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Svetradugi [14.3K]
3 years ago
5

The circumference of a circle is 60pi cm. What is the diameter of the circle?

Mathematics
2 answers:
Sauron [17]3 years ago
5 0
The Diameter is 60. The 60 represents the diameter as you may know the formula is  C=d*Pi
IrinaK [193]3 years ago
4 0

Answer: 60 cm

Step-by-step explanation:

We know that the circumference of a circle is given by :-

\text{Circumference}=\pi d, where d is the diameter of the circle.

Given: The circumference of a circle is 60\pi cm

\Rightarrow\ 60\pi=\pi d, where d is the diameter of the circle.

Dividing  \pi both sides of the equation, we get

d=60\text{ cm}

Hence, diameter of of the circle = 60 cm.

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Daryl measures the angle of elevation to be 62 degrees. Frances measures the angle of elevation to be 54 degrees. if the two ent
Leya [2.2K]

Answer:

<em>The helicopter is 27.38 m far off the ground</em>

Step-by-step explanation:

The drawing shown in the image below has all the measures and variables needed to solve the problem.

We need to find R, the height of the helicopter. We'll use the law of sines to find the length of side a.

\displaystyle \frac{28}{\sin X}=\frac{a}{\sin 54^\circ}

The angle X is the measure needed to complete 180°:

X = 180° - 54° - 62° = 64°

Solving for a:

\displaystyle a=\frac{28}{\sin 64^\circ}\cdot \sin 54^\circ

Calculating:

a = 31.11 m

Now using the sine ratio in the right triangle to the left side:

\displaystyle \sin 62^\circ=\frac{R}{a}

Solving for R:

R=a\sin 62^\circ

R=31.11*0.88

R = 27.38 m

The helicopter is 27.38 m far off the ground

5 0
3 years ago
Carrie place is a 10 foot ladder against the wall if the ladder makes an angle of 65° with the level ground how far up the wall
natita [175]

Answer:

9......

Step-by-step explanation:

A right-angled triangle in the image below will be formed.

Now, we will make use of the trigonometric rule......

But before that, how do know the perfect rule to apply so as to solve the problem?

#. The side facing the angle 65 deg. is called the Opposite side

#. The side facing the angle 90 deg. is called the Hypotenuse

#. While the last side is called the Adjacent

Now, Looking at our question, we were given the Hypotenuse and asked to look for the Opposite side....This is where we apply the trigonometric rule

Sine(θ)=Opposite/Hypotenuse

Therefore,

Sine 64 = Opposite/10

Opposite = 10 x sine64

Opposite = 10 x 0.9

Opposite = 9cm

6 0
3 years ago
Read 2 more answers
Find the lowest common denominator of and . A. 16 B. 32 C. 8 D. 4
aliina [53]
D. 4 is the correct answer I wrote it out
6 0
4 years ago
Read 2 more answers
What number is 344% of 107
olga55 [171]

Answer:

368.08

So I turn the numbers into fractions so 344% would be 344/100 because percentages are out of 100. Since it is 344% OF 107, you'd put 107 on the bottom of the fraction and the answer will go on top. I multiply the IS with the OF (IS is the top number and OF is the bottom) so you'd multiply 107x344 to get 36808. Since 344 is a percent (out of 100) you have to do divide the answer by 100 to get 368.08

I hope that helps!

8 0
4 years ago
Jeff feeds the family dog on Wednesdays and his sister Melody feeds the dog on Fridays. On Wednesday, Jeff gave the dog 5/8 of a
Tasya [4]
8 x 5/8 = The ounces fed by Jeff
You need to convert 1/2 with the denominator of 8 with would be 4/8
8 x 4/8 = The ounces fed by Melody
HOPE THIS HELPS!!
4 0
3 years ago
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