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Ksju [112]
2 years ago
6

A right rectangular prism and an oblique triangular prism are both 12 centimeters tall and have the same volume. What statement

must be true about two solids?
Mathematics
2 answers:
Bas_tet [7]2 years ago
7 0
This is the concept of volumes of solid figures, given that the height of the right rectangular prism and the oblique triangular prism are 12 cm and both prisms have the same volume, we can conclude that:
Horizontal cross-sections of the prisms at the same height have the same area.
MakcuM [25]2 years ago
5 0

Answer:

We conclude that both the prism has same area.

Step-by-step explanation:

Given a right rectangular prism and an oblique triangular prism are both 12 centimeters tall and have the same volume.

we have to conclude the correct statement about these two prism.

As, given the height of both prism are same i.e 12 cm and also have same volume implies same cross-section or we can say have same base.

and also, Horizontal cross-sections of the prisms at the same height have the same area.

We conclude that both the prism has same area.

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A tiling company completes two jobs. The first job has $1200 in labor expenses for 40 hours worked, while the second job has $15
daser333 [38]

Answer:

The correct option is;

1560 = 30(52) + b

Step-by-step explanation:

The cost of the first job = $1,200 in labor and expenses

The number of hours worked in the first job = 40

The second job costs $1,560 in labor and expenses

The number of hours worked in the second job = 52

If the cost of labor per hour = L and the expenses = b, we have;

$1,200 = 40×L + b......................(1)

$1,560 = 52×L + b.......................(2)

Subtracting equation (1) from (2), we have;

52×L + b - (40×L + b) =  52×L - 40×L + b - b = $1,560 - $1,200 = $360

12×L = $360

L = $360/12 = $30/hour

From equation (1), we have;

$1,200 = 40×L + X =  40×$30 + b

Therefore, the equation that can be used to calculate the y-intercept of the linear equation is either;

1200 = 40(30) + X or 1560 = 32(52) + b, which gives the correct option as 1560 = 32(52) + b

6 0
1 year ago
In quadrilateral QRST, m is 68°, m is (3x + 40)°, and m is (5x − 52)°. What are the measures of , , and ? Write the numerical va
GrogVix [38]

Answer:112,112,68

Step-by-step explanation:

You have the answer in the picture. You only need S and is 180-Q =180-68= 112, so the answer is 112,112,68

6 0
2 years ago
The average age of doctors in a certain hospital is 45.0 years old. Suppose the distribution of ages is normal and has a standar
Ad libitum [116K]

Answer: 0.7619

Step-by-step explanation:

Given : Mean : \mu=45.0

Standard deviation : \sigma =8.0

Sample size : n=9

We assume that the variable is normally distributed.

The value of z-score is given by :-

z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}

a) For x= 46.9 years

z=\dfrac{46.9-45.0}{\dfrac{8}{\sqrt{9}}}=0.7125

The p-value : P(z

Hence, the  probability that the average age of those doctors is less than 46.9 years =0.7619

8 0
2 years ago
On a rectangular soccer field, Sang is standing on the goal line 20 yards from the corner post. Jazmin is standing 99 yards from
Anna007 [38]
Okay, so Sang is standing 20 yards away from one corner, and Jazmin is standing 99 yards away from the same corner. If this is a rectangle (I like visuals, so I'll use them to explain), then:
               
                    99ft
      A  -------------------------  B
         |                              |
20 ft  |                              |
         |                              |
    C   --------------------------  D

The question is asking you to solve for the diagonal line between points C and B. If you imagine a line there, you actually have the rectangle split into two triangles. So if you have triangle ABC, side CB would be the longest line, or the hypotenuse. That means you can use the Pythagorean Theorem to solve the problem.

A^2 + B^2 = C^2
99^2 + 20^2 = C^2
9,801 + 400 = C^2
10,201 = C^2

Now you solve for the square root of 10,201 to get C.

sqr (10,201) = C
C = 101 yards

3 0
2 years ago
Steve started with $250 and spent $25 per week. Chelsea started with $30 and saved $30 per week. Use x for time and y for saving
blsea [12.9K]
Steve and Chelsea will have the same amount of money on the 12 week. I can’t graph it but I am a little sure that is the answer
8 0
1 year ago
Read 2 more answers
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