Find the volume and surface area of the trapezoidal prism.

The expression 163.28 + 75.459 is a sum expression, and the result of 163.28 + 75.459 is 238.739

The expression is given as:

163.28 + 75.459

The expression is best solved using a calculator.

However, in the absence of a calculator, the following steps can be applied.

Expand each term

163.28 + 75.459 = 163 + 0.28 + 75 + 0.459

Reorder the terms

163.28 + 75.459 = 163 + 75+ 0.28  + 0.459

Add the decimals and integers

163.28 + 75.459 = 238.739

Hence, the result of 163.28 + 75.459 is 238.739

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Answer:

x = 5.5

Step-by-step explanation:

Using a trig ratio, you can use sin, which is opposite over hypotenuse. [tex]sin(30)\textdegree=\frac{x}{11}[/tex]

Now, multiply both sides by 11

[tex]11\cdot sin(30)\textdegree=x[/tex]

this simplifies to x = [tex]\frac{11}{2}[/tex] or 5.5.

Since sin30 is [tex]\frac{\pi}{6}[/tex] radians, it can be written as [tex]\frac{11\pi}{6}[/tex].

Answer:

Parralelogram

Step-by-step:

Both of the shapes sides are parrallel to the shapes opposite sides, if you need you can look at images of a parralelogram

please give brainliest (:

Answer: D. Parallelogram

Step-by-step explanation:

Both pairs of opposite sides are parallel.

Both pairs of opposite sides are congruent.

Both pairs of opposite angles are congruent.

Diagonals bisect each other.

One angle is supplementary to both consecutive angles (same-side interior)

Answer:

1 and 125, 5 and 25

Step-by-step explanation:

Any two numbers that multiply to 125 could be considered as the length and width. Because the formula is: A=wl.

Answer:Point form is (-2,3)

Equation form is x=-2y=3

Step-by-step explanation:

The radius of a cylindrical gift box is ​(3x+2​) inches. The height of the gift box is twice the radius. The surface area of the​ cylinder is 54πx² + 84πx + 32π square inches.

The surface area of a cylinder is given as:

2πr(r + h)

The radius of a cylindrical gift box is ​(3x+2​) inches. The height of the gift box is twice the radius.

We need to find the surface area of the​ cylinder.

The radius of a cylindrical gift box is ​(3x+2​) inches.

The height of the gift box is twice the radius = 2(3x + 2) inches

= 6x + 4 inches

The surface area of the cylinder is:

= 2 × π × (3x + 2)( 3x + 2 + 6x + 4) square inches

= 2 × π × (3x + 2)(9x + 8) square inches

= 6πx + 4π( 9x + 8) square inches

= 6πx (9x + 8) + 4π( 9x + 8) square inches

= 54πx² + 48πx + 36πx + 32π square inches

= 54πx² + 84πx + 32π square inches

Hence, The surface area of the​ cylinder is 54πx² + 84πx + 32π square inches.

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Answer: paralell

Step-by-step explanation: addion

Answer:

a) neither because both of the lines dont have the same slope. there isnt a line is equal to x= (some value)

1-3/1--1= -1

2--3/2-1= 5

b) parallel

8-2/-4--6= 3

2--4/2-0= 3

Answer:

Step-by-step explanation:

Congruent by SSS  ( three sides are equal in length).

Answer:

Buying a home allows you to build wealth over time.

Step-by-step explanation:

no other asset can build your wealth more consistently. When you rent, you are building your landlord's wealth, and not your own. Combined with leverage, real estate appreciation can offer big returns

Answer:

The answer is D.  quadrilaterals

Step-by-step explanation:

Answer- The perimeter should be 30 units

Answer:

30 units

Step-by-step explanation:

a = bh

h = a/b

h = 50/10

h = 5

5(2) + 10(2)

10 + 20

30

Answer:

38.6598 ° or 38.66 °

Step-by-step explanation:

Sides:

a = 4 cm

b = 6.40312 cm

c = 5 cm

Angles:

A = 38.6598 °

B = 90 °

C = 51.3402 °

Other:

P = 15.4031 cm

s = 7.70156 cm

K = 10 cm2

r = 1.29844 cm

R = 3.20156 cm

Agenda:

A = angle A

B = angle B

C = angle C

a = side a

b = side b

c = side c

P = perimeter

s = semi-perimeter

K = area

r = radius of inscribed circle

R = radius of circumscribed circle

Answer:

81920.

Step-by-step explanation:

1) the ration of the given sequence is -2=-10/5=20/(-10)...

2) the 15th term can be calculated according to the formula:

a₁₅=a₁*(ratio)¹⁴, then

a₁₅=5*(-2)¹⁴=-5*1024*16=81920.

Answer:

9 over 11 plus 8 over 12 = 2.7

The percentage of the runner from team B that finishes the race is 21.4%

How to find the percentage that finish the race from team B?

Team A and Team ran a race. Team A had 28 runners and Team B also had 28 runners.

4 runners from team A finishes the race while 12 runners from team B finishes the race.

Therefore, the percentage from team B that finishes the race can be calculated as follows.

percentage from team B that finishes = 12 / 56 × 100

percentage from team B that finishes = 1200 / 56

percentage from team B that finishes = 21.4285714286

percentage from team B that finishes = 21.4%

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Answer:

-0.5.

Step-by-step explanation:

2pi - 11pi/6 = pi/6

so the angle is in the fourth quadrant  where the sine is negative.

pi/6 = 30 degrees and we know form the 30-60-90 triangle that sin 30 = 0.5,

therefore sin pi/6 = 0.5

and sin 11pi/6 = -0.5

The exact value of sin(11π/6) radians is -1/2 by using unit circle

To find the exact value of sin(11π/6) radians, we can use the unit circle and trigonometric identities.

The angle 11π/6 radians is in the third quadrant of the unit circle.

In the third quadrant, the sine function is negative.

We can find the reference angle by subtracting 2π (or 12π/6) from the given angle:

11π/6 - 12π/6 = -π/6

The reference angle is -π/6 radians.

In the unit circle, the coordinates for the angle -π/6 are (√3/2, -1/2). The y-coordinate represents the value of sine.

Therefore, the exact value of sin(11π/6) radians is -1/2.

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Answer:

[tex]\frac{15}{4802}[/tex], [tex]\frac{15}{9604}[/tex], [tex]\frac{9}{2401}[/tex], [tex]\frac{9}{4802}[/tex]

Step-by-step explanation:

The bag has a total of (4+2+3+5) = 14 balls. Set up the proportions:

Red: [tex]\frac{4}{14}[/tex]

green: [tex]\frac{2}{14}[/tex]

yellow: [tex]\frac{3}{14}[/tex]

blue: [tex]\frac{5}{14}[/tex]

Now solve!

Removing 1 yellow, 1 red, 1 green, and 1 blue = [tex]\frac{3}{14} \cdot \frac{4}{14} \cdot \frac{2}{14} \cdot \frac{5}{14} =\frac{15}{4802}[/tex]

Removing 1 blue, 1 green, 1 green, and 1 yellow = [tex]\frac{5}{14} \cdot \frac{2}{14} \cdot \frac{2}{14} \cdot \frac{3}{14} =\frac{15}{9604}[/tex]

Removing 1 red, 1 red, 1 yellow, and 1 yellow = [tex]\frac{4}{14} \cdot \frac{4}{14} \cdot \frac{3}{14} \cdot \frac{3}{14} =\frac{9}{2401}[/tex]

Removing 1 green, 1 yellow, 1 yellow, and 1 red = [tex]\frac{2}{14} \cdot \frac{3}{14} \cdot \frac{3}{14} \cdot \frac{4}{14} =\frac{9}{4802}[/tex]

Answer:

D. The person who tells the story

Step-by-step explanation:

The narrator is the person telling the story, or the voice that an author takes on to tell a story.

The person who reads the story is simply a reader. They aren't narrating.
Someone who says all of the dialouge isn't a narrator either, because only saying the dialouge excludes the rest of the story. It's not telling the story.
The person who writes the story is the author, not the narrator.

Therefore, option D makes the most sense.

hope this helps!

Answer:

4,0), (-2,5), (8,-1), (5, 2)}

word form: one million, three thousand, four hundred ninety eight

number form : 1,003,498

expaned form 1000000 + 30000 + 400 + 90 + 8

i would so base form but i cant

Answer:

C. 5 units

Step-by-step explanation:

Answer:

f(-3) = -26

Step-by-step explanation:

To find the answer plug -3 in for every x in the equation. Like this:

[tex]-2(-3)^{2} +5(-3)+7[/tex]

Now, simplify:

-2(9) - 15 + 7                 Square -3.

-18 - 15 + 7                    Multiply -2 by 9.

-26                                Simplify.

So, f(-3) = -26.

Hope this helps! If you have any questions feel free to leave them in the comments!

Answer:

Step-by-step explanation:

f(-3)= -2(-3)^2 + 5(-3) + 7

         -2(9) - 15 + 7

         -18 - 15 + 7

          -33 + 7 = -26

Step-by-step explanation:

1.) Move the 5 to the other side of the equation

8y = -5x + 31

2.)

Divide by 8

y= .625x + 3.8

Answer:

5x + 8y = 31

8y = -5x + 31

y = -0,625x + 3,875

    y = mx + b

    m = slope

    b = intercept

y = -0,625x + 3,875

slope = -0,625

intercept = 3,875

Answer:

5

Step-by-step explanation:

Imagine a triangle with two of the corner points being the points (5,5) and (8,1)

The length and width would be 3 and 4 to find the hypotenuse (distance) do

3^2+4^2=x^2

9+16=x^2

25=x^2

x=5

[tex]here \: is \: your \: answer...[/tex]

Step-by-step explanation:

Let (x1,y1) = (5,5) and (x2,y2) = (8,1)

By using distance formula,

[tex]d \: = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]

[tex]d = \sqrt{ {(8 - 5)}^{2} + {(1 - 5)}^{2} } [/tex]

[tex]d = \sqrt{ {(3)}^{2} + {( - 4)}^{2} } [/tex]

[tex]d = \sqrt{9 + 16} [/tex]

[tex]d = \sqrt{25} [/tex]

[tex]d = 5 \: units[/tex]

Therefore, the distance between (5,5) and (8,1) is 5 units

The price of one pen is $1.50.

6p + 3h = 21 equation 1

2p + 4h = 19 equation 2

Where:

In order to determine the price of one pen, take the following steps:

Multiply equation 1 by 4 and equation 2 by 3

24p + 12h = 84 equation 3

6p + 12h = 57 equation 4

Subtract equation 4 from 3

27 = 18p

p = $1.50

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Answer:

52

Step-by-step explanation:

180-128

Answer:

the answer is 28 degrees

Step-by-step explanation:

all you do is subtract 180-128 since this is a supplementary angle and not a complimentary one.

Answer:

[tex]10x^{3}+x^{2} -1[/tex]

Step-by-step explanation:

Standard form means firstly you will combine like terms (which the problem has already done) and then rewrite the polynomial from greatest power to least power.

We have three separate parts to this polynomial:

The part that has the greatest power is [tex]10x^{3}[/tex]. This is because the x is multiplied by a power of 3, which is the largest power given. Next up would be [tex]x^{2}[/tex]. Finally, -1 would come last.

Thus, the rewritten equation should look like this:

[tex]10x^{3}+x^{2} -1[/tex]

I hope this helps! If you have any questions about my work feel free to ask down in the comments!