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vivado [14]
3 years ago
12

The diagram shows a solid shape...

Mathematics
1 answer:
masya89 [10]3 years ago
8 0

Answer:

756π cm^3.

Step-by-step explanation:

Volume of the cone

270π = 1/3 π r^2 h

270π = 1/3 π r^2 * 10

r^2 =  270 / ( 10/3 )

r^2 = 81

r = 9 cm.

So the volume of the hemisphere = 1/2 * 4/3 * π * 9^3

=  486π cm^3.

So the volume of the whole solid =  270π + 486π

= 756 π cm^3.

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What is the perimeter of the triangle (4,1) (2,5) (1,-1)
Naya [18.7K]

the perimeter of the triangle=14.38

The coordinates of the triangle (4,1),(2,5),(1,-1);

In geometry, the perimeter of a shape is defined as the total length of its boundary.

The perimeter of the triangle is the sum of all the sides of the triangle =a+b+c (assuming a,b, and c are the sides of the triangle)

By using the distances formula find the length of the sides of the triangle:√[(x₂ - x₁)² + (y₂ - y₁)²],

where (x₁,y₁),(x₂,y₂) are the coordinates ,

a=√[(4 - 2)² + (1- 5)²] = \sqrt 20=4.7

b=√[(2 -1)² + (5 -(-1))²]=\sqrt37=6.08

c=√[(1 -4)² + ((-1)-1)²]=\sqrt13=3.60

the perimeter of the triangle=a+b+c=4.7+6.08+3.60=14.38

hence ,perimeter of the triangle=14.38

Learn more about perimeter of triangle:

brainly.com/question/23935199

3 0
1 year ago
How do you write 3,029,251 in word form
Dmitrij [34]
Three million twenty nine and two hundred fifty one




6 0
3 years ago
Read 2 more answers
What is 120.571 in expanded form?
borishaifa [10]
The expanded form would be 100.000 +20.000+0.000+.500+.070+.001
5 0
4 years ago
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A private airplane leaves an airport and flies due east at 192 km/hr. Two hours later, a jet leaves the same airport and flies d
elixir [45]
The answer is 0.5 hours.

A velocity (v) of an object is a distance (d) divided by time (t):
v = d ÷ t                         ⇒                  t = d ÷ v

It is given:
v1 = 192 km/h
v2 = 960 km/h
t1 - t2 = 2h
We need to calculate t2.

Since they will travel the same distance before the jet overtakes the plane, we can say that d1 = d2 = d

Now, let's express t1 and t2:
t1 = d/192
t2 = d/960

Therefore: d/192 - d/960 = 2
The least common denominator is 960, so:
5d/960 - d/960 = 2
4d/960 = 2
4d = 2 · 960
4d = 1920
d = 1920 ÷ 4 = 480 km

Now t2 = d/960 = 480/960 = 0.5 hours.
5 0
4 years ago
-845 degree coterminal angle
meriva
Check the picture below.

with negative angles, we go "clockwise", the same direction a clock hands move.

so -360-360-125 = -845.

so as you see in the picture, you go around twice, and then a little bit more, an extra 125°, landing you at -125°, or its positive counterpart, 235°.

6 0
3 years ago
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