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Alex787 [66]
3 years ago
7

What is the product of three square root of eight times four square root of three? Simplify your answer.

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
7 0
The\ product\ of 3 \sqrt{8}*4 \sqrt{3}\ is\ 24 \sqrt{6}.


First, recognize that all the numbers can be moved around because they are being multiplied together.
Next, rearrange the expression so that the whole-number coefficients are together:

3\sqrt{8}*4\sqrt{6}
3*4*\sqrt{8}*\sqrt{3}

Now try to simplify the square-roots to find any squares inside that can be reduced and taken out of the square-root:

3*4*\sqrt{(2*2*2)}*\sqrt{3}
3*4*\sqrt{4*2}*\sqrt{3}

Multiply the square roots together:
3*4*\sqrt{(4*2*3)}
3*4*\sqrt{(4*6)}

Now take out the square-root of 4 and simplify
3*4*\sqrt{4}*\sqrt{6}
3*4*(2)*\sqrt{6}
24\sqrt{6}

Thus,\ your\ answer\ is\ 24\sqrt{6}
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What is the surface area of the triangular prism?
Anna71 [15]

Answer:

72 ft²

Step-by-step explanation:

Calculate the area of each face and then sum them.

area of base = 4 × 5 = 20 ft²

area of back = 5 × 3 = 15 ft²

area of sloping face = 5 × 5 = 25 ft²

area of 2 triangular faces = 2 × \frac{1}{2} × 4 × 3 = 4 × 3 = 12 ft²

Thus

surface area = 20 + 15 + 25 + 12 = 72 ft²

6 0
3 years ago
In Quebec, 90 percent of the population subscribes to the Roman Catholic religion. In a random sample of eight Quebecois, find t
AysviL [449]

Answer:

Probability that the sample contains at least five Roman Catholics = 0.995 .

Step-by-step explanation:

We are given that In Quebec, 90 percent of the population subscribes to the Roman Catholic religion.

The Binomial distribution probability is given by;

 P(X = r) = \binom{n}{r}p^{r}(1-p)^{n-r} for x = 0,1,2,3,.......

Here, n = number of trials which is 8 in our case

         r = no. of success which is at least 5 in our case

         p = probability of success which is probability of Roman Catholic of

                 0.90 in our case

So, P(X >= 5) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8)

= \binom{8}{5}0.9^{5}(1-0.9)^{8-5} + \binom{8}{6}0.9^{6}(1-0.9)^{8-6} + \binom{8}{7}0.9^{7}(1-0.9)^{8-7} + \binom{8}{8}0.9^{8}(1-0.9)^{8-8}

= 56 * 0.9^{5} * (0.1)^{3} + 28 * 0.9^{6} * (0.1)^{2} + 8 * 0.9^{7} * (0.1)^{1} + 1 * 0.9^{8}

= 0.995

Therefore, probability that the sample contains at least five Roman Catholics is 0.995.

3 0
3 years ago
There are 25 the ratio of girls to boys is 3 to 2 how many boys and how many girls are in class
Serhud [2]

Answer:

Step-by-step explanation:

Girls:Boys = 3 : 2

Total students = 25

Girls = (3/5) * 25 = 15

Boys = (2/5) * 25 = 10

8 0
2 years ago
Help pls this is my first question on here and I need help with this pls. I will give you the brainliest and a thanks!! :)) Can
docker41 [41]

Answer:

1. 18.85in

4. 25.13m

Step-by-step explanation:

I got you

So to find the circumference of any circle we use the equation 2pi(r)

2(3.1415)(3)= 18.85in for the first one because radius is half of the diameter which is 6 so half of 6 is 3

For 4. 4m is actually the radius so just plug that into the equation 2pi(4)=25.13m

4 0
3 years ago
Solve −4(x + 10) − 6 = −3(x − 2).<br> a −40<br> b −46<br> c −52<br> d 52
12345 [234]
The answer is C. -52.
6 0
3 years ago
Read 2 more answers
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