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Dimas [21]
3 years ago
15

The diameter of a circle is 7 inches.find it's area to the nearest 10th

Mathematics
1 answer:
dangina [55]3 years ago
5 0

Answer: d=7 inches

r=7/2

r=3.5

A=πr²

A=3.14(3.5inch)²

A=3.14×12.25inch²

A=38.465inch²

A≈38.47inch²

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A person is standing 50 ft from a statue. The person looks up at an angle of elevation of 8 degrees when staring at the top of t
borishaifa [10]

The height of the statue is 19.5 feet.

Why?

We can solve the problem using trigonometric formulas. In this case, we are going to use the trigonometric formula of the tangent.

We know that the person is standing 50ft from the statue, so, it will be the base of the two triangles formed by both angles (elevation and depression)

Using the trignometric formula, we have:

First triangle:

tg(\alpha )=\frac{h_{1}}{base} \\\\tg(8\°)=\frac{h_{1}}{50ft}\\\\0.14*50ft=h_1\\\\h_1=7ft

Second triangle:

tg(\alpha )=\frac{h_{2}}{base} \\\\tg(14\°)=\frac{h_{1}}{50ft}\\\\0.25*50ft=h_1\\\\h_1=12.5ft

Now, the total height of the statue will be:

TotalHeight=h_1+h_2=7ft+12.5ft\\\\TotalHeight=19.5ft

Have a nice day!

8 0
3 years ago
The number of bacteria in a certain culture doubled every hour. If there were 30 bacteria present in the culture initially, how
vichka [17]

Answer:

The number of bacteria after 8th will be 3840

Step-by-step explanation:

Given the initially 30 bacteria present in the culture.

Also, the number of bacteria got doubled every hour.

So, using the equation

A=A_0r^{n-1}

Where A is number of bacteria after n hours.

A_0 is bacteria present initially.

r is the common ration, in our problem it is given that bacteria doubles every hour. So, r=2

And n is the number of hours. In our problem we need amount of bacteria at the end of 8th hours. So, n=8

Plugging values in the formula we get,

A=30(2)^{8-1}\\A=30\times 2^7\\A=30\times 128\\A=3840

So, number of bacteria after 8th will be 3840

3 0
3 years ago
NEED HELP FAST PLEASE
natita [175]
Hey!


To solve this equation, we'd first have to apply the distributing rule to this equation.

<em>Original Equation :</em>
( 3a - 2 )^{2}

<em>New Equation {Changed by Applying the Distribution Rule} :</em>
( 3a )^{2} - 2 · 3a · 2 + 2 ^{2}

And now we simplify.

<em>Old Equation :</em>
( 3a ) ^{2}  -2 · 3a · 2 + 2 ^{2}

<em>New Equation {Old Equation Simplified} :</em>
9a ^{2} - 12a + 4

<em>So, the equation (3a - 2) ^{2} simplified is</em>  9a ^{2} - 12a + 4.

Hope this helps!


- Lindsey Frazier ♥
5 0
3 years ago
What is the measure of OAC
Lady bird [3.3K]

Answer:

27°

Step-by-step explanation:

  • A tangent meets a radius at 90°
  • Angles in a trainable sum to 180°
  • 180 - 90 - 63 = 27°
4 0
2 years ago
Read 2 more answers
What is the answer please I need help if you send a link I will report because your just trying to scam someone
madam [21]

Answer:

The median is 6.

Step-by-step explanation:

8 0
3 years ago
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