# Harry's rectangular side yard is 2 yards by 14 yards with an area of 28 square yards. Which dimensions have the same area

QUESTION POSTED AT 14/01/2020 - 03:07 PM

QUESTION POSTED AT 14/01/2020 - 03:07 PM

4 yards by 7 yards. 2 multiplied by 14 is 28, and 4 multiplied by 7 is also 28.

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

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

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

Using the given equations to solve:

2x + 7y = 4

-4x - 3y = 14

Expressing one equation in terms of x:

2x + 7y = 4

2x = 4 - 7y

x = (4 - 7y)/2

Substituting to the other equation:

-4 [(4 - 7y)/2] - 3y = 14

-8 + 14y - 3y = 14

11y = 22

y = 2

Substituting back to the first equation:

2x + 7(2) = 4

2x + 14 = 4

2x = -10

x = -5

Therefore, (x,y) = (-5 , 2)

2x + 7y = 4

-4x - 3y = 14

Expressing one equation in terms of x:

2x + 7y = 4

2x = 4 - 7y

x = (4 - 7y)/2

Substituting to the other equation:

-4 [(4 - 7y)/2] - 3y = 14

-8 + 14y - 3y = 14

11y = 22

y = 2

Substituting back to the first equation:

2x + 7(2) = 4

2x + 14 = 4

2x = -10

x = -5

Therefore, (x,y) = (-5 , 2)

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

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

Let Parry's age be x years.

Then Dylan's age = (x + 9) years.

Now we can add the ages and let the sum be 65 years:

x + x + 9 = 65

2x = 65 - 9

x = = 28 years.

Then Dylan's age = (x + 9) years.

Now we can add the ages and let the sum be 65 years:

x + x + 9 = 65

2x = 65 - 9

x = = 28 years.

ANSWERED AT 21/01/2020 - 10:24 AM

QUESTION POSTED AT 21/01/2020 - 10:24 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

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

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

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

When figuring out this type of question, we work backwards.

So, let's say that d= Dylan's age, p= Parry's age and s= the sum of their ages.

So d= p+9 and p+d=65.

When we write this as an expression, we get p + (p+9) =65.

We need to work out what*p* is!

First, let's take away 9 from 65. We get 56.

Now we know that Dylan and Parry's age is 56 divided by 2, because there are two of them. We know this because Dylan is 9 years older than Parry, and when we minus this 9, their ages are equal!

So, now it is a simple matter of dividing 56 by 2. This equals 28! Is this Parry's age?

To be sure, let's subsititue the factors we found into our equation:* **p + (p+9) =65.*

So, 28 + (28+9) =56

To simplify, 28 + 37 = 65.

Everything checks out! Parry's age is 28 years!

So, let's say that d= Dylan's age, p= Parry's age and s= the sum of their ages.

So d= p+9 and p+d=65.

When we write this as an expression, we get p + (p+9) =65.

We need to work out what

First, let's take away 9 from 65. We get 56.

Now we know that Dylan and Parry's age is 56 divided by 2, because there are two of them. We know this because Dylan is 9 years older than Parry, and when we minus this 9, their ages are equal!

So, now it is a simple matter of dividing 56 by 2. This equals 28! Is this Parry's age?

To be sure, let's subsititue the factors we found into our equation:

So, 28 + (28+9) =56

To simplify, 28 + 37 = 65.

Everything checks out! Parry's age is 28 years!

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

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

What are the answer choices?

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

QUESTION POSTED AT 21/01/2020 - 09:48 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: D. (-14, -54)

WORKINGS

According to Table 1: y = 4x + 2 … (Equation I)

According to Table 2: y = 3x – 12 … (Equation II)

Substitute the value of y in equation I (4x + 2) for y in Equation II to solve for x

y = 3x – 12

4x + 2 = 3x – 12

4x – 3x = -12 – 2

x = -14

Substitute -14 for x in Equation I to solve for y

y = 4x + 2

y = 4(-14) + 2

y = -56 + 2

y = -54

Therefore, x= -14; y = -54

WORKINGS

According to Table 1: y = 4x + 2 … (Equation I)

According to Table 2: y = 3x – 12 … (Equation II)

Substitute the value of y in equation I (4x + 2) for y in Equation II to solve for x

y = 3x – 12

4x + 2 = 3x – 12

4x – 3x = -12 – 2

x = -14

Substitute -14 for x in Equation I to solve for y

y = 4x + 2

y = 4(-14) + 2

y = -56 + 2

y = -54

Therefore, x= -14; y = -54

ANSWERED AT 21/01/2020 - 09:46 AM

QUESTION POSTED AT 21/01/2020 - 09:46 AM

Hello,

The correct answer is **A)** |-20 - 14| = |-34| = 34 units

Hope this helps!!!!

ANSWERED AT 21/01/2020 - 09:42 AM

QUESTION POSTED AT 21/01/2020 - 09:42 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

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

Is it like bedmas or exponents or something similar

ANSWERED AT 21/01/2020 - 09:36 AM

QUESTION POSTED AT 21/01/2020 - 09:36 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

Use the formula for the conditional probability:

Consider such events

A - a senior takes the bus to school every day;

B - a senior has a driver’s license,

then

,

and

In percent this is nearly 17%.

**Answer:** correct choice is B.

ANSWERED AT 21/01/2020 - 09:29 AM

QUESTION POSTED AT 21/01/2020 - 09:29 AM

A parabola can be written in the form . If x is squared then the parabola open vertically (either upwards or downwards) while if y is squared then the parabola opens horizontally to the left or right.

**since in this equation x is squared the the parabola opens either upwards or downwards vertically.**

If the coefficient a is positive, then that means that the parabola has a minimum value and opens upwards (smiley face) while if a is negative then that means the parabola has a maximum and opens downwards (sad face)

**since in this equation a is positive then that means that not only does the parabola open on the vertical plane, but it also has a minimum and opens upwards (smiley face).**

If the coefficient a is positive, then that means that the parabola has a minimum value and opens upwards (smiley face) while if a is negative then that means the parabola has a maximum and opens downwards (sad face)

ANSWERED AT 21/01/2020 - 09:27 AM

QUESTION POSTED AT 21/01/2020 - 09:27 AM

For this case, what we must do is find three times the perimeter of the figure.

The length of the arch is given by:

Where,

r: radius of the circle

alpha: central angle in radians

We have then:

Then, the perimeter of the figure is:

**Answer:
**

**If David runs around the field three times, he covers a distance of 648 yards.**

ANSWERED AT 21/01/2020 - 09:26 AM

QUESTION POSTED AT 21/01/2020 - 09:26 AM