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3 years ago

IM STCK PLZ HELP!!! THANK YOU :)

Mathematics

1 answer:

lesya [120]3 years ago

7 0

Answer:

x = 81, y = 68 and z = 99

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

z is an exterior angle, thus

z = 63 + 36 = 99

x and z form a straight angle and are supplementary, so

x + z = 180, that is

x + 99 = 180 ( subtract 99 from both sides )

x = 81

The sum of the 3 angles in a triangle = 180°, thus

z + y + 13 = 180, that is

99 + y + 13 = 180

112 + y = 180 ( subtract 112 from both sides )

y = 68

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prisoha [69]

Answer:

1/5

Step-by-step explanation:

We assume the events are independent, so the probability of the joint event is the product of the probabilities of the individual events.

P(Y or W) = 2 letters of 5 = 2/5

P(easy) = 1 of 2 kinds = 1/2

The product of these is ...

P((Y or W) and (easy)) = (2/5)(1/2) = 1/5

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In both cases, we have to assume that each of the possible outcomes is equally likely.

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2 years ago

On the graph, △DEF was transformed to create △DGH.

mafiozo [28]

Answer:

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Step-by-step explanation:

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2 years ago

Read 2 more answers

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gavmur [86]

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3 years ago

See the picture below

mart [117]

Answer:

a) 301.59 cubic centimeters

b) 235.87 square centimeters

Step-by-step explanation:

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

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

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2 years ago

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stiv31 [10]

Answer:

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2 years ago