HELP PLEASE AND NO LINKS!!!!!!

The length of a rectangle is twice its width. Given the length of the diagonal is $5\sqrt{5}$, find the area of the rectangle.

Answers

Answer 1

Answer:

Step-by-step explanation:

Width =x

Length = 2*x = 2x

Diagonal = 5√5

Use Pythagorean theorem

Length² + Width² = diagonal²

  (2x)²    + x²        = (5√5)²      

{[tex](5\sqrt{5})^{2}=5\sqrt{5} *5\sqrt{5}=5*5*\sqrt{5*5}=25*5=75[/tex]}

     4x²   + x²        = 75

                      5x² = 75

                        x²  = 75/5

                       x²   = 15

                        x = √15

Width = √15

Length = 2√15

Area of rectangle = length *width

                             = √15 *2√15

                             [tex]= 2* \sqrt{15*15}\\\\= 2*15\\= 30[/tex]

                             = 30 square units


Related Questions

Bliss is collecting money for a fundraiser. She starts with a $2 bronze star donation from her parents, then receives 3 equal silver star donations from her neighbors. If she ends with $18, how much money does she receive from a silver star donor?

Answers

Answer: $5.33

Step-by-step explanation:

Bliss was able to collect $18 in total.

Out of this total, she received a $2.00 bronze star donation and the rest were 3 Silver star donations.

This means that the 3 equal silver star donations added up to:

= 18 - 2

= $16.00

This means that each silver star donation was:

= Amount in total / Number of silver stars

= 16 / 3

= $5.33

Keisha bought 4 boxes of crayons for $0.78 each. How much will she pay for the 4 boxes of crayons?

Answers

Answer:

Keisha bought 4 boxes of crayons for $0.78 each. How much will she pay for the 4 boxes of crayons?

$3.12

What would be the measure of angle J?

Answers

Answer:

5q I would say

Step-by-step explanation:

As

3

x

q

=

5

q

, adding

=

q

on both sides, we get

3

x

q

+

q

=

5

q

+

q

or

3

x

=

6

q

, now multiplying both sides by

1

3

, we get

3

x

×

1

3

=

2

6

q

×

1

3

or

x

=

2

q

Use the Pythagorean Theorem, a2+b2=c2 to find the length of a triangle when b = 24 feet and c = 25 feet. Round your answer to the nearest whole number.
A. 7 ft
B. 8 ft
C. 49 ft
D. 576 ft

Answers

Answer:

7

Step-by-step explanation:

The answer would be A. 7 ft

The circumference of a circular garden is 122.46 feet. What is the diameter of the garden? Use 3.14 for pi and do not round your answer.Clude the correct unit in your answer.

Answers

Answer:

38.98

Step-by-step explanation:

d=c/pie

i dont know this is correct

| 1 point
Tonya is hiking up the Kern Canyon with her friends. They begin their hike at 150 feet below sea level and reach their destination which is
600 feet above sea level. What is the vertical distance between the two elevations?
-450 ft.
450 ft.
-750 ft.
750 ft.

Answers

Answer:

750 ft

Step-by-step explanation:

N bbcjfjruryetwrqrqufkblj

4) Twelve students came to class early. This is 40% of our class. How many students are
in our class?

Answers

There are 30 students in total

Maddy's fourth grade class is going on 5 field trips. Each has a fee of $12.10. Sack lunches for each trip are an additional $2.75. Round each amount to the nearest dollar to find an estimate for the cost of all 5 trips.

Answers

Answer:

12.10+2.75=

14.85x5=

74.25 or

75

Step-by-step explanation:

hope this helps

The answer to this question is 75

I NEED HELP PLS SOMEONE HELP ME!!!!

Answers

Answer:

126 centimeters squared

Step-by-step explanation:

i need to find what takes the question marks place. help please i have limited time. i’ll give good review.
(10x^2+10x^3-9x^4)-(4x^3+?-8x^2)=-19x^4+6x^3+18x^2

Answers

The answer is 10x^4 I think

5d=10d-20 please answer quickly

Answers

Answer:

D = 4

Step-by-step explanation:

None

Answer:

4

Step-by-step explanation:

Subtract 10d from both sides

5d-10d=-5d

-5d=-20

d=4

find the length of missing side x

Answers

B should be the answer for the triangle

Answer: x=24 the formula for hypotenuse is A^2 +b^2=c*2 but we have c^2 so to get a leg you do c^2- a leg and in this cas you get 24

Step-by-step explanation:

Suppose a student visited 81 websites while conducting research. If 9 of the websites were "us.gov" websites, what percentage of the websites visited were NOT "us.gov" websites? Round your answer to the nearest whole percent.

Answers

Answer:

9/81 or 1/9 = .1111111111R

Step-by-step explanation:

It is that because that is the decimal and 9 goes into 9 once and 9 goes into 81 nine times

A rectangle has an area of 16in^2 and a perimeter of 20 in. Find the dimension of the rectangle.

Answers

Answer:

8 in x 2 in

Step-by-step explanation:

8 x 2 = 16

8 + 8 + 2 + 2 = 20

Find the measure of GKH.

Answers

Answer:

50

Step-by-step explanation:

pls help im confused

Answers

Answer:

5 and 100

8 and 160

9 and 180

12 and 240

Step-by-step explanation:

Since for every one sweatshirt there is $20 collected. Simply plug this in and do the multiplication and division.

5x20 = 100

8x20 = 160

180/20 = 9

12x20 = 240

Answer:

3, 5, 8, 9, 12

60, 100, 160, 180, 240

Step-by-step explanation: the only values that you have full information for is the first column

3, 60

to get from 3 to 60 you would multiply by 20, so for the next column multiply 5 by 20 to get 100

then 8, 160

for the fourth column you would just divide 180 by 20, 9

and finally for the last column you would multiply 12 by 20 to get

240

PLEASE ANSWER THIS FOR MEEEEE

Answers

Answer:

23°

Step-by-step explanation:

sin ∠N= OP/NO= 19/49

⇒∠N ≈ 23°

Answer A and B. I will give a brainliest to the best answer.

It was a “scorcher.” The temperature was 102°F in the shade.
(a) The temperature was how many degrees above the
freezing point of water?
(b) The temperature was how many degrees below the
boiling point of water?

Answers

Answer:

a) 70 degrees

b) 110 degrees

Step-by-step explanation:

Freezing point of water is 32 degrees.

Boiling point of water is 212 degrees.

Hope this helped :)

What is the equation of the bold line on the coordinate grid?
A) x = 3
B) y = 3
C) y = 3x
D) x + y= 3

Answers

.....the answer is y=3

Perform the indicated operation.
[tex]x + 5 / 3[/tex] -[tex]X - 3 / 2​[/tex]

Answers

Answer:

[tex]x + \frac{5}{3}-x - \frac{3}{2} = \frac{1}{6}[/tex]

Step-by-step explanation:

Given

[tex]x + \frac{5}{3}-x - \frac{3}{2}[/tex]

Required

Solve

[tex]x + \frac{5}{3}-x - \frac{3}{2}[/tex]

Collect like terms

[tex]x + \frac{5}{3}-x - \frac{3}{2} = x -x+ \frac{5}{3} - \frac{3}{2}[/tex]

[tex]x + \frac{5}{3}-x - \frac{3}{2} = \frac{5}{3} - \frac{3}{2}[/tex]

Take LCM

[tex]x + \frac{5}{3}-x - \frac{3}{2} = \frac{10 -9}{6}[/tex]

[tex]x + \frac{5}{3}-x - \frac{3}{2} = \frac{1}{6}[/tex]

find the surface area of a cylinder with a base diameter of 4 yd and a height of 4 yd . write your answer in terms of π , and be sure to include the correct unit. How do I solve this?​

Answers

Answer:

Surface area of cylinder = 24π

Step-by-step explanation:

Given:

Base diameter = 4 yd

So Radius = 4 / 2 = 2 yd

Height = 4 yd

Find:

Surface area of cylinder

Computation:

Surface area of cylinder = 2πr(h+r)

Surface area of cylinder = 2π(2)(4+2)

Surface area of cylinder = 2π(2)(6)

Surface area of cylinder = 24π

One side of a tabletop is 12x – 5 units long. Another side of the tabletop is 7x + 4 units long. If the tabletop is a square, what is the value of x?

Answers

Answer:

Step-by-step explanation:

All the sides of a square are equal, so:

12x - 5 = 7x + 4

12x - 7x = 4 + 5

5x = 9

x = 9/5

find the value of given expression

[tex] \sqrt{40000} [/tex]

Answers

Answer:

200

Step-by-step explanation:

have a nice day or evening

Answer:

√40000=√(200)²=200 is your answer

Which dilation is shown by the graph?

Answers

Answer:

D. D₂ (∆XYZ)

Step-by-step explanation:

Dₙ = (x,y) → ((n)x, (n)y)

_________________

X = (-1, 2).

Y = (2, -1).

Z = (-2, -1).

_________

Dₙ ∆XYZ:

X(-1, 2) → X'(-2, 4)

Y(2, -1) → Y'(4, -2)

Z(-2, -1) → Z'(-4, -2)

______________

-2 / -1 = 2, 4 / 2 = 2.

4 / 2 = 2, -2 / -1 = 2.

-4 / -2 = 2, -2 / -1 = 2.

_______________

D₂ = (x,y) → ((2)x, (2)y).

X(-1, 2) → ((2)(-1), (2)(2)) = X'(-2, 4)

Y(2, -1) → ((2)(2), (2)(-1)) = Y'(4, -2)

Z(-2, -1) → ((2)(-2), (2)(-1)) = Z'(-4, -2)

_________________________

Jarod took a survey of the number of 6th grade students that played sports. Twenty students played tennis, eighty students played football, fifteen students played volleyball and ten students played golf? What percent of the students played volleyball or golf?

Answers

Answer:

8% played golf and 12% played volleyball

Step-by-step explanation:

add the total number of. student,  125, then write as fraction, 10/125 and 15/125, then convert to percentage

three odd consecutive integers are such that 3 times the smallest is 9 more than twice the largest .find the three numbers​

Answers

Answer: 17, 19, 21

Step-by-step explanation:

Three consecutive odd numbers: x, x+2, x+4 (since odd numbers occur every other number)

Just to show you that the numbers are x, x+2, and x+4, just say x is 13 then x+2 is 15 and x+4 is 17 (3 consecutive odd numbers)

Now the second equation:

3x = 2(x+4) + 9

three times smallest number (which is x) is equal to 2 times the largest number (x+4) plus 9

Now solve

3x = 2(x+4) +9

3x = 2x + 8 + 9

3x = 2x + 17

x = 17

x+2 = 19

x+3 = 21

What do you call a wasp?

Answers

Wasp, any member of a group of insects in the order Hymenoptera, suborder Apocrita, some of which are stinging. Wasps are distinguished from the ants and bees of Apocrita by various behavioral and physical characteristics, particularly their possession of a slender, smooth body and legs with relatively few hairs.

Wasp have a painful sting like bees but don’t produce honey

Lori has 79 stickers. This is three more
than twice as many as Beth has. How
many stickers does Beth have?

Answers

Answer:

38

Step-by-step explanation:

79-3=76

76 divided by 2 =38

The area of a rectangular dance floor is 8 1/4
square yards, and its width is 3 1/2 yards. What is the patio's length in yards
A 54
B 2
C 4:
D 5

Answers

Answer:

2 5/14 yards

Step-by-step explanation:

Area of the rectangular floor = Length * Width

Given

Area = 8 1/4 square yards

width = 3

1/2 yards

Required

Length

Length = Area/width

Length = (8 1/4)/(3 1/2)

Length = 33/4 ÷ 7/2

Length = 33/4 * 2/7

Length = 33/14

length = 2 5/14 yards

This gives the required length

A cone shaped party hat has a radius of 3 inches and a height of 6.5 inches. Find the number of cubic units that hat occupies?

Answers

Answer:

61.25

Step-by-step explanation:

The of cubic units which hat occupies having a radius of 3 inches and a height of 6.5 inches is 61.26 cubic inches.

What is of volume of cone?

Volume of cone is the amount of quantity, which is obtained it in the 3 dimensional space.

The volume of the cone can be given as,

[tex]V=\dfrac{1}{3}\pi r^2h[/tex]

Here, (r) is the radius of the base of the cone and (h) is the height of the cone.

A cone-shaped party hat has a radius of r=3 inches and a height of h=6.5 inches. The amount of cubic units it occupies is equal to the volume of hat.

Thus, put the values in the above formula as,

[tex]V=\dfrac{1}{3}\pi (3)^2(6.5)\\V=\dfrac{1}{3}\pi (3)^2(6.5)\\V=61.26\rm\; in^3[/tex]

Thus, the of cubic units which hat occupies having a radius of 3 inches and a height of 6.5 inches is 61.26 cubic inches.

Learn more about the volume of cone here;

https://brainly.com/question/26666727

#SPJ2

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