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ikadub [295]
3 years ago
5

If the radius of a circle is 16 units, what is its circumference? (Use pie for it)

Mathematics
2 answers:
tensa zangetsu [6.8K]3 years ago
8 0

Answer: 100.53

Step-by-step explanation:

Circumference = 2 x pi x r

= 2 x 22/7 x 16

aleksandrvk [35]3 years ago
5 0
C=2πr=2·π·16≈100.53096
C= 100.53
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Roman55 [17]
Well, first you have to convert to one unit... then simplify
D:H
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7 0
4 years ago
Two trains started moving at the same time, train A from Boston to New York, and train B from New York to Boston. The distance b
Ede4ka [16]

Answer:

  • <u>After 1.7 hours</u>

Explanation:

<u>1. Calculate the average speed of train B</u>

  • 60mph = 3/4 (s) ⇒ s = 60 (4/3) mph = 80 mph

<u>2. Build a table</u>

When the two trains meet:

Train     Average speed     Distance       time (distance/average speed)

                 mph                            

A                 60                             x                        x/60

B                 80                        240 - x                (240 - x) / 80

<u>3. Write the equation</u>

The time, when the two trains meet, is the same for both trains:

                  \dfrac{x}{60}=\dfrac{240-x}{80}\\ \\ \\ 80x=14,400-60x\\ \\ 80x+60x=14,400\\ \\ 140x=14,400\\ \\ x=14,400/140\\ \\ x=102.85miles

<u>4. Calculate the time:</u>

  • x/60 = 102.86 / 60 = 1.7 hours

The two trains will meet after 1.7 hours

7 0
3 years ago
How many solutions are possible for a triangle with A = 113° , a = 15, and b = 8
statuscvo [17]

Answer:

One solution.

Step-by-step explanation:

To determine the number of possible solutions for a triangle with A = 113° , a = 15, and b = 8, we're going to use the law of sines which states that: "<em>When we divide side a by the sine of angle A  it is equal to side b divided by the sine of angle B,  and also equal to side c divided by the sine of angle C</em>".

Using the law of sines we have:

\frac{sin(A)}{a} = \frac{sin(B)}{b}

\frac{sin(113)}{15} = \frac{sin(B)}{8}

Solving for B, we have:

sin(B)=0.4909

∠B = 29.4°

Therefore, the measure of the third angle is: ∠C = 37.6°

There is another angle whose sine is 0.4909 which is 180° - 29.4° = 150.6 degrees. Given that the sum of all three angles of any triangle must be equal to 180 deg, we can't have a triangle with angle B=113° and C=150.6°, because B+C>180.

Therefore, there is one triangle that satisfies the conditions.

7 0
3 years ago
Which equation represents a line that passes through (2-3) and has a slope of 5?
larisa [96]

Answer:

y=5x-13

Step-by-step explanation:

y-y1=m(x-x1)

y-(-3)=5(x-2)

y+3=5(x-2)

y=5x-10-3

y=5x-13

6 0
4 years ago
Please help <br> Step by step
Aleonysh [2.5K]

The consumption of electricity in May based on the model will be 1225kw.

<h3>How to calculate the consumption?</h3>

The model that's given to calculate the consumption is:

C = 1200 + 5t

May = 5th month

The consumption in May will be:

C = 1200 + 5t

C = 1200 + 5(5)

C = 1200 + 25

C = 1225Kw

In conclusion, the consumption of electricity in May based on the model will be 1225kw.

Learn more about consumption on:

brainly.com/question/24741444

#SPJ1

4 0
2 years ago
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