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olya-2409 [2.1K]
3 years ago
5

Find the coordinates of the vertices of a triangle after a 90 degree rotation counterclockwise about the origin.

Mathematics
1 answer:
Oksana_A [137]3 years ago
7 0

Step-by-step explanation:

The rule for a 90 degree counterclockwise is

(x,y) -> (-y,x)

so

C(-1,2) -> C'(-2,-1)

D(3,5) -> D'(-5,3)

E(1,2) -> E'(-2,1)

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Given:

A spinner marked A, B, C is spun then a 6-sided die is rolled.

To find:

The probability of getting a B and then a 6.

Solution:

We know that,

\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}

Total possible values for a spinner are 3. So, the probability of getting B, we get

P(B)=\dfrac{1}{3}

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P(6)=\dfrac{1}{6}

Now, the probability of getting a B and then a 6 is

P(B,6)=\dfrac{1}{3}\times \dfrac{1}{6}

P(B,6)=\dfrac{1}{18}

The required probability is \dfrac{1}{18}.

Therefore, the correct option is D.

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2 years ago
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VLD [36.1K]

Answer:

Your answer is.....

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Step-by-step explanation:

7 0
3 years ago
Find the volume of a hemisphere with a radius of 8. Round to the nearest tenth.
skad [1K]

Answer:

V(hemisphere) = 1072.3in^3

Step-by-step explanation:

To find the volume of a hemisphere, we will have to take the volume of a sphere as a whole and divide it by 2. This is because a hemisphere is half of a sphere.

The volume of a sphere is:

Let's plug in the radium of 8 into the equation and solve:

Now, divide it by 2

V(sphere) = (2144.660585)/2

V(hemisphere) = 1072.3in^3

I hope this helps!!

6 0
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Answer:

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3 years ago
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