
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Fractions on number line help!!!!!
Answer:
There are four small lines between 0 and 1 in the number line, they denote the decimals : 0.2, 0.4, 0.6 and 0.8. Put the SUM on the 0.4 line
The ratio of females to males at a movie is 8 7 If there are 28 males how many females
are in the movie
Answer: 32 females
Step-by-step explanation:
28 divided by 7 = 4
so, multiply 8 by 4 as well.
Answer: 32 females are at the movie
Step-by-step explanation:
8(females):7(males)
x:28
28/7= 4
x=4x8
x=32
There are 32 females
Which expression is equivalent to the expression below?
7p+3(2q+9p)
a.7(p+6q+27p)7(p+6q+27p)
b.-2p+12q−2p+12q
c.-p+9q−p+9q
d.34p+6q34p+6q
The equivalent expression will be;
⇒ 34p + 6q
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ 7p + 3 (2q + 9p)
Now,
Since, The expression is,
⇒ 7p + 3 (2q + 9p)
Hence, Solve for equivalent expression as;
⇒ 7p + 3 (2q + 9p)
⇒ 7p + 6q + 27p
⇒ 34p + 6q
Thus, The equivalent expression is find as,
⇒ 34p + 6q
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g(x) = x² - 4x²+x+6
The simplified expression of g(x) = x² - 4x² + x + 6 is g(x) = -3x² + x + 6
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
g(x) = x² - 4x²+x+6
Rewrite properly
So, we have the following representation
g(x) = x² - 4x² + x + 6
Evaluate the like terms
g(x) = -3x² + x + 6
The above expression cannot be further simplified
Hence, the solution is g(x) = -3x² + x + 6
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please help with this
The second price means how much the chips cost per gram. That's what the "/g" part means. Divided by gram. So, the second price of 1000 grams of Nameless chips gets you more chip per cent, because the bag charges $0.002 per gram instead of $0.003 per gram as the other does.
Find the number of degrees for the sum of the interior angles of a regular 12-sided figure.
Answer:
Sum of 12-sided polygon=1800°
Measure of each interior angle of a regular12-sided polygon=150°
Could someone pls explain on how to find the 5 number summary, Recall that the 5-number summary is the minimum, lower quartile, median, upper quartile, and maximum.
The numbers are 1 1 1 1 3 3 3 4 4 4 5 5 5 5 6 6 6 13 13 16 16 16 21 22 24 28 28
Maximum = 28, Minimum = 1, Lower Quartile = 3, Median = 5, and Upper Quartile = 16
The Five Number Summary is what?The minimum, lower quartile (Q1), median (Q2), upper quartile (Q3), and maximum make up the five-number summary. The median is the middle value; Q1 is the median of the first half of the data, and Q3 is the median of the second half. The lowest is the smallest number, the maximum is the highest, the median is the intermediate value.
The 5 digit summary definition
minimal is a smaller number.
lower quartile: First-half median of the data.
median
upper quartile :Median of the second half of data
greatest number is maximum
The numbers are 1 1 1 1 3 3 3 4 4 4 5 5 5 5 6 6 6 13 13 16 16 16 21 22 24 28 28
minimum = smallest number = 1
lower quartile = Median of the first half of data = 1 1 1 1 3 3 3 4 4 4 5 5 5 = 3
median = median( middle value) = 5
upper quartile = Median of the second half of data = 6 6 6 13 13 16 16 16 21 22 24 28 28 = 16
maximum = largest number = 28
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A hook in an office storage closet can hold no more than 6 pounds. An order of jumbo paperclips weighs 2 pounds and an order of packing tape weighs 3 pounds. If x is the number of orders of paperclips and y is the number of orders of packing tape, which graph represents the overall equation represented by this scenario (all points may not apply to the scenario)?
On a coordinate plane, a solid straight line has a negative slope and goes through (0, 2) and (3, 0). Everything below and to the left of the line is shaded.
On a coordinate plane, a solid straight line has a negative slope and goes through (0, 2) and (3, 0). Everything above and to the right of the line is shaded.
On a coordinate plane, a solid straight line has a negative slope and goes through (0, 3) and (2, 0). Everything to the right of the line is shaded.
On a coordinate plane, a solid straight line has a negative slope and goes through (0, 3) and (2, 0). Everything to the left of the line is shaded.
The first graph shows how many of each order could fit into a bag that was hanging from a hook. First, a detailed explanation: * Let's discuss the issue's solution.
Find graph?The quantity of orders of paperclips is x, and the weight of the order of jumbo paperclips is 2 pounds. The order of paperclips weighs 2 x = 2 x, the order of packing tape weighs 3 lbs., and the quantity of orders of packing tape is y. The weight of the tape order is 3 y = 3 y, the weight of the entire order is 2 x + 3 y, and the hook can only support a maximum weight of 6 y. 2x + 3y ≤ 6
The graph that depicts this inequality, Any line's equation is y = mx + c, where m represents its slope.
The y-intercept indicates to replace x in the equation by 0; the x-intercept indicates to replace y in the equation by 0; 2x - 3y 6 is the inequality. 2x + 3y = 6 is the equation for the line.
- Subtract 2x from both sides: 3y = 6 - 2x; - Divide both sides by 3: y = 6/3 - 2/3 x; - Locate the y-intercept: x = 0; y = 2;
The line crosses the y-axis at position (0 , 2)
– Locate the x-intercept.
∵ y = 0
∴ 0 = 2 - 2/3 x
- Adjust both sides by 2/3x.
∴ 2/3 x = 2
Increase both sides by 3.
Divide all sides by 2 to get the answer.
∴ x = 3
The line crosses the x-axis at position (3 , 0)
First and second from the figure.
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9. A straight line passes through points (2, 12) and (3, 8). What is the equation of the
line?
how long will it take (in years) for the disintegration rate of this sample to drop to 809 disintegrations per minute?
Consequently, it would take roughly 690,64 years for the disintegrations to disappear.
What is disintegrations?Disintegration occurs when a whole entity breaks up into smaller pieces or simply vanishes. Disintegration is the breakdown, fragmentation, or spontaneous disintegration of something. Knowing that integration brings things or people together will help you to understand that disintegration refers to things breaking apart.
Here,
The formula for this is Activity = decay constant x atoms.
1238 = 2.64 x 1010 times the decay constant
decay constant is equal to 4.76 x 10-8 min-1.
Currently, the disintegrations are being slowed to 809 disintegrations per minute.
Ln(809) = Ln(2.64 x 1010) - Ln(4.76 x 10-8 x t)
t=3.63x108min = 690.64y
Consequently, it would take roughly 690,64 years for the disintegrations to disappear.
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Which of the following equations is parallel to 8x - 10y = -2 and contains (1, -2)?
1. 4x - 5y = -2
2. 5x - 4y = 6
3. 4x - 5y = 6
4. 4x - 5y = 14
needed as soon as possible
The linear equation that is parallel to 8x - 10y = -2 and contains (1, -2) is:
4x - 5y = 14
So the last option is the correct one.
Which of the following equations is parallel to 8x - 10y = -2?Remember that two linear equations are parallel only if both lines have the same slope (or coefficients if it is written in standard form) and different y-intercept.
Here our line is:
8x - 10y = -2
If we divide all the equation by 2, we will get:
(8x - 10y)/2 = -2/2
4x - 5y = -1
So any equation of the form:
4x - 5y = c, where c ≠ -1
Is parallel to 8x - 10y = -2
Now we want our line to pass through (1, -2), replacing these values in our line we get:
4x - 5y = c
4*1 - 5*-2 = c
4 + 10 = c
14 = c
Then the linear equation is:
4x - 5y = 14
So the correct option is the last one.
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