Derek is finding the volume of a triangular prism. Which describes the first step he should use to arrive at the correct answer?

A.
Find the area of the triangular base.

B.
Add the area of one of the rectangle faces to the area of the triangle.

C.
Multiply the perimeter of the triangle by the height of the prism.

D.
Find the perimeter of the triangular base.

Answer:

y=-3/2x+-9/2

Step-by-step explanation:

Answer:

SAS

Step-by-step explanation:

Answer: 2,4      4,8       8,16     and so on ...

Step-by-step explanation:

Answer: c < -3

Step-by-step explanation: To solve for c in this inequality, your goal is the same as it would be you were solving an equation, to get c by itself on one side of the inequality.

Since 2 is being added to c, subtract

2 from both sides of the inequality.

On the left, the +2 and -2 cancel out

and on the right, -1 - 2 is -3.

So we end up with c < -3.

I have also graphed this for you below.

Answer:

b

Step-by-step explanation:

Answer:

I'm not great at this but I think that the rate of change is 30.

I hope this helps!

Answer:

roy is in the same quadrant

Step-by-step explanation:

↙↘⤵⤵⤵⤵⤵⤵⤵⤵⤵⤵⤵⤵⤵

Answer:

roy

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

5x+8

5x8=40

x=40

Answer:

x = 25.6

Step-by-step explanation:

1. Both angles towards the bottom equal 48 degrees, so the angle on the left (already shown) and across on the right equal 48. Add/multiply both of them

        48 * 2 = 96

Now, like triangles, figures with 4 sides add up to a certain number of degree. Four sided figures or quadrilaterals (the ”fancy” math word for it) add up to 360 degrees.

2. Adding up to 360 degrees means that all four angles have to be evenly split, you already know that the corners are 48 degrees, the bottom corners, you don’t know yet, therefore, we subtract 360 by 96 and divide the difference.

360 - 96 = 264

264/2 = 132

3. From the explanation above, you now know that the bottom corners will equal 132 degrees, therefore you will set the equation to be equal to 132 degrees.

5x + 8 = 132

5x = 128

x = 25.6

The answer is x = 25.6, I hope this explained everything, there are some theorems which make remembering these steps a lot easier, and alternative approaches you could have taken, but this is my approach.

Answer:

576 x 4 + 1152 x 3 + 864 x 2 + 288 x + 36

Step-by-step explanation:

The simplification of the given equation is [tex]-24x^2 -24x -6[/tex]

Given that,

[tex]= (-6x - 3) \times (4x + 2)\\\\= -24x^2 -12x - 12x -6\\\\= -24x^2 -24x -6[/tex]

Find out more information about the  equation here:

https://brainly.com/question/2263981?referrer=searchResults

Answer:

163/5

Step-by-step explanation:

If your trying to find the improper fraction you have to multiply the bottom which is 5 and the whole number which is 32

32*5=160

then you add the number on top which is 3

163/5

Answer:

[tex]\frac{64}{5}[/tex]

Step-by-step explanation:

Convert 31 as a fraction... [tex](\frac{32}{1} ) *\frac{3}{5}[/tex]

Multiply across... [tex]\frac{64}{5}[/tex]

The answer is now in simplest form.

Answer:

[tex]y^{-4}\cdot y^3=y^{-1}[/tex].

Step-by-step explanation:

The given expression is

[tex]y^{-4}\cdot y^3[/tex]

We have to simplify the above expression. in form of [tex]y^n[/tex].

Using property of exponents, we get

[tex]y^{-4}\cdot y^3=y^{-4+3}[/tex]      [tex][\because a^ma^n=a^{m+n}][/tex]

After addition of exponents, we get

[tex]y^{-4}\cdot y^3=y^{-1}[/tex]

Therefore, [tex]y^{-4}\cdot y^3=y^{-1}[/tex].

Answer:

When you change the inequality as the formula of y>ax+b, it is over the boundary line. While the formula is y<ax+b, it is below the boundary line. So we can get the answer is D.

Step-by-step explanation:

Answer:

131

Step-by-step explanation:

Well all of the angles added together should equal to 360 degrees.

83 + 91 + 55 + x = 360

229 + x = 360

-229          -229

x = 131  

Answer:

b. 23.3

Step-by-step explanation:

1.(25)^2=x^2 + (9)^2

625= x^2 + 81

2. subtract 81

544= x^2

x= 23.3

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

Explanation:

The half-life is 35 hours. This means every 35 hours, the amount of the substance is cut in half. If we started with 100 grams, then 35 hours later, we will have 50 grams. Then another 35 hours later we will then have 25 grams, and so on.

In this case, we start with 904 grams and follow this sequence:

904, 452, 226, 113, ...

Each term is cut in half. Going from term to term it takes 35 hours each. The third term 226 is the result of waiting two half-lives, which is 2*35 = 70 hours that have elapsed total.

--------------

If you want to use a formula, then it would be

[tex]y = A*\left(\frac{1}{2}\right)^{x/H}[/tex]

where,

H = half-life duration (in this case, it is 35)

A = starting amount (which is 904 in this case)

x = amount of time that has elapsed (we will plug in x = 70)

y = final amount after x units of time has elapsed

note that x and H must have the same time unit. Both are in terms of hours in this case.

------------

So we will plug A = 904, x = 70, H = 35 into the formula to get...

[tex]y = A*\left(\frac{1}{2}\right)^{x/H}\\\\y = 904*\left(\frac{1}{2}\right)^{70/35}\\\\y = 904*(0.5)^{2}\\\\y = 904*(0.25)\\\\y = 226\\\\[/tex]

We see that x = 70 leads to y = 226. This means after 70 hours, there is 226 grams of the material left.

Answer:

x=-7,y=10,p=53°,k+w=90°,k=45°,w=45°

Step-by-step explanation:

hope this helps

Answer:

i think six cups?

Step-by-step explanation:

i took 3/4 and multiplied it by 8 and got 6

Answer:

b

Step-by-step explanation:

Answer:C- 3x+5 x-3

Step-by-step explanation:

Answer:

C) 3x+5/x-3

Step-by-step explanation:

Just took it. Edg 2020. Hope this helps :)

Answer: A

It is true I think.

Step-by-step explanation:

Answer:

Marcel's financial goal is to purchase a house. To make Marcel's financial goal of purchasing a house a specific goal, he can FOCUS ON SAVING FOR A DOWN PAYMENT. Next, Marcel can make his goal timely by GIVING HIMSELF A DEADLINE. Lastly, Marcel can make his financial goal measurable by TRACKING THE AMOUNT OF MONEY HE SAVES each month.

Answer:

16[tex]\pi[/tex]

Step-by-step explanation:

area of a circle is pi x r x r

since it is a quarter

1/4 x pi x 8 x 8 = 16 x pi

Answer:

formula = pi× r²× 1/4

Step-by-step explanation:

since radius = 8

3.14×8×8 = 3.14×16

4

therefore the answer is pi × 16

Answer:

The probability that a randomly selected  x-value lies between μ − 2σ and μ is the  shaded area under the normal curve shown.  P(μ − 2σ ≤ x ≤ μ) = 0.135 + 0.34 = 0.475

Step-by-step explanation:

Correct Answer is 0.8385

Empirical Rule:

The Empirical Rule states that 99.7% of data observed following a normal distribution lies within 3 standard deviations of the mean. Under this rule, 68% of the data falls within one standard deviation, 95% within two standard deviations, and 99.7% within three standard deviations from the mean.

Here,

The 68-95-99.7 rule for the normal distribution says:

P(μ - σ ≤ x ≤ μ + σ) = 0.68

P(μ - 2σ ≤ x ≤ μ + 2σ) = 0.95

P(μ - 3σ ≤ x ≤ μ + 3σ) = 0.997

By taking the left half of the first interval and the right half of the last

interval, we have:

P(μ - σ ≤ x ≤ μ + 3σ) = 0.5*P(μ - σ ≤ x ≤ μ + σ) + 0.5*P(μ - 3σ ≤ x ≤ μ + 3σ) =

0.34 + 0.4985 = 0.8385

Learn more about Standard normal distribution here:

https://brainly.com/question/25394084?referrer=searchResults

#SPJ2

Answer:

option A

Step-by-step explanation:

Answer:

5 cm

Step-by-step explanation:

Answer:

5 cm

Step by step explanation