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3 years ago

6

A right rectangular prism has a length of 7 centimeters, a width of 5 centimeters, and a height of 4 centimeters. What is the vo

lume of the prism? Enter your answer in the box.
|____|cm³

1 answer:

Sever21 [200]3 years ago

5 0

The answer would be 140 cm cubed

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How did the first line get to the second line??? (Check Picture)

ddd [48]

Step-by-step explanation:

$15( \frac{11\pi}{6} ) \\ 15 \div 3 = 5 \\ 6 \div 3 = 2 \\ = 5( \frac{11\pi}{2} )$

$11 \times 5 \\ = \frac{55\pi}{2}$

8 0

3 years ago

Solve system by elimination<br> y=x^2<br> y=x+2<br> SHOW YOUR WORK

Dimas [21]

We have that
y=x²----> equation 1<span>
y=x+2-----> equation 2

multiply equation 1 by -1
-y=-x</span>²

add equation 1 and equation 2
-y=-x²
y=x+2
------------
0=-x²+x+2-------------> -x²+x+2=0-----> x²-x-2=0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

(x²-x)=2
<span>Complete the square. Remember to balance the equation by adding the same constants to each side
</span>(x²-x+0.5²)=2+0.5²

Rewrite as perfect squares

(x-0.5)²=2+0.5²
(x-0.5)²=2.25-----> (x-0.5)=(+/-)√2.25-----> (x-0.5)=(+/-)1.5
x1=1.5+0.5-----> x1=2
x2=-1.5+0.5---- > x2=-1

for x=2
y=x²----> y=2²----> y=4
the point is (2,4)

for x=-1
y=x²----> y=(-1)²---> y=1
the point is (-1,1)

the answer is
the solution of the system are the points
(2,4) and (-1,1)

3 0

3 years ago

The midsegment of a trapezoid is always parallel to each base true or false

Deffense [45]

Answer:

True

Step-by-step explanation:

we know that

The <u><em>Trapezoid Mid-segment Theorem</em></u> states that : A line connecting the midpoints of the two legs of a trapezoid is parallel to the bases, and its length is equal to half the sum of lengths of the bases

see the attached figure to better understand the problem

EF is the mid-segment of trapezoid

EF is parallel to AB and is parallel to CD

EF=(AB+CD)/2

so

The mid-segment of a trapezoid is always parallel to each base

therefore

The statement is true

8 0

3 years ago

Consider the enlargement of the complex figure.

Vitek1552 [10]

Answer:

The scale factor is 3 and Divide by 24 to find b's length.

Step-by-step explanation:

just put in the answer lol.

6 0

3 years ago

Solve for n 50 points <br><br> a=p(1+r/n)^rn

Andreyy89

Answer:

$n = \frac{r}{\sqrt[nt]{\frac{a}{p}} -1 }$

Step-by-step explanation:

$a=p(1+\frac{r}{n} )^{nt}$

$\frac{a}{p} =(1+\frac{r}{n} )^{nt}$

$\sqrt[nt]{\frac{a}{p}} =(1+\frac{r}{n} )$

$\sqrt[nt]{\frac{a}{p}} -1 =(\frac{r}{n} )$

$n = \frac{r}{\sqrt[nt]{\frac{a}{p}} -1 }$

[ Do not confuse, as there are 2 n's, one in subject and another as power. We can never make the power or in a root, the subject. In order to solve for n, we have to make the character "n", the subject. ]

8 0

2 years ago