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Elenna [48]
3 years ago
10

What is the total surface area??

Mathematics
1 answer:
Olenka [21]3 years ago
4 0

Answer:

216

Step-by-step explanation:

Use geometric formulas to solve for each individual SIDE of the triangular prism

TOP and BOTTOM TRIANGLE sides:

  • \frac{ab}{2}
  • \frac{6(8)}{2}  <--- times 2 because we have TWO identical triangle sides

RIGHT RECTANGULAR side from our perpsective:

  • LxW
  • 8(7)

FRONT RECTANGULAR side:

  • LxW
  • 7(6)

BACK RECTANGULAR side:

  • LxW
  • 7(10)

Now you add all of those formulas together for your answer.

\frac{6(8)}{2} + \frac{6(8)}{2} + 8(7)  + 7(10) + 7(6)

= 216

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M3L3
eduard

The area of the David's pantry = 10 square feet.

The length of the pantry = 5 feet.

<h3>Define the term area of the rectangle?</h3>
  • The territory inhabited by a rectangle inside its 4 sides or limits is known as its area.
  • The area of such a rectangle is determined by its sides. Essentially, the formula calculating area is equivalent to the product of the rectangle's length and breadth.

For the given question.

  • David's kitchen is 60 square feet in size.
  • The kitchen is six times the size of the living room.

Thus,

Area of kitchen  = 6 x area of the pantry

60 = 6 x area of the pantry

area of the pantry = 60 / 6 = 10 square feet.

Area of the pantry = length x breadth

10 = length x 2

length = 10/2 = 5 feet.

Thus, the length of the pantry is found as the 5 feet.

To know more about the area of the rectangle, here

brainly.com/question/16239445

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6 0
1 year ago
Solve the proportion for x
navik [9.2K]

Step-by-step explanation:

72/64=x/8

=> x = (72×8)/64

=> x = 9.

hope this helps you.

5 0
3 years ago
Read 2 more answers
A man invests his savings in two accounts, one paying 6% and the other paying 10% simple interest per year. He puts twice as muc
Masteriza [31]

Let x represent amount invested in the higher-yielding account.

We have been given that a man puts twice as much in the lower-yielding account because it is less risky. So amount invested in the lower-yielding account would be 2x.

We are also told that his annual interest is $6600 dollars. We know that annual interest for one year will be principal amount times interest rate.

I=Prt, where,

I = Amount of interest,

P = Principal amount,

r = Annual interest rate in decimal form,

t = Time in years.

We are told that interest rates are 6% and 10%.

6\%=\frac{6}{100}=0.06

10\%=\frac{10}{100}=0.10

Amount of interest earned from lower-yielding account: 2x(0.06)=0.12x.

Amount of interest earned from higher-yielding account: x(0.10)=0.10x.

0.12x+0.10x=6600

Let us solve for x.

0.22x=6600

\frac{0.22x}{0.22}=\frac{6600}{0.22}

x=30,000

Therefore, the man invested $30,000 at 10%.

Amount invested in the lower-yielding account would be 2x\Rightarrow 2(30,000)=60,000.

Therefore, the man invested $60,000 at 6%.

8 0
3 years ago
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Answer: Z=5

Step-by-step explanation:

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GREYUIT [131]

Answer:

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Step-by-step explanation:

The equation for a linear graph is usually written in the following format...

y = mx + b

Where m would be the slope, usually referring to rise over run and b would be the y-intercept (where the line crosses the y-axis). From the graph, we can see that the line crosses the y-axis at point 3 so b would be 3. The graph also shows us that for every 1 value that the line rises it moves to the right 2 values. Therefore, the slope would be 1/2. Using these values we can create the following equation...

y = \frac{1}{2}x + 3

7 0
3 years ago
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