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kirill [66]
3 years ago
15

Please look at the image

Mathematics
1 answer:
m_a_m_a [10]3 years ago
5 0

Step-by-step explanation:

the exterior angle at every interior angle will be found by 180 minus the interior because angles on a straight line add to 180 degrees

The sum of the exterior angles in a shape always add up to 350 degrees

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a right triangle is removed from a rectangle to create the shaded region shown below. find the area of the shaded region. be sur
ser-zykov [4K]

Answer:

36

Step-by-step explanation:

Objective: Find missing dimensions of the right triangle using the then subtract that area of the triangle from the rectangle's area.

Using the definition of a rectangle, the left vertical side measure is 7 and right vertical side is 6. So the missing legs of the triangle is 4 and 3.

Apply triangle formula, base x height divided by 2.

\frac{4 \times 3}{2}  = 6

Area of rectangle is length x width so the area is

7 \times 6 = 42

Subtract 6 from 42.

42 - 6 = 36

3 0
3 years ago
A cone has a volume of 108 pi and a base diameter of 12. What is the height of the cone?
serious [3.7K]

Answer:

h  = 9 units of length

Step-by-step explanation:

Volume of a circular right cone is:

V(c)  = (1/3)*Area of the circular base * h

Where h is the height of the cone, then

V(c)  =  (1/3) * π * r² * h

And  we have that  V(c) = 108*π

Then:

108 * π  =  (1/3) * π * r² * h                  (1)

We know diameter of the circular base is 12 units, according to that

r =  d/2     ⇒  r = 12/2     r = 6 units

Then:

108 * π  [ cubic units ]  =  (1/3) * π * (6)² * h  [square units] [ units of length]

When simplifying we have to take into account that in order to keep last equation h needs to have units of length  

Therefore:

108  =  (1/3) * 36 * h

h = ( 108* 3 )/ 36

h  = 9 units of length

7 0
4 years ago
Two trains leave the station at the same time one heading east and one heading west the eastbound train travels 80 miles per hou
k0ka [10]
100*2.2=220
80*2=176
220+176=396

So the two trains will take 2.2 hours so that they are 396 miles apart.
5 0
3 years ago
Colleen has a prepaid phone card with $40 on it. It costs her $0.25 for each minute she spends on the phone. How much money will
Grace [21]

Answer:she will have $25 left .

Step-by-step explanation:

0.25(60)  = 15

$40 - $15 = $ 25

5 0
3 years ago
Select all the numbers that show 4% as an equivalent fraction, decimal, or percent.
max2010maxim [7]

Answer:

Step-by-step explanation:

0.04

6 0
2 years ago
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