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3 years ago

The radius of a circle is 3 miles. What is the length of a 90° arc?

Mathematics

1 answer:

stealth61 [152]3 years ago

3 0

Answer:

The length of the arc is 4.6375 miles

Step-by-step explanation:

Firstly, find the perimeter of the circle by doing 2*pi*r, you'll get about 18.55 miles.

2*pi*r ---> 2*pi*3 ---> 6*pi ---> ≈ 18.55 miles

Next, plug in x/360, where 360 is the total arc of a circle, and x is the arc you need.

x/360 ---> 90/360 ---> = 0.25

Lastly multiply the two numbers.

18.55 * 0.25 ---> 4.6375 miles is your answer.

(you may need to round your answer if needed)

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Point J (-8, -12) is reflected over the x-axis. Where is J?

Ber [7]

Answer:

2,5

Step-by-step explanation:

7 0

3 years ago

PLEASE I NEED HELP!! NO LINKS!!

SCORPION-xisa [38]

Answer:

m<N = 32°

m(NQ) = 106°

Step-by-step explanation:

Inscribed angle = ½ of the measure of the intercepted arc (inscribed angle theorem)

<N is an inscribed angle

It's intercepted arc = arc MP = 64°

Therefore,

m<N = ½(64°)

m<N = 32°

m<P = ½(m(NQ)) (inscribed angle theorem)

53° = ½(m(NQ))

Multiply both sides by 2

2*53° = m(NQ)

106° = m(NQ)

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2 years ago

Nicky has 5 cookies and bill has 4 cookies how much do they have all together

Vsevolod [243]

9 cookies

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7 0

3 years ago

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Solve. Round to the nearest tenth. 6 2-12 19 2x-2 HELP ASAP!!

Strike441 [17]

Answer:

$\displaystyle x = \frac{216}{7}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

$\displaystyle \frac{6}{19} = \frac{x - 12}{2x - 2}$

Step 2: Solve for x

Cross-multiply: $\displaystyle 6(2x - 2) = 19(x - 12)$
Distribute: $\displaystyle 12x - 12 = 19x - 228$
Isolate x terms: $\displaystyle -12 = 7x - 228$
Isolate x term: $\displaystyle 216 = 7x$
Isolate x: $\displaystyle \frac{216}{7} = x$
Rewrite: $\displaystyle x = \frac{216}{7}$

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3 years ago

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anastassius [24]

Answer:

137 cars per hour

Step-by-step explanation:

Since there were 685 cars all together you have to do 685 divided by 5 so that you can get your answer of 137 cars per hour

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3 years ago