All categories

3 years ago

The bases of a right prism are rhombi with area A = 44 cm2. The height of the prism is h=2.3 dm. Find the volume V of the prism.

1 answer:

8 0

The volume is 1012 cm³.

The volume of a right prism is found by multiplying the area of the base and the height. First we need to convert the height to centimeters.

1 dm = 10 cm
2.3 dm = 2.3(10) = 23 cm

Now we have 44(23) = 1012 cm³

You might be interested in

Vocabulary Check<br> Write the definition of each.<br> 5. bar graph<br> 6. scale

ra1l [238]

Bar chart definition: a diagram in which the numerical values of variables are represented by the height or length of lines or rectangles of equal width.

4 0

2 years ago

Can anyone help me? Which function is graphed on the right?

Kazeer [188]

<h2>Answer:</h2>

$y=2^{\left(x-2\right)}+3$

<h2>Step-by-step explanation:</h2>

To solve this problem, we need to start with the parent function of the exponential function, which is $f(x)=a^x$ , where $a$ is the base. In our problem, $a=2$ , so our parent function here is $y=2^x$ . Then, we need to perform some transformations to our parent function. Thus:

1. Vertical shrink:

A vertical shrink is a nonrigid transformation because the graph of the function get a distortion in the shape, so this transformation is as follows:

$g(x)=cf(x)$

where $c$ in this problem equals 0.25 because:

$y=0.25(2^x) \\ \\ y=\frac{1}{4}(2^x) \\ \\ y=\frac{2^x}{2^2} \\ \\ y=2^{(x-2)}$

2. Vertical shift:

The graph of the function $y=2^{(x-2)}$ get a vertical shift given by:

$y=2^{(x-2)}+3$

So the graph is shifted 3 units up. So the result is the graph shown above.

7 0

3 years ago

Read 2 more answers

|13x-4|+12 < 56<br> Anybody know this cuz I do

Ronch [10]

Answer:

$\displaystyle x\in \left(-\frac{40}{13},\frac{48}{13}\right)$

Step-by-step explanation:

<u>Inequalities with Absolute Value</u>

We must recall the following rule:

$\text{If }|M|0$

Then:

$-N$

We have the following inequality:

$|13x-4|+12 < 56$

Subtracting 12:

$|13x-4|< 56-12$

$|13x-4|< 44$

Applying the rule:

$-44$

Adding 4:

$-44+4$

Operating:

$-40$

Dividing by 13:

$\displaystyle -\frac{40}{13}$

The solution expressed in interval form is:

$\boxed{\displaystyle x\in \left(-\frac{40}{13},\frac{48}{13}\right)}$

8 0

3 years ago

use number sense Duane and Mick are saving their money to build a tree house.Duane adds $5. ti their piggy bank every other week

tangare [24]

All you have to do for this is count every week the amount of money Duane and Mick earn. We'll start with $5 from Duane and $2 from Mick on the first week. The second week, only Mick gives $2, and so on. To earn $45, the two boys will have worked 10 weeks. I hope this helped! :)

6 0

3 years ago

Read 2 more answers

about 50% of the population of Alaska lives within a 50 mile radius of anchorage. if the total area of Alaska is 586,412 mi.² ab

vredina [299]

So since it is a 50 mile radius around one point, then it makes a circle. You need to find the are of the circle to find out how much land that is. you use the equation A= $\pi$ r². Plug 50 in for r and you get A= $\pi$ 50². 50²=2500. Then you multiply that by 3.14 (rounded number of pi) and you get 7850. So, now you have the total land area, now you need the percent of the total Alaskan land. To do that, you make a proportion. $\frac{7850}{586,412}$ = $\frac{x}{100}$ Then, you cross multiply and get 785,000=586,412x. To find out what x is, you divide both sides by 586,412 and get x=1.3386 % . Hope this helps!!

7 0

3 years ago

Read 2 more answers