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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

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