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Levart [38]
2 years ago
12

HELPPP PLS show work

Mathematics
1 answer:
hram777 [196]2 years ago
4 0
So in this question, we’re gonna use the sine trigonometric ratio, which equals opposite/hypotenuse.

sin32° = x (the opposite angle)/ 10 (the hypotenuse)

Then rearrange the equation to solve for x:
(10)(sin32°) = x

[Solve for sine using a calculator!]

(10)(0.529919264) = x

[Multiply]

5.299192642 = x

[Round to the nearest tenth]

x ≈ 5.3


I hope this helped!
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2*10^6 + 6*10^5 + 3*10^3 +9*10^1 +4*10^0

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In a small town in the Himalayas, the average snowfall each month is 6 inches. July is the month with the lowest average snowfal
OLga [1]

The function that models the above behavior is given as:

f(x) = ACos(B(x + C)) + 6 ..... .......i

where x = 1 (that is January)

D (Average Snowfall) = 6.

Hence, the amplitude (A) is given as:
A = 6-1

= 5

<h3>What is a mathematical function?</h3>

A mathematical function is a function comprising of different variables that    represent different factors or events and the relationships between them.

<h3>
During what period is there more than 10 inches of snowfall?</h3><h3 />

Recall that in a year we have 12 months. Hence, P = 12

→ P = (2π) /.B → (2π)/B = 12 → B = π/6

Taking the values of A and B and plugging them in, we ahve:

F(x) = 5 cos (π/6(x + C)) + 6................ii

This means that in July, we'll have

x = 7 and f(x) = 1

Therefore,

1 = 5cos ((π/6) (7 + C) + 6 → 5 Cos  ((π/6) (7 + C) →  -5cos ((π/6) (7 + C)

= -1

→   ((π/6) (7 + C) = π

→ 7 + C = 6

→ C = -1

Taking equation ii, we have

F(x) = 5cos ((π6) (x -1)) + 6

F (x) > 10

Therefore

5cos ((π/6) (x-1) + 6 > 10

→  cos ((π/6) (x-1) + 6 > 4/5

→  (π/6) (x-1)  > Cos⁻¹ (4/5)

(π/6) (x-1)  < 0.6435 and

(π/6) (x-1)  > 5.6397

→ x < 2.23 and x > 11.77

The interpretation is that upwards of ten inches of snow fall in January, February, November, and December.

Learn more about functions at;
brainly.com/question/25638609
#SPJ1

3 0
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Vicky is a cook at a diner. Before the diner opened, she used 12 eggs to make a large frittata that will be sold by the slice. S
DanielleElmas [232]
3x+12=39
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he temperature at noon on a winter day was 2 °F. By 6 p.m., the temperature had dropped to −9 °F. Write a subtraction expression
nydimaria [60]

Based on the starting temperature and the new temperature, the relevant expression would be<u> 2 - (-9) </u>

To find the number of degrees the temperature has changed by, use the following equation:

<em>= Starting temperature - Current temperature </em>

Starting temperature = 2°F

Current temperature = -9°F

The equation becomes:

<em>= 2 - (-9)</em>

In conclusion, the expression would be 2 - (-9)

<em>Find out more on </em><em>expressions </em><em>at brainly.com/question/945593. </em>

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