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Lina20 [59]
2 years ago
9

Amy gets a new kennel for her dog. A sketch of the kennel is shown here. If the roof is in the shape of a triangular prism (bott

om face included), what is the surface area of the roof of the kennel, including the bottom face?
60.24 square feet



58.96 square feet



53.96 square feet



51 square feet
Mathematics
2 answers:
rosijanka [135]2 years ago
7 0
There is no image but i have seen a similar question which the answer to was 51 square feet
soldi70 [24.7K]2 years ago
4 0

Answer:

58.96 square feet

Step-by-step explanation:


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Laura owes $18,000 on her student loans. The interest rate on the bank loan is 2.5% and the interest rate on the federal loan is
Llana [10]

Answer:

The principal of the bank loan is $4,000

The principal of the federal lone is $14,000

Step-by-step explanation:

* Lets explain how to solve the problem

- Laura owes $18,000 on her student loans

- The interest rate on the bank loan is 2.5%

- The interest rate on the federal loan is 6.9%

- The total amount of interest she paid last year was $1,066

* Assume that the principle of the bank loan is $x and The principal of

 the federal loan is $y

∵ Her loan is 18,000

∴ x + y = 18,000 ⇒ (1)

- The interest is I = PRT, where P is the principal, R is the rate of interest

  in decimal ant is the time

# <u><em>The bank lone</em></u>

∵ P = $x

∵ R = 2.5/100 = 0.025

∵ T = 1

∴ <em>The interest of the bank lone</em> = x(0.025)(1) = <em>0.025 x</em>

# <u><em>The federal lone</em></u>

∵ P = $y

∵ R = 6.9/100 = 0.069

∵ T = 1

∴ <em>The interest of the federal lone</em> = 9(0.069)(1) = <em>0.069 y</em>

- The total interest is the sum of the interest of the bank lone and the

  interest of the federal loan

∵ The total interest is $1,066

∴ 0.025 x + 0.069 y = 1,066 ⇒ (2)

* We have system of equations

- Multiply equation (1) by -0.025 to eliminate x

∴ -0.025 x - 0.025 y = -450 ⇒ (3)

- Add equations (2) and (3)

∴ 0.044 y = 616

- Divide both sides by 0.044

∴ y = 14,000

- Substitute value of y in equation (1) to find x

∴ x + 14000 = 18000

- Subtract 18000 from both sides

∴ x = 4000

∵ x represents the principal of the bake loan and y represents the

  principal of the federal lone

* The principal of the bank loan is $4,000

* The principal of the federal lone is $14,000

3 0
2 years ago
Assuming that the Chinese population continues to grow at the same rate, how many years until the population reaches 1.5 billion
faltersainse [42]

Answer:

29 years

Step-by-step explanation:

The population of the Chinese people is 1.3 bn, and they grow at a rate of 0.49% per year. To get the number of years it requires to reach 1.5 bn, we use this method

after x years, the population will be

1.3 * 1.0049^x

so you just need to solve

1.3 * 1.0049^x = 1.5

1.0049^x = 1.5/1.3

x log 1.0049 = log(1.5/1.3)

x = log(1.5/1.3)/log(1.0049)

x = 0.062 / 0.002122

x = 29.25 years

Therefore, at the rate of 0.49%, the Chinese population of 1.3bn needs 29 years to clock 1.5 bn

8 0
2 years ago
Adiya said that the first step to solving the quadratic equation x2 + 6 = 20x by completing the square was to divide 6 by 2, squ
kicyunya [14]
Adiya’s method is not correct. To form a perfect square trinomial, the constant must be isolated on one side of the equation. Also, the coefficient of the term with an exponent of 1 on the variable is used to find the constant in the perfect square trinomial. Adiya should first get the 20x term on the same side of the equation as x2. Then she would divide 20 by 2, square it, and add 100 to both sides. 
6 0
2 years ago
Read 2 more answers
Brian buys a computer for £4300. It depreciates at a rate of 3% per year. How much will it be worth in 6 years? Give your answer
aalyn [17]

Answer:

3526

Step-by-step explanation:

4300×3%=129

129×6=774

4300_774= 3526

4 0
2 years ago
Read 2 more answers
Which statements are true about the graph of y ≤ 3x + 1 and y ≥ –x + 2? Check all that apply. 1.The slope of one boundary line i
zloy xaker [14]

Answer:

2.Both boundary lines are solid.

3.A solution to the system is (1, 3)

5.The boundary lines intersect.

Step-by-step explanation:

we have

y\leq 3x+1 ----> inequality A

The solution of the inequality A is the shaded area below the solid line y=3x+1

The slope of the solid line is 3

The point (1,3) is  a solution of inequality A (lie in the shaded area of the solution set)

y\geq -x+2 ----> inequality B

The solution of the inequality B is the shaded area above the solid line y=-x+2

The slope of the solid line is -1

The point (1,3) is a solution of inequality B (lie in the shaded area of the solution set)

The solution of the system of inequalities is the shaded area between the two solids lines

see the attached figure

<u><em>Verify each statement</em></u>

1.The slope of one boundary line is 2

The statement is False

2.Both boundary lines are solid.

The statement is True

3.A solution to the system is (1, 3)

The statement is True

4.Both inequalities are shaded below the boundary lines

The statement is False

5.The boundary lines intersect.

The statement is True

The intersection point is (0.25,1.75)

see the attached figure

7 0
2 years ago
Read 2 more answers
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