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Andreas93 [3]
2 years ago
5

30+x+20=180 in Angle Sum Theorem

Mathematics
1 answer:
Svetlanka [38]2 years ago
6 0

Answer:

Step-by-step explanation:

30+x+20=180

50+x=180

x=180-50=130

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The cost of a new car is
seraphim [82]

Answer:

$24,000

Step-by-step explanation:

1. Find what 20% of 30,000 is.

20% x 30,000 = 6,000

2. The problem says the cost of a new car is 20% greater than a used car. Subtract the 6,000 from 30,000 to get the cost of the used car.

30,000 - 6,000 = 24,000

3. The cost of the used car is $24,000

5 0
3 years ago
You determine that the standard deviation for a sample of test scores is 0. This tells you that:
denis-greek [22]

Answer:

Your answer is A,B,AND D

Step-by-step explanation:

3 0
3 years ago
|x| + 6 = 3 <br><br> A question on homework
alexdok [17]

Answer:

-9

Step-by-step explanation:

-9+6=-3

5 0
3 years ago
Expand and simplify
coldgirl [10]

Answer:

A) -p + 38

B) k + 1

C) a_n = 4n + 1

D) a_n = 7n - 6

E) a_n = 14 - 4n

Step-by-step explanation:

A) 5(p + 6) - 2(3p + 4)

Multiply out the bracket to get;

5p + 30 - 6p + 8

>> -p + 38

B) 7(k - 2) - 3(2k - 5)

Multiply out the bracket to get;

>> 7k - 14 - 6k + 15

>> k + 1

C) Sequence is;

5, 9, 13, 17, 21

This is clearly an AP(arithmetic progression) because the difference between each term is 4.

Formula for nth term of an AP is;

a + (n - 1)d

Where d is difference and a is first term

Thus;

a_n = 5 + (n - 1)4

a_n = 5 + 4n - 4

a_n = 4n + 1

D) Sequence is 1, 8, 15, 22, 29.

This is also an AP.

Difference is 7.

Thus,nth term is;

a_n = 1 + (n - 1)7

a_n = 1 + 7n - 7

a_n = 7n - 6

E) 10, 6, 2, -2, -6

This is also an AP.

Difference is -4

Thus,

a_n = 10 + (n - 1)(-4)

a_n = 10 - 4n + 4

a_n = 14 - 4n

5 0
2 years ago
1) You’re baking a circular cake for a party. Your cake can be any size you want. What will the radius of your cake be and how m
HACTEHA [7]
the correct question is
1. You’re baking a circular cake for a party. Your cake can be any size you want
2. What will the radius of your cake be and how many slices will you be able to cut?
3. List the coordinates of any point in the coordinate plane.For your original discussion post, you only need to respond to #1, #2, and #3.View posts from your classmates and choose one to which you will respond.

Answer the following questions:
1. For the cake that your classmate is baking, what would be the central angle of each slice of cake?
2. If you eat two slices of cake that are side by side, what is the measure of the arc that these two slices intercept?
3. What is the circumference of the cake?
4. A circle to represent the cake is graphed on the coordinate plane. What equation represents the cake if it is centered at the point that your classmate listed for #2?
This is what my classmate posted. 
1. The radius of my cake is 6 inches and I can cut 8 pieces.
2. (2,-3)


we know that
1) the radius of the cake is r=6 in and the cake will be cut into 8 pieces
2) the coordinates of any point in the coordinate plane is (2,-3)

part 1) what would be the central angle of each slice of cake?

The central angle of each slice would be found by dividing the total central angle of a circle (360°) by the number of slices (8), 
so:
360/8=45 degrees

the answer part 1) is
Each slice would have a central angle of 45°.

Part 2) If you eat two slices of cake that are side by side, what is the measure of the arc that these two slices intercept?

The degree measure of the intercepted arc would be 2*45°=90°

The length in inches of the intercepted arc could be found:
Circumference=2*pi*r-----> C=2*pi*6----> 12*pi in

if 360° (full circle) has a length of---------> 12*pi in
90°----------------------> x
x=90*12*pi/360----> x=3*pi in

the formula to calculate the arc length is
[central angle in degrees/360°]*2*pi*r

Part 3) What is the circumference of the cake?

Circumference=2*pi*r-----> C=2*pi*6----> 12*pi in----> 37.68 in

the answer part 3) is
the circumference of the cake is 12*pi in or 37.68 in

Part 4) A circle to represent the cake is graphed on the coordinate plane. What equation represents the cake if it is centered at the point that your classmate listed for #2?

we know that
the center is the point (2,-3)
the equation of a circle is
(x-h)²+(y-k)²=r²
where (h,k) is the center
and
r is the radius
so
(x-h)²+(y-k)²=r²------- (x-2)²+(y+3)²=6²----> (x-2)²+(y+3)²=36

 the answer part 4) is 
(x-2)²+(y+3)²=36

see the attached figure

3 0
3 years ago
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