sue stacked one box onto another. the bottom had the height of 2 1/3 feet and the top box had the height of 3 2/3 feet. how tall were the stacked boxes?

Answers

Answer 1

Answer: Height of bottom box : - $2 (1)/(3) => 7/3$
Height of top box : - $3 (2)/(3) => 11/3$

Thus, height of two boxes =

$(7)/(3) + (11)/(3) = (18)/(3) => 6ft$

Happy to help chodini!

Answer 2

Answer: $2(1)/(3) + 3(2)/(3) = 5(3)/(3) =6 \n \nAnswer: \ Height \ of \ two \ boxes \ is \ 6 \feet$

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Find the volume, to the nearest m3, of a cylinder with diameter 6 m and height 8 m.a.226 m3 c.207 m3 b.452 m3 d.151 m3

Answers

ANSWER

a. 226m³

EXPLANATION

The volume of a cylinder is calculated using the formula:

$Volume=\pi \: {r}^(2) h$

where r is the radius and h=8m is the height of the cylinder.

The radius is half of the diameter.

This means that:

$r = (d)/(2) = (6)/(2) = 3m$

We plug in the values into the formula to get:

$Volume=\pi * {3}^(2) * 8$

$Volume=72\pi$

$Volume=226.19 {m}^(3)$

To the nearest cubic meters, the volume is 226 m³.

What is the area of the composite figure?4 in
O (877 + 6) in.2
(817 + 12) in 2
(877 + 18) in 2
(81T + 24) in 2
3 in

Answers

Answer:

8π + 12 in²

Step-by-step explanation:

Just add the areas of the semicircle and the triangle.

What is the slope-intercept equation for the line below?

Answers

Answer: D

Step-by-step explanation:

If we look at the graph we can see that the line intercepts the y-axis at (0,-4), so the intercept must be -4.

If we use the rise-over-run formula for (0,-4) and (4,1) we would get:

$(1--4)/(4) \n\n=(5)/(4)$

Since the line is going upwards, the equation must be positive.

Therefore, the equation in slope-intercept form is y=5/4x-4.

Answer is D

First, we can eliminate option b and c because they are negative, and the line in the graph is goin up.
Then you count and get that the m is 5/4, put it together: y=5/4x-4

Translate the statement into an equation. Then solve the equation. The sum of 8 and 3 times a number is 23.

Answers

The best way to solve this is to write it out part by part.

The first part is "the sum of 8 and 3," which is (8+3)

The second part is "...times a number," so we have n(8+3)

Lastly, "...is 23," means n(8+3) = 23, so here's the equation. In order to solve for n, divide both sides by (8+3) so 23/(8+3) which is 23/11. So the "number" is 23/11.

Let the number be x
8+3x=23
3x=23-8
3x=15
x=5
The number is 5

Two of the three sides of a triangle are 20 and 15. Which of the following numbers is not a possible perimeter of the triangle?a. 52
b. 57
c. 62
d. 67 e.72

Answers

Given:
1st side = 15
2nd side = 20
3rd side = ?

We will use a triangle inequality where the 3rd side is greater than the difference of the two sides and less than the sum of the two sides.

20 - 15 < x < 20 + 15
5 < x < 35

If x = 5 ; then the perimeter would be 5 + 15 + 20 = 40
if x = 35, then the perimeter would be 35 + 15 + 20 = 70

So the perimeter is within the range of 40 and 70.

Among the choices, E. 72 is outside the range. Therefore, it is not a possible perimeter of the triangle.

If two 6-sided number cubes are rolled, what is the probability that a 2 is rolled on the first cube and a 5 is rolled on the second cube?

Answers

There are 6 sides on the number cubes, numbered 1-6.

The odds of rolling a 2 are 1 in 6, or 1/6

P(2)=1/6

The odds of rolling a 5 are 1 in 6, or 1/6

P(5)=1/6

P(2)*P(5)=1/6*1/6=1/36

The odds of rolling a 2 and a 5 are 1/36

Answer=1/36

the answer is going to be 1/36

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