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saul85 [17]
3 years ago
9

What is the length of arc S shown below? Enter an exact expression.

Mathematics
1 answer:
aleksandrvk [35]3 years ago
6 0

Answer:

S = 15π = 47.12

length of arc S = 15π

Attached is the image of the arc.

Step-by-step explanation:

Given;

Radius arc r = 10

Angle at the center of arc ⍉ = 3π/2

The length of the arc S can be derived using the formula;

S = r × ⍉

Substituting the values;

S = 10 × 3π/2

S = 30π/2

S = 15π =  47.12

length of arc S = 15π

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Find the solution to the system of equations: x 3y = 7 and 2x 4y = 8 1. isolate x in the first equation: 2. substitute the value
DIA [1.3K]

The solution to the system of equation are x = -2 and y = 3

<h3>How to find the solution of a system of equation?</h3>

x + 3y = 7

2x + 4y = 8

Let's isolate x in the first equation

x = 7 - 3y

substitute the value of x in the second equation.

Therefore,

2(7 - 3y) + 4y = 8

14 - 6y + 4y = 8

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-2y = -6

y = -6 / -2

y = 3

Hence,

x + 3(3) = 7

x = 7 - 9

x = -2

learn more on equation here: brainly.com/question/12926248

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4 0
2 years ago
Read the sentence below about the Chicago fire of 1871. The city of Chicago was restored quickly after the fire. Which revision
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Answer:

A:The city of Chicago was restored after the fire of 1871, as many structures were rebuilt at a rapid pace.

Step-by-step explanation: credit to beverlymichelle in the comments

6 0
3 years ago
This is the last one for the morning and may be some later
kompoz [17]

Answer:

A is correct Please brainliest me

Thus, also saying that it is equivalent.

Step-by-step explanation:

The expression stated- (3m+1-m)

It also states to give a equal amount

What is equalevent expression?- Equivalent expression are those expression  that looks different but are same.

For example, 2+2 is 4 and 1 plus 3 is 4

it is different expression but the same answer.

The Expression- 3m+1-m

Simplify. How?- By adding LIKE terms.

Here- 3m+ 1 - m = (3-1) m + 1

see the same.

To conclude, 3-1) m + 1  = 2m + 1

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so a is correct

4 0
3 years ago
Ok if you have 734
White raven [17]
The answer you will need is seven hop I was helpful do me a favor and click on thank on the bottom
5 0
2 years ago
Daniel can by a particular brand of juice in a 6 ounce bottle or a 10 ounce bottle the juice in a 10 ounce bottle contains 150 c
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Answer: There are 90 calories in a 6-ounce bottle.

Step-by-step explanation:

We assume that the quantity of juice in the bottle is directly proportional to the number of calories it contains.

Given: 10 ounces of juice has 150 calories.

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Now, In 6 ounce of juice, the number if calories = 15 x 6 = 90 calories

Hence, there are 90 calories in a 6-ounce bottle.

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2 years ago
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