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sashaice [31]
3 years ago
15

A sphere has a radius of 6 inches and a surface area of 144π in2. The radius of the sphere will be doubled. How will this effect

the surface area of the sphere?
Mathematics
2 answers:
enot [183]3 years ago
8 0

Answer:

it quadrupled

Step-by-step explanation:

Solnce55 [7]3 years ago
4 0
FORMULA FOR SURFACE AREA OF SPHERE = 4 pi r^2 

<span>r = 6 " area = 4 pi X 6 X 6 = 144 pi " squared </span>

<span>r = 12 " </span>

<span>area = 4 X pi X 12 X 12 = 576 pi" squared </span>


<span>ANSWER Area will be 4 times the original</span>
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1. If one side of the square is 12in, what is the perimeter and area of the parallelogram?
gayaneshka [121]

Answer:

Not sure for 1. Area might be 144. Perimeter might be 50. I got perimeter by finding slant height of the parallelogram and then substituting it to the perimeter formula (P=2(a+b) where a is a side and b is a base). I found area by just multiplying 12*12 since to find area of parallelogram, it is base x height.

2. 45, 135, 135

Step-by-step explanation:

2. We know that an isosceles trapezoid has congruent base angles and congruent upper angles, so if one base angle measures 45 degrees, the other base angle will also be 45 degrees.

For the upper angles, we know that diagonal angles are supplementary, so 180- base angle 1 (45 degrees)= upper angle 1

180-45=upper angle 1

upper angle 1 = 135 degrees

Mentioned above, upper angles are congruent, so upper angles 1 and 2 will be 135 degrees.

Check: The sum of angles in a quadrilateral is equal to 360 degrees. We can use this to check if our answer is correct.

135+135=270 degrees (sum of upper angles)

45+45= 90 degrees (sum of base angles)

270+90=360

So the angle measures of the other three angles are 135, 135, and 45.

Hope this helps!

7 0
2 years ago
Find the arc length of the partial circle.
nalin [4]

Answer:

1/2 pi

Step-by-step explanation:

This is 1/4 of a circle

Find the  circumference and multiply by 1/4

1/4 C

1/4 ( 2*pi*r)  where r is the radius

The radius is 1

1/2 pi*1

1/2 pi

7 0
3 years ago
Read 2 more answers
Write an algebraic expression for the following: 17 more than a number.
Marysya12 [62]

Answer:

x+17

Step-by-step explanation:

Writing this for the sake of adding more characters, but yeah. 'A number' is basically x, add 17....bam! x+17

6 0
2 years ago
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In the calm waters of an inlet, Manon's boat moves with a velocity (speed and direction) vector \vec{b_1} = (3,4) b 1 ​ ​ =(3,4)
andrew-mc [135]

Answer with Step-by-step explanation:

We are given that

b_1=(3,4)

b_2=(1,1)

We have to find the speed of river's current and the direction of current flowing.

b=b_2-b_1=(1,1)-(3,4)=(-2,-3)

Speed of river's current=\mid b\mid

Speed of river's current=\sqrt{(-2)^2+(-3)^2}

Speed of river's current=\sqrt{13} m/s

By using the formula

\mid r\mid =\sqrt{x^2+y^2}

Direction of current flowing,\theta=tan^{-1}(\frac{y}{x})

\theta=tan^{-1}(\frac{-3}{-2})=56.3^{\circ}

The angle lies in third quadrant therefore

\theta=180+56.3=236.3^{\circ}

3 0
3 years ago
Two angles are supplementary. The first angle measures 40 degrees. What is the measurement of the second angle
Dmitrij [34]
Supplementary angles add up to 180º
If one is 40º, then the other is (180º-40º) = 140º

None of those choices describes a plane.
choice C is the only example of a plane.

8 0
3 years ago
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