Find the surface area and volume of the prism.

Answer:

w=12 ft

l= 20 ft

A.

P= 2(12+20)= 64 ft

A= 12*20= 240 ft²

B.

P=2(12*1.2+20*1.2)= 76.8 ft

A= 12*1.2*20*1.2= 345.6 ft²

C.

(76.8-64)/64*100%= 20%

(345.6- 240)/240*100%= 44%

D.

perimeter increase is linear function of one dimension increase

area increase is function of 2 dimensions increase

Answer:

Around 13.7

Step-by-step explanation:

The cosine of an angle in a right triangle is equivalent to the length of the adjacent side divided by the length of the hypotenuse. In this case, this means:

[tex]\cos 70= \dfrac{x}{40} \\\\x=40\cdot \cos 70\approx 13.7[/tex]

Hope this helps!

Answer:

[tex]\£8:\£32[/tex]

Step-by-step explanation:

[tex]\frac{40}{1+4}[/tex]

[tex]\frac{40}{5}[/tex]

[tex]=8[/tex]

[tex]1:4[/tex]

[tex]1 \times 8:4 \times 8[/tex]

[tex]8:32[/tex]

Answer:

Tim gets £8

Sam gets £32

Step-by-step explanation:

Ratio is 1:4

So, Total parts are 1+4 = 5

Dividing it by total parts

= [tex]\frac{40}{5}[/tex]

= £ 8

So, Tim gets £8

But,

Sam gets 4(£8)

= Sam gets £32

Answer:

Step-by-step explanation:

Answer:

You didn't insert the/a file

Step-by-step explanation:

Answer:

The x-intercept indicates that he has 29 ten dollar bills

and no five dollar bills. The y-intercept indicates that he has 58 five

dollar bills and no ten dollar bills.

Step-by-step explanation:

Answer:

A.

Step-by-step explanation:

[tex]answer \\ = 12 \\ please \: see \: the \: attached \: picture \\ hope \: it \: helps[/tex]

Answer: The acute angle between diagonals is 50

Step-by-step explanation:

Red angle = 50 because An exterior angle of a triangle is equal to the sum of the opposite interior angles (pink angles).

Alternatively:

Green angle is 130 by sum of interior angles of a triangle.

Red angle is 50 by Adjacent angles

Answer: 287

Step-by-step explanation:

8, 17, 26

So we know that the sequence pattern is + 9 for every term and the first 3 terms are given.

That means we need 29 more terms to get to the 32nd term.

29 * 9 = 261

261 + 26 = 287

287 is 29 terms past 26, which is the 3rd term.

Answer:

0.00783874

Step-by-step explanation:

7/893= 0.00783874

I just put it in the calculator  

Answer:

the answer is A because the pair of ratios are equivalent.

Answer:12ft

Step-by-step explanation:

As per linear equation, the resulting width of the satellite dish is 12 feet.

A linear equation is an equation that may contain one or multiple variable with the highest power of the variable is 1.

The width of the satellite dish extended along with the x-axis from (- 6, 0) to (6, 0).

Therefore, the width of the satellite dish is

= (6 + 6) feet

= 12 feet

Therefore, the width is 12 feet.

Learn more about a linear equation here: https://brainly.com/question/16908943

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Answer:

C

Step-by-step explanation:

The function [tex]f(x) = \frac{5}{4} (\frac{4}{5}) ^{x}[/tex] represents the stretch of an exponential decay function.

The process of reducing an amount by a consistent percentage rate over a period of time. It can be expressed by the formula [tex]y = a(1-b)^{x}[/tex]

where,

y is the final amount,

a is the original amount,

(1 -b) is the decay factor,

and x is the amount of time that has passed.

For a  exponential decay function (1-b) is always less than 1. If (1-b) < 1 it represents the exponential growth function.

And if a < 1, then it represents vertical compression and if a > 1, then it represents vertical stretch.

According to given question.

We have some functions in which we have to find the which one represents the decay function.

According to the function

[tex]f(x) = \frac{4}{5}(\frac{5}{4} )^{x} }[/tex]

For the decay function, the decay factor will always less than 1. In the above function the decay factor [tex]\frac{5}{4}[/tex] i.e. 1.25 is greater than 1.

Therefore, the above function doesn't represent decay function.

[tex]f(x) = \frac{4}{5}( \frac{4}{5} )^{x}[/tex]

Here, a < 1 i.e.  [tex]\frac{4}{5}[/tex] is less than 1 so the given function is not a stretch of an exponential decay function.

[tex]f(x) = \frac{5}{4} (\frac{4}{5}) ^{x}[/tex]

Here, b < 1 so it represents the exponential decay function. Also a > 1.

Therefore, the given function is the stretch of an exponential decay function.

[tex]f(x) = \frac{5}{4} (\frac{5}{4}) ^{x}[/tex]

Here, a > 1 but b > 1. Therefore, the above function doesn't represent the exponential decay function. It represents the exponential growth function.

Find out more information about exponential decay function here:

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Call x the number of burgers in a Crave Case.

Mr. Thomas has 5x+5 burgers

Mr. Garcia has 3x + 15 burgers

We're told they're equal,

5x + 5 = 3x + 15

That's the answer to the first part:   5x + 5 = 3x + 15

2x = 10

x = 5

Answer: 5 burgers per Crave Case

Answer:

eegdujbslspm

Step-by-step explanation:

siuodby s9isbnp' udjauoeawkjshdguibdewnduewhsuidknfuk yeosjuwdi nldijs aidbskbodbshbbdpoopne f

Answer:

  A

Step-by-step explanation:

Rotating ABC 90° will make segment AB parallel to segment DE, facilitating comparison of sides and angles. The triangles are marked with two angles and the side between them, so the appropriate theorem to use is the ASA theorem. (That theorem refers to a side (S) between two angles (A..A).)

She can use what she knows about rotations and triangle congruence to prove that triangle congruence as per option A.

Two triangles are said to be congruent if their corresponding sides and angles are equal.

As per the given figure, we have triangles in which two angles and one side are equal.

∠A = ∠E = 65° (angle)

BA = ED (side)

∠A = ∠E = 30° (angle)

By rotating ABC 90°, section AB becomes parallel to segment DE, allowing for easier comparison of sides and angles. Because the triangles are defined by two angles and the side between them, the ASA theorem is relevant. (This theorem is about a side (S) between two angles (AA).)

Thus, the correct answer is option A.

Learn more about congruent triangles here:

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Answer:

£1.31

Step-by-step explanation:

5:7:12

small : medim : large = 45 : 63 : 108

Answer:

£1.31

Step-by-step explanation:

The cakes are sold in the ratio 5 : 7 : 12 = 5x : 7x : 12x ( x is a multiplier )

sum the parts of the ratio, 5x + 7x + 12x = 24x

Equate 24x to the number of cakes sold, that is

24x = 216 ( divide both sides by 24 )

x = 9

Thus cakes sold are

5x = 5 × 9 = 45 small cakes

7x = 7 × 9 = 63 medium cakes

12x = 12 × 9 = 108 large cakes

let p represent the profit on a small cake, then

45p + 63(2p) + 108(3p) = 648.45 , that is

45p + 126p + 324p = 648.45

495p = 648.45 ( divide both sides by 495 )

p = 1.31

That is the profit on one small cake is £1.31

Answer:

103.5 m²

Step-by-step explanation:

To find the area of a right trapezoid, you can decompose it into a rectangle and a triangle. The sum of the area of  the rectangle and the triangle gives the area of the trapezoid.

For the right trapezoid attached below, the area can be gotten by:

Area of rectangle = length × breadth = 9 × 8 = 72 m²

Area of triangle = 1/2(base × height) = 0.5 × 7 × 9 = 31.5 m²

Area of trapezoid = Area of rectangle + Area of triangle = 72 m² + 31.5 m² = 103.5 m²

Answer:

7x

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

look at the other answer as the person is taking a very long time to write it

Answer: radius = 14.01 m

Step-by-step explanation:

Circumference = 2πr

88 = 2πr

r = 88/2π = 14.01m

Answer:

The greatest common factor is 5.

15x+10=5(3x+2)

I would use a graphing tool like desmos or geogebra, or a texas instruments graphing calculator, there a number of tools out there. The first two options are free online tools. Using technology to graph is much preferred over doing it by hand.

If you must do it by hand, then the idea is to plug in various values of x to get corresponding values of y. For instance, if x = 7, then

y = sqrt(x-3)

y = sqrt(7-3)

y = sqrt(4)

y = 2

So the point (x,y) = (7,2) is on this curve. Repeat for other x values to get more points. Then plot the points all on the same xy grid. Lastly, draw a curve through those points. The more points you have, the more accurate the graph. Use graphing technology to help confirm you have the right graph.

As for the question of one-to-one, you are looking to see if the horizontal line test fails or not. After fully graphing y = sqrt(x-3), try to construct a single horizontal line that will pass through more than one point on the curve. You'll find that such a task is not possible in this case; therefore, this graph passes the horizontal line test and consequently the graph is one-to-one.

An example where a graph is not one-to-one would be a parabola. It is possible to pass a single horizontal line through more than one point on a parabola.

Answer:

1. 5

2. -3

3. -4

4.  0

Step-by-step explanation:

Substitute the value of x in the equation with each of the x's given in the table.

Example:

When x = -1

y = -1^2 - 4 x -1 = 1 - 4 = -3

When x = 4

y = 4^2 - 4 x 4 = 16 - 16 = 0

Please add brainiest

Answer:

-24

Step-by-step explanation:

f(x) = 3x^3 -12x^2

f(2) = 3 * (2)^3 - 12 (2)^2

      = 3 (8) - 12 (4)

      = 24 - 48

      = -24

Answer:

D. f(2)= -24

Step-by-step explanation:

To solve this problem, we want to find what f(x), or y is, when x is equal to 2.

f(x)=3x³-12x²

Therefore, we can substitute 2 in for every x.

x=2

f(2)=3(2³)-12(2²)

Evaluate the exponents first.

2³ is equal to 2*2*2, which equals 8.

2² is equal to 2*2, which equals 4.

f(2)=3(8)-12(4)

Multiply 3 and 8.

f(2)=24-12(4)

Multipy 12 and 4

f(2)=24-48

Subtract 48 from 24.

f(2)=-24

Therefore, the correct answer is D. f(2)= -24

Answer:

290

Step-by-step explanation:

The reason this is the answer is because if you divide 100% by 20% it will give you 5% so then you have to multiply 58 times 20 which will give you 290.

Answer:

290

Step-by-step explanation:

Answer:

it is longer than 1/3

Step-by-step explanation:

Answer:

63 units

Step-by-step explanation:

If the perimeter of 1/3 of the rectangle is 21, multiply 21 by 3 to find the perimeter of the entire rectangle.

21 x 3 = 63

Answer:

a=24.65 sq.m

Step-by-step explanation:

A=[tex]a^{2} or l^{2}[/tex]

608=[tex]a^{2}[/tex]

[tex]a=\sqrt{608}[/tex]

[tex]a=24.65[/tex]

To check your answer

[tex]A=a^{2} \\A=24.65^{2}\\A=24.65*24.65\\A=607.6225=608[/tex]

Answer:

[tex]\sqrt{85}[/tex]

Step-by-step explanation:

Using the distance formula:

[tex]x=\sqrt{(5-(-2))^2+(3-(-3))^2}=\sqrt{7^2+6^2}=\sqrt{49+36}=\sqrt{85}[/tex]

Hope this helps!

Answer:

V = lwh

/lw   /lw

First isolate the variable by seperating lw from the side that h is on. You do this by dividing both sides by lw. This will result in h being volume over lenght and width.