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goblinko [34]
4 years ago
10

Is line AB tangent to the circle

Mathematics
1 answer:
Solnce55 [7]4 years ago
8 0

no it is not a tangent

for it to be a tangent to the circle Angle A would have to be a right angle.

to check if its a right angled triangle, you can use pythagoras.

\sqrt{ {7.5}^{2}  +  {16}^{2} }  = 17.67059...

this shows it is not a right angled triangle because this calculation does not give us 10.3

therefore it is not a tangent and there is no right angle

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The mean height of a group of 500 nonsmoking college students is 74 inches and the standard deviation is 5 inches. What is the p
Brrunno [24]
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3 years ago
Ashton bought 5 cans of olive oil. Each can had a radius of 3.2 inches and was 15 inches tall. Find the total cubic inches of ol
amid [387]

Step-by-step explanation:

A can is a cylinder.

Volume of a can = Volume of Cylinder

= \pi {r}^{2} h

Given Radius = 3.2 inches and height = 15 inches,

Volume of one olive oil can =

\pi( {3.2}^{2} )(15) \\  = 153.6\pi {in}^{3}

Volume of 5 olive oil cans = 5 x volume of one olive can

= 5 \times 153.6\pi \\  = 768\pi {in}^{3}

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5 0
3 years ago
See the picture below
mart [117]

Answer:

a) 301.59 cubic centimeters

b) 235.87 square centimeters

Step-by-step explanation:

a)

Volume of ice cream cone is volume of hemisphere PLUS volume of cone.

Volume of Hemisphere = \frac{\frac{4}{3}\pi r^3}{2}

radius is given as 4, so,

Volume of Hemisphere = \frac{\frac{4}{3}\pi r^3}{2}\\=\frac{\frac{4}{3}\pi (4)^3}{2}\\=134.04

Now, Volume of Cone = \frac{1}{3}\pi r^2 h

Where radius is 4 and height is 10, so,

Volume of Cone = \frac{1}{3}\pi r^2 h\\=\frac{1}{3}\pi (4)^2 (10)\\=167.55

Volume of Ice Cream Cone = 134.04 + 167.55 = 301.59 cubic centimeters

b)

Surface area of ice cream cone is surface area of hemisphere PLUS surface area of cone.

Surface Area of Hemisphere = 2\pi r^2\\=2\pi (4)^2\\=100.53

Surface Area of Cone = \pi r^2+\pi rl

We dont need to use the first part, \pi r^2  since it is "inside". We  need to find l, slant height, by using pythagorean theorem on a triangle we can make (bottom right).

4^2 + 10^ 2 = l^2

16 + 100 = l^2

116 = l^2

l = 10.77

Now to find the surface area of cone = \pi rl\\=\pi (4)(10.77)\\=135.34

Surface area of ice cream cone = 100.53 + 135.34 = 235.87 square centimeters

5 0
3 years ago
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