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amid [387]
3 years ago
14

Use the expression (a + b)(c - d) + 9e to find an example of each kind of expression

Mathematics
1 answer:
Minchanka [31]3 years ago
7 0

Answer:

Difference: c-d

variable: a, b, c, d, e.

coefficient: 9

Step-by-step explanation:

Difference is c - d

Variables can be dependent or independent: a, b, c, d and d

The coefficient is a number or other known factor (a constant) by which another number or factor (a variable) is multiplied: 9

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Find the island height of a pyramid with a volume of 432 ft^3 if the base is a square with a side length of 12 ft. Round to the
dmitriy555 [2]

So the picture below shows what the slant height is. It also shows that the pyramid can form a right triangle, in which we can use the pythagorean theorem, which is leg^2+leg^2=hypotenuse^2 .

But first, we have to find the height of this pyramid. The volume formula for a square pyramid is A=\frac{lwh}{3} . Since we know its a square pyramid, the length and width are going to be the same (12 ft), and we know that the volume is 432 ft^3. Using this info, we can solve for the height:

432=\frac{12*12*h}{3}\\ 1296=12*12*h\\ 1296=144*h\\ 9=h

So now we can use the pythagorean theorem (remember to split the 12 by 2, since the right triangle has only half the length of the base). Our equation will be solved as such:

6^2+9^2=s^2\\ 36+81=s^2\\ 117=s^2\\ 10.8=s

In short, the slant height is 10.8 ft.

3 0
3 years ago
Can i get a step by step for this?
jonny [76]

Answer:

  • x = 85°

Step-by-step explanation:

<u>Sum of interior angles of any triangle is 180°:</u>

  • 52° + 43° + x = 180°
  • 95° + x = 180°
  • x = 180° - 95°
  • x = 85°
8 0
3 years ago
Solve the following equation. show work. x^2 + 10x = -25
SVEN [57.7K]

Step-by-step explanation:

x^2 + 10x = -25

x^2 + 10x + 25 = 0

(x+5)^2=0

x=-5

6 0
3 years ago
A body builder consumed 4,400 calories yesterday. Today, he consumed 3,600 calories . What is the percent decrease in number of
IgorC [24]

Answer:

it's about 18 percent decrease**** so 20 percent to round up

Step-by-step explanation:

5 0
3 years ago
Plz help I'm just having a brain fart right now<br><br>​
Wittaler [7]

Answer:

x=11

Step-by-step explanation:

For extra help the second answer is: 7a(3-a)

4 0
3 years ago
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