Write down the exact value of cos 30

A square has an area of 36 m2. The square is scaled in such a way that its area is increased by 28 m2. What is the approximate f

Roman55 [17]

Answer:

28/36 shd give u the answer

answer in 1:ur answer

4 0

2 years ago

Find the coordinates of the midpoint of the segment whose endpoints are H(10, 1) and K(4, 7).

Oliga [24]

The formula of a midpoint of a segment AB:

$A(x_A;\ y_A);\ B(x_B;\ y_B)\\\\M_{AB}\left(\dfrac{x_A+x_B}{2};\ \dfrac{y_A+y_B}{2}\right)$

We have:

H(10; 1); K(4; 7)

substitute:

$M_{HK}\left(\dfrac{10+4}{2};\ \dfrac{1+7}{2}\right)\to M_{HK}\left(\dfrac{14}{2};\ \dfrac{8}{2}\right)\to M_{HK}(7;\ 4)$

Answer: (7, 4)

5 0

2 years ago

Read 2 more answers

Please help!!! Will give Brainliest!!! A standard large pizza is cut into 10 slices. What is the sector area of one slice of lar

Aleks [24]

Answer:

See work below

Step-by-step explanation:

The area of a large pizza cut into 10 slices with be 20 square inches. This is from taking the area of a large 200.96 and dividing by 10.

The large pizza will always be cheaper because of economies of scale.

5 0

3 years ago

Three - fourths of a pan of lasagna is to be divided equally among six people. What part of The lasagna will each person receive

Sonja [21]

4.5 because you do 3/4 of 6 to get ana we

4 0

3 years ago

Alice has two bags of marbles: Bag A contains 8 red and 3 blue marbles, and Bag B contains 5 red and 7 blue marbles. She randoml

Thepotemich [5.8K]

It might help to draw out a probability tree. Check out the diagram below. The first two branches at the top represent bags A and B. The probability of picking either bag is 1/2 assuming each bag is equally likely to be picked.

If we go with bag A, then the probability of getting blue is 3/11 since there are 3 blue out of 8+3 = 11 total. The probability of getting bag A and a blue marble is (1/2)*(3/11) = 3/22 which I've marked in the diagram as well.

If we go with bag B, then the probability of getting blue is 7/12 since there are 7 blue out of 5+7 = 12 total. The probability of getting bag B and blue is (1/2)*(7/12) = 7/24

Add up the results found getting

P(blue) = P(blue & bag A) + P(blue & bag B)

P(blue) = 3/22 + 7/24

P(blue) = 36/264 + 77/264

P(blue) = 113/264

This is shown in the diagram as well.

--------------------------------------------------

Recall that conditional probability in general is defined as follows

P(A given B) = P(A and B)/P(B)

In this problem, we'll have

P(bag B given blue) = P(bag B and blue)/P(blue)

Therefore, we can say...

P(bag B given blue) = P(bag B and blue)/P(blue)

P(bag B given blue) = (7/24)/(113/264)

P(bag B given blue) = (7/24)*(264/113)

P(bag B given blue) = (7*264)/(24*113)

P(bag B given blue) = (7*24*11)/(24*113)

P(bag B given blue) = (7*11)/(113)

P(bag B given blue) = 77/113

In short, the probability of getting bag B, given the marble is blue, is 77/113.

8 0

2 years ago