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Gnoma [55]
3 years ago
14

7. Find the measure of the angle of elevation of the sun when a boy 5 feet tall cast's a shadow

Mathematics
1 answer:
Alecsey [184]3 years ago
8 0

Answer:

45\degree

Step-by-step explanation:

We use trigonometry to find the angle of elevation.

From the diagram, the angle of elevation of the sun is \angle A

Recall the mnemonics SOH CAH TOA.

\tan A=\frac{Opposite}{Adjacent}

\tan A=\frac{5}{5}

\tan A=1

A=\tan^-1{1}=45\degree

Therefore the angle of elevation of the sun is 45\degree

See attachment

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Answer: 592

Step-by-step explanation:

I did the test and i got it right :)

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3 years ago
Write an equation for the line parallel to the line 5/8x−7/6y =2 through the point (7,−1).
LiRa [457]

y =  -  \frac{28}{48x - 15} -  \frac{125}{321}is the answer.

Step-by-step explanation:

For this question,

•<u> </u><u>First</u>, find the slope of the line parallel to the line 5/8x−7/6y=2 :-

m =  - \frac{28}{ - 15 + 48x}

•<u>Second</u>, find the equation of the line,

y =  -  \frac{28}{48x - 15} -  \frac{125}{321}

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2 years ago
I need help on number 8​
Marta_Voda [28]

Answer:

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Step-by-step explanation:

3 0
3 years ago
You’ve been asked to order cake for your school dance. Here’s a formula for the scenario: z=xa/y
olga nikolaevna [1]

Answer:

The number of cake for order is 15 cakes .

Step-by-step explanation:

Given as :

Total number of people to attend the dance = x = 60

The number of slices each person will eat = A = 2 slices

The number of slices per cake = y = 8 slices

Let The number of cake for order = z

<u>Now, According to question</u>

Total slices of cake required for 60 people when each people eat 2 slices = total number of people × number of slices each person will eat

i.e Total slices of cake required for 60 people when each people eat 2 slices = x × A

Or, Total slices of cake required for 60 people when each people eat 2 slices = 60 × 2 slices

Or,Total slices of cake required for 60 people when each people eat 2 slices = 120 slices

<u>Again</u>

∵ number of slices per cake = 8

∴ The number of cake for order = \dfrac{\textrm Total slices of cake required for 60 people when each people eat 2 slices}{\textrm number of slices per cake }

Or, z = \frac{x\times A}{y}

i.e z = \frac{120}{8}

∴   z = 15 cakes

So,The number of cake for order = z = 15 cakes

Hence,The number of cake for order is 15 cakes . Answer

7 0
3 years ago
For the diagram at right, write and solve an equation to find x
Tomtit [17]

Answer:

x = 24

Step-by-step explanation:

The formula for determining the sum of interior angles is:

(n-2) * 180

4 * 180 = 720

Therefore to determine an equation for x, we must add up all the interior angle equations and set them equal to 720.

(2x+3) +(3x+12) + (7x+14) + (9x+2) + (4x+8) + (3x+9) = 720\\28x + 48 = 720\\28x = 672\\x = 24

The equation and answer above shows how to find x, which equals 24.

3 0
2 years ago
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