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mojhsa [17]
3 years ago
11

Which statement can be used to prove that a given parallelogram is a rectangle?

Mathematics
1 answer:
blondinia [14]3 years ago
6 0

The diagonals are congruent


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A sphere with a radius of 6cm has the same volume as a cylinder with a height of 4.5cm. What is the radius of the cylinder
yawa3891 [41]
Short answer: r = 8
Remark
The easiest way to do this is to solve the sphere's volume in terms of pi. When you do this, you can equate that to the formula for a cylinder and cancel the pi values. 

Step One
Find the volume of the sphere.

<em>Givens</em>
r = 6 cm

<em>Formula</em>
V = (4/3) pi r^3

<em>Sub and Solve</em>
V =  4/3 pi * 6^3
V = 288 * pi

Step two 
Find the radius of the cylinder

<em>Givens</em>
V = 288* pi cm^3
h = 4.5 cm

<em>Formula</em>
V = pi r^h

<em>Sub and solve</em>
288 pi cm^3 = pi r^2 * 4.5    Divide both sides by pi
288 cm^3 = 4.5 r^2              Divide both sides by 4.5
388 / 4.5 = r^2
64 = r^2                                Take the square root of both sides.
r = square root( 64)
r = 8 <<<<< Answer

4 0
3 years ago
A right cone has a slant height of 6 and a radius of 4. What is its surface
gladu [14]
The answer is A! Hope you have a nice day <3
6 0
2 years ago
What is the measure of each angle?
mariarad [96]
(2x+3)+(x-6)= 180 [straight angle]
2x+x+3-6=180
3x=183
x=61
(All measure in degree)

Hope this can help.
7 0
3 years ago
Read 2 more answers
A cone and a cylinder have equal volume and bases of the same diameter if the height of the cone is 36 CM what is the height of
Oliga [24]
About 34 CM Height

Step By Step explanation
5 0
3 years ago
Adult tickets to a play cost $2.25 each and student tickets cost $1.25 each. Suppose there are twice as many student tickets sol
Ganezh [65]

9514 1404 393

Answer:

  • 300 adult tickets
  • 600 student tickets

Step-by-step explanation:

We can group tickets into a group that has 2 student tickets and 1 adult ticket for a price of 2($1.25) +2.25) = $4.75. The number of these groups sold is ...

  $1425/4.75 = 300

300 adult tickets and 600 student tickets were sold.

8 0
2 years ago
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