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2 years ago

a circle has a circumstance of 20. it has an arc on length 4. what is the central angle of the arc in degrees?

Mathematics

1 answer:

erastovalidia [21]2 years ago

4 0

Answer:

∠72°.

Step-by-step explanation:

If a circle has a circumference of 20 and an arc with a length of 4, we can simply set up a ratio to determine the angle of the arc in degrees:

$\frac{4}{20} = \frac{x}{360}$

Cross multiply:

$1440 = 20x\\$

Divide both sides by '20':

x = 72°.

Therefore, the measure of the central angle of the arc is ∠72°.

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the length of a sandbox is three feet longer than it’s width. Write the expression that would represent the area of the sandbox.

Rashid [163]

Part A : D.)

Part B : Length of the sandbox is 10 feet.

Step-by-step explanation:

Given,

Perimeter = 29 ft

We need to find the equation for the perimeter and also the length of the sandbox.

Solution,

Let the width of the sandbox be 'w'.

Now as per question said;

The length of the sandbox is 1 foot longer than twice the width of the sandbox.

So we can say that;

Length =

Now we know that the perimeter is equal to the sum of twice of length and width.

framing in equation form, we get;

Perimeter =

we have given the perimeter, so on substituting the value, we get;

Hence The equation used to find the width is .

Now we solve for 'w'.

Applying distributive property, we get;

Subtracting both side by '2' we get

Dividing both side by 6 we get;

Width of the sandbox = 4.5 ft

Length of the sandbox =

Hence Length of the sandbox is 10 feet.

6 0

2 years ago

2x+1y=25 <br> find the equation of x

leonid [27]

Answer:

−1

25/2

Step-by-step explanation:

Let's solve for x.

2x+1y=25

Step 1: Add -y to both sides.

2x+y+−y=25+−y

2x=−y+25

Step 2: Divide both sides by 2.

−y+25

−1

8 0

2 years ago

Solve the equation<br> -3(x - 5) = 45

Olegator [25]

Answer:

x= -10

Step-by-step explanation:

Divide both sides by the numeric factor on the left side, then solve.

x = − 10

plz brainliest :'D

7 0

3 years ago

What is 16/48 equivalent to?

liberstina [14]

$\frac{16}{48}=\\\\\frac{16:2}{48:2}=\boxed{\frac{8}{24}}\\\\\frac{8:2}{24:2}=\boxed{\frac{4}{12}}\\\\\frac{4:2}{12:2}=\boxed{\frac{2}{6}}\\\\\frac{2:2}{6:2}=\boxed{\frac{1}{3}}\\\\\frac{1\cdot10}{3\cdot10}=\boxed{\frac{10}{30}}\\\vdots$

6 0

2 years ago

Kiran got 99 marks in Math, 69 mark in English and 91 in science. Another student Surya got 92 marks in Maths 33 in English and

statuscvo [17]

Answer:

Total marks = 468

Step-by-step explanation:

to find their total marks, you should simply find the sum of all the marks scored by Kiran and Surya in all subjects. That is done as follows:

99 + 69 + 91 + 92 + 33 + 84 = 468

4 0

3 years ago