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Anvisha [2.4K]
2 years ago
6

Rotate angle ABC 90 degrees clockwise about the origin and then reflect over the x-axis

Mathematics
1 answer:
Lady_Fox [76]2 years ago
8 0

Rotation and reflection are instances of transformation

See attachment for the new position of  \triangle ABC

From the question, we have:

A = (-1,1)

C = (-2,4)

The rule of 90 degrees clockwise rotation is:

(x,y) \to (y,-x)

Using the above transformation, the new points would be

A' = (1,1)

B' =(3,3)

C' = (4,2)

The next transformation is reflection over the x-axis

The rule of this transformation is:

(x,y) \to (x,-y)

So, the new points would be:

A" = (1,-1)

B" = (3,-3)

C" = (4,-2)

See attachment for the new points

Read more about transformation at:

brainly.com/question/11709244

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A survey is being conducted in a county where 62% of the voters are Democrats and 38% are Republican. (a) What is the probabilit
Inessa05 [86]

Answer:

0.3844 = 38.44% probability that two independently surveyed voters would both be Democrats

Step-by-step explanation:

For each voter, there are only two possible outcomes. Either the voter is a Democrat, or he is not. The probability of the voter being a Democrat is independent of other voters. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

62% of the voters are Democrats

This means that p = 0.62

(a) What is the probability that two independently surveyed voters would both be Democrats?

This is P(X = 2) when n = 2. So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{2,2}.(0.62)^{2}.(0.38)^{0} = 0.3844

0.3844 = 38.44% probability that two independently surveyed voters would both be Democrats

3 0
3 years ago
A service club is selling raffle tickets for 2.50 each to raise money for a charity. Vanessa has 34.75 to spend on raffle ticket
posledela

Answer:

13 Raffle tickets

Step-by-step explanation:

Cost for one riffle ticket = 2.50

Total money of Vanessa budgeted for riffle ticket : 34.75

Greatest number of riffle ticket, venessa can with with 34.75

I'll like us to divide 34.75 by 2.5 to get the exact value.

Therefore,

34.75 / 2.5

= 13.9

It therefore implies that, Vanessa will buy a maximum of 13 riffle tickets and still have a change of 2.25

4 0
3 years ago
Choose a justification for each step in the derivation of the sine difference identity.
Natali [406]

Answer:

Step 1:  

✔ Cofunction identity

Step 5:  

✔ Sine difference identity

Step 6:  

✔ Cofunction Identity

Step 7:  

✔ Cosine function is even, sine function is odd.

Step-by-step explanation:

8 0
2 years ago
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A red gumball is 2 5/8 Inches across. A green gumball is 2 5/6 inches across and a blue gumball in 2 7/9 inches across. list the
Masteriza [31]

Answer: 5 8 7 9 5 6

Step-by-step explanation:

Because you go by which is closer to the denominator

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3 years ago
circle centered at the origin has a radius of 5 units. The terminal side of an angle, θ, intercepts the circle in Quadrant IV at
astraxan [27]

Answer:

Step-by-step explanation:

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y² = 16

y = ±√16 = ±4

Since the terminal side is  in quadrant IV, y = -4

sinθ = -4/5

5 0
3 years ago
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