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Alecsey [184]
3 years ago
8

1.) Use the formula SA=6s², where SA is the surface area and s is the edge length of the cube, to solve this problem. The cube h

as an edge length of 4 in. What is the surface area?
2.) Faye bought a rug in the shape shown.
What is the area of the rug?

A trapezoid having to dotted lines going down to the base, the height is 6 for one of them. B2= 3, 6 and 3 are at the bottom of the trapezoid making it the base. Though no B1.

3.) Use the formula V=s³, where V is the volume and s is the edge length of the cube, to solve this problem.
What is the volume of the cube?
Enter your answer as a mixed number in simplest form.
(The cube shows 2 1/2)
Mathematics
1 answer:
Digiron [165]3 years ago
4 0
1)
To find the Surface Area of a cube you do

SA = 6 x a^{2} Where [tex a^{2} [/tex] is the side you know.

For this problem you take SA = 6 x 4^{2}

SA = 6 x 4 x 4

SA = 6 x 16

SA = 96
------------------------------------------------------------------------------------------------------
2)
I cannot help you on this, I have never been good with doing trapezoids.
------------------------------------------------------------------------------------------------------
3)
Volume = s^{3}

Volume = 2\frac{1}{2} ^ 3

Volume = 15\frac{5}{8}

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tangare [24]

Answer:

624

Step-by-step

480+(480(30%))

=624

3 0
2 years ago
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calculate the simple interest and compound interest on ₹5000 for 2 years at 10% per annum. how much more is the compound interes
natulia [17]

Answer:

Simple: 6000

Compound: 6050

Difference: 50

Step-by-step explanation:

Simple interest formula: A = P(1+rt), where A = final amount, P = initial amount, r = rate, and t = time. Plug our values in to get

A = 5000(1+10% * 2)

convert 10% to a decimal by dividing by 100 and plug that in

10% = 0.1

5000(1+0.1*2) = 5000(1.2) = A = 6000

Compound interest formula: A = P(1+r)^t

Plug our values in

5000(1+0.1)^2 = 6050

Difference = 6050 - 6000 = 50

7 0
2 years ago
Write (-3, -5) (-1, -19) in point slope form
stiv31 [10]

Answer:

(y + 5) = -7(x + 3)

Step-by-step explanation:

Point Slope Form:  (y - y1) = m(x - x1)

<u>Step 1:  Find Slope</u>

m = \frac{y2 - y1}{x2 - x1}

m = \frac{-19 - (-5)}{-1 - (-3)}

m = \frac{-19 + 5}{-1 + 3}

m = \frac{-14}{2}

m = -7

<u>Step 2:  Put into point slope form</u>

Point Slope Form:  (y - y1) = m(x - x1)

(y - (-5)) = -7(x - (-3))

(y + 5) = -7(x + 3)

8 0
3 years ago
When class 11Y1 found that their favourite teacher, Mr Musson, was leaving they decided to organise a party for him. Lewis, one
TEA [102]

Answer: £14.94

Step-by-step explanation:

36 cartons at £1.56 for 4 = 14.04

2 cartons at £45p = 0.90

6 0
3 years ago
A survey reported that 5% of Americans are afraid of being alone in a house at night. If a random sample of 20 Americans is sele
liq [111]

Answer:

5.96% probability that exactly 3 people in the sample are afraid of being alone at night.

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are afraid of being alone at night, or they are not. The probability of a person being afraid of being alone at night is independent of any other person. 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.

5% of Americans are afraid of being alone in a house at night.

This means that p = 0.05

If a random sample of 20 Americans is selected, what is the probability that exactly 3 people in the sample are afraid of being alone at night.

This is P(X = 3) when n = 20. So

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

P(X = 3) = C_{20,3}.(0.05)^{3}.(0.95)^{17} = 0.0596

5.96% probability that exactly 3 people in the sample are afraid of being alone at night.

5 0
3 years ago
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