What is the volume of the following rectangular prism? 8 units 5 1/4 units2 ​

Answers

Answer 1

Answer:

84 units²

Step-by-step explanation:

v = 8 * 5 1/4 * 2

v = 84 units²

Answer 2

The volume of the rectangular prism is 42 cubic units.

What is volume?

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

To find the volume of a rectangular prism, you need to multiply the height of the prism by the base area.

The height of the prism is given as 8 units.

The base area is given as 5 1/4 units².

To convert the mixed fraction to an improper fraction, we multiply the whole number (5) by the denominator (4), then add the numerator (1).

5 1/4 = (5 x 4 + 1) / 4 = 21/4

Now, we can calculate the volume of the rectangular prism:

Volume = height x base area

Volume = 8 x 21/4

Volume = 168/4

Volume = 42

Therefore, the volume of the rectangular prism is 42 cubic units.

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Related Questions

The Sine Function

The tide is the regular rising or falling of the ocean's surface. This is due in large part to the gravitational forces of the moon. The following table represents water level of the tide off the coast of Kings Point, N.Y. for a 24 hour period.
February 9th through February 10th of 2009.

Use your graphing calculator to produce a sine regression model for the data in the table. Round a, b, c, and d to the nearest 0.0001. Then use your model to predict the height of the tide 30 hours after the original observation.

a. The height of the tide 30 hours after the original observation is -3.27 feet.
b. The height of the tide 30 hours after the original observation is 16 feet.
c. The height of the tide 30 hours after the original observation is 8 feet.
d. The height of the tide 30 hours after the original observation is -0.63 feet.

Please select the best answer from the choices provided

Answers

Answer:

C. The height of the tide 30 hours after the original observation is 8 feet.

Step-by-step explanation:

I calculated it logically

Find the value of the missing angle please help!

Answers

Answer:

4th Option, 45.1

Step-by-step explanation:

Cos(Ф) = [tex]\frac{12}{17}[/tex]

Ф = Cos⁻¹ ([tex]\frac{12}{17}[/tex])

Ф = 45.1

Hope this helps!

Plz help me well mark brainliest!!...

Answers

Answer:

B

Step-by-step explanation:

9+9+6+6=18+12=30

hope it helps :)

answer: B

explanation: to get the perimeter you need to add all the sides.
9+9+6+6=30

The lowest part of the Caspian Sea has an elevation of 28 meters below sea level. Enter the integer that represents the elevation of the lowest part of the Caspian Sea, in meters

Answers

Answer:

-28 meters

Step-by-step explanation:

Sea level is represented as 0 meters typically, so for something that is 28 meters below sea level, you would represent that as -28 meters.

Help meeee please or I'm going to fail school
Christopher tosses a coin three times. Each toss could be heads or tails. Which outcome would be included in the compound event "at least two heads"? First toss He Second Third Sample space toss toss outcomes
H HHH HHT HTH HTT THH THT TTH H H T

A. THH

B. HTT

C. TTH

D. THT

Answers

Answer: The is THH, or A.

Step-by-step explanation: The question directly ask for “at least two heads”, which no other answer contains two heads. Therefore, the answer is A.

Find the distance between the origin and the point (10,45,57)

Answers

Answer:

Step-by-step explanation:

3D space  (x, y, z)  = (10, 45, 57)

I will use  x² + y² = (2D Hyp)²  and (2D Hyp)² + z² = (3D Hyp)²

which is just x² + y²  + z² = (3D Hyp)²

10² + 45²  + 57² = (3D Hyp)²

100 + 2025 + 3249    =  5374   =   (3D Hyp)²    the destance from the origin

                                                   =  73.31    the destance from the origin

Lauren is making string bracelets with black and silver beads added in for decoration.

Black beads come in packages of 24, and silver beads come in packages of 36.
Each bracelet will have the same number of each color bead.
Lauren has one package of each bead color, and she will use all of the beads.
What is the greatest number of bracelets Lauren can make?

Answers

The greatest number of bracelets Lauren can make using the black beads and the silver beads is 12.

What is the greatest number of bracelets that can be made?

In order to determine the greatest number of bracelets that can be made, the highest common factor of both numbers have to be determined.

Highest common factor is the highest factor that is common to two or more numbers

Factors of 24 = 1, 2, 3, 4, 6, 8, 12, 24Factors of 36 = 1, 2, 3, 4, 6, 12, 18, 36 Highest common factor = 12

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Please help me! No links

How many math problems were answered correctly by Suzy and Joe?

Answers

Since suzy answered 9 and Joe answered 12, you add 9+12 to get 21. The answer is 21 math problems.

what is the probability of rolling a number greater than 2 with a standard number cube

Answers

Answer:

4/6 or 2/3

Step-by-step explanation:

6 sides with 4 of the numbers being greater than 2; 4/6. The simplified version is 2/3.

In the first region are located 6 Rattatta Pokemon hidden in the grass at any given time and 8 Pidgey Pokemon. What would be the probability of running a Rattatta Pokemon?​

Answers

6+8= 14
6/14 is the probability

In circle F with mZEFG = 30 and EF =
30 and EF = 11 units, find the length of arc EG.
Round to the nearest hundredth.
F
G
E

Answers

Answer:

5.76 units

Step-by-step explanation:

Length of arc EG = central angle/360 × 2πr

Where,

central angle = 30°

radius (r) = 11 units

Plug in the values into the formula

Length of arc EG = 30/360 × 2 × π × 11

Length or arc EG ≈ 5.76 units (to nearest hundredth)

How would you characterize the relationship between the hours spent on homework and the test scores

Answers

Answer:

sorry can'thelp

Step-by-step explanation:

Answer and explanation:

I would characterize the relationship as a positive correlation. I would probably give it a 0.7, which means that the correlation is relatively strong. Also, this is an example of correlation, not causation, because there is not scientific proof that doing homework more will cause better grades. Hope this helps!

Which of the following is not true? Select one: The data is symmetrical. The median is 1.25. The data is skewed right The spread of the data distribution is from 0 to 2.5

Answers

do you have a picture of the data table?

The numbers x, y, z and w have an average equal to 25. The average of
x, y and z is equal to 27. Find w.
A. 23
B. 19
C. 25 D. 29​

Answers

Answer:

look at the picture i sent

Find the inverse for each relation:
1. {(1,-2), (2, 3),(3, -3),(4, 2)}

Answers

Answer:

the inverse for each relation:

1. {(1,-2), (2, 3),(3, -3),(4, 2)} is

{(-2,1),(3,2),(-3,3),(2,4)}.

Which of the following is the correct point-slope equation for the line that
passes through the point (-3,-9) and is parallel to the line given by
y = 2.5x - 20?
O A. Y-3 = 2.5(x - 9)
O B. y + 3 = 2.5(x + 9)
O C. y + 9 = 2.5(x+3)
O D. Y- 9 = 2.5(x-3)

Answers

Answer:

these are negative numbers

Step-by-step explanation:

I WILL MARK BRAINLIEST
DO NOT GUESS OR ATTACH FILE OR I WILL REPORT
Mara spins this spinner and rolls one six-sided die. What is the probability of spinning a 3 and rolling a 3 on the die?
(Photo above) Pls help​

Answers

Answer:

D. The probability is 7%.

Maria had $22.45 to spend on groceries. After buying 3 bags of chips, she had $10.60 left. If each bag of chips costs the same amount, what is the price of one bag of chips

Answers

Answer:

$3.95

Step-by-step explanation:

Take the amount she has to spend and subtract the amount left ($10.60) and that will leave you with $11.85.  So this is  how much was spent on the 3 bags of chips. To find how much each bag cost, divide $11.85/3 bags = $3.95 per bag.

In a school machine shop, 60% of all machine breakdowns occur on lathes and 15% occur on drill presses. Let E denote the event that the next machine breakdown is on a lathe, and let F denote the event that a drill press is the next machine to break down. With and P(E) = 60 and P(F) =.15, calculate:
A. P(EC).
B. P(EUE).
C. P(EC ∩ FC).

Answers

Answer:

A. P(EC) = 0.4  

B. P(E∪E) = 0.75

C. P(EC ∩ FC) = 0.25

Step-by-step explanation:

Let us calculate -:

we are given with - P(E) = 60 and P(F) =.15,

Thus , (a) [tex]P(E^C)=1-P(E)[/tex]

                   [tex]=1-0.6[/tex]

                   [tex]=0.4[/tex]

(b) P(E∪F) = P(E) + P(F)

   = 0.60 + 0.15

   = 0.75

(c) [tex]P(E^C[/tex]∩[tex]F^C)[/tex] [tex]=1-P(E[/tex]∪ [tex]F)[/tex]

   [tex]=1-0.75[/tex]

   = [tex]0.25[/tex]

Hence , the answers are -A. P(EC) = 0.4  , B. P(E∪E) = 0.75  , C. P(EC ∩ FC) = 0.25.

ΔABC and ΔXYZ are similar triangles. The lengths of two sides of each triangle are shown. Find the lengths of the third side of each triangle.

Answers

Answer:

a=7.6

y=2.3

Step-by-step explanation:

2.5/5=3.8/a

1/2=3.8/a

a=7.6

2.5/5=y/4.6

1/2=y/4.6

2y=4.6

y=2.3

At the city Museum child admission is $6.40 in adult admission is $9.70 on Sunday 149 tickets were sold for a total sales of $1145 how many adult tickets were sold that day

Answers

Answer:

Adult=58

Step-by-step explanation:

c=child, a=adult

6.4c+9.7a=1145 equation 1

c+a=149 equation 2

a=149-c modified equation 2 to isolate a

6.4c+9.7(149-c)=1145 substitute value of a from equation 1 into equation 2

6.4c+1445.3-9.7c=1145

-3.3c=-300.3

c=91

solve for a

c+a=149

91+a=149

a=58

Check answer:

6.4c+9.7a=1145

6.4(91)+9.7(58)=1145

582.40+562.60=1145

1145=1145

The graph of a line has a slope of 3 and passes through the point (-4,-5).
What is the equation of the line in point-slope form?

Answers

Answer:

3x - y + 7 = 0

Step-by-step explanation:

The given point is , ( -4 , -5) and the slope is 3. The point slope form is ,

=> y - y₁ = m( x - x₁)

=> y - (-5) = 3 { x - (-4) }

=> y +5 = 3( x + 4 )

=> y + 5 = 3x + 12

=> 3x - y + 12 - 5 = 0

=> 3x - y +7 = 0

Hence the equation of the line is 3x - y + 7 = 0 .

What is the most specific name for the figure?
A(-a, 0)
B(-2a, a)
C(-a, 2a)
D(0, a)
A. Parallelogram
B. Rectangle
C. Square
D. Rhombus

Answers

Answer:

Its C. Square

Step-by-step explanation:

The most specific name for the figure is Square.

What  is Quadrilateral?

A quadrilateral is a four-sided polygon in geometry with four sides and four vertices. The Latin words quadri, which means "four," and latus, which means "side," are the sources of the word. Similar to other polygons like the pentagon, it is also known as a tetragon, derived from the Greek words "tetra," which means "four," and "gon," which means "corner" or "angle." It is also known as a quadrangle or a 4-angle because the word "gon" means "angle."

Given figure with coordinates

(-a, 0), (-2a, a), (-a, 2a), (0, a)

from coordinates length of side can be calculated excluding negative sign,

side = (y₂ - y₁)/(x₂ - x₁)

AB = (a - 0)/(-2a + a) = -1

BC = (2a - a)/(-a + 2a) = 1

CD = (a - 2a)/(0 + a) = -1

DA = (a - 0)/(0 + a) = 1

excluding negative sign for length all sides are equal

it is a Square: A regular polygon with four sides of equal length and angles of equal length of 90 degrees each is called a square.

Hence the figure is Square.

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Given ABC AB=6,AC=9, find BC

Answers

Answer:

BC is 12

Step-by-step explanation:

Which means that you just add by 3 which is the rule

How many mL (milleters) are in 12.9 liters?

1. 129 mL
2. 1,290 mL
3. 12,900 mL
4. 129,000 mL


please help ASAP!

Answers

Given statement solution is :-12.9 liters are in milleters is  12,900 mL.

The metric system uses millilitres as the unit of volume, denoted by the letters ml or mL. One cubic centimetre, or one thousandth of a litre, is equivalent to one millilitre. That's a little sum in the imperial system.

A measure of volume in the metric system. One thousand milliliters equal one liter. Additionally known as cc, mL, and cubic centimetre.

To convert liters to milliliters, you need to multiply the number of liters by 1,000, since there are 1,000 milliliters in a liter.

So, multiplying 12.9 by 1,000 will give you the answer to how many millilitres are in 12.9 litres:

12.9 litres x litres per 1,000 = 12,900 mL

Therefore, option 3: 12,900 mL, is the milleters right response.

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Two trucks started toward each other at the same time from towns 500 lm scart One truck traveled at a rate of 65 km per hour wrile the other traveled at 50 km per hour. After how many hours did they meet?
If represents the number of hours, which of the following equations could be used to solve the problem?

65x=60x
65x -60x=500
65x+60x=500

Answers

Answer:

65x + 60x = 500

add 65x and 60x

this will equal 125x

divide 500 by 125

this will give you x = 4

which gives you the answer that the trucks will meet in 4 hours

please mark as brainliest

hope this helps : )

Step-by-step explanation:

HELP PLZZZZZ OMGGGGGGG

Answers

The money is a lot so it would be c

Hi 10 +10 here is me question help

Answers

Answer:

[tex] \huge\red{\boxed{\mathfrak{Hello}}}[/tex]

[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}[/tex]

[tex]10 + 10 \\ = 20[/tex]

Answer:20

Step-by-step explanation:

10+10=20

o.5 is < or > or = to 0.7

Answers

Answer:

.5 < .7

Step-by-step explanation:

unless its negatives, the bigger the number the more value it has

0.5 > 0.7 i hope this helpsssss

How can limit be used in real life

Answers

Answer:

Engineers use limits in real life.

Step-by-step explanation:

Limits are also used as real-life approximations to calculating derivataves. So to make calculations, engineers will approximate a function using small differences in the function and then try and calculate the derivative of the function by having smaller and smaller spacing in the function sample intervals.

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