5. Two vertices of a rectangle are (8,-5) and (8,7). If the area of the rectangle is 72 square units, name the possible location of the other two vertices. 6. A triangle with two vertices located at (5,-8) and (5, 4) has an area of 48 square units Determine one possible​

Answers

Answer 1

Answer:

#5

Given vertices:

(8, -5) and (8, 7)

These have same x-coordinate, so when connected form a vertical segment.

The length of the segment is:

7 - (-5) = 12 units

The area of the rectangle is 72 square units, so the horizontal segment has the length of:

72/12 = 6 units

Possible location of the remaining vertices (to the left from the given):

(8 - 6, -5) = (2, -5)

and

(8 - 6, 7) = (2, 7)#6

Similarly to previous exercise:

(5, -8) and (5, 4) given with the area of 48 square units

The distance between the given vertices:

4 - (-8) = 12 units

The other side length is:

48/12 = 4 units

Possible location of the other vertices (to the right from the given):

(5 + 4, -8) = (9, -8)

and

(5 + 4, 4) = (9, 4)

Related Questions

You have the following coins in your pocket: 5 quarters, 6 dimes, 2 nickels, and 12 pennies. What is the probability you will draw a dime and then a
penny?

Answers

5 quarters is 125 cents 6 dimes is 60 cents 2 Nickels are 10 cents and 12 pennies are 12 cents all that in total is 207

Probability is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

The probability of drawing a dime and then a penny is 9/50.

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

Number of coins = 6 dimes + 2 nickels + 12 pennies = 20

Number of dims = 6

Number of nickels = 2

Number of pennies = 12

The probability of drawing a dime.

= 6/20

= 3/10

The probability of drawing a penny.

= 12/20

= 6/10

= 3/5

Now,

The probability of drawing a dime and then a penny.

= 3/10 x 3/5

= 9/50

Thus,

The probability of drawing a dime and then a penny is 9/50.

Learn more about probability here:

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A shirt cost $21 last month. This month the price decreased by 30%. What is the new price?
ASAP HELP

Answers

Answer:

Step-by-step explanation:

21x.30=6.3

21-6.3= 14.7

If  shirt cost $21 last month and the price decreased by 30% then the new price is $14.7.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given that a  shirt cost is $21 last month.

The  price decreased by 30% in this month.

We have to find the new price.

To find this we have to find 30 percentage of 21.

Convert 30 % to decimal value by dividing with 100 and then multiply the decimal value with $21.

30/100× 21

0.3×21

$6.3

So the amount decreased is $6.3

The new price we get by subtraction $6.3 from $21.

21-6.3

New price = $14.7

Hence, if  shirt cost $21 last month and the price decreased by 30% then the new price is $14.7.

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ILL BRAINLIEST YOU IF YOU PLEASE HELP ME

Answers

Answer:

BC ≈ 20.9

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

BC² + AC² = AB²

BC² + 7² = 22²

BC² + 49 = 484 ( subtract 49 from both sides )

BC² = 435 ( take the square root of both sides )

BC = [tex]\sqrt{435}[/tex] ≈ 20.9 ( to the nearest tenth )

A right cone has a surface area of 440 square inches and a radius of 7 inches. Find its slant height.

Answers

Answer:

Surface Area of right cone  

               =[tex]\pi r(r+\sqrt{h^2 + r^2}[/tex]

[tex]440 = \pi *7*(7+\sqrt{h^2+7^2})\\\\440 = 7\pi (7 + \sqrt{h^2+7^2})\\\\\frac{440}{7\pi } = 7 + \sqrt{h^2+49}\\\\\frac{440}{7\pi } - 7 = \sqrt{h^2+49}\\\\\frac{440-49\pi}{7\pi} =\sqrt{h^2+49}\\\\[/tex]

[tex]\frac{286.062}{21.99} =\sqrt{h^2+49}\\\\13.0087= \sqrt{h^2+49}\\\\(13.0087)^2 = (\sqrt{h^2+49})^2\\\\169.227 = h^2 +49\\\\169.227 - 49 =h^2\\\\120.227 = h^2\\\\h = \sqrt{120.227} = 10.96in[/tex]

A table of values of a linear function is shown below. Find the output when the input is . Type your answer in the space provided.

Answers

The input is 5. The output is 14. The output is going up by twos,

please helppp mee!!!
explain how you know!

Answers

Answer:

Yes It will still be balanced.

Step-by-step Explanation:

Since the object is basically being cut in half, as long as the weight is still the same on each side, the balance should still be the same.

Yes it’s balanced! :)

Hey guys do any of you guys know the answer to this? I’m struggling with it and I still don’t know the answer plz help me! Thanks!

Answers

Answer:

steps below

Step-by-step explanation:

DE/WX = 15/35 = 3/7

DF/WY = 24/56 = 3/7

EF/XY = 18/42 = 3/7

ΔDEF similar to ΔWXY   (sss) : 3 corresponding sides are in the same ratio


Plot v6 on the number line

Answers

click reset and place the dot at 2.4

PLEASE HELP! EASY POINTS

Answers

Answer:

70 minutes

Step-by-step explanation:

you cut both of their times in half and add them together.

Select the correct answer.
Use a graphing tool to solve the equation for x.
-4x - 1 = 5x + 4
A.
X-0.25
B.
X=-1.50
C.
X-1.25
D. X=-1

Answers

The equation -4x + 1 = 5x + 4 can be used to form a system of linear equations

The solution of x is x = -0.33

How to determine the solution?

The equation is given as:

-4x + 1 = 5x + 4

Split the equation into a system of equations

y =-4x + 1

y = 5x + 4

Next, we plot the graph of both equations

From the graph (see attachment), we have the solution to be:

(x,y) = (-0.33, 2.33)

Remove the y value

x = -0.33

Hence, the solution of x is x = -0.33

Read more about linear equations at:

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The trapezoid shown above has an area of 21.66 square inches.

What is the total area of the shaded sections of the trapezoid?

A. 2.09 square inches
B. 4.18 square inches
C. 4.86 square inches
D. 8.74 square inches

Answers

Answer:

2.09 for only one triangle.

4.18 for two triangles.

Step-by-step explanation:

Hope this helps good luck in math if you need to look up how to find the area of a triangle all you have to do is multiply the base times the height then divide it by two.

Have a great day!

Solve the following quadratic function
by utilizing the square root method.
Simplify your answer completely.
f(x) = 100 – 49x^2

Answers

Answer:

x = 10/7 or x = -10/7

Step-by-step explanation:

By using the completing the squares method, we have to divide the coefficient of the x term by 2, square it and add to both sides

From what we have here, the coefficient of the x term is 0

Thus, we have it that;

0 = 100 - 49x^2

We can proceed to use the difference of two squares here;

Whereby;

a^2 - b^2 = (a-b)(a + b)

0 = (10-7x)(10+7x)

10 - 7x = 0 or 10 + 7x = 0

7x = 10 or 7x = -10

x = 10/7 or x = -10/7

I Need help with this question

Answers

Answer:

600

Step-by-step explanation:

Answer:

80 sq ft

Step-by-step explanation:

this is a trapezoid and the formula for area is:

1/2 x height x (sum of the bases, which are parallel)

A = 1/2(10)(10+6)

= 5(16)

= 80 sq ft

Joanne and Roger are planting a rectangular garden. The garden is 7 ft by 13 ft. They want to use half of the garden for
tomatoes and half of the garden for cucumbers. They decide to separate the garden into two right triangles as shown. What is
the area of the cucumber part of the garden?

Answers

Answer:

45.5 ft^2

Step-by-step explanation:

The area of the garden is (7 ft) by (13 ft), which works out to 91 ft^2.

The half garden used for cucumbers is (91 ft^2)/2, or 45.5 ft^2.


The line of best fit for a graph is y = .76x +1.16
Based on the line of best fit, what could we expect to happen if x is 100

Answers

Answer:

77.16

Step-by-step explanation:

y = .76(100) + 1.16

y = 76 + 1.16

y = 77.16

Answer:

A line of best fit (or "trend" line) is a straight line that best represents the data ... 2. a combination of graphing calculator and ... Can we predict the number of total calories based upon the total fat grams? ... If you are looking for values that fall within the plotted values, you are interpolating. ... y = 11.73128088x + 193.852147

Step-by-step explanation:

info

Plz help meeee

y varies directly with x. If y = 15 when x = -18, find y when x = 1.6.

Answers

Answer:

-1.2

Step-by-step explanation:

I took the same direct variation test and got this one right

hope this helps!

Indicate in standard form the equation of the line through the given points, writing the answer in the equation box
below.
PO.-4). Q15, 1)

Answers

Answer:

y = x-4

Step-by-step explanation:

The standard form is;

y = mx + b

where m is the slope and b is the y-intercept

we have the two points as (0,-4) and (5,1)

so we find the slope using the slope formula;

m = (y2-y1)/(x2-x1)

m = (1 + 4)/(5-0) = 5/5 = 1

The y-intercept value is the value of y when x = 0

We already have a point (0,-4) and the equation would be:

y = 1(x) + (-4)

y = x-4

Eliza volunteers at a nearby aquarium
where she tracks the migratory patterns
of humpback whales from their feeding
grounds to their breeding grounds. She
recorded the distance traveled by the
whales each day for a 7-day period at
the start of their migration. Based on
Eliza's data, about how long will it take
the humpback whales to travel the
3,100 miles to their breeding grounds?

Answers

It is 3٫100 miles right

What is the gradient of the graph shown?
Give your answer in its simplest form.

Answers

Step-by-step explanation:

One sec I'll answer this right now

-2 Is the answer!!

Plss help!!!!! Ty!

What is the area of this semicircle?

Answers

Area of a circle is pi (r)^2
So area of semi circle is 1/2 pi (r)^2
Then area =32 pi or ~100.53

Answer:

[tex]{\small{\boxed{\sf{\red{here's \: your \: solution...}}}}} \\ \\{\small{\boxed{\sf{\purple{area \: of \: semicircle \: =\pi \: r {}^{2} { \div 2} {} }}}}} \\ \\ \\{\small{\boxed{\sf{\purple{radius = 8cm }}}}} \\ \\ \\{\small{\boxed{\sf{\purple{area \: of \: semicircle \: =(22/7 \times 64) \div 2}}}}} \\ \\ \\{\small{\boxed{\sf{\purple{area \: of \: semicircle \: =100.57 \: cm {}^{2} }}}}}[/tex]

[tex]\small\mathfrak\green{Hope \: it \: helps \: \: .......| }[/tex]

find the slope for me please (3, -5) (0, 0)

Answers

Answer:

-5/3 or

-1 2/3 or

-1.6666666666666666

Step-by-step explanation:

-5/3 or

-1 2/3 or

-1.6666666666666666

Answer:

the slope is 5/-3 , the way i did this is in the picture

(-5)+(-2)= porfa xdlo necesito rapido plox

Answers

Answer:

-7

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

You use your common sense

Help y’all

Find the measure of the missing arc KN labeled on the graph. Show all your work that leads the final answer. *

Answers

Answer:

DID YOU GET AN ANSWER???

Step-by-step explanation:

plz tell me what is was

Answer:

The answer is 201

Step-by-step explanation:

the equation used is (b-a)/2=?

To get the answer, we plug in the info we have which is

a=61

?=70

we use inverse operation to get b

(b-61)/2=70

b-61=140

b=201

Consider the following data set:
11, 8, 0, 8, 13, 3, 14
Find the median.

Answers

Answer:

The median is 8.

How you get that is that you have to order these from smallest to biggest.

0,3,8,8,11,13,14

Next, you cut one from each side until you get one single number left. If you get two, then you add them together and divide it by 2.

The median is 8! Do want them in order to?

Classify a triangle whose side lengths are 8, 16, and 18

A. Right Triangle

B. Acute Triangle

C. Obtuse Triangle

D. Isosceles Triangle

Answers

Answer:

Obtuse triangle

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. There are different types of triangles such as right angled, acute, obtuse and isosceles triangle.

In right angle triangle, one angle is 90°. The square of the longest side (hypotenuse) is equal to the sum of the square of the two sides.

An acute triangle is a triangle with acute angles (less than 90°). The square of the longest side is less than the sum of the square of the two sides.

An obtuse triangle is a triangle with one obtuse angle (greater than 90°) and two acute angles (less than 90°). The square of the longest side is larger than the sum of the square of the two sides.

An isosceles triangle is a triangle with two equal sides.

Given a triangle whose side lengths are 8, 16, and 18, the longest side is 18.

Since no two sides are the same hence it is not an isosceles triangle.

Also, 18² > 16² + 8²; therefore this is an obtuse triangle

What is the equation of a line that is parallel to 2x+3y=10 and passes through the point (-4,5)

Answers

Answer:

-4+2x-3

Step-by-step explanation:

(no links or files) Solve this equation using the quadratic formula.

Answers

Answer:

x = 1/2,-3

Step-by-step explanation:

I think the answer is x = 1/2, -3.

The circumference of a circle is double the perimeter of square having area 484 meter square . what is the area of the circle.​

Answers

Answer:

وتؤوثتيمسوثاسز لا لا لا وا

Answer:

616 sq. m

Step-by-step explanation:

The area of a square = 484

(Side)2 = 484  

side of a square = 22 m

According to the question,

circumference of a circle = perimeter of a square

2∏r = 4 × 22

r = 88 × 7/22 × 1/2  

r = 14 m

Area of a circle = ∏r2 = 22/7 × 142 = 616 sq. m

i really really need help

Answers

Answer:

which one

Step-by-step explanation:

which one

Betty wants to build a garden high enough so the rabbits don't eat her carrots. She has an estimated 150 cubic feet of dirt. If the dirt was spread evenly over a boxed-in-area with
dimensions 12 feet by 4 feet, about how high would the garden be?

Answers

Explain

12*6nss

Step by step solutions
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