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2 years ago

Jane builds a ramp made of a triangular prism and a rectangular prism. What is the volume

Mathematics

2 answers:

Yanka [14]2 years ago

7 0

Answer: 11.5 m3

Step-by-step explanation:

Hi, to answer this question we have to apply the next formulas:

Volume of a rectangular prism (R) : length x width x height

Replacing with the values given and solving for v (Volume)

V(R) = 4x 2 x 1

V(R) = 8m3

Volume of a triangular prism (T): base area x height

Base area = 1/2 x base x height (of the triangular base)

A = 1/2 x 1 x 3.5 = 1.75m2

Back with the volume formula:

V (T)= A x h = 1.75 x 2 = 3.5m3

Adding both volumes:

8 +3.5 = 11.5 m3

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

Alex787 [66]2 years ago

6 0

Answer:

Correct option: third one -> 11.5 m3

Step-by-step explanation:

To find the volume of the ramp, first we need to find the volume of the rectangular prism and the volume of the triangular prism:

V_rectangular = 4m * 2m * 1m = 8 m3

V_triangular = (2m * 3.5m * 1m) / 2 = 3.5 m3

Now, to find the volume of the ramp, we just need to sum both volumes:

V_total = V_rectangular + V_triangular = 8 + 3.5 = 11.5 m3

Correct option: third one.

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r Flag For Review A certain city with a population of 132,000 is to be divided into 11 voting districts, and no district is to h

Alex787 [66]

Answer:

$P = \frac{132000}{12}=11000$

So then P =11000 is the minimum that the least populated district could have.

Step-by-step explanation:

We have a big total of N = 132000 for the population.

And we know that we divide this population into 11 districts

And we have this info given "no district is to have a population that is more than 10 percent greater than the population of any other district"

Let's assume that P represent our minimum value for a district in the population. The range of possible values for the population of each district would be between P and 1.1 P

The interest on this case is find the minimum value for P and in order to do this we can assume that 1 district present the minimum and the other 10 the maximum value 1.1P in order to find which value of P satisfy this condition, and we have this:

$P + 10 (1.1P) = 12 P= 132000$

$P = \frac{132000}{12}=11000$

So then P =11000 is the minimum that the least populated district could have.

3 0

2 years ago

A company makes 150 bags.

irina [24]

35% chance because the company made 150 bags

4 0

1 year ago

If you take out a $15,000 loan for a period of 36 months at a 5.4% annual interest rate, how much of your first monthly payment

Tems11 [23]

Answer:

The amount that will go towards the balance is 385.71.

Step-by-step explanation:

The information provided is:

P = Principal of loan = $15,000

r = interest rate = 5.4% p.a. = $\frac{0.054}{12}= 0.0045$

n = number of periods = 36

The amount of the monthly payment that will go towards the balance is:

Amount towards the balance = EMI - Interest

First compute the Equated monthly installments (EMI) as follows:

$EMI=\frac{P\times r\times (1+r)^{n}}{(1+r)^{n}-1} \\=\frac{15000\times0.0045\times(1+0.0045)^{36}}{(1+0.0045)^{36}-1} \\=\frac{79.3125}{0.175}\\=453.21$

Now compute the interest as follows:

$Interest=P\times r\\=15000\times0.0045\\=67.5$

The amount that will go towards the balance is,

Amount towards the balance = EMI - Interest

= 453.21 - 67.5

= 385.71

Thus, the amount that will go towards the balance is 385.71.

4 0

2 years ago

Read 2 more answers

Kate writes an algebraic expression using each of the variables x and y only once. they first expression she writes uses x and y

kotykmax [81]

Answer:

B: Using x and y factor results in an expression of greater value than using x and y as terms.

Step-by-step explanation:

For her first expression, x and y are factors;

For her second expression, x and y are written as terms;

x + y

For x and y are both negative integers, then;

-x * -y = xy ............... 1

-x + (-y) = - x - y

= - (x + y) .............. 2

Therefore, the value of x and y factors is greater than that when x and y are as terms. Thus the correct option is B.

3 0

2 years ago

Craig ran the first part of a race with an average speed of 8 miles per hour and biked the second part of a race with an average

enot [183]

Then, 15 - x is the distance ran in the second part.
The time, t1, for the first part is t1 = xmi / 8mi/h
The time, t2, for the second part is t2 = (15 - x)mi / 20mi/h
The total time is t1 + t2 = 1.125 h
Then x/8 + (15 - x) / 20 = 1.125
To solve for x, multiply both sides by 40 (this is the least common multiple)
5x + 30 - 2x = 45
3x = 15

to find x divide: 15/3=5

And 15 - x = 10 mi.
First part:
Speed: 8mi/h
Distance: 5 mi
Time: 5mi/8mi/h = 5/8 h = 37.5 minutes
Second part
Speed: 20 mi/h
Distance: 10 mi
Average speed: 15mi/1.125h =13.33 mi/h
Distance: 15mi
Time: 1.125 h = 67.5 minutes

7 0

2 years ago

Read 2 more answers