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3 years ago

10.) Kelly is flying a kite to which the angle of elevation is

Mathematics

1 answer:

jarptica [38.1K]3 years ago

3 0

Answer:

61.08m

Step-by-step explanation:

Let " l " be the length of the rope and " θ " the angle at which it is raised. In other words:

l = 65m
θ = 70°

As you can see, there has been made a right angle triangle. So:

$sin70 = \frac{h}{l} \\ h = l \times sin70 \\ h = 65 \times 0.9397 = 61.08 \\ h = 61.08$

So the kite is approximately 61.08m above the ground.

In order to find the sin70° i used a calculator.

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0.4 repeating as a fraction for a mixed number

VashaNatasha [74]

Answer:

Step-by-step explanation:

1.Rewrite the decimal number as a fraction with 1 in the denominator

2.Multiply to remove 1 decimal places. Here, you multiply top and bottom by 101 = 10

3.Find the Greatest Common Factor (GCF) of 4 and 10, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 2,

so the answer is

0.4= 2/5

5 0

2 years ago

Solve the triangle. a = 10, b = 23, C = 95°

gayaneshka [121]

C² = a² + b² - (2ab * cosC)
c² = 10² + 23² - (2 * 10 * 23 * cos95) 
c² = 100 + 529 - (460 * -.08715) 
c² = 629 - (-40.1) 
c² = 669.1 
c = 25.87 

(Sin C) / C = (Sin A) / A 
(Sin 95) / 25.87 = SinA / 10, Remember 0 < A < 85 
(10 * Sin95) / 25.87 = Sin A 
A = arcsin ((10 * sin95) / 25.87) 
A = 22.65º 

B = 180 - A - C 
B = 180 - 95 - 22.65 
B = 62.35º 

I hope this helps. Have a good day.

3 0

3 years ago

(4x^3 - x^2 +4x) + (x^3 -x^2 - 4x)

madreJ [45]

Answer:

5x³ - 2x²

Step-by-step explanation:

Step 1: Write out expression

4x³ - x² + 4x + x³ - x² - 4x

Step 2: Combine like terms (x³)

5x³ - x² + 4x - x² - 4x

Step 3: Combine like terms (x²)

5x³ - 2x² + 4x - 4x

Step 4: Combine like terms (x)

5x³ - 2x²

4 0

3 years ago

Given below are lease terms at the local dealership. What is the total

Rus_ich [418]

Answer: 112.50

Step-by-step explanation:

4 0

3 years ago

Two groups went bowling. Here are the scores from each group.

vladimir2022 [97]

Answer:

Group A has greater variability

Step-by-step explanation:

Group A: 80, 100, 190, 110, 70, 90, 130

The variability of group A data :

Taking the range :

Maximum = 190 ; Minimum = 70

Range = Maximum - Minimum ; 190 - 70 = 120

Group B : 50, 110, 100, 120, 107, 140, 150

The variability of group B data :

Taking the range :

Maximum = 150 ; Minimum = 50

Range = Maximum - Minimum ; 150 - 50 = 100

Hence, Group A has greater variability

6 0

2 years ago