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3 years ago

Answer plzzz. Tell the truth and answer correctly

Mathematics

1 answer:

Free_Kalibri [48]3 years ago

3 0

Answer:

54 feet

Step-by-step explanation:

We can use proportions

1 inch 27 inches

--------- = ------------

2 feet x feet

Using cross products

1x = 54

The building is 54 feet

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Referring to the figure, find the value of x

mestny [16]

Answer:

x = 18

Step-by-step explanation:

All triangle angles add up to 180 so:

x + 5x + 72 = 180

6x + 72 = 180

6x = 180 - 72

6x = 108

x = 18

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3 years ago

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A street light is at the top of a 25 ft pole. A 4 ft tall girl walks along a straight path away from the pole with a speed of 6

Burka [1]

Answer:

Tip of the shadow of the girl is moving with a rate of 7.14 feet per sec.

Step-by-step explanation:

Given : In the figure attached, Length of girl EC = 4 ft

Length of street light AB = 25 ft

Girl is moving away from the light with a speed = 6 ft per sec.

To Find : Rate ( $\frac{dw}{dt}$ ) of the tip (D) of the girl's shadow (BD) moving away from th

light.

Solution : Let the distance of the girl from the street light is = x feet

Length of the shadow CD is = y feet

Therefore, $\frac{dx}{dt}=6$ feet per sec. [Given]

In the figure attached, ΔAFE and ΔADE are similar.

By the property of similar triangles,

$\frac{x}{21}=\frac{x+y}{25}$

25x = 21(x + y)

25x = 21x + 21y

25x - 21x = 21y

4x = 21y

y = $\frac{4x}{21}$

Now we take the derivative on both the sides,

$\frac{dy}{dt}=\frac{4}{21}\times \frac{dx}{dt}$

= $\frac{4}{21}\times 6$

= $\frac{8}{7}$

≈ 1.14 ft per sec.

Since w = x + y

Therefore, $\frac{dw}{dt}= \frac{dx}{dt}+\frac{dy}{dt}$

$\frac{dw}{dt}=6+1.14$

= 7.14 ft per sec.

Therefore, tip of the shadow of the girl is moving with a rate of 7.14 feet per sec.

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3 years ago

A square has a perimeter of 28 feet what is its area

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Given:
square shape
Perimeter 28 feet
Find its area

A square has 4 equal sides, so perimeter is 4a

Perimeter = 4a
28 ft = 4 a
28 ft / 4 = a
7 = a

One side of the the square is 7 ft.

Area of a square is the measure of one side raised to the power of 2.

A = a²
A = (7 ft)²
A = 49 ft²

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The same line! hope this helps! i’m not 100% sure so if i’m wrong don’t flame me

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