What is the volume of the triangular prism below?
3)
6 ft
10 ft
8 ft
6 ft
A) 120 ft
C) 112 ft
B) 162 ft
D) 144 ft

Step-by-step explanation:

Firtsly we know that the slopes must be perpendicular, which means the equations slope would be

[tex] - \frac{1}{2} [/tex]

Now with the slope we can find the y-intercept, which is

[tex]1[/tex]

Therefore the equation is

[tex]y = - \frac{1}{2} x + 1[/tex]

Answer:

5 boys play all the two games

25 boys play only one game

Step-by-step explanation:

Sets

There are two sets defined in the question: one for the boys who play hockey (H) and the other for the boys who play volleyball (V).

All the boys play at least one of the two games, so no elements are outside both sets.

There are 30 boys in total. 20 of them play hockey and 15 play volleyball. Since the sum of both numbers is greater than the total of boys, the difference corresponds to the boys who play both games.

Thus 20 + 15 - 30 = 5 boys play both games

Given that 5 boys are shared by both sets, from the 20 playing hockey, 15 play ONLY hockey. From the 15 boys playing volleyball, 10 play ONLY volleyball.

Thus 15 + 10 = 25 boys play only one game.

The Venn diagram is shown in the image.

Answer:

22.7?

Step-by-step explanation:

Answer:

$232.75

Step-by-step explanation:

Because the tax takes 30% of his pay, he will be left with 70%.

Multiply his pay by 0.7 to get the answer:

332.50 * 0.7 = 232.75

Hope that helps! :D

Answer:

The value of f is 80.6.

Step-by-step explanation:

We are given the equation and asked to solve for f.

If we are given a fraction with a variable in the numerator, we can multiply both sides of the equation by the denominator to isolate it.

For example, if you look at this equation:

[tex]\displaystyle\frac{a}{26}=17.9[/tex]

We can multiply both sides by 26 to get the a by itself so the equation can be solved.

[tex]\displaystyle26\times\frac{a}{26}=17.9\times26\\\\a = 465.4[/tex]

Therefore, we can apply this same technique to the equation [tex]\frac{f}{13}=6.2.[/tex]

[tex]\displaystyle\frac{f}{13}=6.2\\\\13\times\frac{f}{13}=6.2\times13\\\\f = 80.6\ \text{or} \ \frac{403}{5}[/tex]

Therefore, the value of f is 80.6.

Answer:

f = 80.6

Step-by-step explanation:

Multiply both sides by 13.

f /13 =6.2

( f /13 )*(13)=(6.2)*(13)

f = 80.6

Answer:

The formula for slope:

[tex]y2-y1/x2-x1[/tex]

so[tex](3-9)/(-10--15)[/tex]

which is

this:[tex]-6/5[/tex]

so the slope is

this:    [tex]-6/5[/tex]

Hope this helps :D

Answer:

The equation is;

y = (-x-23)/25

Step-by-step explanation:

The equation of a straight line can be given as y = mx + b

where m is the slope and b is the y-intercept

for y = 25x + 4

m is 25

Now, we need the slope of a line perpendicular to this,

If two lines are perpendicular, the result of the product of their slopes is -1

m1 * m2 = -1

25 * m2 = -1

m2 = -1/25

Mathematically, we have the slope in the point slope form as ;

y+3 = -1/25 (x - 2)

y = -x/25 + 2/25

y = -x/25 + 2/25 - 3

y = -x/25 -73/25

Answer:

x=80

Step-by-step explanation:

Answer:

call 911 if you are in a emergency.

Answer:

c

Step-by-step explanation:

y = -5/2 + b (substitute the co-ordinates in y and x)

5 = -5/2 × (-2) + b

5 = 5 + b

b = 5-5

b = 0

Answer:

8.02,8.025,8.2,8.225

Step-by-step explanation:

Answer:

m<DAG=25°

I want to explain why but I'm feeling too lazy right now. Basically by using vertical angles theorem and definition of congruent angles I solved it

Step-by-step explanation:

Answer:

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Step-by-step explanation:

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The required solutions,
(A) Association of the given expression gives 3060.402.
(B) Conversion of the word form of number into digit form gives 1700.003.

Decimal value is defined as showing the place value of the digits in a decimal number. If any proportion of the digit is lower than 1 it would be represented after the dot right to the absolute value,

Here,
A. 3,000 + 60 + 0.4 +0.002
Simplify the above expression by the association of the numbers,
3,000 + 60 + 0.4 +0.002 = 3060.402

B. One hundred seventeen and three-thousandths
Convert words to numbers,
= 1700.003

Thus, the required solutions,
(A) Association of the given expression gives 3060.402.
(B) Conversion of the word form of number into digit form gives 1700.003.

Learn more about decimal values here,

brainly.com/question/19802955

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As per linear equation, within 2.5 months, Rusty's hair will grow over  [tex]\frac{5}{8}[/tex] inches.

"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. When this equation is graphed, it always results in a straight line."

Given, the growth rate of Rusty's hair is [tex]\frac{1}{4}[/tex] inches per month.

Let, within 'x' months, her hair will grow [tex]\frac{5}{8}[/tex] inches.

Therefore, x ×  [tex]\frac{1}{4}[/tex]  =  [tex]\frac{5}{8}[/tex]

⇒ x = ( [tex]\frac{5}{8}[/tex] × 4)

⇒ x = 2.5

Therefore, within 2.5 months, Rusty's hair will grow over  [tex]\frac{5}{8}[/tex] inches.

Learn more about linear equation here: https://brainly.com/question/18761688

#SPJ2

Answer:

47.33

Step-by-step explanation:

I solved it on paper

Answer:

142/3 as a fraction cannot be divisible but 142/3 is equal to 47 1/3

Step-by-step explanation:

142/3=47.3333333

47.3333333333 = 47 1/3

Answer:

To find the price per spoon of brand A, divide the cost by the amount of spoons:

1.99 / 25 = 0.0796

Repeat this process for brand B:

3.89 / 42 = 0.0926

Brand A, at $0.08 a unit, is the better buy of brands A and B.

Answer:

20x^2 - 107x - 10.

Step-by-step explanation:

8x - 108x - 10 - (9x^2 + 7x -29x^2)

simplifying:

-100x - 10 - (7x - 20x^2)

20x^2-100x - 7x - 10

20x^2 - 107x - 10

Answer:

−9x

2

+x−8

Step-by-step explanation:

Answer:

[tex]n = - \frac{170}{3} [/tex]

Ayan po ng answer sana makatulong

#carrying_learning

32°

Step-by-step explanation:

Answer:

What do you mean???

Step-by-step explanation:

Answer:

41.57 in²

Step-by-step explanation:

Answer:

41.57 in² round it up and it's 42

Step-by-step explanation:

I just did it

Brainliest pls

[tex] \LARGE{ \underline{ \tt{Required \: answer:}}}[/tex]

It was started by a scientist Ivan Pavlov who was a russian physiologist who started the Behaviorist movement in psychology.

During the experiment:

Our Answer is:

⛱️ [tex] \large{ \blue{ \bf{FadedElla}}}[/tex]

Answer:

$7x+14.7x^2+22$

Step-by-step explanation:

Steps

$7x+14.7x^2+22$

Answer:

x < -115

General Formulas and Concepts:

Pre-Alg

Step-by-step explanation:

Step 1: Define inequality

-3 - x - 27 > 85

Step 2: Solve for x

Here we see that any number x smaller than -115 would work as a solution.

Answer:

Yes

Step-by-step explanation; vertical line test!!! have a great day

Answer: The probability of spinning a 3 is 1/9

Step-by-step explanation:

If there are 9 equal sections, that means there is an equal percent chance for each number to be landed on. Since there are 9 pieces, the denominator would be 9. There's a 1/9 chance because it is 1 section out of 9.