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3 years ago

Which could be the area of one face of the rectangular prism? Select three options.

Mathematics

1 answer:

antiseptic1488 [7]3 years ago

8 0

Answer:

44cm^2

Step-by-step explanation:

We work with area for rectangles using the face of the longer length first as this is the awkward length the perpendicular side to the easy calculation of the square and sits perpendicular to the square.

We choose the longer length and plug in and choose one of the two calculation answers.

11 x 4 = 44

11 x 6 = 66

We see the answer is 44cm^2, so we choose this one.

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I would also love an explanation!

boyakko [2]

Answer:you go up one over three

Step-by-step explanation:

6 0

3 years ago

A page should have perimeter of 42 inches. The printing area within the page

Tamiku [17]

Overall dimensions of the page in order to maximize the printing area is page should be 11 inches wide and 10 inches long .

Step-by-step explanation:

We have , A page should have perimeter of 42 inches. The printing area within the page would be determined by top and bottom margins of 1 inch from each side, and the left and right margins of 1.5 inches from each side. let's assume width of the page be x inches and its length be y inches So,

Perimeter = 42 inches

⇒ $2(x+y) = 42\\x+y = 21\\y = 21-x$

width of printed area = x-3 & length of printed area = y-2:

area = $length(width)$

$area = (x-3)(y-2)\\area = (x-3)(21-x-2)\\area = (x-3)(19-x)\\area = -x^{2} + 22x -57$

Let's find $\frac{d(area)}{dx}$ :

$\frac{d(area)}{dx}$ = $\frac{d(-x^{2}+22x-57)}{dx} = -2x +22$ , for area to be maximum $\frac{d(area)}{dx}$ = 0

⇒ $-2x+22 = 0\\2x =22\\x=11 inches$

And ,

$y = 21-x\\y = 21-11\\y = 10 inches$

∴ Overall dimensions of the page in order to maximize the printing area is page should be 11 inches wide and 10 inches long .

7 0

3 years ago

Please show your work

jarptica [38.1K]

Answer:

x ≈ 6.71

Step-by-step explanation:

a²+b²=c²

a=3, b=6, c=x

3²+6²=c²

9+36=c²

45=c²

c=√45

c≈6.71

4 0

3 years ago

Read 2 more answers

The odds of winning a game of horse in basketball is 3 to 5 against your opponent. what is the probability that you win the game

Marat540 [252]

To find your probability of winning, you will convert the fraction 3/5 to a percent.

You can do this by dividing 3 and 5 to get 0.6 and then 60%, or you can create an equivalent fraction with a denominator of 100.

3 60
5 = 100

60%

7 0

3 years ago

What is the volume of a cylinder with a height of 4.5 cm and a base with a radius of 5.2 cm, to the nearest tenth of a cubic cen

lawyer [7]

Answer:

382.3

Step-by-step explanation:

v=πr²h

v=π(5.2)²(4.5)

v=about 382.27

3 0

3 years ago