The bases of the prism below are right triangles. The volume of the prism is 360
units. Find the height of the prism.

Answer:

First, we need to find how many books there are in each group;

If we look at group 1, they have 18 books.

If we look at group 4, they have 9 books. (We got this because they have 6 whole books, and they have half of a those 6 books which is 3 books in the other book symbol, so combined: 6 + 3 = 9)

18(group 1) - 9(group 4) = 9, group 1 read 9 more books.

Answer:

⁰00000000⁰. woeidj.edj

Answer:

2

Step-by-step explanation:

| x | = 2

| x | is absolute value of x, which may be +ve, or, -ve as well.

x can be 2, or - 2.

But here, we are given with x > 0. It means x is greater than 0, it cannot be -ve.

So, x = + 2 = 2

Answer:

$7.61 per pound

Step-by-step explanation:

41.85/5.5 = 7.61

Answer:

7.6090909090909

Step-by-step explanation:

41.85 divided by 5.5= this and that's a way to find your answer.

And for the answers there is 5 09's.

so like 7.609

09 09 09 09 09

so=7.6090909090909

Hope it helps have a great day:)

Answer:

-2<x<1

Step-by-step explanation:

Substract  5 on both sides

-4I3+6X>-36    

Divide by -4(flipping sign)

I3+6xI <9

                        SPLIT

3+6x<9                                 3+6x> -9  ( you flip  back  )

6x<6                                       6x>-12

x<1                                             x>-2

A coffee's temperature changed by -54°F in =

[tex] = 22\frac{1}{2} \: minutes[/tex]

The temperature change in the coffee each minute :-

[tex] = - 54 \div 22\frac{1}{2} [/tex]

[tex] = - 54 \div \frac{(2 \times 22 + 1)}{2} [/tex]

[tex] = - 54 \div \frac{45}{2} [/tex]

[tex] = - 54 \times \frac{2}{45} [/tex]

[tex] = \frac{ (- 54 \times 2)}{ \: \: 45} [/tex]

[tex] = \frac{ - 108}{ \: \: \: 45} [/tex]

[tex]\color{magenta} = - 2.4°F[/tex]

Therefore , the temperature change in the coffee each minute was = -2.4°F .

Answer:

so graph your first point. (x=2, y=1)

Step-by-step explanation:

Your 5/3 is your rise over run. So go up 5 from 2 you should be at 7 and over 3 from your 1  so your next point would be (x=7, y=4) now get a ruler and connect your two points. make sure to use a ruler to make your line straight.  

To graph a line with a slope of 5/3 and passes through the point (2, 1), we can use the slope-intercept form of a linear equation, which is given by:

y = mx + b

where:

- y and x are the coordinates of any point on the line

- m is the slope of the line

- b is the y-intercept (the point where the line crosses the y-axis)

Given the slope (m = 5/3) and the point (2, 1), we can substitute these values into the equation and solve for the y-intercept (b):

1 = (5/3)(2) + b

1 = 10/3 + b

To isolate b, we subtract 10/3 from both sides:

1 - 10/3 = b

-7/3 = b

Now we have the values of m and b, so we can write the equation of the line:

y = (5/3)x - 7/3

To graph the line, we plot the y-intercept at (0, -7/3), and then use the slope (5/3) to find additional points on the line.

Since the slope is positive, we can move up 5 units vertically and 3 units horizontally from the y-intercept to find another point. We repeat this process to find more points if needed.

Thus, using this, one can plot the graph.

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Answer:

B

Step-by-step explanation:

Hope this helps

The sequence a_n = -2 - 51n is an arithmetic sequence

The 11th term of the sequence is -563

The nth term of the sequence is given as:

a_n = -2 - 51n

Substitute 11 for n to calculate the 11th term of the sequence

a11 = -2 - 51 * 11

Evaluate the product

a11 = -2 - 561

Evaluate the difference

a11 = -563

Hence, the 11th term of the sequence is -563

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Answer:

0,9

Step-by-step explanation:

Answer:

y=9

Step-by-step explanation:

In this equation you would add 9 to get the y on a side by itself that would get you 3y=27, then you would divide both sides by 3 and end up with your y-intercept to be 9.

Answer:

2

Step-by-step explanation:

Given that a=2 and b=3,

(3-2)×2

Hence,

1x2 = 2

Answer:

Step-by-step explanation:

Slope of perpendicular lines = -1

y = 5/2x + 3

[tex]m_{1}=\frac{5}{2}\\\\m_{1}*m_{2}=-1\\\\[/tex]

        [tex]m_{2}=[/tex] -1 ÷ [tex]m_{1}[/tex]

               = [tex]-1*\frac{2}{5}=\frac{-2}{5}[/tex]

(-3 , -5)

Equation of the required line: y - y₁ = m(x -x₁)

                                                y - [5] = [tex]\frac{-2}{5}(x - [-3])\\[/tex]

                                               [tex]y+5=\frac{-2}{5}x + 3*\frac{-2}{5}\\\\y+5=\frac{-2}{5}x-\frac{6}{5}\\\\ y =\frac{-2}{5}x-\frac{6}{5}-5\\\\ y = \frac{-2}{5}x-\frac{6}{5}-\frac{5*5}{1*5}\\\\ y = \frac{-2}{5}x-\frac{6}{5}-\frac{25}{5}\\\\\\ y=\frac{-2}{5}x-\frac{31}{5}[/tex]

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

Explanation:

Think of "eighths" as the name of a coin type.

The fraction 5/8 means "5 eighths" which we can think of as "5 coins".

Similarly, 1/8 can be thought of as "1 coin" because of 1 in the numerator.

We have two coins of the same type (both "eighths") which means we can combine the coin counts to get 5+1 = 6 coins total.

In other words, 1/8 + 5/8 = (1+5)/8 = 6/8

This is why we add the numerators but keep the denominators the same. If the denominators were different, then we cannot combine the fractions until we get them to the same denominator (such as the LCD).

Having different denominators is like adding apples to oranges. Unless we can somehow get them to the same unit, then adding wouldn't make much sense.

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

After adding, we need to reduce the result.

The numbers 6 and 8 have the common factor 2.

Divide each by this common factor.

You can write it like this if you wanted:

[tex]\frac{6}{8} = \frac{6 \div 2}{8 \div 2} = \frac{3}{4}[/tex]

Or in short,

[tex]\frac{6}{8} = \frac{3}{4}[/tex]

If you cut a pizza into 8 slices, and eat 6 of them, then it's the same as eating 3 out of 4 total slices. That's one visual way to represent the fraction 6/8 turning into 3/4.

Answer:

x/8

Step-by-step explanation:

how I see the problem I just put the 1 over the 8 because you can't really do anything else with the problem

The inverse f'^{-1}x of the given function is x/8

Given the function y = 8x, we are to find the inverse of the function.

Replace y with x

x = 8y

Make y the subject of the formula

x = 8y

Divide both sides by 8\

x/8 = 8y/8

x/8 = y

Swap sides

y = x/8

Hence the inverse f'^{-1}x of the given function is x/8

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The expression 2/3a -7+7/18a-5 1/6 is an illustration of fractions

The simplified expression of 2/3a -7+7/18a-5 1/6 is 19/18a  -73/6

The expression is given as:

2/3a -7+7/18a-5 1/6.

Collect like terms

2/3a -7+7/18a-5 1/6 = 2/3a + 7/18a-7-5 1/6.

Express mixed fractions as improper fractions

2/3a -7+7/18a-5 1/6 = 2/3a + 7/18a - 7 - 31/6.

Evaluate the sum and difference

2/3a -7+7/18a-5 1/6 = 19/18a  -73/6

Hence, the simplified expression of 2/3a -7+7/18a-5 1/6 is 19/18a  -73/6

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Explanation:

The angles marked with a single arc are one pair of congruent angles forming one "A" of "ASA".

The other "A" is the angles marked with double arcs.

The "S" refers to the sides between those said angles. These sides overlap perfectly so we have a shared side, meaning they must be the same length (refer to the reflexive property).

This is why the triangles are congruent by the ASA (angle side angle) congruence theorem. One triangle is a reflected version of the other. The mirror line being that shared overlapping side. Congruent triangles are like twin identical copies.

answer:  5.4264  

Hope i helped!

Answer:

n = 5

Step-by-step explanation:

180(n − 2) = s

180(n − 2) = 540

180n - 360 = 540

180n - 360 + 360 = 540 + 360

180n = 900

(1/180) 180n = 900 (1/180)

n = 5

Answer:

x + 6xy + y

Step-by-step explanation:

Gather the like terms:

5x - 4x = x

-2xy + 8xy = 6xy

hence, we got x +6xy +y

Answer:

the first : all real numbers

Step-by-step explanation:

the domain is the interval or set of all valid values for x.

reflecting the graph over the x-axis simply means to multiply the original function by -1.

that does not change the domain in any case. it only changes the range (the interval or set of possible y values).

so, the domain is the same as for the original function : all real numbers.

Answer:

y=8(-5)

Step-by-step explanation:

Im not so sure :/

Answer:

p = 73°

Step-by-step explanation:

The sum of the interior angles of every triangle is always 180°

p = (180 - 34 - 73)° = (180 - 107)° = 73°

Hope this helps

Answer:

T

Step-by-step explanation:

the sender conveys an idea or concept, seeks information, or expresses a thought or emotion, and the receiver gets that message.

Answer:

An Algebraic Expression that models the situation is [tex]4750+p-c-d+r[/tex]

Step-by-step explanation:

Beginning balance of Jennifer=$4750

Now she deposits a paycheck = p

So, New balance = 4750+p

Now she writes a check = c

Remaining balance = 4750+p-c

Now she writes a check = d

Remaining balance = 4750+p-c-d

Now refunded some money (r) for returning a pair of shoes she bought.

New balance = 4750+p-c-d+r

Hence  an Algebraic Expression that models the situation is [tex]4750+p-c-d+r[/tex]

Answer:

w=67°

Step-by-step explanation:

First you solve for x. 12x+11=x. X would be 1. Then you plug in 1 for x and add the w to the equation. 12(1)+11+w=90. after solving that you will get the total for w. which should be 67°

Answer:

Step-by-step explanation:

We observe on the picture that:

Therefore

Answer:

y = 5x +23

Step-by-step explanation

y = mx + b

the gradient ; m = 5 (given)

to find y=int, b, plug in the coordinate into y = mx + b;

3 = 5(-4) + b

3 = -20 + b

b = 23

so, we got y = 5x + 23

Answer:

1/6

Step-by-step explanation:

There are 4 primes. So the probability for the first draw is 4/9. Since the card is not replaced, the second probability is 3/8. 3/8 * 4/9 is 12/72, which simplifies into 1/6.

Answer:

1/6

Step-by-step explanation:

There are 4 possible primes: 2, 3, 5, 7

First card has 4/9 probability of being a prime. Second card has 3/8 probability of being a prime(since 3 prime cards left and 8 total cards left because we do not replace the first card). 4/9 * 3/8 = 1/6.

Another way to do this is using combinatorics. C(9,2) = 36 ways to choose 2 distinct cards, C(4,2) = 6 ways to choose two of the "prime" cards. 6/36 = 1/6.

Answer:

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

Step-by-step explanation:

To solve this, you have to use the formula [tex]\frac{x_{2} -x_{1} }{y_{2} -y_{1}}[/tex] to find the slope.

[tex]\frac{0+4}{-8-0}[/tex] = 4/-8 = -1/2

so the slope is -1/2

Now, you plug your values into the formula y=mx+b

m = slope = 1/2

b = y-intercept = -8

so the final formula is y=[tex]\frac{1}{2}[/tex]x-8

Answer:

A 5/6 ÷ 1/12 = 10

Step-by-step explanation:

Let the full tank be represented with 'Y'

Feliz's car is 5/6 full

Whenever he drives To and From work he uses 1/12 of the full tank gas.

That is 1/12 of y

Since the tank was 5/6 full before his journey to and from work, the number of time he can use the gas will be

5/6 ÷ 1/12

5/6×12/1

= 10

Feliz can drive to or from work with his gas tank 10 times.

Answer:

C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

[tex](-3, 5)[/tex]

Step-by-step explanation:

Isolate x from the first equation:

[tex]x=\frac{11-4y}{3}[/tex]

Now, substitute it in  the second equation:

[tex]\begin{bmatrix}2\cdot \frac{11-4y}{3}+y=-1\end{bmatrix}[/tex]

This gives you:

[tex]\begin{bmatrix}\frac{22-5y}{3}=-1\end{bmatrix}[/tex]

So, you conclude: y = 5

Next, we substitute y = 5 into [tex]x=\frac{11-4y}{3}[/tex]

So, we get:

[tex]x=\frac{11-4\cdot \:5}{3}[/tex]

Then:

[tex]x=-3[/tex]

Finally, we have to put it into the coordinate form:

[tex](-3, 5)[/tex]