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Snowcat [4.5K]
3 years ago
15

What is the measure of the inscribed angle ABC if the measure of the arc, which this angle intercepts is:

Mathematics
1 answer:
Margaret [11]3 years ago
5 0
I believe the answer should be A
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1. An inflatable beach ball has a circumference of 141.3 centimeters. What is the volume of the beach ball when fully inflated?
Tema [17]

1) The volume of the beach ball when fully inflated is 47690 cubic centimeters.

2) The value of x is 3.

<u>Step-by-step explanation:</u>

It is given that, an inflatable beach ball has a circumference of 141.3 centimeters.

<u>1) To find the volume of the beach ball :</u>

Use the formula for volume of sphere to find the volume of beach ball when fully inflated.

Volume of sphere = (4/3)πr³

where, r is the radius of the sphere and π has the default value of 3.14.

<u>To find the radius :</u>

The given circumference is 141.3 = 2πr

⇒ r = 141.3 / 2π

⇒ r = 141.3 / (2×3.14)

⇒ r = 141.3 / 6.28

⇒ r = 22.5

Now, substituting r= 22.5 in the volume of sphere formula

Volume of sphere = (4/3) ×3.14× (22.5)³

⇒ 4/3 ×3.14 ×11391

⇒ (12.56×11391) / 3

⇒ 47690 cubic centimeters

The volume of the beach ball when fully inflated is 47690 cubic centimeters.

<u>2) The given equation is </u>4^{x} = 64<u></u>

⇒ 64 = 4×4×4

⇒ 64 = 4³

Therefore, the value of x is 3.

6 0
3 years ago
Help me please I am still confused
wel

Answer:

2x=140

x=70

Step-by-step explanation:

4 0
3 years ago
A container can hold 25 pounds of beans. Right now there are 12.5 pound of beans. What is the percentage of beans in the contain
aivan3 [116]
50% because 12.5lbs is half of 25lbs
6 0
3 years ago
Read 2 more answers
You want to buy a car, and a local bank will lend you $30,000. The loan would be fully amortized over 6 years (72 months), and t
Georgia [21]

Answer:

<h2>- 56,667cents</h2><h2>- 6.17%</h2>

Step-by-step explanation:

Before we can determine the monthly loan paymnet, we must first calculate the total amount paid at the end of 6years.

Amount = Principal + Interest

Given Principal = $30,000

Interest = Principal * rate * time/100

Interest = $30,000*6*6/100

Interest =  $10,800

Amount =  $30,000+ $10,800

Amount =  $40,800

If amount paid after 6years is $40,800, my monthly loan payment = $40,800/72 ≈ $566.67 to nearest dollar.

since $1 - 100cents

$566.67 = 100 * 566.67

$567 = 56,667cents

Monthly loan payment to nearest cent will be  56,667cents

EFF = (1 + r /n)^n - 1

r is the rate and n is the number of period per year which is 12months

%EFF = EAR = (1 + 0.06 /12)^ 12 - 1

%EFF = 1.005^12

%EFF = 1.061678 - 1

%EFF = 0.061678

%EFF = 6.17% to 2dp

6 0
3 years ago
Math inequality<br><br> y+ 3 &lt; 10
wariber [46]

Answer:

y <7

Step-by-step explanation:

Move all terms not containing y to the right side of the inequality.

4 0
3 years ago
Read 2 more answers
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