What is the volume of the prism? (4 points)

A rectangular prism with cubic units arranged in five rows of four. Each cubic unit is one cubic inch.

a
10 cubic inches

b
20 cubic inches

c
40 cubic inches

d
80 cubic inches

Answer:

6 inches = 152.4 mm

Step-by-step explanation:

Answer:

Hey mate.......

Step-by-step explanation:

This is ur answer.....

Hope it helps!

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Explanation:

We could add 9 to both sides, and then apply the square root to both sides. Don't forget about the plus minus

x^2 - 9 = 0

x^2 = 9

x = sqrt(9) or x = -sqrt(9)

x = 3 or x = -3

To check these answers, you replace x with those values we found. I'll show you how to check x = 3

x^2 - 9 = 0

(3)^2 - 9 = 0

9 - 9 = 0

0 = 0

So that confirms x = 3. The confirmation for x = -3 is nearly the same. Keep in mind that (-3)^2 = (-3)(-3) = 9. You'll be squaring the negative as well.

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Another method you could do is to use the difference of squares rule

x^2 - 9 = 0

x^2 - 3^2 = 0

(x - 3)(x + 3) = 0

Now apply the zero product property. This effectively means you set each factor equal to zero and solve for x

x-3 = 0 or x+3 = 0

x = 3 or x = -3

We end up with the same solution set.

Yet another method you could use is the quadratic formula, but that may be overkill. It's still good practice to do.

Graphing is a visual way to find the answers. You'll graph y = x^2 - 9 and look to see where the curve crosses or touches the horizontal x axis.

Answer:

y=-4x+2

and

x= y-2/-4

Step-by-step explanation:

you have y,

y= -4x+2

to solve for x, follow this...

y = -4 x + 2

-2           -2

y - 2 = -4 x

/-4         /-4

x= y-2/-4

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If they are instead asking for x and y-intercepts, that is different.

If you think I made an error, tell me and I'll fix it, but I can't fix it if you flag my answer.

Answer:

I think lll

Step-by-step explanation:

Answer:

3. All squares are parallelograms

Step-by-step explanation:

They all will have opposite sides that are always parallel

Given:

The figure of a right triangle.

To find:

All the six trigonometric ratios for the angle θ.

Solution:

Using the Pythagoras theorem, we get

[tex]Hypotenuse^2=Perpendicular^2+Base^2[/tex]

[tex]Hypotenuse^2=(9)^2+(12)^2[/tex]

[tex]Hypotenuse^2=81+144[/tex]

[tex]Hypotenuse^2=225[/tex]

Taking square root on both sides, we get

[tex]Hypotenuse=15[/tex]

Now, the six trigonometric ratios for the angle θ are:

[tex]\sin\theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]\sin\theta=\dfrac{12}{15}[/tex]

[tex]\sin\theta=\dfrac{4}{5}[/tex]

[tex]\cos\theta=\dfrac{Base}{Hypotenuse}[/tex]

[tex]\cos\theta=\dfrac{9}{15}[/tex]

[tex]\cos\theta=\dfrac{3}{5}[/tex]

[tex]\tan\theta=\dfrac{Perpendicular}{base}[/tex]

[tex]\tan\theta=\dfrac{12}{9}[/tex]

[tex]\tan\theta=\dfrac{4}{3}[/tex]

[tex]\csc\theta=\dfrac{1}{\sin \theta}[/tex]

[tex]\csc\theta=\dfrac{1}{\dfrac{4}{5}}[/tex]

[tex]\csc\theta=\dfrac{5}{4}[/tex]

[tex]\sec\theta=\dfrac{1}{\cos \theta}[/tex]

[tex]\sec\theta=\dfrac{1}{\dfrac{3}{5}}[/tex]

[tex]\sec\theta=\dfrac{5}{3}[/tex]

[tex]\cot\theta=\dfrac{1}{\tan \theta}[/tex]

[tex]\cot\theta=\dfrac{1}{\dfrac{4}{3}}[/tex]

[tex]\cot\theta=\dfrac{3}{4}[/tex]

Therefore, the six trigonometric ratios are [tex]\sin\theta=\dfrac{4}{5},\cos\theta=\dfrac{3}{5},\tan\theta=\dfrac{4}{3},\csc\theta=\dfrac{5}{4},\sec\theta=\dfrac{5}{3},\cot\theta=\dfrac{3}{4}[/tex].

Answer:

1,420 grams per 100 baseballs

Step-by-step explanation:

Set up an equation:

Variable x = grams per 100 baseballs

1/14.2 = 100/x

Cross multiply

1 × x = 14.2 × 100

1x = 1420

x = 1420

x = 36

Step-by-step explanation:

The angles 4x and x are supplementary, meaning they add up to 180; therefore we have

[tex]4x + x = 180[/tex]

[tex]5x = 180[/tex]

dividing both sides by 5 gives

[tex]x = 36[/tex]

the measure of angle x is 36 and that of 4x is 4 * 36 = 144

The angle opposite to 4x also measures 144 and the one opposite to x is 36.

Answer:

x° + 4x° = 180°

5x° = 180°

x° = 180°/5

x° = 36°

2/5 , 1/2 , 7/10 , 10/7 , 3/1

Step-by-step explanation:

hope this helped

Answer:

Step-by-step explanation:

640 calories

Answer:

36.5miles/gallon

Step-by-step explanation:

Given the equation y=36.5x which represents the number of miles, y, that Katherine can drive her car for every, x, gallons of gas. The rate of change of the function is expressed as dy/dx

On differentiating the function;

dy/dx = 36.5

Hence the rate of change of the function is 36.5miles/gallon

Answer:

$m + $12 = $26

Or

m + 12 = 26

Step-by-step explanation:

Amount spent by Richard = $m

Amount spent by Jordan = $12

Total amount spent together = $26

An equation that describes this situation would be:

$m + $12 = $26

Or

m + 12 = 26

Answer:274887.52

Step-by-step explanation:y= (a+1)^t

411/60= 6.85 hours

8900(1+.65)^6.85

274887.52

Answer:

The next year population is 122,689

Step-by-step explanation:

The computation of the next year population is as follows:

= This year population × increase percentage

= 119,000 × (1 + 0.031)

= 119,000 × 1.031

= 122,689

Hence, the  next year population is 122,689

The above formula is applied so that the correct value of the population could come

and the same is relevant

- Hope this helped! ^ω^

Step-by-step explanation:

profit =profit% of cp=15/100×300=Rs45

SP=CP+profit=300+45=Rs345

The rate of change is the slope. The slope is the number in front of the x

Function 1 rate of change is -1/2

Function 2 rate of change is -3/4

The greater rate of change would be the steepest slope.

Function 2 has the greater rate of change

See the attached picture.

Answer:

S₁₅ = 645

Step-by-step explanation:

The sum to n terms of an arithmetic sequence is

[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Using the nth term formula [tex]a_{n}[/tex] = 5n + 3 , then

a₁ = 5(1) + 3 = 5 + 3 = 8

a₂ = 5(2) + 3 = 10 + 3 = 13 , then

d = a₂ - a₁ = 13 - 8 = 5

Thus

S₁₅ = [tex]\frac{15}{2}[/tex] [ (2 × 8) + (14 × 5) ]

     = 7.5( 16 + 70)

     = 7.5 × 86

     = 645

Answer:

what r u even saying

Step-by-step explanation:

Answer:

[tex]\boxed {\boxed {\sf 87 \ degrees}}[/tex]

Step-by-step explanation:

The angles in a triangle must add to 180 degrees.

We are given three angles: 2x+6, x, and 3x. Their sum must be 180, so we can create an equation.

[tex]2x+6+x+3x=180[/tex]

Combine like terms (all terms with an x) on the left side.

[tex](2x+x+3x)+6=180[/tex]

[tex]6x+6=180[/tex]

Now solve for x by isolating the variable.

6 is being added and the inverse of addition is subtraction. Subtract 6 from both sides.

[tex]6x+6-6=180-6\\6x=174\\[/tex]

x is being multiplied by 6. The inverse of multiplication is division. Divide both sides by 6.

[tex]6x/6=174/6 \\x=29[/tex]

Substitute 29 for x in the angle measures.

The largest angle is 87 degrees.

Answer:

45%

Step-by-step explanation:

45 out of 100 equals 45%.

Answer:

F.

Step-by-step explanation:

Everything has to be less than 4 which leaves us with C and F, but Fs dot is shaded in which means it is less than or equal to but it is only less than so it is F.

Answer:

F

Step-by-step explanation:

If you look x is less than 4 meaning that all values are lower than 4. We also know that 4 is not included due to the fact that the less than symbol doesn't have a line under it. F is the only line that meets all of the criteria.

Answer:

3 grey and 1 red

Step-by-step explanation:

5 x 3 = 15

15 + 7 = 22

Answer:

s would equal 13

Step-by-step explanation:

Hello there!

So to find the value of s when q=1 we just have to plug in 1 into q into the expression s=5q+8

so when q=1

s=5(1)+8

5*1=5

5+8=13

so we can conclude that when q=1 s=13

Answer:

13

Step-by-step explanation:

s = 5q + 8

s = 5(1) + 8

s = 5 + 8

s = 13

Answer:

you have to round down because if you round up she wouldn't have enough money. And you can't buy half a book.

Step-by-step explanation:

Answer:

min f(x) = 3.95  (for x= 2.5)

Step-by-step explanation:

vertex (x) = 1/0,4 = 2,5

vertex (y) = 0.2(2.5)^2-2.5+5.2 = 3.95

Answer: 70

Step-by-step explanation:

do 21*3 which would be 90% but the actual number would be 63. but there is still 10% left and you are given and number for 30% so divide 21 by 3 which you get 7 so 63+7=70