helppp ASAP *75 POINTS*

The volume of the trapezoidal prism having side lengths x, (x+2), (x+4) and height of 2x is 2x³+6x² option first is correct.

It is defined as a three-dimensional space enclosed by an object or thing.

We know the volume of the trapezoidal prism can be given:

[tex]\rm V=\frac{1}{2} (a+b)\times h \times L[/tex]

Where V = The volume of the trapezoidal prism:

Length of the trapezoid L = x

Top width  a = (x+2)

Base width  b = (x+4)

Height of the trapezoidal prism  h = 2x

[tex]\rm V=\frac{1}{2} (x+2+x+4)\times 2x \times x[/tex]

[tex]\rm V=\frac{1}{2} (2x+6)2x^2\\\\\rm V= (2x+6)x^2\\\\\rm V= (2x^3+6x^2)[/tex]

Thus, the volume of the trapezoidal prism is  [tex]\rm (2x^3+6x^2)[/tex]

Learn more about the volume here:

https://brainly.com/question/16788902

Answer:

A.

Step-by-step explanation:

right on edge

Answer:

Draw your y and x axis , the y axis is going to be a vertical line while the x axis is going to be a horizontal line

Yes they are proportional

Answer:

A- yes

Step-by-step explanation:

If you never buy the popcorn because you think that it is too expensive then the only thing you are paying for is the tickets therefore the price you pay is proportional to the number of tickets you buy.

Answer:

c; 63 square cm

Step-by-step explanation:

the area of a trapezoid can be described by the equation a = (1/2)(h)(b1 + b2)

this means the height times base 1 and base 2 added together divided by 2

(1/2)(6)(8 + 13) is the equation

this can become 3(21)

which is ultimitaly 63

Answer:

it's gonna be 63cm^2

Step-by-step explanation:

First, were gonna find the area of the rectangular portion, which is 8x6, which is 48cm^2

Next, well do the triangle part. So, we have to subtract 13-8 to get the width of the triangle.

Next, we have to find the area for the triangle. The formula is length x width / 2.

So, we have to multiply 6x5 to get 30.

Then, well divide it by 2, which will give us 15cm^2

Finally, we add the areas of rectangle and the triangle together. 15 + 48 is 63.

Bada-bing, bada-boom, we got 63cm^2 as our answer :)

Answer:

i think four but im prolly wrong

Step-by-step explanation:

Step-by-step explanation:

100%+5%=105%

105/100*200=210

100%-6%=94%

94/100*210

Answer:

15

Step-by-step explanation:

To solve you have to get x by itself on one side.

x/3+7=12

First, you move the seven over.

x/3+7-7=12-7

Simplify.

x/3=5

Now to get x by itself you can multiply both sides by 3.

x/3*3=5*3

Simplify.

x=15

Answer:

x = 15

Step-by-step explanation:

x/3 + 3⋅7/3 = 12

x+3⋅7/3=12

x+21/3

X=15

Answer:

the answer is 12

Step-by-step explanation:

it is what it is

Step-by-step explanation:

30: 225 = 25: X

30/225= 25/X

30×X = 225×25

30X = 5625

X = 187.5

Answer:

Step-by-step explanation:

Answer:

The answer is 24 cm.

Step-by-step explanation:

Since we know two sides, we can find the third side. Using the pythagorean theorm, a^2 + b^2 = c^2, this gives us:

6^2 + 8^2 = c^2

36 + 64 = c^2

100 = c^2

Square root of 100 = c

10 = c.

Hope this helps!

Answer: 80%

Step-by-step explanation:

or 85% but i think its 80%

Answer:

Ken's misunderstanding is that you have to round starting from the 1st number that is behind what your rounding to. In this case Ken needs to start from 1 and round instead of starting from 3. So  you would round the 9,000 by looking at the 1 and seeing if you should round up or down. You want to round down because 1 is less than 5. If Ken rounds from 1 the real answer should be 9,000

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

heyy do you still need help

Step-by-step explanation:

Answer:

x=8 y=10

Step-by-step explanation:

x+y =18        x=(18-y)

3(18-y) +2y =44

54-3y+2y =44

54-y =44

-y=-10

y=10

                                     x+10=18

                                      x=8

Answer:

The answer is 20p – 10 or 10(2p – 1)

Step-by-step explanation:

4(2p + 2) + 6(2p − 3)

8p + 8 + 12p – 18

20p – 10 or 10(2p – 1)

Answer:

D

Step-by-step explanation:

We know the ratio of the cut string is 2 : 5 : 3. If we add 2, 5, and 3 together, we get 10. We can do 90 ÷ 10 = 9. Each number in the ratio should be multiplied by 9 to find the actual length after it is cut.

Left piece : 2 x 9 = 18 cm

Middle piece : 5 x 9 = 45 cm

Right piece : 3 x 9 = 27 cm

D is the correct answer.

I hope this helps and please mark me as brainliest!

Answer:

Math-Graphing Inequalities on a Number Line (the basics)

Step-by-step explanation:

Answer:

D) -22 < 25

Step-by-step explanation:

If the number is 47 units to the right, then the number will be larger than -22, because negative values get larger the closer they are to zero.

47 units right from -22 is the same as: -22 + 47, which equals 25.

So, we can conclude that -22 < 25 is the inequality.

hope this helps!

Answer:

Step-by-step explanation:

The simplified form of the expression is [tex]\frac{14+5\sqrt{3}}{11}[/tex]

Given the surd function expressed as:

[tex]\frac{\sqrt{3} +5}{\sqrt{3} - 5 }[/tex]

Multiply by the conjugate of the denominator to have:
[tex]= \frac{\sqrt{3} +5}{\sqrt{3} - 5 } \times \frac{\sqrt{3} +5}{\sqrt{3} + 5 } \\=\frac{\sqrt{9}+5\sqrt{3}+5\sqrt{3}+25 }{3-25}[/tex]

Simplify the resulting expression
[tex]\\=\frac{3+10\sqrt{3}+25 }{-22}\\=\frac{28+10\sqrt{3}}{-22} \\= \frac{14+5\sqrt{3}}{11}[/tex]

Hence the simplified form of the expression is [tex]\frac{14+5\sqrt{3}}{11}[/tex]

Learn more on rationalization here: https://brainly.com/question/14261303

Answer:

40

Step-by-step explanation:

10+10+10+10 = 40

A square has 4 sides which is why you add 10, 4 times.

Answer:

z = 600

Step-by-step explanation:

Method 1 - ratios

If 150 is 25% then z is 100%:

[tex]\begin{aligned} 150 : 25 & = z : 100\\\dfrac{150}{25} & = \dfrac{z}{100}\\150 \cdot 100 & = 25z\\15000 & = 25z\\z & = \dfrac{15000}{25}\\z & = 600 \end{aligned}[/tex]

Method 2

Calculate the amount for 1%, then multiply by 100% to find z:

25% = 150

⇒ 1% = 150 ÷ 25 = 6

⇒ z = 100% = 6 x 100 = 600

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

As we know :

Length of arc = Radius × Angle made by Arc at center [ in radians ]

[tex]\qquad \tt \dashrightarrow \: arc = radius \times angle \: \: ( in \: \: rad)[/tex]

[tex]\qquad \tt \dashrightarrow \: arc = 9 \times { \pi}{} [/tex]

[tex]\qquad \tt \dashrightarrow \: arc = 9\pi \dfrac{ }{} \: \: units[/tex]

or

[tex]\qquad \tt \dashrightarrow \: arc = 9 \times 3.14 = 28.26 \: \: units\dfrac{ }{} \: \: [/tex]

Arc length

Answer:

b. [tex]6\sqrt{3}[/tex]

Step-by-step explanation:

[tex]\frac{6}{x} =\frac{x}{18}[/tex]

[tex]x^{2} =[/tex][tex](6)(18)=108[/tex]

[tex]x=\sqrt{108} =\sqrt{(36)(3)} =6\sqrt{3}[/tex]

Hope this helps

The length of x, the altitude of triangle ABC  is [tex]6\sqrt3[/tex]

From the given figure, we have the following equivalent ratio:

6 : x =x: 18

Express as fraction

6/x = x/18

Cross multiply

[tex]x^2 = 6 * 18[/tex]

Evaluate the product

[tex]x^2 = 108[/tex]

Take the square root of both sides

[tex]x = 6\sqrt3[/tex]

Hence, the length of x, the altitude of ABC  is [tex]6\sqrt3[/tex]

Read more about right triangles at:

https://brainly.com/question/2437195

#SPJ2

10 green cubes and 6 yellow cubes

hope it helps...!!!

Answer:

Mean: 54
Median: 61.5
Mode: 0
Range: 54

Step-by-step explanation:

Mean: Add everything up and divide by the amount of numbers
(47 + 31 + 84 + 50 + 68 + 85 + 67 + 56 = 488/8 = 54)

Median: Put all numbers in order from smallest to largest, the middle number is the median. Since we have 2 middle numbers, we add both 67 and 67 together, then divide them by 2.
31, 47, 50, 56, 67, 68, 84, 85
(56 + 67 = 123/2 = 61.5

Mode: The mode is the number that appears most often in the set of given numbers.
(There are no numbers that appear more than once so the mode is 0)

Range: The range is the largest number subtracted by the smallest number.
(85 - 31 = 54)

Answer:

Either 74° and 32°

or 53° and 53°

Step-by-step explanation:

An isosceles triangle has at least two congruent angles.

There are two possibilities in this problem.

1)

The 74° angle is one of the two congruent angles.

Then, one other angle measures also 74°.

The third angle measures 180° - 74° - 74° = 32°

2)

The 74° is not one of the two congruent angles.

Then the other two angles are congruent.

180° - 74° = 106°

The sum of the measures of the two congruent angles is 106°, so each of the two congruent angles measures 53°.

Answer:

Either 74° and 32°

or 53° and 53°