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frutty [35]
3 years ago
8

How you use the Pythagorean theorem in 3D.

Mathematics
1 answer:
Olin [163]3 years ago
4 0

Answer:

If the base of the prism has dimensions x and y, and the diagonal along the base is represented by c, then x² + y² = c². The longest diagonal in the solid, s, is the hypotenuse of the triangle formed by the sides c and the height of the solid, z. So we know that, c² + z² = s².

Step-by-step explanation:

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Solve this equation and explain the steps<br> 9-2x= 7x
Hunter-Best [27]

Answer:

x = 1

Step-by-step explanation:

Step 1: Write equation

9 - 2x = 7x

Step 2: Solve for <em>x</em>

<u>Add 2x on both sides:</u> 9 = 9x

<u>Divide both sides by 9:</u> x = 1

Step 3: Check

<em>Plug in x to verify it's a solution.</em>

9 - 2(1) = 7(1)

9 - 2 = 7

7 = 7

3 0
3 years ago
There are 9 plates. Each plate has 15 cups on it. Each cup has 10 chocolate balls. How many chocolate balls are in total?
liq [111]

9 plates x 15 cups = 135 total cups.

135 cups x 10 chocolate balls = 1,350 total.

6 0
3 years ago
Bobby has a bag containing 2 sizes of marbles. The big ones weigh 10 g and the small ones weigh 3 g. If there are three times as
Vikentia [17]

Answer:

There are 19 big marbles

Step-by-step explanation:

10a + 3b = 209

a = 3b

3b = 3b

10a + a = 209

11a = 209

a = 209/11

a = 19

8 0
3 years ago
Alice Correa bought three yards of cloth to make a dress. The cloth was on sale for $1.93 per yard.
Ray Of Light [21]
Since the unit rate is $1.93 per yard, you need to multiply the number of yards by 1.93. So 1.93 x 3 = 5.79. Next, you convert 5% to a decimal, which is 0.05. Now, multiply 5.79 by 0.05, which is about 0.29. Finally, add 0.29 to 5.79, giving you the answer of 6.08. Alice payed $6.08; D.
4 0
3 years ago
school spirit club wants to raise money by selling t-shirts. one local company charges a fixed fee of $75 for creating the desig
Kazeer [188]

Answer:

The profit = $(3x - 75) where x = number of t-shirts sold

Step-by-step explanation:

School spirit club wants to raise money by selling t-shirts. one local company charges a fixed fee of $75 for creating the design and $5 for each shirt that they print.

We have to find the club's income if they sell each t-shirt for $8.

Let the number of t-shirts that the club sell be equal to x.

So the cost of making x t-shirts = 75 + 5x

If the club sells x t-shirts , then the money they earn = 8x

Profit = selling price - cost price

          = 8x - (75 + 5x)

          = $(3x - 75)

The club also needs to sell at least 25 t-shirts to make a profit and from then on makes a profit of $3 on each t-shirt they sell.

6 0
4 years ago
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