Answer:
Sybil may have confused the units, since 65 centimetres is 6.5 meters The correct length of the desk in meters is 0.65 because a centimetre is 0.01 of a meter.
Step-by-step explanation:
Her desk is actually 65 centimetre long . She made an error and conclude the length of her desk is 6.5 meter long. She made a mistake in her conversion .
1 centimetre = 0.01 meters
65 centimetres = ? meters
cross multiply
65 × 0.01 = 0.65 meters
A centimetre is equal to 0.01 meters. Therefore, using that conversion rate 65 centimetres will evaluate to 0.65 meters.
The actual length of her desk in meters is 0.65. She made an error when converting her desk length from centimetres to meters.
pleeeeeeeaaaaseee heeelp meeeee
The area A of a trapezoid is the height h times the average of the parallel bases a and b.
A = (1/2)(a + b)h
Solving for a,
2A = (a+b)h
2A/h = a+b
a = 2A/h - b
We have A=59.64, b=4, h=8.4
a = 2(59.64)/8.4 - 4
a = 10.2 yards
Answer: 10.2
Mark has invested $300 at age 16 into a money market account earning 6%. How many times will Mark’s investment double before age 52? What will his investment be worth? What would Mark’s investment be if he had invested at age 28?
Answer:
Rough guide: doubling time in years is 72/interest rate in per cent. 72/6 is 12 so it doubles every 12 years, so in 36 years it will double 3 times.
A=300(1+.06)^36 is the formula. Without rounding, A=$2444.18. That is doubling 3 times or increasing 8 fold (and a little more)
Step-by-step explanation:
Hope this helps. Stay healthy. No corona. Take Care
At the agre of 28 he had invested A=$2444.18.
The doubling time in years is 72/interest rate in per cent.
72/6 is 12 so it doubles every 12 years,
So, in 36 years it will double 3 times.
What is the formula for the investment?The formula of investment is
[tex]A=P(1+r)^{nt}[/tex]
[tex]A=300(1+.06)^{36}[/tex]
Without rounding, We get,
A=$2444.18.
That is doubling 3 times or increasing 8 fold.
Therefore at the age of 28 he had invested A=$2444.18.
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Quadrilateral CDEF is inscribed in circle A. Which statements complete the proof to show that ∠CFE and ∠CDE are supplementary?
Quadrilateral CDEF is inscribed in circle A.
Quadrilateral CDEF is inscribed in circle A, so m arc CDE+ m arc CFE= 360°. ∠CFE and ∠CDE are _________________, which means that their measures are one half the measure of their intercepted arcs. So, m arc CDE= 2 ⋅ m∠CFE and arc CFE= 2 ⋅ m∠CDE. Using the _________________, 2 ⋅ m∠CFE + 2 ⋅ m∠CDE = 360°. Using the division property of equality, divide both sides of the equation by 2, resulting in m∠CFE + m∠CDE = 180°. Therefore, ∠CFE and ∠CDE are supplementary.
inscribed angles; substitution property of equality
central angles; substitution property of equality
inscribed angles; addition property of equality
central angles; addition property of equality
Answer:
Inscribed angles, substitution property of equality
Step-by-step explanation:
We know it cant be Central angles because its a quadrilateral so that's 2 answers out. Then you have to substitute each value to end up with 2 ⋅ m∠CFE + 2 ⋅ m∠CDE = 360°, it doesnt make sense to add to both sides so the answer is Inscribed angles and substitution property of equality.
Plus i took the test and its right.
Angles to be proven as supplementary angles are known as inscribed
angles, and they are used as the substitute to known angles.
Response:
Inscribed angles; substitution property of equalityWhich method can be used to determine the correct option to complete the statement?The given information are;
Quadrilateral CDEF is inscribed in circle A
The completed statement is presented as follows;
Quadrilateral CDEF is inscribed in circle A, so [tex]m \widehat{CDE}[/tex] + [tex]m \widehat{CFE}[/tex] = 360°, ∠CFE and ∠CDE are inscribed angles, which means that their measures are [tex]\dfrac{1}{2}[/tex] the measures of the intercepted arcs. So [tex]m \widehat{CDE}[/tex] = 2·m∠CFE and [tex]m \widehat{CFE}[/tex] = 2·m∠CDE. Using the substitution property of equality, 2·m∠CFE + 2·m∠CDE = 360°. Using the division property of equality, divide both sides of the equation by 2, resulting in m∠CFE + m∠CDE = 180°. Therefore, ∠CFE and ∠CDE are supplementaryThe correct option is therefore;
inscribed angles; substitution property of equalityInscribed angles are angles formed by the intersection of two chords of
a circle.
The substitution property of equality states that variables that are
equal can be substituted by each other in any equation with both sides
of the the equation remaining equal.
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Find the area of this circle. Use 3.14 for piπ.
Answer:
A =452.16 ft^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2 where r is the radius
A = 3.14 (12)^2
A =452.16 ft^2
Answer:
452.16ft^2
Step-by-step explanation:
So to answer this You need to use the formula A=πR^2
Step one is Figuring out what the equation is so A= (3.14)12^2Now what is 12 squared? The answer is 144ftStep three Multiply 144 by 3.14 since that is for PI to get 452.16ft^2A scientist created a scatterplot to display the height of a plant over a 12-day period. Plant Height A graph has days on the x-axis and height (inches) on the y-axis. A trend line goes through points (5, 3) and (12, 7). Which is the equation of the trend line that is shown? y = StartFraction 1 Over 7 EndFraction x + StartFraction 4 Over 7 EndFraction y = StartFraction 1 Over 7 EndFraction x + StartFraction 16 Over 7 EndFraction y = StartFraction 4 Over 7 EndFraction x minus StartFraction 1 Over 7 EndFraction y = StartFraction 4 Over 7 EndFraction x + StartFraction 1 Over 7 EndFraction
Answer:
The correct option is (D) [tex]y=\frac{4}{7}\ x+\frac{1}{7}[/tex].
Step-by-step explanation:
The two-point form for the equation of straight line is:
[tex](y-y_{1})=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\ (x-x_{1})[/tex]
The two points provided are:
A = (5, 3)
B = (12, 7)
Compute the equation of the trend line as follows:
[tex](y-y_{1})=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\ (x-x_{1})\\\\(y-3)=\frac{7-3}{12-5}\ (x-5)\\\\(y-3)=\frac{4}{7}\ (x-5)\\\\y-3=\frac{4}{7}\ x-\frac{20}{7} \\\\y=\frac{4}{7}\ x-\frac{20}{7}+3\\\\y=\frac{4}{7}\ x+\frac{-20+21}{7}\\\\y=\frac{4}{7}\ x+\frac{1}{7}[/tex]
Thus, the equation of the trend line is [tex]y=\frac{4}{7}\ x+\frac{1}{7}[/tex].
The correct option is (D).
Answer:
D
Step-by-step explanation:
The formula to calculate the area of a circle from its circumference is:
A =c2/4π
Answer:
(if its a true or false question) True
Step-by-step explanation:
We know-
Area of a circle =
A=(π)r2
Circumference of a circle =
C=2(π)r
Where pi is a constant and r is the radius of the circle.
Using these two formulas we can express A in terms of C as follows:
c2=[2(π)r]2
⇒ c2=4[(π)2]r2 ⇒ c2=4(π)[(π)r2]
As (π)r2=A ⇒c2=4(π)A
Therefore:
A=c2/4(π)
Answer:
the answer is b
Step-by-step explanation:
....
Pleaaase help me out here im being timed!! Will mark brainliest
Really appreciate it if u did thank u.
I dont get how to do thiss!
Answer:
62.4
Step-by-step explanation:
Volume=L*w*h/3
V=5.2*4*9=187.2
187.2/3-62.4
Answer:
The volume of pyramid is
V = Base area x Height x 1/3
= (5.2 x 4) x 9 x 1/3 = 62.4 (cm3)
Hope this helps!
:)
The scores for the Algebra 2 CFE are normally distributed with a mean score of 43 and
a standard deviation of 3.8. If you scored 47 on the test, what percentage of test takers
scored lower than you? Do not round your answer. [percent]
Answer:
85.375%
Step-by-step explanation:
We would be using the z-score formula which is
z = (x-μ)/σ, where
x is the raw score,
μ is the population mean, and
σ is the population standard deviation.
In the question, we are given:
x is the raw score = 47
μ is the population mean = Mean score = 43
σ is the population standard deviation = 3.8
z = (x-μ)/σ
z = (47- 43)/ 3.8
z = 4/3.8
z = 1.0526315789
The z score = 1.0526315789
Checking my z score on my normal distribution table,
The percentage of test takers that scored lower than you =
[1 - P(x>Z)] × 100
= ( 1 - 0.14625) × 100
= 0.85375 × 100
= 85.375%
Therefore, the percentage of test takers that scored lower than you is 85.375%
factor the binomials using gcf 16p + 4
Bob the Wizard makes magical brooms. He charges 125 gold pieces for each magical broom he makes for his customers. He also charges a one-time fee of 50 gold pieces for his initial consultation. The total number G of gold pieces Bob charges is a function of x, the number of magical brooms he makes. Write the function's formula.
Answer:
y= 125x + 5o
Step-by-step explanation:
Since the constant is 125 we add the x to show each broom he makes. The one time fee is not a constant so therefore it will only be added once.
Answer:
f(x)=125g+50
Step-by-step explanation:
He is charging $125 for each gold piece so you would multiply “g” and 125.
You would add 50 as a one time fee so you add 50.
Calculate the value of sin X to four decimal places
Answer:
0.7241
Step-by-step explanation:
sin = [tex]\frac{opposite}{hypotenuse}[/tex]
In this case we have the hypotenuse (2.9) but not the opposite so here is how you calculate it
[tex]a^{2}+b^{2}= c^{2} \\\\2^{2}+ b^{2}= 2.9^{2} \\4+ b^{2} = 8.41\\\\\sqrt{b^{2} }= \sqrt{4.41} \\b= 2.1[/tex]
So now you have the opposite (2.1)
so now you would divide [tex]\frac{2.1}{2.9} or 0.7241[/tex]
Answer:
[tex] \sin X = 0.7241 [/tex]
Step-by-step explanation:
For angle X, 2.0 ft is the adjacent leg. 2.9 ft is the hypotenuse.
The trig ratio that relates the adjacent leg to the hypotenuse is the cosine.
[tex] \cos X = \dfrac{adj}{opp} [/tex]
[tex] \cos X = \dfrac{2.0}{2.9} [/tex]
[tex] \cos X = 0.689655 [/tex]
Since we now know the value of cos X, we can find the value of sin X by using the trig identity
[tex] \sin^2 X + \cos^2 X = 1 [/tex]
[tex] \sin^2 X + (0.689655)^2 = 1 [/tex]
[tex] \sin^2 X = 0.524376 [/tex]
[tex] \sin X = 0.7241 [/tex]
Consider the trinomial x2 - 9x + 18.
Which pair of numbers has a product of ac and a sum
of b?
Answer:
the answer is -6 and -3
Step-by-step explanation:
Answer:
-3 and -6.
Step-by-step explanation:
ac = 1 *18 = 18
b = -9
The 2 numbers required are -3 and -6.
Using laws of Sines. Find the measurement indicated. Round your answers to the nearest tenth.
Answer:
see below
Step-by-step explanation:
8.
We have to use the law of cosines to find AB
c^2 = a^2 + b^2 − 2ab cos(C)
AB^2 = 14^2 + 24^2 - 2 * 14 *24 cos(91)
AB^2 =196 +576 - 672 cos(91)
AB^2 =783.7280171
Taking the square root of each side
AB =27.99514
Rounding to the nearest tenth
AB = 28
(If the lengths are supposed to have the variable A)
AB = 28A
9.
Using the law of sines
sin 84 sin A
-------------- = -------------
22 9
Using cross products
9 sin 84 = 22 sin A
Divide each side by 22
9 sin 84 /22 = sin A
.406849866 = sin A
Taking the inverse sin of each side
24.00710132 = A
To the nearest tenth
A = 24
Answer:
AB = 28 ft; m<A = 24 deg
Step-by-step explanation:
8.
Since you are not given an angle and its opposite side, you cannot start with the law of sines. You must use the law of cosines.
[tex] c^2 = a^2 + b^2 - 2ab \cos C [/tex]
[tex] c^2 = (14~ft)^2 + (24~ft)^2 - 2(14~ft)(24~ft) \cos 91^\circ [/tex]
[tex] c^2 = 196~ft^2 + 576~ft^2 - 672~ft^2(-0.01745) [/tex]
[tex] c = \sqrt{783.73~ft^2} [/tex]
[tex] c = 27.995~ft [/tex]
AB = c = 28 ft
9.
[tex] \dfrac{\sin A}{a} = \dfrac{\sin B}{b} = \dfrac{\sin C}{c} [/tex]
[tex] \dfrac{\sin A}{a} = \dfrac{\sin B}{b} [/tex]
[tex] \dfrac{\sin A}{9~km} = \dfrac{\sin 84^\circ}{22~km} [/tex]
[tex] \sin A = \dfrac{9~km~\sin 84^\circ}{22~km} [/tex]
[tex] \sin A = 0.40685 [/tex]
[tex] A = \sin^{-1} 0.40685 [/tex]
[tex] A = 24^\circ [/tex]
Find the volume *
5 in
12 in
7 in
Answer:
420
Step-by-step explanation:
multiply them by each other
Answer:
420 square inches
Step-by-step explanation:
(5x12)x7=?
12x5=60
60x7=420
(5x12)x7=420
Hope this helped!
A scale drawing is shown for clubhouse. The measurements are 4“ x 8“ what will the actual clubhouse measurements be if the scale factor is 1 inch equals 2 feet
Answer:
8ft. x 16ft.
Step-by-step explanation:
If each inch is scaled to 2 ft, then you simply multiply the values by two. The new scaled dimensions would be 8 x 16 ft. Hope this helps.
What are our “cheat words” for finding slope?
Answer: y-intercept
Step-by-step explanation:
In a café, drinks are priced according to what size they are.
The table shows the different sizes and costs.
Size of drink
Cost
Extra Small
£1.00
Small
£1.50
Medium
£2.00
£2.50
Large
Extra Large
£3.00
a) Gavin pays for one extra small and three large drinks.
Altogether, how much did they cost?
b) Lian pays for one small, one medium and one extra large drink
She pays with a £10 note.
How much change should she get?
For his hiking club, Ricardo is making a container of trail mix with 3.5 kilograms of nuts. He has 1.78 kilograms of almonds. The rest of the nuts will be cashews. How many kilograms of cashews does he need? Use estimation to check your answer for reasonableness.
Answer: 1.72 kilograms
Step-by-step explanation:
From the question, Ricardo is making a container of trail mix with 3.5 kilograms of nuts and he has 1.78 kilograms of almonds while the remaining of the nuts will be cashews.
To get the kilograms of cashews nuts that are needed, we subtract the kilograms of almonds from the total container. This will be:
= 3.5 kg - 1.78 kg
= 1. 72 kg
-16 = 5 + 3x what is the constant and coefficient
Answer: help me with my questions
Step-by-step explanation:
Click on my profile answer my question and get branliest
Answer:
The constant is 5 and the coefficient is 3.
Step-by-step explanation:
The constant is something that does not change, which would be 5 because it stays 5 no matter what.
The coefficient is the number before the variable, which would be 3 because it changes depending on the x value.
I hope this helps! :)
How many mL are in a cubic centimeter?
1,000
10,000
100.000
none of the above
Answer:
none of the above
Step-by-step explanation:
One milliliter is equal to a cubic centimeter. I think from the options, it's self-explanatory.
Create an algebraic expression with at least 2 variables, 2 different operations and a constant.
Choose values for all your variables but you must include at least one fraction or decimal number.
Lastly, Evaluate your expression showing all steps.
Answer:
let's choose
5x+3x-7y+2x-16y+3+-5y
1) give values to our variables:
x=3
y=4
so
5(3)+3(3)-7(4)+2(3)-16(4)+3-5(4)
15+9-28+6-64+3-20
1) first take this step-by-step and solve each term from left-right
15+9=24
24-28=-4
-4+6=2
2-64=-62
-62+3=-59
-59-20=-79
-79 is the answer
A triangle has side lengths of 13, 9, and 5. Is this a right triangle?
Answer:
no
Step-by-step explanation:
a^2+b^2 = c^2
An economy package of cups has 750 green cups. If the green cups are 30% of the total package, how many cups are in the package?
Answer:
2500 cups
Step-by-step explanation:
Let c = total cups
c*30% = green cups
c*.30 = 750
Divide each side by .30
.30c/.30 = 750/.30
c =2500
One of the solutions of the system of equations shown in the graph has an x-value of -4. What is its corresponding integer y-value?
-1
-3
0
3
Answer:
The 1st intersection P(x, y) has x = -4 and y = -3 (as shown in graph).
Option B = -3 is correct.
Hope this helps!
:)
The y intercept value is option (B) -3
What is x intercept and y intercept?The x-intercept is where a line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis
Given
x intercept value = -4
From the graph we can say that y intercept value = -3
The y-intercept is the point where the line crosses the y-axis that is -3
Hence, the y intercept value is option (B) -3
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A stunt man wants to drive a car off a ramp at an angle of 35∘ from the ground. He already has a ramp with an angle of 15∘. He plans to add a second ramp on top to increase the angle to 35∘. What angle measure does the second ramp need to have?
The second ramp needs to have an angle of 20° from the ground to achieve the overall angle of 35° for the car to drive off smoothly and reach the desired height.
Here,
To find the angle measure the second ramp needs to have, we can use the concept of angles of elevation and depression.
When the car drives off the first ramp, it will be going at an angle of 15° from the ground, and the angle of elevation from the ground to the car will also be 15°.
This is because the angle of elevation is the angle between the horizontal line and the line of sight from the ground to an object above the ground.
Now, when the car reaches the top of the first ramp, it will be at the same level as the second ramp.
At this point, the car needs to continue its ascent with an additional angle of 20° (35° - 15°) to reach the desired angle of 35° from the ground.
So, the second ramp needs to have an angle of 20° from the ground to achieve the overall angle of 35° for the car to drive off smoothly and reach the desired height.
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There is a tall tree in ivas backyard. She thinks it might hit her house if it fell over. She measures that the base of the tree is 50 feet from her house. When Iva stands at the edge of her house, the angle of elevation from her feet to the top of the tree is 50°. Ivas house is safe if the tree’s height is less than the distance from the house.
The height of the tree is ____ 50 feet, so ivas house is ________
Answer:
The height of the tree is Greater than 50 feet, so Iva’s house is not safe
Step-by-step explanation:
Find the height of the tree
Let
h ----> the height of the tree
we know that
The tangent of angle of 50 degrees is equal to divide the opposite side to the angle of 50 degrees (height of the tree) by the adjacent side to the angle of 50 degrees (tree’s distance from the house)
so
tan(50°)=h/50
h=(50)tan(50°)=59.6 ft
therefore
The height of the tree is Greater than 50 feet, so Iva’s house is not safe
Zero is___ a divisor always sometimes never
Answer:
sometimes
Step-by-step explanation:
You can never divide a non-zero number, such as 3 or 7, by zero. However, you can divide zero by zero, so the answer is sometimes.
Hope this helped! :)
Answer:
sometimes
Step-by-step explanation:
Needs answered ASAP
What is the volume of the triangular prism below?
Answer:
172.5 inches cubed
Step-by-step explanation:
The given equation has been solved in the table.
Answer:
D. the subtraction property of equality was not applied.
Step-by-step explanation:
Step 1: Listed the statement
Step 2: applied the addition property of equality
Step 3: Simplified
Step 4: Applied the multiplication property of equality
Step 5: Simplified
~
Find the volume of the prism.
36 m
3 m
5 m
Answer:=40m
Step-by-step explanation: 36m+3m+5m
Answer:
540m
Step-by-step explanation:
