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Leni [432]
3 years ago
9

Why are these triangles similar

Mathematics
1 answer:
Vaselesa [24]3 years ago
4 0

Answer:

because they have 3 sides

Step-by-step explanation:

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A cylinder has a volume of 105 cubic centimeter what is the volume of a cone with the same base and height?
pychu [463]

Answer:

<h2>35 cm³</h2>

Step-by-step explanation:

The formula of a volume of a cylinder:

V_1=\pi r^2H

r - radius

H - height

The formula of a volume of a cone:

V_2=\dfrac{1}{3}\pi r^2H

If the cylinder and the cone have the same base (radius) and the same height, then the volume of the cone is three times smaller than the volume of the cylinder.

V_2=\dfrac{1}{3}\underbrace{\pi r^2H}_{V_1}

Therefore:

V_2=\dfrac{1}{3}V_1\toV_2=\dfrac{1}{3}\cdot105\ cm^3=35\ cm^3

5 0
3 years ago
A hula hoop has an circumference 150.72 cm. What is the area of the hula hoop? (round to the nearest hundredth)
Leya [2.2K]

Answer:

Area = 1808.64 cm

Step-by-step explanation:

Circumference of a circle = 2πr

Circumference = 150.72

π = 3.14

r = radius

150.72 = 2 x 3.14 x r

150.72 = 6.28 r

r = 150.72/6.28

r = 24cm

Radius = 24

Area of a circle = πr²

Area = 3.14 x 24²

Area = 3.14 x 576

Area =1808.64 cm

6 0
3 years ago
in the number line shown below,which lettered point represents the quotient of 1 7/8 of divided by 1/2
emmasim [6.3K]
Where is the number line I can't solve without it
5 0
3 years ago
Read 2 more answers
10x+4y+ 12z=120 <br> 11x +77y =220 <br> 8x +2y +32z =160
Damm [24]

Answer:

x=8.94 ; y = 1.58; z=2.02

Step-by-step explanation:

solve 10x+4y+12z = 120      →          5x+2y+6z = 60

         8x + 2y +32Z = 160   →           4x+y+16z = 80

To eliminate z multiply first equation by 16 and second equation by 6.

80x+32y+96z = 960

24x+6y+96z =   480

on subtractionwe get 56x+26y = 480

dividing by 2 we get, 28x + 13y = 240

Now we have a given equation 11x + 77y = 220 → x + 7y = 20

solving 28x + 13y = 240 and x + 7y = 20

28x + 13y =240

28x + 216y = 560

subtracting we get, 203y = 320

y = 1.58

x = 8.94

z = 2.02

6 0
3 years ago
What are the values that satisfy the trigonometric equation for: 0
Amanda [17]
What are the values that satisfy the trigonometric equation for: 0


Sinθ + tan(-θ) = 0








4 0
3 years ago
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