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Ksju [112]
3 years ago
6

The sector of a circle with a 12 in. radius has a central angle measure of 60°. What is the exact area of the sector in terms of

 ​ π ​ ?   Enter your answer in the box.
Mathematics
1 answer:
Lana71 [14]3 years ago
3 0
That is angle/360 times area

area=pir^2
r=12 in this one
and angle=60
so
60/360 times pi12^2=1/6 times 144pi=24pi square inches
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Tema [17]

Answer:

I have a lead pencil and only 2 pieces of lead left. One is 5/6 inches long and the other is 1/3 inches long. How many times longer is the 5/6 then the 1/3?

Step-by-step explanation:

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3 years ago
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Venus's orbital distance from the Sun is 0.72 AU. How long does it take for Venus to complete one orbit around the Sun, compared
qwelly [4]

Answer:

224.7 days

Step-by-step explanation:

Venus is the second planet out of the nine planets and it precedes the planet earth. Venus has an orbital distance of 0.72 AU from the sun while Earth has an orbital distance of 149.60 million km from the sun. Due to these distances, the Venus completes one orbit around the sun in 224.7 days while the Earth complete one orbit around the sun in 365.256 days but in a leap year, it completes one orbit around the sun in 366 days.

8 0
3 years ago
Table show step by step how do you simplify the algebraic expression 3(x-5)+4x. <br>Justify step 4​
ale4655 [162]
<h3>Answer: Commutative Property (choice C)</h3>

===================================================

Explanation:

Here are all of the justifications for each step

  • Step 1. None needed. This is the original expression
  • Step 2. Distributive property
  • Step 3. Multiply  (the 3 and 5 multiply to 15)
  • Step 4. Commutative property. Specifically, this is the commutative property of addition which allows us to add any two numbers in any order we want. In this case, the  -15 and 4x terms swap places.
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6 0
3 years ago
Given: is an angle bisector of ∠JMK<br><br><br>Prove: m
astraxan [27]

Answer:

An angle bisector is a line passing through the vertex of the angle that cuts the angle into two equal smaller angles.

Given: MN is angle bisector,

then  

\angle JMN \cong \angle NMK            .......  [1]

Congruent angles are  two or more angles that have the same measure.

then;

by definition of congruent angles

[1]⇒ m\angle JMN = m\angle NMK                ......[2]

By the  Angle addition postulates states that if M is in the interior of ∠JMK then,

m\angle JMN+m\angle NMK =m\angle JMK            ......[3]

Now, by substitution property ; substitute the equation [2] in [3] we get;

m\angle JMN+m\angle JMN =m\angle JMK                 ......[4]

Like terms terms whose variables  are the same

Combine like terms in equation [4] we get

2 \cdot m\angle JMN=m\angle JMK                      ......[5]

Division property of equality states that you divide the same number to both sides of an equation.

Divide by 2 to both sides in equation [5] , we get

m\angle JMN= \frac{1}{2} m\angle JMK    


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Someone help me on this ASAP
Anvisha [2.4K]
So I think the answer to m<5 is 75 degrees
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