# A circular pan has a diameter of 8 inches. What is the exact area of the pan? A. 256π square inches B. 8π square inches C. 64π square inches D. 16π square inches

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

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

D/2=r

area=pir^2

d=8

8/2=4=r

area=pi4^2

aera=16pi

answer is D

area=pir^2

d=8

8/2=4=r

area=pi4^2

aera=16pi

answer is D

Using a scale that has increments that are somewhat large, you could get an error if you reach half of the measuring unit. This is because when you arrive at a measurement greater than half of the measuring unit, you would have to round it up. Therefore, the greatest possible error when measuring to the nearest quarter of an inch is 1/8 inch.

ANSWERED AT 21/01/2020 - 10:45 AM

QUESTION POSTED AT 21/01/2020 - 10:45 AM

**Answer:**

I'm doing the test the correct answer is he is making a square

**Step-by-step explanation:**

you can look at it and see that hes making a square because the square is the only one with the line through the center of the circle

ANSWERED AT 21/01/2020 - 10:44 AM

QUESTION POSTED AT 21/01/2020 - 10:44 AM

**Answer: Option 'c' is correct.**

**Step-by-step explanation:**

Since we know that

**A square is a quadrilateral whose all sides are equal and all angles are equal too.**

So, A square is equilateral.

A square is equiangular both.

Since a square is also a parallelogram.

But we need the statement which best describes a square.

**So, Option 'c' is correct., i.e. A square is equiangular and equilateral.**

ANSWERED AT 21/01/2020 - 10:39 AM

QUESTION POSTED AT 21/01/2020 - 10:39 AM

The situation above described that Jeff added two - thirds of 128 to the flour. The numerical value of (2/3)(128) is 85.33 grams. The recipe says to add only 32 grams of vanilla powder. Hence, Jeff went over the prescribed amount.

To determine the excess amount, subtract 32 from 85.33 which has a numerical value of 53.33 grams.

To determine the excess amount, subtract 32 from 85.33 which has a numerical value of 53.33 grams.

ANSWERED AT 21/01/2020 - 10:38 AM

QUESTION POSTED AT 21/01/2020 - 10:38 AM

**Answer:**

the answer is D and B

**Step-by-step explanation:**

APEX

ANSWERED AT 21/01/2020 - 10:38 AM

QUESTION POSTED AT 21/01/2020 - 10:38 AM

Parallel axis thm says that about a point of rotation not the center of mass a distance d away from the center of mass

I=Icm+Md^2

For a hollow lead sphere

IH=2/3MR^2

and the moment of inertia about the center of mass for the balsa sphere is

Icm=2/5MR^2

So to set them equal to each other

IH=Icm+Md^2

2/3MR^2=2/5MR^2+Md^2

M(2/3R^2)=M(2/5R^2+d^2)

cancel out the M

d^2=(2/3−2/5)R^2

answer is

I=Icm+Md^2

For a hollow lead sphere

IH=2/3MR^2

and the moment of inertia about the center of mass for the balsa sphere is

Icm=2/5MR^2

So to set them equal to each other

IH=Icm+Md^2

2/3MR^2=2/5MR^2+Md^2

M(2/3R^2)=M(2/5R^2+d^2)

cancel out the M

d^2=(2/3−2/5)R^2

answer is

ANSWERED AT 21/01/2020 - 10:37 AM

QUESTION POSTED AT 21/01/2020 - 10:37 AM

Convert first the cost of $98 /yd³ by the conversion factor that 1 yd³ = 27 ft³.

($98 /yd³) (1 yd³ / 27 ft³) = $ 3 17/27/ft³

Let x be the width, the volume of the rectangular portion of the driveway is,

V = (8 ft) (1/3 ft) x = 8x/3 ft³

Using the given total cost of the protion,

C = $58.07 = (8x/3 ft³)($ 3 17/27/ft³)

x = 5.99957 ft

Thus, the answer is d. 6 feet.

($98 /yd³) (1 yd³ / 27 ft³) = $ 3 17/27/ft³

Let x be the width, the volume of the rectangular portion of the driveway is,

V = (8 ft) (1/3 ft) x = 8x/3 ft³

Using the given total cost of the protion,

C = $58.07 = (8x/3 ft³)($ 3 17/27/ft³)

x = 5.99957 ft

Thus, the answer is d. 6 feet.

ANSWERED AT 21/01/2020 - 10:36 AM

QUESTION POSTED AT 21/01/2020 - 10:36 AM

We will use Pythagorean theorem:

x - The direct distance between the lizard and the cactus;

r = 7 - radius of the cactus;

x + 7 - the distance between the lizard and the center of the cactus:

( x + 7 )² = 7² + 8²

( x + 7)² = 49 + 64

( x + 7 )² = 113

x + 7 = √ 113

x + 7 = 10.63

x = 10.63 - 7

**x = 3.63**

Answer: A)

x - The direct distance between the lizard and the cactus;

r = 7 - radius of the cactus;

x + 7 - the distance between the lizard and the center of the cactus:

( x + 7 )² = 7² + 8²

( x + 7)² = 49 + 64

( x + 7 )² = 113

x + 7 = √ 113

x + 7 = 10.63

x = 10.63 - 7

Answer: A)

ANSWERED AT 21/01/2020 - 10:35 AM

QUESTION POSTED AT 21/01/2020 - 10:35 AM

The volume of cylinder is

Express h from this expresiion:

The full surface area of this cylinder is

Then in terms of r the area is

Find the derivative

Equate to zero:

When , the derivative is <0 (area is decreasing) and when , the derivative is >0 (area is increasing). This means that is point of minimum.

Thus,

**Answer:** the approximate values: r≈28.74 in, h≈6.13 in. and the exact values:

in,

in.

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

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

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

D. The polynomial is a perfect square trinomial. This is not a requirement for a given polynomial in factoring a difference of perfect squares.

ANSWERED AT 21/01/2020 - 10:30 AM

QUESTION POSTED AT 21/01/2020 - 10:30 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

We know that cosecant theta is hypotenus over opposite of a triangle. We are given that this value is equal to (√17)/4 so 4 is the opposite side of theta. Cotangent theta is the adjacent over opposite. We use the pythagorean theorem to find for the adjacent side.

a = √17 - 4^2

a = 1

Therefore, cotangent of theta is equal to 1/4.

a = √17 - 4^2

a = 1

Therefore, cotangent of theta is equal to 1/4.

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

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

Every foot is composed of 12 inches. Below is the way to solve the number of inches (n) in 12 ft.

n = (12 ft) x (12 inches / 1 ft) = 144 inches

To determine the number of 2-inch segments, divide 144 inches by 2. The division gives an answer of 72. Thus, there are 72 2-inch segment in 12 ft.

n = (12 ft) x (12 inches / 1 ft) = 144 inches

To determine the number of 2-inch segments, divide 144 inches by 2. The division gives an answer of 72. Thus, there are 72 2-inch segment in 12 ft.

ANSWERED AT 21/01/2020 - 10:23 AM

QUESTION POSTED AT 21/01/2020 - 10:23 AM

**Answer:**

**Option C is the answer. **

**Step-by-step explanation:**

A ball is painted ruby red and costs $100.00 to paint and Ruby red paint costs $0.50 per square inch.

This means for an area of , $100 were used. because the ball is a sphere.

where r is the radius.

**We know that , Area of ball * cost of paint per square inch = total cost of paint.**

; inch

**Radius is 3.99 inches. or we can round this to 4 inches.**

**Hence, the diameter will be = inches.**

**Therefore, option C: 8 inches is the answer.**

ANSWERED AT 21/01/2020 - 10:16 AM

QUESTION POSTED AT 21/01/2020 - 10:16 AM

A theorem is considered to be a statement that is demonstrated to be correct by approved mathematical arguments and operations. Postulates or axioms as it is sometimes called, is considered to be true even without proof. Given these information, statement 1 is a theorem and statement 2 is a postulate.

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

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

First let us say that if a 25-square-foot quilt is done that is counted as 1 job. So the rate of Renee is 1 job/16 hours. The rate of Genera is 1/12. To solve the time to finish one job when both are working, we represent it with an algebraic expression as follows:

Then x = 6 6/7 hours.

Then x = 6 6/7 hours.

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

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

a. the figure would be a congruent if the diagonals were congruent

ANSWERED AT 21/01/2020 - 10:12 AM

QUESTION POSTED AT 21/01/2020 - 10:12 AM

The correct answer for this question is 4.

We have to bear in mind that any number should be less than 5 to make the square root be an imaginary number.

Starting with 4

= square root (4 - 5)

= square root (-1)

= imaginary

We have to bear in mind that any number should be less than 5 to make the square root be an imaginary number.

Starting with 4

= square root (4 - 5)

= square root (-1)

= imaginary

ANSWERED AT 21/01/2020 - 10:12 AM

QUESTION POSTED AT 21/01/2020 - 10:12 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

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

What are the answer choices?

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

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

We are given with the rate of change of the base, db/dt equal to 1 ft/ sec and the rate of change of the height of the triangle, dh/dt equal to 2 ft/sec. b is 10 ft and h is 70 ft. Area of triangle is equal to A= 0.5 bh The rate of change of the area is equal to dA/dt = 0.5 b dh/dt + 0.5 h db/dt. Substituting, dA= 0.5*10*2 + 0.5*70 * 1 equal to 45 ft2 / sec.

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

Incline (slope) is defined rise/run (length)

Rise = 12" = 1'

Run (length) = 4'

Incline = 1'/4'=1/4 (or 0.25)

Rise = 12" = 1'

Run (length) = 4'

Incline = 1'/4'=1/4 (or 0.25)

ANSWERED AT 21/01/2020 - 09:30 AM

QUESTION POSTED AT 21/01/2020 - 09:30 AM

If the ball is launched from 4 ft above the ground with an upward velocity

of 36 ft/s, and the acceleration due to gravity is -16 ft/s², then at any time

't' seconds after launch, its height above the ground is

** H = -8 t² + 36 t + 4 .**

After 2 seconds, H = -8(2)² + 36(2) + 4

= -32 + (72) + 4

=**44 feet above the ground **.

_____________________________________________

Now, if the boys were to move their game to the Earth, where

the acceleration due to gravity is 32 ft/s² instead of 16 ft/s² ,

the ball's behavior would be noticeably different. Two seconds

after the same launch on Earth, the height of the ball would be

** H = -16 t² + 36 t + 4 .**

= -16(2)² + 36(2) + 4

= -64 + 72 + 4

=** 12 feet above the ground **.

of 36 ft/s, and the acceleration due to gravity is -16 ft/s², then at any time

't' seconds after launch, its height above the ground is

After 2 seconds, H = -8(2)² + 36(2) + 4

= -32 + (72) + 4

=

_____________________________________________

Now, if the boys were to move their game to the Earth, where

the acceleration due to gravity is 32 ft/s² instead of 16 ft/s² ,

the ball's behavior would be noticeably different. Two seconds

after the same launch on Earth, the height of the ball would be

= -16(2)² + 36(2) + 4

= -64 + 72 + 4

=

ANSWERED AT 21/01/2020 - 09:23 AM

QUESTION POSTED AT 21/01/2020 - 09:23 AM