The volume of a triangular prism is 264 cubic feet. The area of a base of the prism is 48 square feet. What is the height of the prism?

Answer:

!!!

Step-by-step explanation:

Answer and Step-by-step explanation:

These are right triangles, and the second triangle has two known sides. We can use the Pythagorean theorem to find y.

[tex]A^2 + B^2 = C^2[/tex] is Pythagorean theorem.

[tex]3^2 + y^2 = 7^2\\\\\\9 + y^2 = 49\\\\\\y^2 = 40\\\\\\y = 2\sqrt{10}[/tex]

Now, we want to find x.

We know the triangles are similar.

4.5 divided by 3 is 1.5. This is the scale factor for the triangle.

If we multiply y by 1.5, we will get 5x.

[tex]5x = 1.5(2\sqrt{10} )\\\\\\5x = 3\sqrt{10} \\\\\\Divide.5.on.both.sides.to.get.x.\\x = \frac{3\sqrt{10} }{5}[/tex]

Those are the answers and how to get them.

#teamtrees #PAW (Plant And Water)

Answer:

57.5

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

Angle QPR + Angle PQR = Angle HRQ

[tex]30 + 4x + 2 = 8 + 6x \\ (6 - 4)x = 30 + 2 - 8 \\ 2x = 24 \\ x = 12[/tex]

Answer:

17°

Step-by-step explanation:

30°+8+6x=180 ...angles on a str. line

180-30=150

150÷6=25

25-8=17°

therefore 8+6(17°)

4(17°)+2=70°

Answer:

Question doesn’t make sense

Step-by-step explanation:

The way this question should be written to be correct scientific notation is 2.3x10^5 + 3.6x10^6 which would equal 3.83x10^6

Answer:

The correct answer is 623.1 . Elena wrote the wrong numbers and put (5.9 x 10^6) .

Step-by-step explanation:

Answer:

25.06 square feet

Step-by-step explanation:

You have to multiply 35.8 times 0.7 (even though it is a decimal) to get the area of Barb's room

Question:

At midnight, the temperature in a city was 5 degrees Celsius. The temperature was dropping at a steady rate of 2 degrees Celsius per hour.

Write an inequality that represents t, the number of hours past midnight, when the temperature was colder than -4 degrees Celsius. Explain or show your reasoning.

Answer:

[tex]t > 4.5[/tex]

Step-by-step explanation:

Given

Let T = temperature and t = hours past midnight

So, we have:

[tex](t_1,T_1) = (0,5)[/tex] --- at midnight

[tex]m = -2[/tex] --- rate (it is negative because the temperature drops)

Required

Determine the inequality when the temperature is colder than -4 degrees

First, we calculate the hours when the temperature at -4 degrees

This is represented as:

[tex](t_2,T_2) = (t,-4)[/tex]

[tex](t_1,x_1) = (0,5)[/tex]

Using the slope formula, we have:

[tex]m = \frac{T_2 -T_1}{t_2 - t_1}[/tex]

[tex]-2 = \frac{-4-5}{t -0}[/tex]

[tex]-2 = \frac{-9}{t}[/tex]

Solve for t

[tex]t = \frac{-9}{-2}[/tex]

[tex]t = 4.5[/tex]

This implies that: at 4.5 hours, the temperature is at -4 degrees Celsius.

So, the inequality is:

[tex]t > 4.5[/tex]

y = 0 is pretty much a hortizontal straight line

lines are parrallel when the gradient is the same in this case gradient is 0 so

y = 6

Um there is no question.

Answer:

purple

Step-by-step explanation:

cus it looks like it ong

Answer:

36

Step-by-step explanation:

36 is the corresponding angle to the angle which is vertically opposite to g.

Corresponding angles are equal.

Vertically opposite angles are equal.

Answer:

YOU DONT KNOW THIS SMH

Step-by-step explanation:

LEAARN HOW TO WORK

Answer:

I know for the fact that it's the first one but I don't know the other answer

Step-by-step explanation:

An equation of a graph is y=mx+b and the B is the y-intercept which is -2 since the line is on top of -2. mx is the rise/run of -2 which is -3/2

Hope this helps, but I don't which other equation represents the graph.

Answer:

x = 42

y = 38.

I'm pretty sure this is the answer

Answer: x=42 y=48

Step-by-step explanation:

The angle with 42° and the blank space should add up to 90° so you would have to do 90-42=48° to find the blank space. As opposite angles are equal that means y=48° too.

Then to find out what x is you have to do 90-48=42° as the part with x and y in it has to add up to 90°.

You can check this by checking the two quarters. They should both add up to 90°.

42+48=90°

48+42=90°

So we know its correct.

Hope this helps :)

Answer:

C

Step-by-step explanation:

If you add all of the numbers together and divide by the total (15) you would get 11.333

(7+8+8+9+11+11+12+12+12+12+12+13+14+14+15) divided by 15 equals 11.3333

Answer:

57

Step-by-step explanation:

It is given in the question that length CDA = 57.

Since the shape is a parallelogram, then we know that length AD=BC and AB=CD.

CDA = CD + AD

BCD = BC + CD

Since BC=AD and CD=CD

BCD = BC + CD is the same as CD + AD = CDA

Therefore BCD is the same length as CDA = 57

In other words, CDA is made up of a long side and a short side = 57

BCD is also made up of a long side and a short side, and since the longs sides are equal to each other and the short sides are also equal to each other in a parallelogram, BCD is the same length as CDA = 57.

Hope this helped!

Answer:

80%.

Step-by-step explanation:

percentage = number of answered questions ÷ total number of questions × 100%.

= 96 ÷ 120 × 100%.

= 80%.

hope it helps. :)

Answer:

HI = 54.1 ft

Step-by-step explanation:

From the diagram, we can see that the length HI is the opposite as it faces the angle given

The side that measures 60 ft is the adjacent

GH represents the hypotenuse

Mathematically, the ratio of the opposite and the adjacent is the tan of an angle

Tan 31 = HI/60

HI = 60 * Tan 31

HI = 54.1 ft

Answer:

real answer is 60

Step-by-step explanation:

an elf told me

Answer:

13.1

Step-by-step explanation:

Answer:

a)Add the terms in the bottom equation to the terms in the top equation to eliminate y

Answer:

The answer is $3!

Step-by-step explanation:

First, the question asks for the SALES TAX so that means that the equation[tex]37.5*0.08=x[/tex]. (Why 0.08? Because 8%=8/100=0.08.) 37.5*0.08=3. I hope this helps! Have a great rest of your day!

Answer:

2 - 9

3 - 16

4 - 25.

Step-by-step explanation:

I think you want this:

2 - (2+1)(2+1)

3 - (3 + 1)(3+1)

4 - (4+1)(4 + 1)

You substitute 2, 3 and 4 into  x - (x+1)(x+1) and work them out.

Answer:

Step-by-step explanation:

Answer:

this isnt a question? is it 853 times 4 and 853 times 3?

Answer:

c I believe

Step-by-step explanation:

can you me please Federalist Paper #10 was written in response to Shays' Rebellion and attempted to convince the public that what was needed in the U.S. government? A. Stronger state governments. B. More power to the central government. C. Political parties to settle disputes. is the answer b the right answer thank you

Answer/Step-by-step explanation:

Based on my knowledge, the solution of the system of equations on the graph would be the point where they all meet. Thus, the answer I would put down is:

(-5,2)

Answer:

The coordinates of the vertex will be (-4,-1)

Step-by-step explanation:

Let's recall that the vertex is in the middle point of the roots of a quadratic function.

The root are (-3,0) and (-5,0) so the x-value of the vertex will be:

[tex]x_{vertex}=\frac{-5-(-3)}{2}-3[/tex]

[tex]x_{vertex}=-1-3=-4[/tex]

The y-value of the vertex is given by the minimum value, that is -1

Therefore, the coordinates of the vertex will be (-4,-1)      

I hope it hleps you!

Answer:

Step-by-step explanation:

i tried finding it and i couldnt find it