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Dmitriy789 [7]
3 years ago
12

A. Find the volume of a rectangular room measuring 22.75 ft. x 30 ft. x 14 ft.

Mathematics
1 answer:
Dmitrij [34]3 years ago
3 0

Answer:

12 BTU

Step-by-step explanation:

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What is the perimeter of rectangle ABCDABCD? (1) The longer side of the rectangle is 2 meters shorter than its diagonal (2) The
Lelechka [254]

Answer:

(1) P=4a+4

(2) P=2a+4\sqrt{42}a

Step-by-step explanation:

Well, let us call longer side b, shorter side a and diagonal d. The perimeter of a rectangle is 2*(a+b). Let us write this formula as P=2*(a+b)

In (1) it is stated that b=a+2. Hence, the perimeter of the rectangle is P=2*(a+b). In terms of b, let us write (a+2). So P=2*(a+a+2)=4a+4.

In (2) it is stated that d/a=13 or d=13a. From Pythagorean theorem d^2=a^2+b^2. Hence, b^2=168a^2 or b=2\sqrt{42}a. Finally, P=2*(a+b)=2*(a+2\sqrt{42}a)=2a+4\sqrt{42}a

5 0
3 years ago
Evaluate the expression 2(5 -(1/2m)) - 7 where m =4
Zinaida [17]

Answer:

-1

Step-by-step explanation:

since m=4

we substitute in eqn which is 2(5-(1/2m))

2(5-(1/2(4)))

2(5-2)-7

=-1

5 0
4 years ago
Use the fact that the graph passes through (0,36) to find the coefficient a in f(x) = a(x + 3)(x + 1)(x - 2)(x – 3) a=
Ivan

The given equation is

f(x) =  a(x + 3)(x + 1)(x - 2)(x-3)

It is given that , when x=0, f(x)=36

Substituting these values

36 =  a(0 + 3)(0 + 1)(0 - 2)(0-3)
\\
36 = a(3)(1)(-2)(-3)
\\
36 = 18a
\\
a =2

So the  missing value of a is 2 .

4 0
4 years ago
Read 2 more answers
At which values of x does the function F(x) have a vertical asymptote? Check all that apply.
Anton [14]

You get vertical asymptotes because the x-value causes you to try to divide by 0.  

If you look at the denominator, the x-values of 0, 1, and -5 all will make the denominator equal to 0, making the whole function explode.  

    You find these by solving  3x(x-1)(x+5)=0.

That's your answer: 0, 1, and -5

3 0
3 years ago
The image shows a geometric representation of the function f(x) = x2 + 2x + 3 written in standard form. What is this function wr
Black_prince [1.1K]
The vertex form is f(x)=(x+1)^2 +2
8 0
3 years ago
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