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MaRussiya [10]
2 years ago
10

4. Find the measures of the acute angles of a right triangle whose legs are 9 cm and 16 cm long.

Mathematics
1 answer:
Snezhnost [94]2 years ago
8 0

Answer:

Apply tan x=9/16 and tan y=16/9 to get the two angles x and y, and you'll receive the solution.

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Great Falls is at approximately 47.5 degrees N, and 111.3 degrees W. Lemhi is approximately 45.5 degrees N, and 113.5 degrees W.
natka813 [3]

Answer:

The angle between Great Falls and Lemhi is approximately 3.02°

Step-by-step explanation:

The location parameters are;

The Great Falls location = 47.5° N, 111.3° W

The location of Lemhi = 45.5 °N and 113.5 °W

Therefore, we have;

The angle between the Great Falls and the poles, AP = 90° - 47.5° = 42.5°

The angle between Lemhi and the poles, PB = 90° - 45.5° = 44.5°

The angle between the lines of longitude, P = 113.5° - 113° = 0.5°

By the law of cosines for Sides of a spherical triangle, we have;

CosAB = cos AP·cosPB + sinAP·sinPB·cosP

Where;

AB = The angle between Great Falls and Lemhi

∴ CosAB = cos(47.5°) × cos(44.5°) + sin(47.5°) × sin(44.5°) × cos(0.5°) ≈ 0.9986

AB ≈ arccos(0.9986) ≈ 3.02°

The angle between Great Falls and Lemhi ≈ 3.02°

5 0
3 years ago
Nethan made eight rose bouquets and six daffodil bouquets. Nethan only has enough flowers to make at most 20 rose or daffodil bo
Igoryamba
I<span> found the graph choices: </span>

<span>Given:</span>
8 rose bouquets
6 daffodil bouquets
total of 14 bouquets

enough flowers left to make maximum of 20 bouquets. 

x = additional rose bouquets
y = additional daffodil bouquets

20 maximum bouquets - 14 made bouquets = 6 additional bouquets

x + y = 6

y = 6 - x
x = 6 - y

If x = 0 then y = 6 
If x = 6 then y = 0
If x = 4 then y = 2
If x = 2 then y = 4

Pls. see attachment for the correct graph.

4 0
3 years ago
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Answer:

2.5 hours

Step-by-step explanation:

it takes him 2.5 hours

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3 years ago
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If x = -2 is a solution to the equation f(x) = g (x) which of these statements must be true
Step2247 [10]

Answer: The answer is A

Step-by-step explanation:

7 0
3 years ago
The number of newly reported crime cases in a county in New York State is shown in
Sindrei [870]

Answer is answer

Step-by-step explanation:The number of newly reported crime cases in a county in New York State is shown in

the accompanying table, where x represents the number of years since 2007, and y

represents number of new cases. Write the linear regression equation that represents

this set of data, rounding all coefficients to the nearest hundredth. Using this

equation, find the projected number of new cases for 2016, rounded to the nearest

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1156

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1167

2

1230

3

1215

4

1277

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1298

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