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3 years ago

Solve for the surface area.

Mathematics

2 answers:

Sergio039 [100]3 years ago

6 0

There are two triangles.

Area of a triangle = 1/2 x 10 x 9 = 45 square in.

45 x 2 = 90 square inches

One side is 9 x 9 = 81 square inches.

One side ix 10 x 9 = 90 square inches.

One side = 9 x 13.5 = 121.5 square inches.

Total surface area = 90 + 81 + 90 + 121.5 = 382.5 square inches.

Feliz [49]3 years ago

3 0

Answer:

382.5

Step-by-step explanation:

9x10=90

9x9=81

13.5x9=121.5

9x10=90

180+81+121.5= 382.5

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Two friends sold many pieces of furniture and made $1550 during their garage sale. They had fifteen more $10 bills than $50 b

Novosadov [1.4K]

Answer:

The number of $ 10 bills is 37, the number of $ 20 is 6 and the number of $ 50 bills is 22.

Step-by-step explanation:

Let n₁ = number of $ 10 bills,

Let n₂ = number of $ 20 bills and

Let n₃ = number of $ 50 bills

Given that 10n₁ + 20n₂ + 50n₃ = 1550 (1)

Also, since we have fifteen more $10 bills than $50 bills, n₁ = n₃ + 15 (2)

and we have 4 more than three times as many $20 bills as $50 bills. n₃ = 3n₂ + 4. (3)

substituting equations (2) and (3) into (1), we have

10(n₃ + 15) + 20n₂ + 50n₃ = 1550

expanding the bracket, we have

10n₃ + 150 + 20n₂ + 50n₃ = 1550

collecting like terms, we have

60n₃ + 150 + 20n₂ = 1550

inserting equation (3), we have

60(3n₂ + 4) + 150 + 20n₂ = 1550

expanding the bracket, we have

180n₂ + 240 + 150 + 20n₂ = 1550

collecting like terms, we have

200n₂ + 390 = 1550

subtracting 390 from both sides, we have

200n₂ = 1550 - 390

200n₂ = 1160

dividing both sides by 200, we have

n₂ = 1160/200

n₂ = 5.8

n₂ ≅ 6 since it cannot be a fraction.

Substituting this into (3), we have

n₃ = 3n₂ + 4 = 3(6) + 4 = 18 + 4 = 22

substituting n₃ into (2), we have

n₁ = n₃ + 15 = 22 + 15 = 37

So, the number of $ 10 bills is 37, the number of $ 20 is 6 and the number of $ 50 bills is 22.

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3 years ago

Wich rule would result in a translation of 2 units left and 3 units up?

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Answer:

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Step-by-step explanation:

y axis and x axis

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What is the product?<br> 3a(89-65)

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Step-by-step explanation:

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4 years ago

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Write the following number as ratios of integers

Grace [21]

We're going to "cut" the repeating part here in a few steps. First, we're going to put the number in a variable:

$x=-2.0\overline{42}$

Next, to get rid of the negative, we can multiply either side by -1 to get

$-x=2.0\overline{42}$

Now, we won't actually use this -x directly; instead, we want to create two new values, one by multiplying either side by 10:

$-10x=20.\overline{42}$

and the other by multiplying either side by 1000:

$-1000x=2042.\overline{42}$

Next, we can get rid of the repeated part of the number by subtracting -10x from -1000x:

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And finally, we can divide either side of the equation by -990 to find that

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3 years ago

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Step-by-step explanation:

You can see a black dot in the zero, and a black dot in the 8.

So those are the extremes of our set and are included in the set of solutions, we have that the set is defined by:

0 ≤ x ≤ 8.

Now we want to construct an absolute value equation such that the set {0 ≤ x ≤ 8} is the set of solutions.

The first step is to find the middle value of that set:

The middle value is equal to half of the difference between the extremes:

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Now we know the middle point, so we can write the equation:

Ix - mI ≤ m

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That is our inequality.

Where the "equal" part of ≤ is for the values x = 0 and x = 8.

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4 years ago

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