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antoniya [11.8K]
3 years ago
15

Find the volume of the large solid without the smaller solid. The solid is a right solid and is not drawn to scale. Round answer

s to the tenths place.
A rectangular prism has length 12.4 meters, height 9 meters, and width 7.8 meters. A smaller rectangular prism inside the larger prism has length 3 meters, width 1.8 meters, and height 9 meters.
a.
870.5 cube meters
c.
48.6 cube meters
b.
821.9 cube meters
d.
919.0 cube meters
Mathematics
1 answer:
soldi70 [24.7K]3 years ago
7 0

Answer: 821.9 cube meters

Step-by-step explanation:

Hi, to answer this question we have to calculate both rectangular prisms volume:

Volume: Length x width x height

Replacing with the values given:

Large solid volume = 12.4 x 7.8 x9 =870.48 cubic meters

Small solid volume = 3 x 1.8 x 9 =48.6 cubic meters

Next, we have to subtract the smaller solid's volume to the large solid’s volume .

870.48-48.6 = 821.88 = 821.9 cubic meters

Feel free to ask for more if needed or if you did not understand something.

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melisa1 [442]

Answer: Choice B) 35.3 degrees

======================================================

Work Shown:

Apply the law of sines

sin(S)/s = sin(R)/r

sin(S)/16 = sin(120)/24

sin(S) = 16*sin(120)/24

sin(S) = 0.57735026918962

S = arcsin(0.57735026918962)

S = 35.2643896827542

S = 35.3

Make sure your calculator is in degree mode.

7 0
2 years ago
Sam solved the following problem:
Talja [164]

Answer:

 Sam made it -24 versus 24  (29-5=24  not -24)

(Sam failed to flip the inequality)

Step-by-step explanation:

-4x + 5 > 29

Subtract 5 from each side

-4x+5-5 > 29-5

-4x > 24      Sam made it -24 versus 24  (29-5=24  not -24)

Divide by -4  Remember to flip the inequality

-4x/-4 < 24/-4   (Sam failed to flip the inequality)

x < -6

7 0
3 years ago
Read 2 more answers
Which of the following is the solution set to the inequality −25x+14&gt;20? Select one: A. x &lt; -64 B. x &gt; -64 C. x &lt; -1
Sindrei [870]

Answer:

x< -0.24

Step-by-step explanation:

So this is going to sound stupid, but I got x< -0.24 which is just not an option, but this is how I got it...

-25x+14>20

subtract 14 from each side

-25x>6

divide each side by -25

x< -0.24

I switch the way the sign was facing bc I divided by a negative.

Now I know that this must be wrong, but it makes the most sense because I am pretty sure I did all of the math right. Sorry this probably didnt help , but I did a lot of work to try and get the right answer, so Im not putting that work to waste

8 0
3 years ago
HELP PLEASE ONE QUESTION I DONT GET IT 6th GRADE MATH
grigory [225]

Answer:

-2.65

Step-by-step explanation:

-1.2 - 1.45 = -2.65

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3 years ago
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My teacher didn’t really teach this and um how do I do this
Lorico [155]

Answer:


Step-by-step explanation:

1. 3.8 x 10^5 + 5.5 x 10^5 = 930,000 or 9.3 x 10^5

You just have to solve the equation and shorten the answer. For number one the answer is 930,000, so you have to make it into a number with decimals since a scientific notation number can not be equal to 10 or be greater. So you have to round the number to 9.3 not 93. To "round" it to 9.3 you have to move the decimal at the end of 930,000 to be in between the numbers 9 and 3. How many times you move the decimal to the left or right, that is the exponent of 10. So for 930,000 you moved the decimal 5 times to the left so the exponent for 10 is positive 5.

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