What is the volume of the following rectangular prism?

Answer:

SAS

Step-by-step explanation:

Answer:

x = 44, y = 37

Step-by-step explanation:

∠1 and ∠ 4 are adjacent angles and are supplementary, thus

3x + 4 + x = 180

4x + 4 = 180 ( subtract 4 from both sides )

4x = 176 ( divide both sides by 4 )

x = 44

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

∠ 1 and ∠ 3 are vertical angles and congruent, thus

4y - 12 = 3x + 4 = 3(44) + 4 = 132 + 4 = 136 ( add 12 to both sides )

4y = 148 ( divide both sides by 4 )

y = 37

Answer:

y=mx+b

Step-by-step explanation:

Hope this helps.

Answer: x = 2, -4

Step-by-step explanation:

The zeros of a function are where the function crosses the x-axis, in this case, the function crosses the x-axis at 2 and -4, so 2 and -4 are the zeros of this function.

Hope this helps.

Answer:

By definition, the zeros of a function f(x) are all the values x for which f(x) = 0. In other words, the zeros of a function f(x) are the intersections of the graph of f(x) with the axis of x. Therefore, to identify the zeros of the function shown, identify the values of x in which the graph intersects the horizontal axis.

Answer:

0.1, 1/2, 0 .7 , 3/4

Step-by-step explanation:

3/4, 0.7, 1/2 , 0.1

Change the numbers to the same form

3/4 = .75   1/2 = .5

.75 , .7  , .5   , .1

We want the numbers from least to greatest or smallest to biggest

.1 is the smallest

then .5

then .7

then .75

Changing the numbers back to the original form

0.1, 1/2, 0 .7 , 3/4

Answer:

0.1, 1/2, 0.7, 3/4

Step-by-step explanation:

3/4, 0.7, 1/2 , 0.1

Convert into decimals

0.75 , 0.7 , 0.5 , 0.1

0.1 , 0.5 , 0.7 , 0.75

Answer:

(x-1)(x+3)

Step-by-step explanation:

The area of the big green rectangle is just x(x+2) which is [tex]x^2+2x[/tex]. (Excluding the interior rectangle) The shaded area is just this minus three which is [tex]x^2+2x-3[/tex]. In factored form this is (x-1)(x+3).

Hope this helps!

Answer:

.0833333%

and

8 1/3 %

Step-by-step explanation:

Common sense

Answer:

8 1/3

&

0.8333333333

Step-by-step explanation:

Answer:

2 dots on 20

0 dots on 21

3 dots on 23

8 dots on 25

2 dots on 26

6 dots on 27

Step-by-step explanation:

Answer:

y = -6.5 and x = 2

Step-by-step explanation:

Let one negative number be -y and another number be x

We are given that one negative number is 4.5 more than another number

So, -y=x+4.5

We are also given that The sum of the squares of these numbers is 46.25.

So,[tex]x^2+(-y)^2=46.25\\x^2+(x+4.5)^2=46.25\\x^2+x^2+20.25+18x=46.25\\2x^2+18x=26.25\\x^2+9x=13.125\\x^2+9x-13.125=0\\[/tex]

x=-6.5,2

When x = -6.5

-y=x+4.5

-y=-6.5+4.5

-y=-2

y=2

When x = 2

-y=x+4.5

-y=2+4.5

-y=6.5

y=-6.5

So, y = -6.5 and x = 2

Answer:

75 is the length of the third side

Answer:

The unknown side to the triangle is 75 cm.

Step-by-step explanation

Let x be the length of the unknown side:

x^2 + 40^2 = 85^2

x^2 + 1600 = 7225

x^2 = 7225 - 1600

x^2 = 5625

x = 75

Answer:

0.03

Step-by-step explanation:

6 is greater then 5, so you add 1 to 2 making 0.03

Answer:

0.03

Step-by-step explanation:

the digit after the first 2 is a 6 and you always round up so it would be 0.03.

Answer:

6 and 3/4

Step-by-step explanation:

add all of the ones before 2 1/2

Answer:

19.44

Step-by-step explanation:

We have the following information:

3 red balls, 5 green balls, and 1 yellow ball

In total there are 3 + 5 + 1 = 9 balls.

We calculate the probability of each:

Network: 3/9

Green: 5/9

Yellow: 1/9

Each one corresponds a price in profit or losses:

Network: 4

Green: -3

Yellow: 10

So in total it would be the sum of the multiplication of the probability and the price and then multiply everything by 25:

(4 * 3/9 + -3 * 5/9 + 10 * 1/9) * 25 = (0.777) * 25

= 19.44

Answer:

The members slope is flatter by half compared to the non-members slope. The graphs intersect at 600 tokens and $120. Until that point the cost for non-members is less than the cost for members. After 600 tokens the cost for members is less than the cost for non-members.

Step-by-step explanation:

I hope I have your equations correct:

Member:

y = 1/10x + 60

Non-Member:

y = 1/5x

The graph of a non-member yearly cost will have a slope of 1/5 and a y-intercept, of 0 while the graph of a member's yearly cost will have a slope of 1/10 and a y-intercept of 60 tokens.

According to the question;

In essence; the mathematical equation for a member is;

For a non-member;

Ultimately, the graph of a non-member yearly cost will have a slope of 1/5 and a y-intercept, of 0 while the graph of a member's yearly cost will have a slope of 1/10 and a y-intercept of 60 tokens.

Read more on graphs of straight line;

https://brainly.com/question/14808962

Answer:

The equation for this would be x + 15 = 58.

Step-by-step explanation:

"More than" would refer to addition. So 15 more than x would be x + 15.

"Is" means "equals", so when they say "is 58" it means "equals 58."

Put it all together: x + 15 = 58.

Answer:

58-15=43

x=43

if you want an equation:

x+15=58

Answer:

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

In this question the slope would be 5.

y= mx + b is the equation being used.

y = 5x -1

m = slope

Answer:

5

Step-by-step explanation:

Answer:

I think it is A but the other person might be right

Answer:

The answer is 14 quarters and six dimes

Step-by-step explanation:

-.1(D+Q=20)

.10D+.25Q=4.10    -.1D-.1Q=-2

                             .1D+.25Q=4.10

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

                            .15Q=2.10/.15(both sides)

Q=14 which leaves you needing 60 more cents so 6 dimes

Answer:

6 dimes and 14 quarters

Step-by-step explanation:

x+y=20

0.1x+0.25y=4.1

We can multiply all the numbers in the second equation by 20 to get 2x+5y=82.

Then isolate y to get y=20-x.

Substitute y for 20-x in equation 2 to get 2x+5(20-x)=82

2x+100-5x=82

-3x+100=82

-3x=-18

x=6, and y=20-6, which is 14.

So, Lulu has six dimes and 14 quarters.

Answer:

The growth rate is 35%

Step-by-step explanation:

We are given that the amount of people in a population can be determined by using the model :

[tex]y=1000(1.35)^x[/tex]

Formula of exponential growth : [tex]y=a(1+r)^t ----1[/tex]

Where y is the population in t years

a = Initial population

r = growth rate

The given equation can be written as [tex]y=1000(1+0.35)^x[/tex]

Om comparing it with 1

r = 0.35

So, Growth rate = 35%

Hence The growth rate is 35%

Answer:

x = 65

Step-by-step explanation:

2x + 15 and 145 are vertical angles and congruent, thus

2x + 15 = 145 ( subtract 15 from both sides )

2x = 130 ( divide both sides by 2 )

x = 65

Answer:65

Step-by-step explanation:

2x+15=145. Because opposite angles are equal

2x+15=145

Collect like terms

2x=145-15

2x=130

Divide both sides by 2

2x/2=130/2

x=65

Answer:

D

Step-by-step explanation:

multiply it out

(3x-2) (4x+5) =

12x^2 +15x - 8x -10

= 12x^2 + 7x - 10

Answer:  Region I and III

Step-by-step explanation:

The Union includes all the members of set A and set B

Region II is also part of that union, but alone, Region II is the intersection.

Answer:

M = 5

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−5−5m=−6m

−5+−5m=−6m

−5m−5=−6m

Step 2: Add 6m to both sides.

−5m−5+6m=−6m+6m

m−5=0

Step 3: Add 5 to both sides.

m−5+5=0+5

m=5

Answer:

Isnt the best way to explain a question

Step-by-step explanation:

But mostly the first row would be F,M,F,F,M

Answer:

I think the answer is x is 16 and y is 20? I could be wrong tho

Step-by-step explanation:

First, subtract -7 from -1 to get 8.

Then, add the 12 and you get 16 for x.

First, subtract 7y from 9x to get 2y

Then, add 4 to get 20 for y.

Answer:

See explanation

Step-by-step explanation:

[tex] In\: \triangle ABC \:\&\: \triangle EDC\\

\angle ABC \cong \angle EDC... (Right \: \angle s) \\

\angle ACB \cong \angle ECD... (Vertical \: \angle s) \\\therefore \triangle ABC \sim \triangle EDC... (By\: AA\: Postulate) \\[/tex]