# What is the length of a side of a cube with a volume of 2197 ft3?

QUESTION POSTED AT 14/01/2020 - 03:05 PM

QUESTION POSTED AT 14/01/2020 - 03:05 PM

Vloume = (Length)^3

so, Length = (2197)^(1/3)

Length = 13 ft

so, Length = (2197)^(1/3)

Length = 13 ft

Circumference of the wheel in question = 35 cm

As the wheel is a circle, so

Circumference of the wheel = 2 * (pi) * (radius)

35 = 2 * (pi) * (radius)

Then

Radius = 35/2(pi)

Area of the wheel = (pi) * (radius) ^2

= (pi) * [35/2(pi)]^2

= (35)^2/4(pi)

= 1225/(4 * 3.14159)

= 1225/12.56636

= 97.48 cm^2

= 97.5 cm^2

The correct option among all the options that are given in the question is the first option.

As the wheel is a circle, so

Circumference of the wheel = 2 * (pi) * (radius)

35 = 2 * (pi) * (radius)

Then

Radius = 35/2(pi)

Area of the wheel = (pi) * (radius) ^2

= (pi) * [35/2(pi)]^2

= (35)^2/4(pi)

= 1225/(4 * 3.14159)

= 1225/12.56636

= 97.48 cm^2

= 97.5 cm^2

The correct option among all the options that are given in the question is the first option.

ANSWERED AT 21/01/2020 - 10:32 AM

QUESTION POSTED AT 21/01/2020 - 10:32 AM

The correct answer is option A. Law of cosines is expressed as a^2=b^2+c^2−2bccosA. To be able to use this expression to find the interior angle, we need to know the lengths of all three sides of the triangle.

ANSWERED AT 21/01/2020 - 10:28 AM

QUESTION POSTED AT 21/01/2020 - 10:28 AM

Let

x-------> the length of the rectangle

y------> the width of the rectangle

d----> the diagonal of the rectangle

we know that

The diagonal forms a pair of 30-60-90 right triangles

**Step 1**

__Find the value of y__

Solve for y

we have

substitute

**Step 2**

__Find the value of x__

Solve for x

we have

substitute

therefore

__the answer is__

** by **

ANSWERED AT 21/01/2020 - 10:28 AM

QUESTION POSTED AT 21/01/2020 - 10:28 AM

The area of a rectangle is obtained through the equation,

A = L x W

The width of the yard is 4 ft less than the length and may be expressed as L - 4. Length may be solved through the following steps,

A = (L)(L-4) ; 96 = L(L - 4) ; L = 12 ft

The length and width are 12 ft and 8 ft, respectively. Perimeter may be solved through the equation,

P = 2 x (L + W)

Substituting the values of L and W

P = 2 x ( 12 ft + 8 ft) = 40 ft

Therefore, the perimeter of the yard is 40 ft.

A = L x W

The width of the yard is 4 ft less than the length and may be expressed as L - 4. Length may be solved through the following steps,

A = (L)(L-4) ; 96 = L(L - 4) ; L = 12 ft

The length and width are 12 ft and 8 ft, respectively. Perimeter may be solved through the equation,

P = 2 x (L + W)

Substituting the values of L and W

P = 2 x ( 12 ft + 8 ft) = 40 ft

Therefore, the perimeter of the yard is 40 ft.

ANSWERED AT 21/01/2020 - 10:28 AM

QUESTION POSTED AT 21/01/2020 - 10:28 AM

Here are the steps

1: Put the compass on Q and make the width equal to the distance from Q to L. Extend line LM towards the left side of L and draw an arc hitting the line segment on the left side of L

2. Without changing the width and position of the compass, draw an arc between L and M.

3. Without changing the width of the compass, put the compass on the point of intersection of the arc and line LM (left side of L). Draw an arc above line LM.

4. Without changing the width of the compass, put the compass on the point of intersection of the arc and line LM (right side of L). Draw an arc above line LM.

5. Use a straight edge to make a line from the intersection of the two arcs above line LM to Q intersecting through L along the way.

1: Put the compass on Q and make the width equal to the distance from Q to L. Extend line LM towards the left side of L and draw an arc hitting the line segment on the left side of L

2. Without changing the width and position of the compass, draw an arc between L and M.

3. Without changing the width of the compass, put the compass on the point of intersection of the arc and line LM (left side of L). Draw an arc above line LM.

4. Without changing the width of the compass, put the compass on the point of intersection of the arc and line LM (right side of L). Draw an arc above line LM.

5. Use a straight edge to make a line from the intersection of the two arcs above line LM to Q intersecting through L along the way.

ANSWERED AT 21/01/2020 - 10:27 AM

QUESTION POSTED AT 21/01/2020 - 10:27 AM

I saw the image of this problem.

For the quadrilateral to be parallelogram, MP = PO

MP = y + 25

PO = 5y + 29

y + 25 = 5y + 29

y - 5y = 29 - 25

-4y = 4

y = 4/-4

y = -1

MO = MP + OP

MO = y + 25 + 5y + 29

MO = -1 + 25 + 5(-1) + 29

MO = -1 + 25 - 5 + 29

MO = -6 + 54

MO = 48 Choice B.

For the quadrilateral to be parallelogram, MP = PO

MP = y + 25

PO = 5y + 29

y + 25 = 5y + 29

y - 5y = 29 - 25

-4y = 4

y = 4/-4

y = -1

MO = MP + OP

MO = y + 25 + 5y + 29

MO = -1 + 25 + 5(-1) + 29

MO = -1 + 25 - 5 + 29

MO = -6 + 54

MO = 48 Choice B.

ANSWERED AT 21/01/2020 - 10:27 AM

QUESTION POSTED AT 21/01/2020 - 10:27 AM

The answer is letter D. The congruent triangles are congruent.

A parallelogram is congruent if the corresponding angles are congruent and they form a common triangle. A parallelogram is also congruent if the sides are parallel to each other and can be divided into two common triangles.

ANSWERED AT 21/01/2020 - 10:26 AM

QUESTION POSTED AT 21/01/2020 - 10:26 AM

A parallelogram is a 4-sided polygon whose opposite sides are equal. By definition, opposite angles are also equal. A square, rectangle, or rhombus are considered as a parallelogram. Among the choices, the correct answer is D. "Opposite angles are congruent"

ANSWERED AT 21/01/2020 - 10:26 AM

QUESTION POSTED AT 21/01/2020 - 10:26 AM

An interesting thing is that oblique cylinders have the same volume as a right cylinder
of the same radius and height. The height must be the perpendicular
height, but as long as the radius and height are the same the volume does not change.

ANSWERED AT 21/01/2020 - 10:22 AM

QUESTION POSTED AT 21/01/2020 - 10:22 AM

The mass of the ocean is and the volume of the ocean is

**Further explanation:
**

The relation between mass, density and volume can be expressed as follows,

Here, is the density, is the mass and is the volume.

**Given:
**

The volume of all the oceans is

**Explanation:
**

The volume of the ocean in cubic meters can be expressed as follows,

Density of the water is

The mass of the water can be obtained as follows,

The mass of the ocean is and the volume of the ocean is

**Learn more:
**

- Learn more about inverse of the functionhttps://brainly.com/question/1632445.
- Learn more about equation of circle brainly.com/question/1506955.
- Learn more about range and domain of the function brainly.com/question/3412497

**Answer details:
**

**Grade: **High School

**Subject: **Mathematics

**Chapter: **Mensuration

**Keywords:** density, volume, oceans, water, density of water, the mass, mass, volume in cubic meters, cubic meters, kilogram, volume of oceans, convert.

ANSWERED AT 21/01/2020 - 10:15 AM

QUESTION POSTED AT 21/01/2020 - 10:15 AM

1. The function is C. (serial number, model number) since each serial number has a certain model number.

2. The answer is D. Neither the relation (length, volume) nor the relation (volume, length) is a function. Other variables are needed in solving for the volume not only the length so the relation isn't a function.

A function is where every element in the domain is included and one input is related to only one output.

2. The answer is D. Neither the relation (length, volume) nor the relation (volume, length) is a function. Other variables are needed in solving for the volume not only the length so the relation isn't a function.

A function is where every element in the domain is included and one input is related to only one output.

ANSWERED AT 21/01/2020 - 10:14 AM

QUESTION POSTED AT 21/01/2020 - 10:14 AM

I think the answer is c because it shows the final answer as a improper fraction so the final answer needs to be reduced or simplified.

ANSWERED AT 21/01/2020 - 10:13 AM

QUESTION POSTED AT 21/01/2020 - 10:13 AM

Given the values of the dimensions of the two prisms, the volumes are the same. Among the choices, the correct answer is A. "Yes, because the heights are equal and the cross-sectional areas at every level parallel to the bases are also equal." The volumes of both prisms can be solved by multiplying the cross-sectional area and the height. Solving both volumes would equate to a volume of 180 in^3.

ANSWERED AT 21/01/2020 - 10:13 AM

QUESTION POSTED AT 21/01/2020 - 10:13 AM

Volume of a cone: (1/3)*(PI)*(r^2)*h

5=(1/3)*(PI)*(r^2)*h

(r^2)*h=4.774648

Volume of the cylinder outside the cone: (PI)*(r^2)*h

V=(PI)*4.774648

V=15 in3

The answer is A. 15 in3

5=(1/3)*(PI)*(r^2)*h

(r^2)*h=4.774648

Volume of the cylinder outside the cone: (PI)*(r^2)*h

V=(PI)*4.774648

V=15 in3

The answer is A. 15 in3

ANSWERED AT 21/01/2020 - 10:10 AM

QUESTION POSTED AT 21/01/2020 - 10:10 AM

All the angles of an equilateral triangle measures 60 degrees. The altitude measuring 10 is a side of the right triangle opposite to the angle. The side of the equilateral triangle becomes the hypotenuse to the right triangle generated by drawing the altitude. To get the measure of the hypotenuse, multiply the altitude to the sine of 60 degrees. The operation gives an answer of 8.66.

Thus, the length of each side of the equilateral triangle measures approximately 8.66 units.

Thus, the length of each side of the equilateral triangle measures approximately 8.66 units.

ANSWERED AT 21/01/2020 - 09:50 AM

QUESTION POSTED AT 21/01/2020 - 09:50 AM

It is equal to 4 times the volume of a cube

ANSWERED AT 21/01/2020 - 09:49 AM

QUESTION POSTED AT 21/01/2020 - 09:49 AM

**Answer:**

12

**Step-by-step explanation:**

Binomial expression:

Where n = No. of trials i.e. no. of times experiment occur

p= Probability of success

q= Probability of Failure

r= No. of success.

**We are given that Sonia rolls a six sided number cube 12 times and records of she rolls a 2.**

Since here the cube was rolled 12 times.

Thus n =12

So, No. of trials =12

**Hence the number of trials for this binomial experiment is 12.**

ANSWERED AT 21/01/2020 - 09:48 AM

QUESTION POSTED AT 21/01/2020 - 09:48 AM

**Answer:**

As given Point A is the center of the circle.

We will answer this question by considering all the options.

Option 1. FA : AE [ Both FA and EA are radius of circle .So their ratio can't be equal to 1:2.]

Option 2. CB : FE [ CB is a chord and FE is a Diameter as length of Chord not given, So we can't Predict about their Ratio.]

Option 3: FE : AH [As FE is the Diameter and AH is radius.Diameter = 2 × Radius,So FE : AH=2:1]

Option 4 : AH : FE [Explained above AH: FE=1:2]

Option 5: AH : AD [AH is the radius of the circle and D is any point on AH So their ratio can't be 1:2.]

**Option (d) AH : FE = Radius : Diameter=1:2 is true.**

ANSWERED AT 21/01/2020 - 09:40 AM

QUESTION POSTED AT 21/01/2020 - 09:40 AM

You have a 1/2 chance of winning points on the flipping of the coin and a 36/64 chance of winning on the spinner. I got the coin because there's a half chance of guessing the side right and I got the spinner by drawing a two-way diagram.

ANSWERED AT 21/01/2020 - 09:39 AM

QUESTION POSTED AT 21/01/2020 - 09:39 AM

90 degree rotation (CCW):

(x,y) -> (-y,x)

(x,y) -> (-y,x)

ANSWERED AT 21/01/2020 - 09:37 AM

QUESTION POSTED AT 21/01/2020 - 09:37 AM

Wellll, hold up there for just a second.

"A plane" is infinite. Whatever direction you pick in "a plane",

the plane keeps going in that direction forever and never ends.

So "a plane" has NO dimensions.

Any PART of "a plane" has TWO dimensions, because any PART

of it that you pick occupies some length and some width.

A better way to say it is like this:

If you stick a nail into the plane at one point, THEN, to describe ANY

OTHER point in the plane relative to the nail, you need TWO NUMBERS.

THAT's why a line has one dimension, a plane has two, and a solid has

three dimensions ... it's**how many numbers** you need if you want to

send somebody to another point from where you're sitting.

"A plane" is infinite. Whatever direction you pick in "a plane",

the plane keeps going in that direction forever and never ends.

So "a plane" has NO dimensions.

Any PART of "a plane" has TWO dimensions, because any PART

of it that you pick occupies some length and some width.

A better way to say it is like this:

If you stick a nail into the plane at one point, THEN, to describe ANY

OTHER point in the plane relative to the nail, you need TWO NUMBERS.

THAT's why a line has one dimension, a plane has two, and a solid has

three dimensions ... it's

send somebody to another point from where you're sitting.

ANSWERED AT 21/01/2020 - 09:37 AM

QUESTION POSTED AT 21/01/2020 - 09:37 AM

**Answer:**

C

**Step-by-step explanation:**

ANSWERED AT 21/01/2020 - 09:32 AM

QUESTION POSTED AT 21/01/2020 - 09:32 AM

Possible side lengths of a triangle are determined by the triangle inequality:

a+b>c

where a and b are the shorter sides, (i.e. c is the longest side).

Note that equality does not hold, because it will make a "triangle" with an angle equal to zero degrees.

An example, choice a, 3+5<9, so they are not possible side lengths.

EDITED 2018-02-26

As already indicated in comments, (4, 8, 10) is a feasible set of sides for triangles because the shorter sides are 4 and 8, and the sum (12) is greater than the third side (10).

a+b>c

where a and b are the shorter sides, (i.e. c is the longest side).

Note that equality does not hold, because it will make a "triangle" with an angle equal to zero degrees.

An example, choice a, 3+5<9, so they are not possible side lengths.

EDITED 2018-02-26

As already indicated in comments, (4, 8, 10) is a feasible set of sides for triangles because the shorter sides are 4 and 8, and the sum (12) is greater than the third side (10).

ANSWERED AT 21/01/2020 - 09:32 AM

QUESTION POSTED AT 21/01/2020 - 09:32 AM

Perimeter of triangle is sum of all the 3 sides.

So,

perimeter

= 3x-4 + x^2-1 +2x^2 -15

combining like terms,

= 3x^2 + 3x -20

given that x = 4,

= 3(4^2) +3(4) -20

= 3(16) +12-20

= 48 -8

= 40

hence the perimeter is 40 feet.

So,

perimeter

= 3x-4 + x^2-1 +2x^2 -15

combining like terms,

= 3x^2 + 3x -20

given that x = 4,

= 3(4^2) +3(4) -20

= 3(16) +12-20

= 48 -8

= 40

hence the perimeter is 40 feet.

ANSWERED AT 21/01/2020 - 09:19 AM

QUESTION POSTED AT 21/01/2020 - 09:19 AM

**Answer:**

A is correct.

**Step-by-step explanation:**

**55/100*32/100= 0.176**

You put the number of heads and the times of the cube rolling on 2 and multiply them. you have to put the numbers over 100. hope this helps:)

ANSWERED AT 21/01/2020 - 09:10 AM

QUESTION POSTED AT 21/01/2020 - 09:10 AM

100 times rolled total

32 times number 2 was rolled

32/100 chance of rolling a 2 on the number cube

Heads was flipped 55 times, 100 total flips so 55/100

(32/100) x (55/100) = .176

176/1000 x 10 =

1760/10000 A

32 times number 2 was rolled

32/100 chance of rolling a 2 on the number cube

Heads was flipped 55 times, 100 total flips so 55/100

(32/100) x (55/100) = .176

176/1000 x 10 =

1760/10000 A

ANSWERED AT 21/01/2020 - 09:09 AM

QUESTION POSTED AT 21/01/2020 - 09:09 AM

Let L and W be the length and width of the rectangle, respectively. To solve for the perimeter (P) and area (A), use the following formula:

P = 2 x (L + W)

A = L x W

Substituting the given value for the dimensions,

P = 2 x (2m + 3m) = 10 m

A = 2m x 3m = 6m^2

Therefore, the perimeter is 10m and the area is 6m^2.

P = 2 x (L + W)

A = L x W

Substituting the given value for the dimensions,

P = 2 x (2m + 3m) = 10 m

A = 2m x 3m = 6m^2

Therefore, the perimeter is 10m and the area is 6m^2.

ANSWERED AT 21/01/2020 - 09:09 AM

QUESTION POSTED AT 21/01/2020 - 09:09 AM

Area = 5 x 5 = 25in

perimeter = 4(5) = 20 inch

perimeter = 4(5) = 20 inch

ANSWERED AT 21/01/2020 - 09:08 AM

QUESTION POSTED AT 21/01/2020 - 09:08 AM

Hello,

x=k_1*y³

y=k_2*z^(1/5)

x=k_3*z^n

x=k_1*k_2^3*z^(3/5)

==>n=3/5

x=k_1*y³

y=k_2*z^(1/5)

x=k_3*z^n

x=k_1*k_2^3*z^(3/5)

==>n=3/5

ANSWERED AT 21/01/2020 - 09:03 AM

QUESTION POSTED AT 21/01/2020 - 09:03 AM

The volume of a solid that has seven cubes is 10m

ANSWERED AT 21/01/2020 - 09:01 AM

QUESTION POSTED AT 21/01/2020 - 09:01 AM