Find the volume of the prism

Find The Volume Of The Prism

Answers

Answer 1

Answer:

440cm³

Step-by-step explanation:

Area of trapezium base=

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

[tex] \frac{1}{2} \times (8 + 14) \times 4[/tex]

[tex] \frac{1}{2} \times 22 \times 4 \\ = \frac{88}{2} \\ = 44 {cm}^{3} [/tex]

Volume=Area or trapezium x Height between trapezium ends

[tex] = 44 \times 10 \\ = 440 {cm}^{3} [/tex]


Related Questions


139°
x° find the value of x.


Answers

Answer:

x = 139

Step-by-step explanation:

The angles are alternate exterior angles , and when the lines are parallel, alternate exterior angles are equal

x = 139

what is the answer when you round 4186.666666666667 to nearst hundredth.
answer fast please in hurry needed. dont give explanation exact answer beeded.

Answers

4186.67 because you have to look at the hundredths place and thousands place. If the thousand place is 5 or more then the hundredth place goes up one. If it is 4 and less than it stays the same.

a bicycle travels at a velocity of -2.33m/s and has a displacement of -58.3m how much time did it take??

Answers

Answer:

25.02 s

Step-by-step explanation:

velocity = distance/time

rearrange for time:

time = distance/velocity

time = -58.3m/-2.33 m/s

time = 25.02s

Look at the number line below. Write the letter for each fraction in the correct box. ​

Answers

Answer:

DCAB

I arranged in increasing order

Answer:

DCAB

Step-by-step explanation:

[tex]A = \frac{2}{5} = 0.40\\\\B= \frac{2}{3} = 0.66\\\\C= \frac{1}{4} = 0.25\\\\D =\frac{1}{10} = 0.10[/tex]

So moving from least to highest DCAB

please help me answer this!!

Answers

Answer:

(x, y) = (10, 290)

Step-by-step explanation:

From the table

Total fees = fixed + variable

Fixed:

When number of times Ahmed mowed, x = 0

y = 40

When x = 2, y = 65

Rate of change = y2 - y1

= 65 - 40

= 25

y = 40 + 25x

Where,

y = total fees charged

40 = fixed fee

25x = variable fee

Total amount Ahmed will make for mowing 10 times

when x = 10

y = 40 + 25x

y = 40 + 25(10)

= 40 + 250

= 290

y = 290

(x, y) = (10, 290)

What is the exact value of tan(pi/4)?

Answers

1

The exact value of tan(π4) tan ( π 4 ) is 1 .

Which expression is equivalent to (y2 + 3y – 8)+(2y? –y–9)?

A. 3y4 + 4y2 – 17
B. 3y4 +2y2 – 17
C. 3y2 + 4y - 17
D. 3y² +2y-17

Answers

Answer:

The answer is 42 have a great day.

Step-by-step explanation:

45
24
K K
AM
51

15
17
15

8
15
O
8
17

Answers

Hope this help!!!

Have a nice day!!!!

Use substitution to solve the
following system of equations.
2x + 4y = 12 AND x=y - 3

Answers

Answer:

The solution is (0, 3)

Step-by-step explanation:

First, reduce 2x + 4y = 12 to x + 2y = 6, for easier calculations.

Next, substitute y - 3 for x in the other equation:

y - 3 + 2y = 6, or

3y = 9

Then y = 3.  Since x = y - 3 in general, x = 3 - 3 = 0 when y = 3.

The solution is (0, 3)

pleaseeee helpppp meee!!

Answers

Answer:

15 players on each team

Step-by-step explanation:

- 2 players from EACH team is subtracted= 2(players)x6(teams) = 12 players in total off the field

- now there are only 78 players on the field

(78+12)/6= 15

-Adding the amount of players on the feild and the players that were sent for equitment is 90. Then dividing 90 by the amount of teams there are, 6

A motorboat takes five hours to travel two hundred miles going upstream. The return trip takes four hours going down stream. What is the rate of the boat in Stillwater and what is the rate of the current?

Answers

Answer: [tex]45\ mph[/tex],  [tex]5\ mph[/tex]

Step-by-step explanation:

Given

A motorboat takes 5 hours to travel 200 miles upstream and 4 hours to go downstream

Suppose the speed of motorboat in still water and rate of current be x and y respectively.

during upstream

[tex]\Rightarrow 5=\dfrac{200}{x-y}\\\\\Rightarrow x-y=40\quad \ldots(i)[/tex]

During downstream

[tex]\Rightarrow 4=\dfrac{200}{x+y}\\\\\Rightarrow x+y=50\quad \ldots(ii)[/tex]

Add (i) and (ii) we get

[tex]\Rightarrow 2x=90\\\Rightarrow x=45\ mph[/tex]

[tex]\therefore y=5\ mph[/tex]

Thus, the speed of boat in still water is [tex]45\ mph[/tex] and rate of current is [tex]5\ mph[/tex]

ILL BRAINLIEST YOU IF YOU HELP ME PLEASE

Answers

option C is correct

b and c are parallel lines because they both are making equal angles at the point of intersection with line d

Answer:

the answer is c. because

95 plus 85 is equal to 180 mean its straight line

Step-by-step explanation:

What is the value of X in the figure below? In this diagram ∆ABD is similar to ∆CAD.

Answers

Answer:

F. 45/4

Step-by-step explanation:

Corresponding sides have same ratio:

AB/AC = BD/AD

Find AB:

AB = [tex]\sqrt{20^2-15^2} = 5\sqrt{7}[/tex]

Find AD:

AD = √15²-x²

Now the ratio:

5√7/15 = (20 - x)/√(15²-x²)√7 *√(225-x²)= 3(20 - x)7(225 - x²) = 9(20 -x)²7*225 - 7x² = 9(400 - 40x + x²)1575 - 7x² = 3600 - 360x + 9x²16x² - 360x + 2025 = 0(4x)² - 2*4x*45 + 45² = 0(4x - 45)² = 04x - 45 = 04x = 45x = 45/4

Correct choice is F

Explain how to solve this problem in your own words.​

Answers

Answer:

3 m^8

Step-by-step explanation:

We know that a^b / a^c = a^( b-c)  so using the quotient rule for exponents

3 * m^( 7 - -1)

3 *m^(8)

3) -7x - 3x + 2 = -8x - 8

Answers

-7x-3x= -10x

-10x+2=-8x-8

-10x+8x+2=-8

-2x+2= -8

-2x = -8 + 2

-2x= -6

X= -6/-2

X= 3

what is lighter than a feather but the strongest man can't hold for 5 minutes​

Answers

Answer:

obviously our breathe is lighter than a feather but the strongest man can't hold for 5 minutes.

Answer:

breathe

Step-by-step explanation:

breathe. air is light but even the strongest man can't hold for 5 minutes

The Taylor family order a 95-inch turkey and cheese sub from the local deli. They also buy 7 gallons of lemonade. About how many feet long is the turkey and the cheese sub?

Answers

Given: Here given that the Taylor family order 95 inches of turkey and cheese sub from the local deli.

To find: Here we need to find how many foot long is the turkey and cheese sub.

Solution: We know, 1 inches=0.0833 foot

So, 95 inches=7.9135 foot approximately.

Therefore, 7.9135 foot approximately long is the turkey and cheese sub.

Select the correct answer.
How would you write this expression as a sum or difference?

[tex]log_{3} (^{5\sqrt{x}} X y )[/tex]

Answers

Answer:

[tex]\log_{3} ({5\sqrt{x}} * y ) = \log_{3}({5) + \log_{3}(\sqrt{x}) +\log_{3}( y )[/tex]

Step-by-step explanation:

Given

[tex]\log_{3} ({5\sqrt{x}} * y )[/tex]

Required

Write as sum or difference

Using addition law of logarithm, the equation becomes:

[tex]\log_{3} ({5\sqrt{x}} * y ) = \log_{3}({5\sqrt{x}) +\log_{3}( y )[/tex]

Expand

[tex]\log_{3} ({5\sqrt{x}} * y ) = \log_{3}({5 * \sqrt{x}) +\log_{3}( y )[/tex]

Apply addition law

[tex]\log_{3} ({5\sqrt{x}} * y ) = \log_{3}({5) + \log_{3}(\sqrt{x}) +\log_{3}( y )[/tex]

True or False: in a table of a proportional relationship, the ratio or y/x is constant.

Answers

Answer:

true

Step-by-step explanation:

It is True that in a table of a proportional relationship, the ratio or y/x is constant.

What is a proportional relationship?

It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.

It is given that, y∝x

In order to eradicate the proportional sign introduces the constant as,

y=kx

k=y/x

k is the constant value.

Thus, it is True that in a table of a proportional relationship, the ratio or y/x is constant.

Learn more about the proportional here:

brainly.com/question/14263719

#SPJ2

Find the area of the given trapezoid:
A = ...... square units

Answers

Answer:

A = 48 square units

Step-by-step explanation:

The dimensions between two markings on the coordinate plane = 2 unit

The trapezoid is located sideways

The area of a trapezoid, A = ((a + b)/2) × h

Where;

a = The long base side

b = The short base side

h = The height

The long base side length AT = 4 space between markings = 4 × 2 units = 8 units

The short base side length SR = 2 space between markings = 2 × 2 units = 4 units

The height, h = 4 space between markings = 4 × 2 units = 8 units

The area of the trapezoid, A = ((4 unit + 8 unit)/2) × 8 unit = 48 square units.

Find mZB.
Round to the nearest degree.
11
B В
7.
15

Answers

Answer:

m∠B = 111º

Step-by-step explanation:

use law of cosines

c² = a² + b² - 2ab*cosC

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

15² = 7² + 11² - 2(7)(11)cosB

225 = 49 + 121 - 154cosB

225 = 170 - 154cosB

Subtract 170 form both sides

55 = -154cosB

Divide both sides by -154

-0.3571428571 = cosB

m∠B = arccos -0.3571428571

use calculator

m∠B = 110.924832425009406

Rounded

m∠B = 111º

How many minutes will it take to bake 24 tortillas

Answers

Answer:

72 mins

Step-by-step explanation:

12 mins = 4 tortillas

1 tortilla = 3 mins

3x24=72

72 mins

Answer:

72 minutes

1 hour and 12 minutes

Step-by-step explanation:

[tex]\frac{4}{12}: \frac{24}{y}[/tex]

4 × y = 12 × 24

4y = 288

4y ÷ 4 = 288 ÷ 4

y = 72

The radius of a circle is 6 meters. What
is the circle's area?

Answers

Answer:

A = 36 pi m^2 or approximately 113.04 m^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

The radius is 6

A = pi 6^2

A = 36 pi m^2

Using the approximation of 3.14 for pi

A =113.04 m^2

Answer:

A≈113.1

Step-by-step explanation:

A=πr^2=π·6^2≈113.09734

find the measure of angle c

Answers

Answer:

add 7+5 and 3+9 and then subtract both answers together and the answer you get should be the answer if the degree

Add 7+3 and then add 5+9 and subtract both

Please give me the answer and show me how you solved it

Answers

on number 5 question the answer is 4,5,9

Step-by-step explanation:

it is because a right triangle is composed of 3 different sides (hypothenus, opposite angle and adjacent angle)

Answer:

5) B. 10, 24, 26

6) k = 8.5

Step-by-step explanation:

5) The a and b in context of the triangle have to be greater than the hypotenuse. It can’t equal the hypotenuse. 10 + 24 = 34, 34 > 26 Therefore our answer.

6) Our equation: c = sqrt of a^2 + b^2

C = sqrt of 3^2 + 8^2

*A= 3 B = 8*

C = sqrt of 9 + 64

C = square root of 73

C = 8.54 or 8.5

Giving our answer:

You could always check by listing the values of each side:

A=3 B=8 C=8.5

3, 8, 8.5

And up A and B: 3 + 8 = 11

11 > 8.5

Proving this is a right triangle!

Btw sqrt means square root! ;)

Hope this helps, good luck! :)

helpppppppppppp!!!!!!!!!!!!!!

Answers

Answer:

480N

Step-by-step explanation:

answer is in photo above

can someone pls help for brainlest

Answers

Answer:

12.56 in ^2

Step-by-step explanation:

First find the area of a circle with radius 4

A = pi r^2

A = (3.14) 4^2

A =50.24

Since it is 1/4 of a circle, multiply by 1/4

1/4 ( 50.24)

12.56

Answer:

Quarter circle's area is 12.56 inches².

Step-by-step explanation:

Concept:- Firstly, we need to find the area of circle and Since, it is quarter of circle we need to multiply the area of circle by 1/4. and we get answer

✯ Solution ✯

Finding area of circle

Using Formula

Area of circle = π × r ²

Where,

r ,is the radius of circle

And we have given

Radius, r of circle is 4 in.Value of π is 3.14

Substitute the value into the formula

Area of circle = 3.14 × ( 4 in. )/²

now,

Area of circle = 3.14 × 16 in ².

multiply , we get

Area of circle is 50.24 nches ²

As have to find the quarter circle's area ,

and we know that quarter is the one fourth of the circle .

Quarter circle's area = Area of circle × 1/4

Multiply , we get

Quarter circle's area = 50.24 × 1/4

Therefore, quarter circle's area is 12.56 inches².

HELP ASAP!
The graphs below have the same shape. f(x) = x2.
What is the equation of the graph of g(x)?

Answers

Answer:

A

Step-by-step explanation:

Given the graph of f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

Here g(x) is the graph of f(x) shifted 3 units to the left, then

g(x) = (x + 3)² → A

Answer:

A

Step-by-step explanation:

What is cosθ = _____ based on this image
a)-3/5
b)-4/3
c)-4/5
d)-3/4

Answers

A yes b no c no d yes

WORTH 25 POINTS!!!!
match the following

Answers

Answer:

Step-by-step explanation:

Domain of a function is defined by the set of x-values (input values) and Range is the set of y-values (output values) of the function.

1). The range and domain of P = {(x, y)| y = 3}

Domain: Set of all real numbers

Range: {y: y=3}

2). The domain set of C = {(2, 5), (2, 6), (2, 7)}

 Domain: {2}

3). The range set of E = {(3, 3), (4, 4), (5, 5), (6, 6)}

  Range: {3, 4, 5, 6}

4). The range and domain set of F = {(x, y)| x + y = 10}

   Domain = Range = {All real numbers}

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