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3 years ago

Your monthly bill went frm 57.98 to 62.49 whats the percent change

Mathematics

1 answer:

nekit [7.7K]3 years ago

6 0

D is your answer for your question

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Which of the following statements are true of a transversal?

Novosadov [1.4K]

It's a line, it intersects two or more coplanar lines.

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3 years ago

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Miss Conrads art class was painting murals she had four bottles of red paint five bottles of green paint for bottles of yellow p

Ksenya-84 [330]

Answer:

she had lots of paint

Step-by-step explanation:

ur welcome boo

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3 years ago

A plane flying horizontally at an altitude of 1 mile and a speed of 510 mi/h passes directly over a radar station. Find the rate

sdas [7]

Answer:

442 miles

Step-by-step explanation:

Given

To properly solve this question, I illustrate some given parameters using attached image

From the image, apply Pythagoras theorem

$x^2 + 1^2 = y^2$

Differentiate w.r.t time (t)

$2x\frac{dx}{dt} + 0 = 2y\frac{dy}{dt}$

$2x\frac{dx}{dt} = 2y\frac{dy}{dt}$

Divide both sides by 2

$x\frac{dx}{dt} = y\frac{dy}{dt}$

From the question, we have that the plan travels are 510mi/h.

This implies that:

$\frac{dx}{dt} = 510mi/h$

So, we then calculate the value of x when the distance (y) is 2mi i.e.:

$y = 2mi$

Apply Pythagoras theorem

$x^2 + 1^2 = y^2$

$x^2 + 1^2 = 2^2$

$x^2 + 1 = 4$

$x^2 = 4-1$

$x^2 = 3$

$x = \sqrt 3$

So, the expression becomes:

$x\frac{dx}{dt} = y\frac{dy}{dt}$

$\sqrt 3 * 510 = 2* \frac{dy}{dt}$

$\frac{\sqrt 3 * 510}{2} = \frac{dy}{dt}$

$\sqrt 3 * 255 = \frac{dy}{dt}$

$\frac{dy}{dt} = 255\sqrt 3$

$\frac{dy}{dt} = 255 * 1.7321$

$\frac{dy}{dt} = 441.655$

$\frac{dy}{dt} = 442$

<em>Hence, the distance is 442 miles</em>

7 0

3 years ago

Viola has a part time job in which she is paid an hourly basis for every hour up through 40 hours. For each hour after 40 hours,

blondinia [14]

Answer:

15.5

Step-by-step explanation:

for every hour we can say that the wage is x

hence we can create an equation:

40x + 160%*x = 644.80

now solve for x

40x + 1.6x = 644.8

41.6x = 644.8

x = 15.5

hourly wage is 15.5

3 0

3 years ago

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Write an informal proof to show triangles ABC and DEF are similar. Please don’t answer if you don’t know!!

Mila [183]

Answer:

ΔABC ~ ΔDEF

Step-by-step explanation:

If the given triangles ΔABC and ΔDEF are similar,

Their corresponding sides will be proportional.

$\frac{\text{AB}}{\text{DE}}=\frac{\text{BC}}{\text{EF}}=\frac{\text{AC}}{\text{DF}}$

By substituting the measures of the given sides,

$\frac{4}{2}=\frac{6}{3}=\frac{2}{1}$

2 = 2 = 2

Since, corresponding sides of both the triangles are proportional, both the triangles will be similar.

ΔABC ~ ΔDEF

8 0

3 years ago