The cross-sectional areas of a triangular prism and a right cylinder are congruent. The triangular prism has a height of 5 units, and the right cylinder has a height of 3 units. Which conclusion can be made from the given information?

The volume of the prism is half the volume of the cylinder.
The volume of the prism is twice the volume of the cylinder.
The volume of the prism is equal to the volume of the cylinder.
The volume of the prism is not equal to the volume of the cylinder.

Answer:

Area is measured in square kilometres

Step-by-step explanation:

Volume measures the space inside a 3-dimensional objects

Answer:

10,200 Dollars

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 6%/100 = 0.06 per year.

Solving our equation:

A = 7500(1 + (0.06 × 6)) = 10200  

A = $10,200.00

Answer:

  -1

Step-by-step explanation:

You want the y-intercept of the line with slope -3 through point (2, -7).

The y-intercept can be found by solving the slope-intercept equation for b.

  y = mx +b

  b = y -mx

For the given point and slope, this is ...

  b = -7 -(-3)(2) = -7 +6 = -1

The y-intercept is -1.

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Answer:

I believe it is -2 1 minimum. I'm so sorry if it's wrong!

Answer:

Circumference of the circle with a radius of 5 is 31.42

Step-by-step explanation:

Answer:

The 1st one is: 31.4cm

Step-by-step explanation:

1st: 2 x 3.14 x 5 = 31.4

Answer:

[tex]Let \ the \ 2 \ consecutive \ number \ be = n, (n+1)\\\\sum \ of \ the \ 2 \ consecutive \ numbers is 44\\\\That \ is, \\\\ n + (n+1) = 44\\\\ 2n + 1 = 44\\\\2n = 44 - 1 \\2n = 43\\n = 21.5 , 22.5[/tex]

But the numbers are not natural numbers.

Answer:

4e

Step-by-step explanation:

Since each serving is 1/4 cups

If the total number of snack mix in bag is e :

The number of 1/4 cups of serving in the bag can be obtained thus :

Total snack mix in bag / fraction of cup per serving

e / 1/4

e * 4/1

= 4e

The area of the rectangular garden is (56 + 7/20) ft^2

Remember that for a rectangle of length L and width W, the area is:

A = L*W

In this case, we have:

Length = (5 + 3/4)ft

Width = (9 + 4/5)ft

Taking the product we get:

A = (5 + 3/4)ft*(9 + 4/5)ft = 45ft^2 + 4ft^2 + 27/4ft^2 + 12/20 ft^2

                                        = 49ft^2 + 147/20 ft^2

                                        = 49ft^2 + 7ft^2 + 7/20ft^2

                                         = (56 + 7/20) ft^2

The area of the garden is (56 + 7/20) ft^2

If you want to learn more about areas, you can read:

https://brainly.com/question/24487155

Note: I don’t really like giving people answers. but i like them to learn. So i will teach you how to find a average of something, and using that method try to solve this problem

To find a average of something all you need to do is to add the numbers up and divide it by the total  is. As for example, pretend we have two bags, one with 5 marbles and the other one with 3 marbles. now you have to add them all up 5+3=8. Know we know the total numbers of marblas. So we know we have to bags right?l we divide 8 by 2 which is 4. i really hope you learned how to find the average of something. Hope this helps a lot!

Answer:

[tex]6+ \sqrt{29},6-\sqrt{29}[/tex]

Step-by-step explanation:

The given quadratic equation is [tex]x^2-12x+7=0[/tex]

The general form of quadratic equation is given by :

[tex]ax^2+bx+c=0[/tex]

Comparing both the equations,

a = 1, b = -12 and c = 1

The solution of a quadratic equation is given by :

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]

Put all the values,

[tex]a=\dfrac{-(-12)\pm \sqrt{(-12)^2-4\times 1\times 7} }{2(1)}\\\\=\dfrac{12\pm \sqrt{116}}{2}\\\\=\dfrac{12\pm 2\sqrt{29}}{2}\\\\=6\pm \sqrt{29}[/tex]

So, the solutions of the given equation is [tex]6+ \sqrt{29},6-\sqrt{29}[/tex]. Hence, the correct option is (d).  

Answer:

180 degrees - 101 degrees - 65 degrees = 14 degrees

Answer:

1073 inches squared.

Step-by-step explanation:

To find how much paper is needed to cover the board, you have to find the area. The formula of area for rectangles is length times width or as you said in the question width times height.

To find the answer:

Area = length * width

Area = 29 * 37

Area = 1073 inches squared.

Don't forget to add the units!

Answer:

D. 2√2

Step-by-step explanation:

sin 45° = 1/√2

P/H = 1/√2

x/4 = 1/√2

= 1/√2 × 4

= 4/√2

x = 4×√2/√2×√2

= 4√2 /2

= 2√2

Option D. 2√2

Answer:

a

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

I think it is B, so the correct answer is 40

Step-by-step explanation:

Answer:

The other guy is correct, the correct answer is B. 40.

Step-by-step explanation:

Under Students that have a cell phone and under students that have a part-time job the total amount of people is 40

Answer:

x = cost per pound of almond = $10.2

y = cost per pound of cashew = $12.4

Step-by-step explanation:

Let

x = cost per pound of almond

y = cost per pound of cashew

Magda:

6x + y = 73.60

Nicholas:

4x + 3y = 78.00

6x + y = 73.60 (1)

4x + 3y = 78.00 (2)

Multiply (1) by 3

18x + 3y = 220.8 (3)

4x + 3y = 78.00 (2)

Subtract (2) from (3) to eliminate y

18x - 4x = 220.8 - 78.00

14x = 142.8

x = 142.8 / 14

x = 10.2

Substitute x = 10.2 into (1)

6x + y = 73.60 (1)

6(10.2) + y = 73.60

61.2 + y = 73.60

y = 73.60 - 61.2

y = 12.4

x = cost per pound of almond = $10.2

y = cost per pound of cashew = $12.4

Answer:

(A)

Step-by-step explanation:

The line QR is tangent at point R if it is perpendicular or makes a right angle to line PR. If so, then the Pythagorean theorem can be applied. And it turns out that indeed the aquarebof the length of line QP is equal to the sum of the squares of QR and PR.

Answer:

444 and yes it is more

Step-by-step explanation:

Given that

There is 375 fish that are swimming in a school

First, 47 fish swim away

Then 116 more fish join the school

We need to find out the number of fish in the school now

So,

= 375 - 47 + 116

= 444

It is more than 375 fish in the school

Basically we deduct the fishes that swim away and add the fishes that join the school

Step-by-step explanation:

perimeter = 30+(2×25)+(½×3.14×30)

= 30+50+47.1

= 127.1 cm

Area = (25×30)+ (½×3.14×15²)

= 750 + 353.25

= 1.103.25 cm²

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Explanation:

Divide the figure so we have a semicircle on the left and a rectangle on the right. The rectangle is 30 by 25. The semicircle has diameter 30.

If we consider a full circle of diameter 30, then its circumference is exactly C = pi*d = pi*30 = 30pi centimeters.

But we only have half a circle, so we cut that in half to get 30pi/2 = 15pi. That's the distance around the curved portion of this diagram. The straight line portions are handled as exactly as you expect.

Add up the distances around the outer edges to get:

15pi+25+30+25 = 15pi+80

The exact perimeter, in terms of pi, is 15pi+80 centimeters.

To get an approximation of this, we can use pi = 3.14 to get

15*pi + 80 = 15*3.14+80 = 127.1 cm

To get a better approximation, use more decimal digits in pi. Or you can let your calculator handle the decimal digits of pi (in other words, use the stored version of it).

Answer:

x= -5 or x=4

Step-by-step explanation:

Lets first turn this into quadratic formula form

(-1 ±[tex]\sqrt{1^2-4*1*-20}[/tex]) / 2

(-1 ± 9 )/2

-10 / 2   =x or 8/2 =x

x= -5 or x=4

It was hard to type it in the comments hope this helped

Answer:

18cm

Step-by-step explanation:

Answer:

3 Beings

Step-by-step explanation:

If 20% of them preferred quect juice and 15 were surveyed, then 3 preferred quect juice because 20% of 15 is 3!

Hope this helps! :)

Answer:

22 students are in the environmental club

Step-by-step explanation:

220 / 10 = 22

Answer:

22

Step-by-step explanation:

Answer:

377/3

Step-by-step explanation:

In general if we have a fraction ( mixed) as ,

[tex]a\dfrac{c}{d}[/tex]

Then the improper fraction will be ,

Improper fraction :-

[tex]\dfrac{ d\times a + c}{d} [/tex]

Using this concept we have ,

→ 125 ⅔

→ 125 × 3 + 2 / 3

→ 375 + 2/3

→ 377/3

Answer:

75

Step-by-step explanation:

don't know how to explain hope this helps

it would be 75

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Answer:

10 times

Step-by-step explanation:

distance covered once is equal to the perimeter of the square

perimeter of the square = 4 x length

4 x 30 = 120 ft

number of times = 1200 / 120 = 1-

AB² = AC²+BC²

AB² = 9²+12²

AB²= 225

AB= 15

SinA = 12/15

A = Sin-¹(0.8)

M`A = 53°

M`B = 90- A = 90-53= 37°

Answer:

AB = 15

m ∠A  = 53.1°

m ∠B  = 36.9°

Step-by-step explanation:

[tex]AB^2 = AC^2+CB^2 \\AB^2 = 9^2 + 12^2 = 81 + 144 = 225\\AB = \sqrt{225} = 15[/tex]

[tex]sin A = \frac{opposite}{hypotenuse} = \frac{12}{15}\\\\A = sin^{-1} (\frac{12}{15})\\\\[/tex]

A = 53.13

m∠A  = 53.1°

∠A + ∠B + ∠C = 180°

53.1 +∠B  + 90 = 180

∠B = 180 - 90 - 53.1 = 36.9°

Answer:

18/6+5e^-0.6

Step-by-step explanation:

from there I simplified it can you do the rest?