A triangular prism with dimensions is shown below.
5 ft
3 ft
8 ft
What is the volume of the triangular prism in cubic feet?
O A. 120 ft
O B. 20 ft
O C. 40 ft?
O D. 60 ft

Answer:

[tex]x - 2y = -10[/tex]  

Step-by-step explanation:

1) Use the point-slope formula [tex]y-y_1 = m(x-x_1)[/tex] to write the equation of the line in point-slope form with the given information. From there, we can convert it to standard form. Substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] in the formula.

Since [tex]m[/tex], or the slope, is equal to [tex]\frac{1}{2}[/tex], substitute [tex]\frac{1}{2}[/tex] for [tex]m[/tex] in the formula. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects, substitute the x and y values of (6,8) into the formula as well. This gives the following equation:

[tex]y-8 = \frac{1}{2} (x-6)[/tex]

2) Now, convert the equation above into standard form, represented by the equation [tex]Ax + Bx = C[/tex]. Expand the right side, move the terms with the variables to the left side, then move the constants to the right side. Make sure that [tex]A[/tex] isn't negative and all the terms are integers and relatively prime.

[tex]y-8=\frac{1}{2}(x-6)\\y-8 = \frac{1}{2} x-3\\-\frac{1}{2} x+y -8=-3\\-\frac{1}{2} x+y=5\\x -2y = -10[/tex]

So, the answer is [tex]x - 2y = -10[/tex].

Answer:

C. 904.78 cubic inches

Step-by-step explanation:

The volume of a cylinder = πr²h

=π(6²)(8)

=288π

=904.778684234 in³

Answer:

3

Step-by-step explanation:

3 occurs the most in this data set

Answer:

The mode is 3.

Step-by-step explanation:

Answer:

in geometry nation, is circle, isosceles triangle and parabola.

Step-by-step explanation:

just did it.

Answer:

y=-8x+8

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept

y=-8x+8

Answer:

73.50

Step-by-step explanation:

Answer:

67.5

Step-by-step explanation:

his earnings increase in a linear way so we can express it as linear equation;

y = ax+ b ,

a is the slope in this case it is 7.5$ for every hour

b is the initial value, in this case 0

y = 7.5x

we will write 9 insted of x to find the amount of money when working for 9 hours;

y = 7.5 x 9 = 67.5

Answer:

the answer is a

Step-by-step explanation:

Answer:

you have not put the  full question

Step-by-step explanation:

Answer:

The question is incomplete

Answer: I think it’s 1/8 = 7/56

The value of an equivalent fraction is,

⇒ 1/8 = 7/56

We have to given that,

A fraction to solve,

⇒ 1/8 = x/56

Now, We can simplify as,

⇒ 1/8 = x/56

Cross multiplication,

⇒ 56 = 8x

⇒ x = 56/8

⇒ x = 7

Therefore, The value of an equivalent fraction is,

⇒ 1/8 = 7/56

Learn more about the fraction visit:

https://brainly.com/question/5454147

#SPJ6

Answer:

Step-by-step explanation:

it's d for this one,  if  you'd like to know how to get the answers I can show you but ask in the comments of this question.  I'll see that comment later

Answer:

Step-by-step explanation:

a^x. a^y=a^{x+y}

4²*4^8=4^{10}

Answer:

4 to the power of 10

Step-by-step explanation:

it's the first answer choice

Step-by-step explanation:

If you add all the pieces of data up and divide the total number by 8 (the amount of pieces of data) you will get the mean. For median you just order them from least to greatest and find the one in the middle. Lastly, for mode you just choose the number that shows up the most.

Answer:

-50x + 40

Step-by-step explanation:

10(-5x+4)

-50x + 40

C. Reflected over the y-axis and translated up 1 unit

Answer:

The answer is C

Step-by-step explanation:

Answer:

C- Chi-square test for Homogeneity

Step-by-step explanation:

Because you're looking for whether there are regional differences in peanut butter into 7 different samples, that means you're searching for i categorical variable in the 7 different random samples, making it a chi-square for homogeneity.

Answer:

This is not a function

Step-by-step explanation:

Answer:

The mean average monthly temperature in City 1 is 48.75°F.

The mean absolute deviation for the average monthly temperature in City 1 is  13.375°F

Step-by-step explanation:

For this case we have the following dataset given:

Average Monthly Temperatures for City 1 (° F)

30, 38, 66, 78, 47, 75, 35, 45, 56, 29, 49, 37

Average Monthly Temperatures for City 2 (° F)

15, 23, 51, 63, 32, 60, 20, 30, 41, 14, 34, 22

For this case the sample mean can be calculated with the following formula:

[tex]$\bar{X}=\frac{\sum_{i=1}^{n} x_{i}}{n}$[/tex]

And replacing we got:

[tex]$\bar{X}_{1}=\frac{30+38+66+78+47+75+35+45+56+29+49+37}{12}=48.75$[/tex]

The mean average monthly temperature in City 1 is 48.75°F.

And now we can calculate the following values:

[tex]$|38-48.75|=10.75$[/tex]

[tex]$|66-48.75|=17.25$[/tex]

[tex]$|78-48.75|=29.25$[/tex]

[tex]$|47-48.75|=1.75$[/tex]

[tex]$|75-48.75|=26.25$[/tex]

[tex]$|35-48.75|=13.75$[/tex]

[tex]$|45-48.75|=3.75$[/tex]

[tex]$|56-48.75|=7.25$[/tex]

[tex]$|29-48.75|=19.75$[/tex]

[tex]$|49-48.75|=0.25$[/tex]

[tex]$|37-48.75|=11.75$[/tex]

And the mean absolute deviation is given by:

[tex]$M A D=\frac{\sum_{i=1}^{n}\left|X_{i}-\bar{X}\right|}{n}=\frac{160.5}{12}=13.375$[/tex]

The mean absolute deviation for the average monthly temperature in City 1 is  13.375°F

Answer:

[tex]A=745.06[/tex]

[tex]C=96.76[/tex]

Answer:

80

Step-by-step explanation:

sorry if wrong

Answer:

81 in^2

Step-by-step explanation:

Well the formula to find an area of a triangle is (bh) / 2

In this case the base is 18 and the height is 9

18*9=162

162/2=81

Answer:

81

Step-by-step explanation:

To find the area of a triangle, multiply the base (in this case 18) times the height (9). 18 times 9 is 162. Divide that by 2 to get the area of the triangle. 162/2=81

Answer:

1 x 24, 2 x 12, 3 x 8, and 4 x 6.

Hope this helps

Have a great day

Step-by-step explanation:

Answer:

8+8+8 is the answer give brainliest

Answer:

1 1/3

Step-by-step explanation:

Answer:

12/9= 1 and 1/3

Step-by-step explanation:

Answer:

The current vice president (as of 4-16-2021) of the U.S. is Kamala Harris. This is a non-statistical question.

Step-by-step explanation:

A statistical question can be answered by collecting data and where there will be variability in that data. The proposed question (Who is the current vice president of the U.S.?) does not allow for variability in the data as there is only one legitimate answer to the question, thus it is NOT a statistical question.

Answer: statistical question

Step-by-step explanation:

cause your asking the current vice president.

Answer:

The untrue statement is "B. This figure is a parallelogram"

Step-by-step explanation:

You know the figure isn't a parallelogram because parallelograms have no right angels, and this shape has two right angles.

Answer:

5/36

Step-by-step explanation:

Probability is the outcome that a  event will occur

Probability = Expected outcome/Total outcome

Since two sided dice are rolled, the total outcome will be expressed as;

Total outcome = 36

Since we are to find the probability that the sum is 8, the values that gives a sum of 8a re;

(2,6)(6,2), (5, 3), (3,5), (4, 4)

The expected outcome = 5

Probability = 5/36

Hence the probability that the sum is 8 is 5/36

Answer:

1.2%

Step-by-step explanation:

Answer:

(-3,2)

Step-by-step explanation:

you go to the left by 3 (negative), then you went up by 2 (positive). You always do x (horizontal) before y (vertical).

:)

Answer:

24.32x10^8

Step-by-step explanation:

3.8x10^2 and 6.4x10^6

Put in expression.

(3.8x10^2)+(6.4x10^6)

Remover parenthesis.

3.8x10^2+6.4x10^6

Rearrange so like terms are together.

(3.8x6.4)+(10^2x10^6)

Then combine like terms.

24.32x10^8

So that's the answer.

---

hope it helps

Answer:

7

Step-by-step explanation: