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Y_Kistochka [10]

2 years ago

9

A 35 ft ladder reaches a window that is 25 feet high. What is the angle of elevation the ladder forms with the ground? A. 44.4 C

. 35 B 54.5 D. 45.6

1 answer:

VMariaS [17]2 years ago

8 0

Answer:

D

Step-by-step explanation:

Sin(x)=25/35=5/7

=> x = 45.6

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Is this multiplication? Can you also help me with the answer!?

vredina [299]

Answer:

84,375 m^2

Step-by-step explanation:

We need to find the surface area of the pyramid. The pyramid can be divided into 4 triangles and one square (the bottom).

Area of a triangle is 1/2*b*h where b is the base of the triangle and h is the height.

Area of a square is length times width.

Total area = $4\times(\frac{1}{2}\times 225 \times 75)+225\times225 = 84375 m^2$

3 0

3 years ago

A clothing manufacturer uses the model a=f+4−−−−√−36−f−−−−−√ to estimate the amount of fabric to order from a mill. In the formu

Anit [1.1K]

Questions:

A clothing manufacturer uses the model a = √(f + 4) - √(36 - f) to estimate the amount of fabric to order from a mill. In the formula, a is the number of apparel items (in hundreds) and f is the number of units of fabric needed. If 400 apparel items will be manufactured , how many units of fabric should be ordered?

Answer:

32 units of fabrics

Step-by-step explanation:

Given

$a = \sqrt{f + 4} - \sqrt{36 - f}$

Required

Find f when a = 4

Substitute 4 for a

$4 = \sqrt{f + 4} - \sqrt{36 - f}$

Rewrite as:

$\sqrt{36 - f} + 4 = \sqrt{f + 4}$

Square both sides

$(\sqrt{36 - f} + 4)^2 = (\sqrt{f + 4})^2$

$(\sqrt{36 - f} + 4)^2 = f + 4$

$36 - f + 8\sqrt{36 - f} + 16 = f + 4$

Collect Like Terms

$8\sqrt{36 - f}= f +f+ 4 - 36 -16$

$8\sqrt{36 - f}= 2f -48$

Divide through by 2

$4\sqrt{36 - f}= f -24$

Square both sides

$16(36-f) = (f - 24)^2$

$16(36-f) = f^2 - 48f + 576$

$576-16f = f^2 - 48f + 576$

$-16f = f^2 - 48f$

Collect like terms

$f^2 - 48f + 16f = 0$

$f^2 -32f = 0$

Factorize

$f(f - 32) = 0$

$f = 0$ or $f = 32$

f can not be 0 because some units must be ordered.

So, f = 32

6 0

3 years ago

Is D the right answer for this? Thank you! - Alyssa

vesna_86 [32]

We start by ordering the values.

5, 7, 8, 10, 13, 14, 17, 17, 21

Now we find the median(middle number).

Median(b): 13
(I added (b) for "base" since we need to take more medians)
The median now divides this data into two halves.

Now we take the medians of the two remaining halves.

Median(Half1): 7.5
Median(Half2): 17

Mark off the minimum and maximum.

Min: 5
Max: 21

Now graph!

Your median(Half1) is incorrect, since your median for the first half is 9. Since our median for the first half is 7.5, the answer would be Answer Choice C.

8 0

3 years ago

Work out $216 as a percentage of $600

dusya [7]

Answer:

36%

Step-by-step explanation:

Put it into a fraction:

216/600

Next divide:

216/600= 0.36

Turn the decimal into a percentage:

0.36 = 36%

216 as a percentage of 600 is equal to 36%.

3 0

3 years ago

Read 2 more answers

You are using extension ladders to paint a chimney that is 33 feet tall. The length of an extension ladder ranges in 1 foot inte

Alexus [3.1K]

Answer:

The ladder has to be 65 feet long to the nearest foot.

Step-by-step explanation:

The height of the chimney from the ground is the sum of the height of the wall and the height of the chimney.

Therefore, the height of the chimney from the ground = (30 + 33) = 63 feet.

Now, the ladder makes a right triangle with the ground and the chimney and the ladder makes an angle of 75.5° with the ground.

Therefore, using trigonometry we can write,

$\sin 75.5 ^{\circ} = \frac{\textrm {The height of the chimney from the ground}}{\textrm {Length of the ladder}} = \frac{63}{\textrm {Length of the ladder}}$

⇒ The length of the ladder = 65 feet.

Hence, the ladder has to be 65 feet long to the nearest foot. (Answer)

5 0

3 years ago