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julia-pushkina [17]
4 years ago
12

Find the surface area of the prism.

Mathematics
1 answer:
Harman [31]4 years ago
3 0

Answer:

288 m

Step-by-step explanation:

All you do is length times width times height.

Do 6 times 16 times 3 to get your answer of 288 m

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In angle def , DF=22 and m angle f=45. Find the length of a leg. Leave your answer in simplest radical form
Yuri [45]
The figure is the right triangle DEF.

In it, E is the 90° angle, D is the corner over E (this is, DE is the vertical segment or height from the base) and F is the corner to the right of E (f, is the angle and EF is the horizontal segment or base of the triangle).

Then EF is the adjacent leg to the angle f, DE is the opposite leg to the angle f, and DF is the hypotenuse of the triangle.

Given that the angle f is 45°, you know that the triangle is isosceles (45-45-90) and then the two legs have the same length and you can use Pytagorean theorem:

DF^2 = x^2 + x^2 = 2x^2 => x^2 = (DF)^2 / 2

Taking square roots from both sides:

=> x =  DF / √2 = 22 / √2 = [22√2] / [(√2)(√2)] = [22√2] / 2 = 11√2

Remember, both legs have the same length.

Answer: 11√2
6 0
3 years ago
Wanna talk i am very bored. This school work is soooo boring
butalik [34]

Answer:

Yeah, sure.

What you wanna talk about??

5 0
3 years ago
Read 2 more answers
Volume of a rectangular prism: V= Iwh ; Solve for I
bixtya [17]
V=lwh

divide both sides by wh
\frac{V}{wh}=l
4 0
3 years ago
You want to retire on the equivalent of $50,000 per year in today's money. inflation is expected to be 3%. you will retire in 30
kicyunya [14]

$662.18 needs to be saved per month.

$90,000 now at 3% inflation will become 90000*1.03^30 after 30 years.

i.e.  $218,454 is required in retirement years (for 20 years)

Calculating the PV of these payments at 7% is calculated as below.

FV = 0

1/y = 7%

n=20; PMT = 218454; calculate PV = $2,314,305

Now we want to get $2,314,305 at the start of retirement by saving per year. Enter the following in the financial calculator to get the per month amount.

FV = 2314305; PV = 0; n= 12*30; 1/y = 12%/12; calculate PMT  = $662.18

So $662.18 needs to be saved per month.

Learn more about inflation here: brainly.com/question/8149429

#SPJ4

5 0
2 years ago
Help with finding the slope and graphing just the questions in general
irinina [24]
Start at (0,84) as your y-intercept because thats what he starts with. Then make a negative slope decreasing by 2 each time the x value is increased by 1
4 0
3 years ago
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