Which of the following correctly lists angle pairs that have sums of 180° and 90°?

Answer:

Main part of backpack V = 840 inᶾ

Front pocket of backpack V = 64 inᶾ

Top curve of the backpack V = 395.8406744 inᶾ

Total V = 1299.840674 inᶾ

Step-by-step explanation:

1.

As we know, the formula for the volume of a rectangular prism is width x height x length (V = whl).  We will use this formula to find the volume of the large rectangular prism (bottom part of the backpack) and the volume of the smaller rectangular prism (the pocket).  As for the cylinder, we know the formula for the volume of a cylindrical prism is pi x radius squared x height (V = πr^2h).  We will use this formula to find the volume of the half cylinder (top curve of the backpack).

2.

For the large rectangular prism (main part of the backpack), we are given:

w = 7in

h = 10in

l = 12in

Now let's incorporate our formula for the volume of a rectangular prism into this situation.

V = whl

V = 7 x 10 x 12

V = 840 inᶾ

3.

Now for the smaller rectangular prism (front pocket of backpack), we are given:

w = 2in

h = 4in

l = 8in

Now let's incorporate our formula for the volume of a rectangular prism into this situation.

V = whl

V = 2 x 4 x 8

V = 64 inᶾ

4.

Now to calculate volume for the half cylinder (top curve of the backpack), we must first imagine that this is a full, circular cylinder.  We are given:

r = 6in

h (which will be the same as the width of the backpack in this case scenario) = 7in

Now let's incorporate our formula for the volume of a rectangular prism into this situation.

V* = πr^2h

V* = π x 6^2 x 7

V* = 791.6813487 inᶾ (round this number if you must)

Now that we have the volume of a whole cylinder, we can halve it (divide by two) since we only need half of the cylinder.

V = V*/2

V = 791.6813487/2

V = 395.8406744 inᶾ (round this number if you must)

5.

Finally, we can add our volumes together to acquire the volume of the backpack as a whole!

Large rectangular prism (bottom part of the backpack) + Smaller rectangular prism (the pocket) + Half cylinder (top curve of the backpack) = Total Volume (Whole backpack)

Recall that:

Large rectangular prism (bottom part of the backpack) = 840 inᶾ

Smaller rectangular prism (the pocket) = 64 inᶾ

Half cylinder (top curve of the backpack) = 395.8406744 inᶾ

So:

Total Volume (Whole backpack) = 840 inᶾ + 64 inᶾ + 395.8406744 inᶾ

Total Volume (Whole backpack) = 1299.840674 inᶾ (round this number if you must)

Answer:

1.68% of people would want a longer day

20% of people would want more foreign languages

24.6% of people would want more science

25.8% of people would want longer lunch

27.92% randomly selected

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

1   put in  16 for x

   5/4 (16) + 7 = 27 pounds  at 16 months  

2  5/4 would be the pounds an infant should put on each month

3  7 would be when the infant is born ( x = month 0)     7 pound birthweight

Answer:

See below

Step-by-step explanation

Step-by-step explanation:

1   put in  16 for x

  5/4 (16) + 7 = 27 pounds  at 16 months  

2  5/4 would be the pounds an infant should put on each month

3  7 would be when the infant is born ( x = month 0)     7 pound birthweight

Answer:

5/8 63% or .625

Step-by-step explanation:

Done.

Answer:

A has been reflected over the x-axis

B has been reflected over the y-axis

C has been reflected over the x-axis

Step-by-step explanation:

Answer:

B) x²+2x-35=0; the factors are (x+7)(x-5)

Step-by-step explanation:

The quadratic equation which has the solutions as x = -7 and 5 may be x² + 2x - 35 = 0, the factors are (x + 7) and (x - 5) and (x + 7)(x - 5) = x² + 2x - 35.

Quadratic equations are polynomial equations of second degree.

The general form of a quadratic equation is ax² + b x + c = 0.

Given that,

a quadratic equation has the solutions x = -7 and 5.

There are two options, x² + 2x - 35 and x² - 2x - 35

Using the factorization method, a quadratic equation ax² + b x + c = 0 can be factored as (x + p)(x + q) where pq = c/a and p + q = b/a.

Consider, x² + 2x - 35 = 0

There are numbers 7 and -5 that 7 - 5 = 2 and 7 × -5 = -35

So it can factored as,

(x + 7) (x - 5) = 0

Solutions are x = -7 and x = 5

Hence the quadratic equation is x² + 2x - 35 = 0.

Learn more about Quadratic Equations here :

https://brainly.com/question/30098550

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Answer: 4 inches

Step-by-step explanation: 1,944 / 18/ 9 / 1/3 = 4

Based on the calculations, the height of this pyramid is equal to: D. 36 inches.

Given the following data:

Mathematically, the volume of a pyramid is calculated by using this formula:

Volume = 1/3 × b × h

Where:

For the base area, we have:

Base area = length × breadth

Base area = 18 × 9

Base area = 162 square inches.

Substituting the given parameters into the formula, we have;

1,944 = 1/3 × 162 × h

1,944 = 54h

h = 1,944/54

Height, h = 36 inches.

Read more on pyramid here: https://brainly.com/question/2797351

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Answer:

B

Step-by-step explanation:

divide 4 and 12 by 4 and get 1/3

Answer:

$537.50

Step-by-step explanation:

So . .

Then . .

7.5 is for 1 year so

Then just add 37.50 to 500

Answer: He will have 3750 in 5 years.

Step-by-step explanation: You need to do 500x1.5x5. 500 dollars is the amount in the account. 1.5 is the interest. 5 is the amount of years.

Answer:

5. Area = 28.5 cm; 6. Area = 544,500 cm

Step-by-step explanation:

Area = Length×Width

5. You have to convert the mm to cm by dividing the mm by 10. Then just multiply the length and width.

6. Same thing; different unit, convert the m to cm (or vice versa, not sure which unit you need to answer in) and multiply the length and width.

Answer:

5. Area = 28.5 cm; 6. Area = 544,500 cm

Step-by-step explanation:

When referring to a dot plot, scatter graph, or scatter plot such as this one, the line that represents the averages of all Y values is known as a line of best fit.

Hope this helps,

Jeron

:)

Answer:

When referring to a dot plot, scatter graph, or scatter plot such as this one, the line that represents the averages of all Y values is known as a line of best fit.

Step-by-step explanation:

Answer:

It would be 1/4 or 25%

Step-by-step explanation:

done this before

Answer: 1/3

Step-by-step explanation:

The correct answer to this question is a 1/3.

Hope this helps a lot of people (please like and give brainliest)!

Answer:

1) cash

2) automatic payment

Answer:for the 3rd ques the answer is number 2

Step-by-step explanation:

Answer:

answer is A cause white cars are cheaper

Step-by-step explanation:

they are cheaper than colored cars

Answer:

I would say c

Step-by-step explanation:

In the chart given when you compare the blue and silver cars, you can notice that the silver cars are twice the amount sold than the blue cars

Answer:

1st box: 6/9

2nd box: 1/9

3rd box: 5/9

Step-by-step explanation:

Finding the LCD is pretty simple here, it has to at least be the highest denominator, which is 9, and since 3 goes into 9 evenly we get a LCD of 9.

Then to make the fractions correct we do 2/3 x 3/3 which is 6/9.

So now we figure out 6/9 - 1/9 which is just subtracting the numerator so 6/9 - 1/9 = 5/9 and since that is the most it can be simplified, 5/9 is our answer. Hope this helps!

Answer:

6/9

1/9

5/9

What is a least common denominator?

Well, a least common denominator is the smallest number of all the common multiples of the denominators when 2 or more fractions are given.

Find LCM(3, 9)

3: 3, 6, 9,

9: 9

2/3 =   2/3  × 3/3 =  6/9

1/9 =    1/9 × 1/1 =  1/9

2/3 = 6/9

1/9 = 1/9

6/9 - 1/9 = 5/9

Therefore the answers are in bold.

Answer:3

Step-by-step explanation:

1) 70%

2) 62.5

3) GREATER THAN

Answer:

32%

20%

greater than

Step-by-step explanation:

The experimental probability of the event is  32% and the theoretical probability of the event is  20%. Therefore, the experimental probability is  greater than the theoretical probability.

Answer:

B. 2nd Play and B. 2nd Play

Step-by-step explanation:

#1) Going negative means going backwards.

-8<10.5

#2) Absolute value means making all numbers INSIDE the two lines positive.

I-8I = 8

I10.5I = 10.5

Answer:

3 kg of copper,

1.25 kg of nickel,

0.75 kg of zinc.

Step-by-step explanation:

i'm assuming you copied the question wrong and that the right metals are, copper, nickel* and zinc.

here's an explanation~

copper ; 12 x 1/4 = 3 kg

nickel ; 5 x 1/4 = 1.25 kg

zinc ; 3 x 1/4 = 0.75 kg

i hope this was helpful! <3

Answer:

642.96

Step-by-step explanation:

To find the surface area"

[tex]SA=2lw+2lh+2wh[/tex]

Insert measurements into the equation:

[tex]SA=2*17\frac{2}{5}*3+2*17\frac{2}{5}*13.2+2*3*13.2[/tex]

Now to go through the very tedious steps of actually solving the equation (we got this!)

Next: Addition

And we have our answer!

I hope this helps and please feel free to comment, give feedback, ask questions, and correct me if I am wrong!

Have a great day

:)

Answer:

5.5

Step-by-step explanation:

2,3,3,4,5,7,8,8,8,10,10,12

The mean of this data is 7.5.  So what you are trying to figure out is the mean between 2 and 7.  Since that is 3 and 4 it would be 3.5.  So 3.5 is the Q1.  Now you have to figure out the mean between 8 and 12.  That is 9.  This is Q3.  You have to subtract 9-3.5 and that is the interquartile range. So 5.5 is the answer.  I hope that made sense.

The answer is 1/4

Step-by-step explanation:

All you had to do was make 1/3, 4/12 subtract 7/12 by 4/12 = 3/12 or 1/4!

Answer:

2

Step-by-step explanation:

The range of probability of an event lies between 0 and 1.

Hence, 2 cannot be the probability.

Answer:

  (c)  -2/5

Step-by-step explanation:

A "zero" or "root" or "x-intercept" of a function is a value of the independent variable (x) that makes the function (f(x)) have a value of zero. It is found where the graph of the function crosses the x-axis.

A quadratic function will have two (2) zeros. If they are different, one will be smaller than the other (leftmost on the number line).

You may recognize that 25x² and 4 are both perfect squares, (5x)² and 2², respectively. That means the expression (25x² -4) is the difference of squares.

The difference of squares is a special polynomial form, useful for the way it factors:

  a² -b² = (a -b)(a +b)

Here, that means the factored form of f(x) is ...

  f(x) = (5x -2)(5x +2)

The "zero product rule" says a product can only be zero if one or more factors is zero. This is exceptionally useful for determining the zeros of a polynomial function from its factored form.

It tells us f(x) = 0 only when one of (5x-2) = 0, or (5x+2) = 0. These are simple equations to solve to find the corresponding values of x:

  5x -2 = 0   ⇒   5x = 2   ⇒   x = 2/5

  5x +2 = 0   ⇒   5x = -2   ⇒   x = -2/5

The above tells us the zeros of f(x) are -2/5 and 2/5. These values of x make f(x) = 0. The smaller zero is the one that is more negative: -2/5.

  smaller zero: -2/5

__

Additional comment

A polynomial may have complex zeros. Only the real zeros will be x-intercepts on a graph of the function. Complex zeros must be found another way, not by graphing.