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

Someone help me with what p and q equals?

Answers

q = 6 and p = 5

It’s a parallelogram so the side opposite are the same.

6 = q - 3
Subtract 3 and add it to 6 and you get 9
9=q

I am working of Circumference of circles rn and How do u find the Circumference of a circle if there is no circumference?

Answers

Hi, I’d need to see the specific question.
circumference=pie x diameter

Step-by-step explanation:

you need either:

the diameter- the distance from one side to the other, or

the Radius- the distance from the center to the edge

the diameter is always double the radius, and accordingly the radius is always half the diameter.

so, the circumference ca be figured out by multiplying the diameter times pi- which, for most calculations is 3.14

if you only have the radius, multiply that by 2 to get the diameter, then by 3.14.

hope that helps!

Which equation is graphed here?
A) y=3
B) x=3
C) y+1=3
D) x-1=3

Answers

the answer is A. y=3

Madeline needs to find the slope of the line that passes through the points (9, 12) and (7,4) she sets up the following work​

Answers

Answer:

         4

Step-by-step explanation:

The slope of the line passing through two given points:  [tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

(9, 12)   ⇒   x₁ = 9,  y₁ = 12

(7, 4)   ⇒     x₂ = 7,  y₂ = 4

So, the slope:

                     [tex]m=\dfrac{4-12}{7-9}=\dfrac{-8}{-2}=4[/tex]

f varies inversely as the square of d. When d=2, f = 6. Find d when f is 1.5

Answers

Answer:

d = 4

Step-by-step explanation:

Given f varies inversely as d² then the equation relating them is

f = [tex]\frac{k}{d^2}[/tex] ← k is the constant of variation

To find k use the condition when d = 2, f = 6 , then

6 = [tex]\frac{k}{2^2}[/tex] = [tex]\frac{k}{4}[/tex] ( multiply both sides by 4 )

24 = k

f = [tex]\frac{24}{d^2}[/tex] ← equation of variation

When f = 1.5 , then

1.5 = [tex]\frac{24}{d^2}[/tex] ( multiply both sides by d² )

1.5d² = 24 ( divide both sides by 1.5 )

d² = 16 ( take the square root of both sides )

d = [tex]\sqrt{16}[/tex] = 4

plssssssssssssssssssssssssssss

Answers

Answer:

D) 2275

Step-by-step explanation:

The answer is D)2275

A 12-ounce box of cereal costs $3.60. Which equation correctly relates the price (p) with the weight (w) of the cereal?

Answers

Answer:

A. P = 3.3w

Step-by-step explanation:

A. P = 3.3w

B. P = 0.3w

C. P = 3.6w

D. P = 12w

P = price of the cereal

w = weight of the cereal

p = $3.60

w = 12-ounce

3.60p = 12w

Divide both sides by 3.60

3.60p / 3.60 = 12w / 3.60

P = 3.3w

The correct answer is A. P = 3.3w

Orlando tiene como tarea obtener el resultado correcto de la operación 14 + 5 – 6 x 2 ¿Hallará el resultado correcto efectuando (14 + 5) – (6 x 2) o (14 + 5 – 6) x 2?.

Answers

Responder:

(14 + 5) - (6 x 2)

Explicación paso a paso:

Para la operación dada:

14 + 5-6 x 2

Siguiendo la prioridad de operación matemática BODMAS.

Multiplicamos antes de realizar la suma:

-6 * 2 = 12

Ahora;

14 + 5 - 12

19 - 12 = 7

Por tanto, comprobamos cuál de las opciones nos da 7

(14 + 5-6) x 2

13 * 2 = 26

(14 + 5) - (6 x 2)

19 - 12 = 7

Por lo tanto, esto (14 + 5) - (6 x 2) da el resultado correcto

PLEASEEEE SOMEONE HELP ME WITH THIS ITS DUE IN A COUPLE HOURS!!!!! FOR trigonometry

Answers

Answer:

I think the last one is the answer

hey could somebody help me please :)

Answers

Answer:

Cut them in smaller shapes then find area

Step-by-step explanation:

Last year Rikki sang 960 songs with his rock band. How many songs did he sing per month? How did you get your answer?

Answers

If he sang the same number of songs each month, he sang 80 songs per month.

960/12 (months) = 80 (songs per month)

Determine the follwoing quadratic equation:
0 = -3x2 + 17x – 10

What is the value of "B"?
A) -10
B)10
C)-17
D)17

Answers

Answer:

sorry but the epuation is in,but I will try

Step-by-step explanation:

0 = -3×2+17x-10

0= -6+17x-10

0+6+10=17x

16=17x

x=17/16

The answer to 0=-3x2+17x-10 is
C)-17

please answer 1-8 godbless​

Answers

Answer:

1. A

2. D

3. B

4. B

5-6. B

7. D

8. D

10/√149
PLZ HELP IVE BEEN STUCK ON THIS PROBLEM FOR AGES
!!!!!FRACTION FORM NEEDED, NOT DECIMAL FORM!!!!!!

Answers

/frac{10 }{ \sqrt{149} } = \frac{10}{12.20} = 0.8192

first of all find the square root of 149 and 10 is divided by 12.20which is the square root of 149 and you get your answer.The fraction form is 512/625

Answer:

Step-by-step explanation:

[tex]\sqrt{149}\text{ is irrational. Though it is customary to rationalize the denominator.}\\ \\ \left(\frac{10}{\sqrt{149}}\right)\frac{\sqrt{149}}{\sqrt{149}}\\ \\ \frac{10\sqrt{149}}{149}[/tex]

i really need help on this question!!!!

Answers

Answer:

B. Point M

Step-by-step explanation:

Point N (-4, 2) is 4 units away from the y axis, going left

Point M (-4, -2) is also 4 units away from the y axis, going left

Evaluate: 5^-2 plsssss

Answers

Answer:

0.05

Step-by-step explanation:

5^-2 =

Move the decimal two spaces to the right and you get,

0.05

Hope that helps!

Answer:

the exact form is 1/25 and the decimal form is 0.04 hope dis help

Step-by-step explanation:

What is the area of this composite figure??

Answers

Answer=53

Step-by-step explanation:

A pack of 8 batteries costs £4.99.
How much does each battery cost?
Give your answer to the nearest penny.

Answers

Answer:

0.62

Step-by-step explanation:

4.99/8=0.62

can someone help me with this tooo !

Answers

Im pretty sure its B if not im sorry :(

Solve this question :​

Answers

9514 1404 393

Explanation:

For proofs of this nature, it often works well to replace everything possible with appropriate equivalents. Here, we'll use sin² to represent sin²(A), and equivalent notation for other trig functions.

We will change the left side to the form of the right side.

  [tex]\displaystyle \frac{\tan^2-\cot^2}{1+\cot^2}=\frac{\sin^2-\cos^2}{\cos^2}\\\\=\frac{(\sec^2-1)-(\csc^2-1)}{\csc^2}\\\\=(\sin^2)(\sec^2-\csc^2)\\\\=\frac{\sin^2}{\cos^2}-1=\frac{\sin^2-\cos^2}{\cos^2}\qquad\text{Q.E.D.}[/tex]

__

The equivalents (identities) used are ...

  1+tan² = sec²

  1+cot² = csc²

  1/csc = sin

  sec = 1/cos

Please help I don’t understand

Answers

Answer:

45

Step-by-step explanation:

Answer:

the answer would be 45 degrees

Step-by-step explanation:

this is because when you look at the rectangle all for interior angles ar e90 degrees each and the line cuts perfectly from one side to the other forming two right triangles. in a right triangle the two acute angles equal 45 degrees each.

Omg Pls help

Which figure is similar to the shaded one

Answers

Answer:

the answer should be A

Step-by-step explanation:

hope it helps, have a good day :)

A is similar to the shaded shape

Mary, Josephine, Quinn, Taylor, Max, and Taylor went out to lunch and the total bill was $72. Mary puts in $20 , and Josephine puts in $12. The rest of the group splits the bill equally. Which equation and solution represent the amount a that each of the remaining people pay?

Answers

Answer:

i. The equation required = [tex]\frac{remaining amount of the bill}{remaining number of people}[/tex]

ii. Remaining people would pay $10 each.

Step-by-step explanation:

Total number of people involved = 6

Total bill of their lunch = $72

Mary and Josephine paid = $20 + $12

                              = $32

The remaining bill to be paid = $72 - $32

                              = $40

The rest of the group = 4

Splitting the remaining bill equally,

the equation required = [tex]\frac{remaining amount of the bill}{remaining number of people}[/tex]

                                     =  ($40) ÷ 4

                                     = $[tex]\frac{40}{4}[/tex]

                                    = $10

The amount that each of the remaining people would pay is $10.

Find the gradient of the line segment between the points (4,3) and (5,6​

Answers

Answer:

3

Step-by-step explanation:

us the formula

y1 - y2 divided by x1 - x2

=gradient

6 - 3 divided by 5 - 4 = gradient

3 = gradient

hope this helps

please mark it brainliest

someone pls help! mathematics.

bot answers/nonsense = reported
----------------

The formula for any geometric sequence is an = a1 · rn - 1 , where an represents the value of the n th term, a1 represents the value of the first term, r represents the common ratio, and n represents the term number. What is the formula for the geometric sequence 4, 8, 16, 32, ...?

an = 4 · ( ) n - 1
an = 2 · 4 n - 1
an = 32 · 2 n - 1
an = 4 · 2 n - 1

Answers

Answer:

a(n) = 4*(2)^(n - 1)

Step-by-step explanation:

The correct version of this formula is a(n) = a(1)*r^(n - 1).  Must use the " ^ " symbol to indicate exponentiation, and enclose the "n - 1" inside parentheses.

Here, if 4, 8, 16, 32, ..., then a(1) = 4 and r = 2 (e. g., 16/8 = 2, 32/2 = 16, and so on).

Then the correct formula for this geometric sequence is

a(n) = 4*(2)^(n - 1), where use of the parentheses as indicated is mandatory.

Answer:

a(n) = 4*(2)^(n - 1)

Step-by-step explanation:

The correct version of this formula is a(n) = a(1)*r^(n - 1).  Must use the " ^ " symbol to indicate exponentiation, and enclose the "n - 1" inside parentheses.

Here, if 4, 8, 16, 32, ..., then a(1) = 4 and r = 2 (e. g., 16/8 = 2, 32/2 = 16, and so on).

Then the correct formula for this geometric sequence is

a(n) = 4*(2)^(n - 1), where use of the parentheses as indicated is mandatory.

Solve these equations.

|x+8|=x+8

PLS, I NEED HELP NOW!!!

Answers

Answer:

x = -8

Step-by-step explanation:

WORTH 24 POINTS PLS HELP

On the blueprints for a new house, a wall measures 3.5 inches. If the map scale is 1.25 inches to 2 feet, how long will the actual wall be?

Answers

Answer:A unit rate is a comparison of two measurements, one of which has a value of ... The unit scale on a map may read \begin{align*}\frac{1}{2}\ inch=100 ... A line 4 inches long would represent an actual line of 800 feet. Unit scales and proportions can be used to calculate actual distances from maps, drawings, ...

Step-by-step explanation:

In 6 months, the membership of the fitness company went from 3500 to 4200. What was the percent of increase in the membership

Answers

Answer:

20% increased

Step-by-step explanation:

Experts believe that 70% of adults in the United States believe it is more enjoyable to be married than single. An ABC News Poll in 2004 surveyed 1,501 randomly selected adults in the United States and asked if they believed it is more enjoyable to be married or single. In the survey, 1,126 people responded that it is more enjoyable to be married. Suppose another 1051 random selected U.S. adults were surveyed and asked if they believed it is more enjoyable to be married or single. The sample proportion who respond that it is more enjoyable to be married from this new sample would most likely be different from the same sample proportion from the old sample due to ___________________.

Answers

Answer:

Due to;

Sampling variability

Step-by-step explanation:

From the question, we have;

The percentage adults experts believe are convinced that it is more enjoyable to be married than single = 70%

The number of adults in the sample of the survey = 1,501 adults

The number of adults that responded that it is more enjoyable to be married than single = 1,126

According to the central limit theorem, the differences in the two samples and the small sizes of the samples compared to the population, the sample means is different from the population mean, therefore, the sample proportion that respond that it is more enjoyable to be married from the new sample will be different from the old sample due sampling variability because as the sample size is so small compared to the population, some samples can contain more of one category in the population than other samples leading to varying proportion

2. Find the volume of a rectangular prism with a length of 2.4 ft, a height of 4.5 ft, and a width of 1.3 ft.

Answers

You have to multiply all 3 so I believe it’s 14.04 I hope it’s correct!

Answer:

14.04      

Step-by-step explanation:                                                                                                       :)

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