A right rectangular prism has a height of 6.5 cm, a width of 8 cm, and a length of 12. 1 cm.
What is the volume of the prism? Enter the answer in the box.

Answers

Answer 1

Answer:  la respuesta es 314,6 cm

Step-by-step explanation:

V = 1/2 x longitud x anchura x altu

 v = 1/2 x 12,1 cm x 8 cm x 6,5 cm

= 0,5  x 12,1 cm x 8 cm x 6,5 cm

= 314,6 cm            

Answer 2

Answer:

[tex]≈

629.2 {cm}^{3} [/tex]

Step-by-step explanation:

[tex]volume = whl \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 8 \times 6.5 \times 12.1 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: ≈

629.2 {cm}^{3}

[/tex]


Related Questions

15 Points! Can someone help me with this?

Answers

Given:

Spinning top is in the shape of a square pyramid.

Side length of the base = 32 mm

Height of the pyramid = 32 mm

To find:

Volume of the spinning top

Solution:

Volume of the square pyramid:

[tex]$V=\frac{1}{3} b^{2} h[/tex]

[tex]$V=\frac{1}{3} \times (32)^{2} \times 32[/tex]

[tex]$V=1024 \times 32[/tex]

[tex]V=10922.66[/tex] cubic millimeter

The volume of the spinning top is 10922.66 cubic millimeter.

what’s the fraction fro 5/12+(-7/12)

Answers

Answer:

-.167= -1/6

Step-by-step explanation:

5/12+(-7/12)

=(5 × 12) + (-7 × 12)

_______________

          12 × 12

=-24/144

= -24 ÷ 24

      ________

        144 ÷ 24

= - 1

       _______

              6

Here is a list of numbers: -10, -11, -8, 17, -17, 4, -11 ,12 ,12 ,-4 State the median.

Answers

Answer:

The answer is (-6).

Step-by-step explanation:

Order the numbers from smallest to largest.

Then start eliminiating one from left, one from right until you get the median. Since in our case the median is in between (-8) and (-4). Sum the numbers and divide them by 2.

Good luck!

-6 is the median of the listed numbers you’ve stated



Suppose you only look at the height of the bars on the graph. Which conclusion would you MOST LIKELY reach?
A) Twice as many Democrats as Republicans agreed with the court.
B) Twice as many Republicans as Independents agreed with the court.
C) Three times as many Democrats as Republicans agreed with the court.
D) The total number of Republicans and Independents agreeing with the court is half the number of the Democrats that agreed.

Answers

Answer:c

Step-by-step explanation:

Select the correct answer. If the graph of function g is 6 units below the graph of function f, which could be function g? f(x) = -2x + 7
A. g(x) = -2x − 6
B. g(x) = -2x + 20
C. g(x) = -6x + 7
D. g(x) = -2x + 1

Answers

D. g(x) = -2x + 1
this is because if you wanted the function to be six below, the slope would not change but the y-intercept would go down 6

Answer:

D

Step-by-step explanation:

Complete the point-slope equation of the line through (-1,6) and (1,5).
Use exact numbers.
Y= 6

Answers

Answer:

Y-6=-1/2(x-(-1) )

Step-by-step explanation:

The Equation for the point-slope of the line is y - 6 = -1/2(x + 1).

What is the slope of a line?

A line's slope is defined as the ratio of the change in y coordinates to the change in x coordinates.

Both the net change in the y-coordinate and the net change in the x-coordinate are denoted by y and x, respectively.

Given coordinates (-1,6) and (1,5).

the slope of line is given by,

m = (y₂- y₁)/(x₂ - x₁)

y₂- y₁ = 5 - 6 = -1

x₂ - x₁ = 1 - (-1) = 2

m = -1/2

to find the equation at y = 6

when y = 6, x = -1

the equation is given by

y - y₁ = m(x - x₁)

y - 6 = -1/2(x -(-1))

y - 6 = -1/2(x + 1)

Hence equation of a line is y - 6 = -1/2(x + 1).

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In ΔWXY, the measure of ∠Y=90°, XW = 53, YX = 28, and WY = 45. What is the value of the cosine of ∠X to the nearest hundredth?

Answers

Answer:

Step-by-step explanation:

0.53 is the answer to the nearest hundredth.

To calculate the cosine of ∠X in the right triangle WXY, we use the ratio of the adjacent side length (YW = 45) to the hypotenuse length (XW = 53), which results in approximately 0.85 when rounded to the nearest hundredth.

In ΔWXY, we're given that ∠Y is a right angle, meaning that the triangle is a right triangle. To find the cosine of ∠X, we can use the definition of cosine in a right triangle, which is the ratio of the adjacent side to the hypotenuse in the context of the angle we're interested in. Since ∠X is across from side YW, and XW is the hypotenuse, we'll take the length of YW as the adjacent side. The formula for the cosine of angle X then becomes:

cos(∠X) = adjacent/hypotenuse = YW / XW = 45 / 53

Calculating this value, we get cos(∠X) = 0.8490566037735849, which when rounded to the nearest hundredth is 0.85.

Can someone check if this is right

Answers

The first one is correct, the second is irrational, the third is irrational, the fourth is correct, the fifth is rational, and the sixth is correct hon.

Help please, I’m stressing and I’m going to have a mental break down

Answers

Answer:

Step-by-step explanation:

Volume = surface area of base * height

[tex]=\frac{25}{4}*\frac{8}{5}\\\\=5*2=10\\\\=10 units^{3}[/tex]

A square in a rectangle have the same perimeter. The length of a side of the square is 4x-1. The length of the rectangle is 2x+2 and the width is 2x

Answers

The value x is 1, if the perimeter of square and rectangle are same. The perimeter of square and rectangle is 12 units.

Step-by-step explanation:

The given is,

                A square in a rectangle have the same perimeter

                The length of a side of the square is 4x-1

                The length of the rectangle is 2x+2 and width is 2x

Step:1

                Let, a - Side of square

                        l - Length of the rectangle

                       w - Width of the rectangle

Step:2

                Formula for perimeter of square is,

                                    [tex]p=4a[/tex].............................(1)

                Formula for perimeter of rectangle is,

                                   [tex]p=2(l+w)[/tex]....................(2)

Step:3

                From given,

                            Equation (1) = Equation (2)

                                 [tex]4a = 2 (l+w)[/tex]

               where,

                         a = 4x-1

                          l = 2x+2

                         w = 2x

               Substitute the values,

                       4 ( 4x-1 ) = 2 ( 2x+2+2x )

                            16x - 4 = 2 (4x + 2)

                            16x - 4 = 8x + 4

                          16x - 8x = 8                      

                                   8x = 8

                                     x = 1

Step:4

         Substitute the values of x,

                   a = 4(1)-1 = 3

                     l = 2(1)+2) = 4

                   w = 2(1) = 2

          Perimeter of square and rectangle is 12 units

Result:

           The value x is 1, if the perimeter of square and rectangle are same. The perimeter of square and rectangle is 12 units.

What is the volume of a cylinder with base radius 3 and height 8? Either enter an exact answer in terms of \piπpi or use 3.14, for \piπpi and enter your answer as a decimal.

Answers

First find the area of the base, and multiply that by the height. That's the answer.

Area of the base: pi * 3*3 = 3.14*9 = 28.26
Volume of the cylinder: 28.26*8 = 226.08 cubic units

answer is 72 then pi symbol

NEED HELP ASAP
which set of numbers could represent the lengths of the sides of right triangle

A. 7,9,11

B. 12,18,22

C. 10,15,20

D. 8,15,17​

Answers

We have to use Pythagorean Theorem to solve this. We square the two smallest sides, then add. If the sum is the square of the largest side, then it's our answer.

A. 7, 9, 11

49 + 81 = 130 121

B. 12, 18, 22

144 + 324 = 468 484

C. 10, 15, 20

100 + 225 = 325 400

D. 8, 15, 17

64 + 225 = 289 = 289

So, our answer is D

answer n.8 for me pls

Answers

Answer:

Step-by-step explanation:

(13)2−(2x+7)=0

19x2−2x−7=0

9(19x2−2x−7)=9(0)

x2−18x−63=0

(x−21)(x+3)=0

Therefore, the value of x are

x - 21 = 0 and x + 3 = 0

x = 21 x = -3

What’s common denominators for 2/5 and 3/5

Answers

Answer:

5

Step-by-step explanation:

The fractions already have a common denominator of 5

Ju Wenjun is an ecologist who studies the change in the tiger population of Siberia over time. The relationship between the elapsed time ttt, in years, since Ju Wenjun started studying the population, and the number of tigers, N(t)N(t)N, left parenthesis, t, right parenthesis, is modeled by the following function N(t)=650⋅(1625)t
Complete the following sentence about the rate of change in the tiger population.
Round your answer to two decimal places.
The number of tigers decays by a factor of \dfrac45
5
4

start fraction, 4, divided by, 5, end fraction every

Answers

Answer:

The number of tigers decays by a factor of

                                                                         [tex]\dfrac{4}{5}[/tex]    every    0.50 years  

Explanation:

The correctly written function is

         [tex]N(t)=650\cdot \bigg(\dfrac{16}{25}\bigg)^t[/tex]

Convert 16/25 into its equivalent form (4/5)²

          [tex]N(t)=650\cdot \bigg(\dfrac{4}{5}\bigg)^{2t}[/tex]

If you make t = 1/2, this is half-year, the population of tigers will decay by a factor of 4/5 in that time. Every time the half-year passes, the population is multiplied by 4/5, which means that the polulation will decay by a factor of 4/5 whenever half a year elapses.

Hence, the number of tigers decays by a factor of 4/5 every 0.50 years.

The tiger population model indicates a decay by a factor of 4/5 every year. This factor shows the yearly reduction rate for the tiger population in Siberia.

To determine the rate of change in the tiger population modeled by the function N(t) = [tex]650 \cdot \left(\frac{16}{25}\right)^t,[/tex] we look at the decay factor in the exponential function. The base of the exponent, [tex]\frac{16}{25}[/tex], indicates that the population is decaying.

This decay factor can be expressed as [tex]\frac{4}{5}[/tex], where every year, the number of tigers decays by a factor of  [tex]\frac{4}{5}[/tex]. Thus, we can complete the sentence as follows:

The number of tigers decays by a factor of  [tex]\frac{4}{5}[/tex] every year.

What is the measure of B, in degrees?

Answers

because both sides are given as 10, the two bottom inside angles would be the same

C is directly proportional to the square of D and when C=32, D= 4. Find C when D= 3

Answers

Answer:C=6

Step-by-step explanation:C directly proportional to D

C=kD where k=constant

C=32, D=4×4

32=k16

K=32÷16

K=2

Now D=3 and k=2

C=kD

C=2×3

C=6

Answer: c=18

Step-by-step explanation:

C is directly proportional to square of D

C € D2

€ rep directly proportional

C=kd2

K is a constant

C=32

D=4

Substitute

32=k(4^2)

32=k(16)

32=16k

K=32/16

K=2

Since we know our constant k to be 2

Substitute

We are looking for c,when d=3

C=kd2

C=2×(3^2)

C=2×9

C=18

Martina is currently 12 years older than her cousin Joey. In 4 years she will be 3 times as old
as Joey. Use this information to answer the following questions.

Answers

[tex]\Huge{\underline{\underline{\sf{\red{AnSwEr:}}}}}[/tex]

[tex]\boxed{\sf{Martina's \: Present \: age = 14 \: years}}[/tex]

[tex]\boxed{\sf{Her \: cousin's \: Present \: age = 2\: years}}[/tex]

[tex]\Huge{\underline{\underline{\sf{\green{ExpLaNaTion:}}}}}[/tex]

= Let Martina's cousin's age be = n

= Let her age be = n+12

After four years,

Cousin's age = n+4

Her age = n+12+4=n+16

But according to the question her age = 3(n+4) = 3n+12

Thus,

3n+12=n+16

3n-n=16-12

2n=4

n=4/2

[tex] \boxed{ \sf {n = 2}}[/tex]

Thus ,

Her cousin's present age = n = 2

Her cousin's present age = n = 2Her present age = n+12 = 2+12=14

Answer please?????!!!!

Answers

Answer:

x = 3

Step-by-step explanation:

4x + 3 + 7x = -2x + 42

11x + 3 = -2x + 42

13x = 39

x = 3

Answer:

x=3

Step-by-step explanation:

4x+3+7x=-2x+42

combine like terms

11x+3=-2x+42

add 2x to both sides

13x+3=42

subtract 3 from both sides

13x=39

divide both sides by 13

x=3

Lucia has $600 in her checking account. She wants to spend part of this money on a computer. She wants to have exactly $250 left in her checking account after buying the computer. The equation shown can be used to find t, the amount of money in dollars that Lucia can spend on the computer: t + 250 = 600 Which solution represents the correct answer? *

Answers

Answer:

t = 350

Step-by-step explanation:

subtract 250 from each side, and then you'll have t = 350

Answer:

350

Step-by-step explanation:

600 minus 250 =350

350 plus 250 =600

I basically did the inverse operation to solve this equation    

A birthday hat is the same shape as a *

triangle
cone
ice cream scoop

Answers

Cone. Come on bruh how old are u

Eric is reading a book that has 144 pages. He reads 8 pages a day. How many days will it take Eric to finish reading the book?

Answers

Answer:

It will take him 18 days to finish the book.

Step-by-step explanation:

[tex]144/8=18[/tex]

Answer:

18

Step-by-step explanation:

You divide 144 by 8 and get the answer.

PLZ HELP!!!!!
3x/2 − 5/12
= 1/4

Answers

Answer:

x=4/9

Step-by-step explanation:

you have to multiply both sides by 12 to get 18x-5=3 then add 5 to both sides which would get you 18x=8, then divide both sides by 18 and you will get 4/9.

Which could be the area of one face of the triangular prism? Select three options.

A triangular prism. The rectangular sides are 12 by 10, 12 by 8, and 12 by 6. The triangular sides have a base of 8 and height of 6.
[Not drawn to scale]
24 square units
48 square units
72 square units
96 square units
144 square units

Answers

Answer:

(A)24 square units

(C)72 square units

(D)96 square units

Step-by-step explanation:

Triangular face

Height of the Triangle=6 Units

Base of the Triangle=8 Units

Area of the Triangular Face

[tex]=\frac{1}{2}bh\\ =\frac{1}{2}*8*6\\=24 $ square units[/tex]

Rectangular Faces

Area of Rectangular face with dimension 12 by 10=12 x 10=120 Square Units

Area of Rectangular face with dimension  12 by 8= 12 X 8=96 Square Units

Area of Rectangular face with dimension 12 X 6=12 x 6=72 Square Units

From the options, the areas are:

24 square units 72 square units 96 square units

Answer:

acd

Step-by-step explanation:

Estimate by rounding each number to the nearest ten thousand and then subtract

Answers

Answer:

50,000

Step-by-step explanation

80,000 - 30,000 = 50,000

80,000-30,000=50,000

Is 4.39463 a natural number

Answers

Answer:

i wanna say yes it is a natural number, i hope this helps

PLZZ HELPPP!!! Each edge of a wooden cube is 6 centimeters long. The cube has a density of 0.71 g/cm3
.

What is the mass of the wooden cube?

Enter your answer in the box.
g

Answers

Answer:

153.36g

Step-by-step explanation:

Density is defined as the ratio of mass per unit volume of a material.

Density = Mass/Volume

Given the edge of a cube which is equivalent to its length L to be 6cm.

Density of the cube = 0.71g/cm³

Volume of the cube = L³

Volume = 6³

Volume of the cube = 216cm³

Mass = Density × Volume

Mass of the cube = 0.71×216

Mass of the cube = 153.36grams

Answer:

153.36 grams

Step-by-step explanation:

Density is mass divided by volume: d = m/v.

Here, we already know that d = 0.71 g/cm³.

We can find the volume of hte cube. The volume of a cube is denoted by:

V = s³, where s is the side length

The cube's length is 6, so plug this in:

V = s³

V = 6³ = 216 cm³

Plug these values in:

d = m/v

0.71 g/cm³ = m / 216 cm³

m = 0.71 * 216 = 153.36 grams

The answer is 153.36 grams.

Find the perimeter of the figure.
square with a measure of 1x1
triangle with a measure of 5x3x3

Answers

Answer:

what does the shpe look like

Step-by-step explanation:

Answer:

perimeter=2

perimeter = 11

Step-by-step explanation:

What is the volume?
17 cm
13 cm
5 cm
It’s a triangular prism.

Answers

Answer:

1105 cubic centimetre

Step-by-step explanation:

volume of rectangular prism

[tex] = 17 \times 13 \times 5 \\ = 1105 \: {cm}^{3} [/tex]

Point A (-3, 5) is rotated 180º about the origin. What are the coordinates of A' after the rotation?

Answers

Final answer:

A point when rotated 180º about the origin flips the sign of the coordinates. Thus, point A' after rotating point A (-3,5) 180º about the origin would have coordinates (3,-5).

Explanation:

A rotation of 180º about the origin essentially changes the signs of the coordinates. If we have Point A as (-3, 5), after a 180° rotation about the origin, you'll get Point A', which will be the opposite of Point A. That means it turns (-3, 5) to (3, -5).

Rotation about the origin flips the point across both axes. This is based on a rule in mathematics: When we rotate a point 180° about the origin, (x, y) becomes (-x, -y).

The coordinates of A' after the 180° rotation are (3, -5).

Learn more about Rotation here:

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