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faust18 [17]
2 years ago
7

Use a net to find the surface area of the right triangular prism shown:

Mathematics
1 answer:
erma4kov [3.2K]2 years ago
3 0

Answer:

256 ft²

Step-by-step explanation:

Net comprises: 2 equal triangles, 2 equal rectangles and 1 smaller rectangle

Area of a triangle = 1/2 x base x height

⇒ area of one triangle = 1/2 x 10 x 7 = 35 ft²

Area of a rectangle = width x length

⇒ area of larger rectangle = 6 x 12 = 72 ft²

⇒ area of smaller rectangle area = 6 x 7 = 42 ft²

⇒ Total area = (2 x 35) + (2 x 72) + 42 = 256 ft²

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Write the set builder notation {8}
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Step-by-step explanation:

\{8 \} =  \{x : x = n, \: n \in \:N, \:   \: 7 < n > 9 \: \}

5 0
4 years ago
The range of the function f(x) = x + 5 is {7, 9}. What is the function’s domain?
Delicious77 [7]

Answer:

Step-by-step explanation:

8 0
3 years ago
Approximately 14 percent of the population of Arizona is 65 years or older. A random sample of five persons from this population
Andreas93 [3]

Answer:

A)0.8533

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are 65 or older, or they are not. The probability of a person being 65 or older 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.

14 percent of the population of Arizona is 65 years or older.

This means that p = 0.14

A random sample of five persons from this population is taken.

This means that n = 5

The probability that less than 2 of the 5 are 65 years or older is :

P(X < 2) = P(X = 0) + P(X = 1)

In which

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

P(X = 0) = C_{5,0}.(0.14)^{0}.(0.86)^{5} = 0.4704

P(X = 1) = C_{5,1}.(0.14)^{1}.(0.86)^{4} = 0.3829

P(X < 2) = P(X = 0) + P(X = 1) = 0.4704 + 0.3829 = 0.8533

So the correct answer is:

A)0.8533

3 0
3 years ago
a college loan of 15000 has a 3% annual simple interest rate what is the interest the student will pay after 5 years
inessss [21]

Answer:

Interest = $ 90000

Step-by-step explanation:

Given, Principal= $15000

Rate = 3%

Time = 5 years

Interest = P × R × T/100

Therefore, Interest = 15000 × 3 × 5/100

(dividing 100 by 5 to get 20)

= 15000 × 3 × 20

= 90000

if it helps don't forget to like and mark me down

7 0
3 years ago
I need help with this math question. What is the Area of this shape?
zubka84 [21]

Answer:

A=174

Step-by-step explanation:

Step 1: Separate the figure into two separate shapes, a triangle and a square

Step 2: Find the dimensions of the triangle and square.

Square - l=12 w=12

Triangle - h=5, b=12. (The height was found by subtracting the length of the square (12) from the total length (17).

Step 3: Solve by using formulas

A=(5)(12)/2=30

A=12*12=144

Step 4: Add the parts together

144+30=174

A=174

5 0
3 years ago
Read 2 more answers
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