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

Answered by admin 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.

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Related questions

A rectangle has an area of 96 sq ft if the width of the yard is 4 ft less than the length, what is the perimeter in ft of the yard?

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. 




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


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

An architect plans to make a drawing of the room of a house. The segment LM represents the ceiling of the room. He wants to construct a line passing through Q and perpendicular to side LM to represent a wall of the room. He uses a straightedge and compass to complete some steps of the construction as shown..

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.

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


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

Which of the following are necessary when proving that opposite sides of a parallelogram are congruent?. A) corresponding parts of similar triangles are similar. B) alternate interior angles are congruent. C) alternate interior angles are supplementary. D) corresponding parts of congruent triangles are congruent

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

Which of these sentences is always true for a parallelogram? A. All sides are congruent.. . . B.All angles are congruent.. . . C.The diagonals are congruent.. . . D.Opposite angles are congruent. .

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

Find cot θ if csc θ = square root of seventeen divided by four and tan θ > 0

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.

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


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

Solve the following system of equations. Express your answer as an ordered pair in the format (a,b), with no spaces between the numbers or symbols.. . 1.2x+7y=4. 2..-4x-3y=14. .

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)

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


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

Dylan is 9 years older than Parry. Together their ages sum to 65 years. How old is Parry? a. 28 b. 37 c. 56 d. 45

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 =  \frac{56}{2} = 28 years.

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


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

Ruby red paint costs $0.50 per square inch. A ball is painted ruby red and costs $100.00 to paint. What is the diameter of the ball? Round to the nearest tenth of an inch.. A.4.0 in.. B.5.6 in.. C.8.0 in.. D.16.0 in.

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 4\pi r^{2}, $100 were used. 4\pi r^{2} 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.

4\pi r^{2} \times0.5=100

2\pi r^{2}=100

r^{2}= \frac{100}{2\pi }

r^{2}=15.923 ; r=3.99 inch

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

Hence, the diameter will be = 2\times4=8 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

Renee can sew a 25-square-foot quilt in 16 hours. Genera can sew the same size quilt in 12 hours. How long would it take them to sew the quilt working together?

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: 

 \frac{1}{16} + \frac{1}{12} = \frac{1}{x}

Then x = 6 6/7 hours. 

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


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

A right rectangular prism has base dimensions of 3 inches by 12 inches and a height of 5 inches. An oblique rectangular prism has base dimensions of 4 inches by 9 inches and a height of 5 inches. Are the volumes the same?. A.. Yes, because the heights are equal and the cross-sectional areas at every level parallel to the bases are also equal.. B.. Yes, because the figures are congruent.. C.. No, because the cross-sectional areas are not the same.. D.. No, because only the bases have the same area, not every cross section at every level parallel to the bases.. .

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

What is the greatest possible integer value of x for which square root of √x-5 is an imaginary number

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 

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


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

Dylan is 9 years older than Parry. Together their ages sum to 65 years. How old is Parry? a. 28 b. 37 c. 56 d. 45

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!

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


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

If the altitude of an equilateral triangle is 10, what is the length of each side?

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. 

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


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

Find the domain of f(x) = the square root of square of the quantity x plus 2.

What are the answer choices?

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


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

Sonia rolls a six sided number cube 12 times and records of she rolls a 2. What is the number of trials for this binomial experiment?

Answer:

12

Step-by-step explanation:

Binomial expression: P(X=r) =^nC_r p^r q^{n-r}

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

The tables represent two linear functions in a system table one x -6, -3, 0, 3 y= -22, -10, 2, 14 table 2 x = -6, -3, 0, 3 y= -30, -21, -12, -3 what is the solution to this system? a) [-13/3 , -25] b) [-14/3, -54] c) (-13, 50) d) (-14, 54)

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

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


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

Show and explain the theoretical probability of a player WINNING your probability game. for a spinner that has 8 sides (1-8) rules for the game so u know how to answer my question : Using a spinner and a coin. 2 players can play this game. So, the first person can spin the spinner and see where it lands on. The second person can start flipping the coin while the spinner is spinning, also see what sides it could land on ( HEADS or TAILS ). If the coin lands on heads, player 1 has a chance to gain or lose points in the round. If the coin lands on tails, player 2 has a chance. The player in focus then has 2 choices; they can flip the coin a second time or spin the spinner a second time. If they choose to flip a coin, they have to predict whether they think the coin will land on heads or tails. If they are correct, they gain the number of points showing on the spinner. If they are wrong, they lose that number of points. If they choose to re-spin the spinner, their goal is to beat the score of the first spin. If they do, they gain the difference in the points (for example: spin 1 lands on 2, spin 2 lands on 5; 5-2 = 3 points). If they spin a lower number, they lose the difference in points (example: spin 1 gets a 3, spin 2 gets a 1; 3-1 = 2 points lost) *If the spinner happens to land on the exact same number, the opponent gets 5 points. The first player to earn 40-points wins! BEST OF LUCK and have FUN !!! ^_~ !!!

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

The base of a triangle is decreasing at the rate of 1 ft/sec, while the height is increasing at the rate of 2 ft/sec. At what rate is the area of the triangle changing when the base is 10 ft and the height is 70 ft? Remember to use the product rule when you find the expression for dA, dt.

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

Which best describes the dimensions of a plane a.A plane has zero dimensions because it represents a location on the coordinate plane. b.A plane has one dimension because it is made up of an infinite number of points. c.A plane has two dimensions because it is a flat surface that has length and width but no depth. d.A plane has three dimensions because it is made up of exactly three noncollinear points.

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.

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


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

Divide 28 in a ratio of 3:4

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

Which are the possible side lengths of a triangle a. 3 cm, 5 cm, 9 cm b. 4 cm, 8 cm, 10 cm c. 6 cm, 9 cm, 17 cm d. 8 cm, 10 cm, 18 cm

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).

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


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

Determine the direction in which the parabola opens, and the vertex. y =x2 + 6x + 14

A parabola can be written in the form  y = ax^{2}   +  bx  +  c.  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).

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


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

The figure shows an aerial view of a playground. If David runs around the field three times, he covers a distance of_____yards.

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

The length of the arch is given by:

 s = r * \alpha

Where,

r: radius of the circle

alpha: central angle in radians

We have then:

 s = 35 * (\frac{280}{180}) * \pi\\s = 171 yards

Then, the perimeter of the figure is:

 P = 3 * (171 + 45)\\P = 648 yards

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