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3 years ago

What is this answer? :)

Mathematics

1 answer:

sergey [27]3 years ago

6 0

Answer:

the answer is b

Step-by-step explanation:

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Janet had 3/5 yd of material. she used 1/3 of it for a hat. How much material did she use? explain how you got your answer.

9966 [12]

Answer:

Think of the total as 1/5 + 1/5 + 1/5 = 3/5

You have THREE fifths of material.

You use ONE of those fifths.

That leaves you with TWO fifths.

Step-by-step explanation:

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3 years ago

A tendency to avoid putting money into high-risk investments is known as being _____.

horsena [70]

Answer:

b i'm sorry if it's wrong

Step-by-step explanation:

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3 years ago

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3 years ago

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Evgesh-ka [11]

Answer:56.077

Step-by-step explanation:

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3 years ago

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The angle of elevation of the top of a radio mast from a point due east of it and 96 m away from its base is 30°. From another p

marshall27 [118]

Answer:

32 m

Step-by-step explanation:

<u>Trigonometric ratios</u>

$\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}$

where:

$\theta$ is the angle
O is the side opposite the angle
A is the side adjacent the angle
H is the hypotenuse (the side opposite the right angle)

Calculate the height of the radio mast using the tan trig ratio.

Given:

$\theta$ = 30°
O = h (height of radio mast)
A = 96 m

$\implies \sf tan(30^{\circ})=\dfrac{ \sf h}{96}$

$\implies \sf h=96 \tan (30^{\circ})$

$\implies \sf h=\dfrac{96 \sqrt{3}}{3}$

$\implies \sf h=32 \sqrt{3}\:\:m$

To calculate the distance from the second point to the base of the mast, use the tan trig ratio:

Given:

$\theta$ = 60°
O = 32√3 m
A = d

$\implies \sf tan(60^{\circ})=\dfrac{ \sf 32 \sqrt{3}}{d}$

$\implies \sf \sqrt{3}=\dfrac{ \sf 32 \sqrt{3}}{d}$

$\implies \sf d=\dfrac{ \sf 32 \sqrt{3}}{\sqrt{3}}$

$\implies \sf d=32\:\: m$

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2 years ago