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iren [92.7K]
3 years ago
10

Work out the volume of this prism. Write your answer a in cm? 120cm 30cm 20 cm

Mathematics
2 answers:
Levart [38]3 years ago
8 0

Answer:

V = 48000 cm³

Step-by-step explanation:

The volume (V) of the prism is calculated as

V = area of end face × length

The end face is a trapezium with area (A) calculated as

A = \frac{1}{2} h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ the parallel bases

Here h = 20 , b₁ = 10 and b₂ = 30 , then

A = \frac{1}{2} × 20 × (10 + 30) = 10 × 40 = 400 cm²

Thus

V = 400 × 120 = 48000 cm³

Tom [10]3 years ago
5 0

Answer:

24,000 cm³

Step-by-step explanation:

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Marina86 [1]

Answer: \sqrt{29}

Step-by-step explanation: d is length of a hypotenuse in triangle. Use Pytago theorem d = \sqrt{2^{2}+5^{2} } =\sqrt{29}

7 0
4 years ago
Select the correct answer from each drop-down menu. Graph the function . The vertex of the graph is at ___. The direction in whi
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5 0
3 years ago
Mia is 7.02576 × 10^6 minutes old. Convert her age to more appropriate units using years, months, and days. Assume a year has 36
Naya [18.7K]

Answer:

Number of days = 4879 days

Number of months = 162.63 months

Number of years = 13.37 years

Step-by-step explanation:

Given

Mia's age (in minutes) = 7.02576 * 10^6

Required

Calculate age in years, months and days.

For ease of work, we'll start by converting to days.

First, it should be noted that there are 24 hours in one day

And there are 60 minutes in an hour.

This means that there are 24 * 60 minutes in a day

Number of minutes = 24 * 60 minutes

Number of minutes = 1,440 minutes

So, if number of minutes in a day is 1,440

Number of days in 7.02576 * 10^6 minutes is calculated as follows

Number of days = \frac{7.02576 * 10^6}{1440}

Number of days = 4879 days

Now, we can convert this to month and year, easily.

From the question, it should be assumed that there are 30 days in a month.

If 1 month = 30 days

Then, there are \frac{4879}{30} months in 4879 days

Number of months = \frac{4879}{30}

Number of months = 162.63 months

Converting to year

From the question, it should be assumed that there are 365 days in a month.

If 1 year = 365 days

Then, there are \frac{4879}{365} years in 4879 days

Number of years= \frac{4879}{365}

Number of years = 13.37 years

8 0
4 years ago
A man is 30 years older than his son. In 6 years'
solniwko [45]

Answer:

the man (Dad) is 36 years old and the boy (Son‍) is 18 years old

Step-by-step explanation:

3 0
3 years ago
Solve -9-8(1+4h)=-17
Mariulka [41]
-9-8(1+4h) = -17. We need to solve for h.
First, use the distributive property for 8(1+4h):
8(1+4h) = 8*1 + 8*4h = 8 + 32h

So -9-8(1+4h) = -17
-9 - (8+32h) = -17
-9 - 8 - 32h = -17
-17 - 32h = - 17
Add 17 on both sides to have the variables on a side and the numbers on the other:
-17 - 32h + 17 = -17 + 17
-32h = 0
divide both sides by -32 to get the variable h alone and its value on the other side:
(-32h)/-32 = 0/-32
h = 0.

So -9-8(1+4h) = -17 for h = 0.

You can recheck your answer (very important):
-9 - 8(1+4h) = -9 -8(1+4*0) = -9 - 8(1+0) = -9-8*1 = -9-8 = -17
The answer has been approved.

Hope this Helps! :)
5 0
3 years ago
Read 2 more answers
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