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3 years ago

Jacob designs a building with a square base. He starts by building a model for the building, which has a base with an

Mathematics

1 answer:

Art [367]3 years ago

8 0

Answer:

Step-by-step explanation:

base of model is 6 ft by 6 ft

base of building is 78 ft by 78 ft

scale factor = 78÷6 = 13

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Solve for x: 4 over x equals 5 over 10 8 9 20 40

Sati [7]

$\frac{4}{x} =\frac{5}{10}$ [4 over x equals 5 over 10]

Solve for x, so you need to isolate/get x by itself in the equation.

$\frac{4}{x} =\frac{5}{10}$ Multiply x on both sides

$(x)\frac{4}{x}=\frac{5}{10} (x)$

$4=\frac{5}{10} x$ Multiply the inverse of 5/10, which is 10/5, to get rid of the fraction and get x by itself

$(\frac{10}{5} )4=(\frac{10}{5} )\frac{5}{10} x$

$\frac{40}{5} =x$

8 = x

4 0

3 years ago

(1+cos2x)/(1-cos2x) = cot^2x

sesenic [268]

We will turn the left side into the right side.

$\dfrac{1 + \cos 2x}{1 - \cos2x} = \cot^2 x$

Use the identity:

$\cos 2x = \cos^2 x - \sin^2 x$

$\dfrac{1 + \cos^2 x - \sin^2 x}{1 - ( \cos^2 x - \sin^2 x)} = \cot^2 x$

$\dfrac{1 - \sin^2 x + \cos^2 x }{1 - \cos^2 x + \sin^2 x} = \cot^2 x$

Now use the identity

$\sin^2 x + \cos^2 x = 1$ solved for sin^2 x and for cos^2 x.

$\dfrac{\cos^2 x + \cos^2 x }{\sin^2 x + \sin^2 x} = \cot^2 x$

$\dfrac{2\cos^2 x}{2\sin^2 x} = \cot^2 x$

$\dfrac{\cos^2 x}{\sin^2 x} = \cot^2 x$

$\cot^2 x = \cot^2 x$

8 0

3 years ago

How do u do #5 please help????

NISA [10]

Part A
1 hour would be $14.95+$12.95 (entrance fee)= $27.90

2 hours 14.95(2)+12.95=$42.85

3 hours 14.95(3)+12.95=$57.80

4 hours 14.95(4)+12.95=$72.75

Part B
No, because the totally price also includes the price of the entrance fee. In order to find the number of hours spent horseback riding you will first need to subtract the entrance fee then divide by the price per hour.

4 0

3 years ago

For a sample of similar sized all-electric homes, the march electric bills were (to the nearest dollar): $212, $191, $176, $129,

mihalych1998 [28]

Answer: The range of the given data is $120.

Step-by-step explanation:

For a set of observations, we know that the range of the set is given by:-

$\text{Range}=\text{Largest observation - Smallest observation}$

In the given data , the largest data value= $212

The smallest value= $92

Therefore, the range of the given observations is given by:-

$\text{Range}=\$212-\$92=\$120$

Hence, the range of the given data is $120.

5 0

3 years ago

If you work for an hourly wage, your gross pay is a function of the number of hours that you work. If you earn $8 per hour, comp

Sonja [21]

Answer:

The answer is D

Step-by-step explanation:

You multiply the number of hours by 8 to calculate gross pay. Then you form coordinates. In this problem for example (0,0); (3,24); and so on.

Hope this helps!

8 0

4 years ago