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tino4ka555 [31]
3 years ago
11

The rectangular prism has a volume of 80 cubic centimeters. If the length is 5 centimeters and the width is 8 centimeters, what

is the height? (Picture below)
(MAKE SURE TO CHOOSE ONE)

a. 3200 cm
b. 4 cm
c. 20 cm
d. 2 cm
e. 40 cm
f. Not enough information is given

Mathematics
1 answer:
Lisa [10]3 years ago
8 0

Answer:

d. 2 cm

Step-by-step explanation:

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Two investments totaling $21,000 produce an annual income of $870. One investment yields 4% per year, while the other yields 10%
Citrus2011 [14]

Answer:

The amount invested at 4% is $20,500 and the amount invested at 10% is $500

Step-by-step explanation:

Let

x -----> the amount invested at 4%

(21,000 -x) ----> the amount invested at 10%

we know that

The interest of the amount invested at 4% plus the interest of the amount invested at 10% must be equal to $870

4\%=4/100=0.04

10\%=10/100=0.10

so

0.04(x)+0.10(21,000-x)=870

Solve for x

0.04x+2,100-0.10x=870

0.10x-0.04x=2,100-870

0.06x=1,230

x=\$20,500

21,000-x=\$500

therefore

The amount invested at 4% is $20,500 and the amount invested at 10% is $500

7 0
3 years ago
Which system of linear inequalities is graphed?
adoni [48]

Answer:

y is greater than or equal to 3x-2

x - 1/2 is less than or equal to 2

Step-by-step explanation:

the choices aren't shown, but I answered based on the graph.

6 0
4 years ago
Read 2 more answers
What is nine? Huhhhhhhhhhhh?
grigory [225]

Step-by-step explanation: The base of the power in the original equation becomes the base of the log. So we have ^{log}3.

Next, the exponent in the original equation goes on the other side of the equation and finally, the result in the original equation goes inside the log.

So we have ^{log} 3 9 = 2 which is 3² = 9 written in logarithmic form.

This can also be switched around to read 2 = ^{log} 3 = 9.

So the first choice will be your answer.

My work is also show in the image attached,

I just didn't switch it.

7 0
4 years ago
Read 2 more answers
Anthony writes a numerical expression 2+10x3-2 and says that the expression has a value of 34. Is Anthony correct? Explain your
lapo4ka [179]

Answer:

Anthony is incorrect

According to the order of operations(PEMDAS), you must first multiply 10 × 3

which equals 30, then you add 2, which equals 32, finally you subtract 2, which brings you back to 30

10 × 3 = 30

2 + 30 - 2 = 30

4 0
4 years ago
Find The art length of a sector with an area of 8 square units.
frez [133]
\bf \textit{area of a sector of a circle}\\\\
A=\cfrac{\theta \pi r^2}{360}\quad 
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad degrees\\
------\\
A=8\\
r=4
\end{cases}\implies 8=\cfrac{\theta \pi 4^2}{360}\implies \cfrac{8\cdot 360}{4^2\pi }=\theta 
\\\\\\
\cfrac{2880}{16\pi }=\theta \implies \boxed{\cfrac{180}{\pi }=\theta }\\\\
-------------------------------\\\\

\bf \textit{arc's length}\\\\
s=\cfrac{\theta \pi r}{180}\quad 
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad degrees\\
------\\
\theta =\frac{180}{\pi }\\
r=4
\end{cases}\implies s=\cfrac{\frac{180}{\underline{\pi} }\underline{\pi} \cdot 4}{180}\implies s=\cfrac{\underline{180}\cdot 4}{\underline{180}}
\\\\\\
\boxed{s=4}

if you do a quick calculation on what that angle is, you'll notice that it is exactly 1 radian, and an angle of 1 radian, has an arc that is the same length as its radius.

that's pretty much what one-radian stands for, an angle, whose arc is the same length as its radius.
6 0
3 years ago
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