11. A rectangle has a diagonal of length 10 units and one side of length 6 units.
How many units long is the perimeter of the rectangle?

Answers

Answer 1
The perimeter would be 32 units

10 + 10 + 6 + 6 = 32
Answer 2

The required perimeter of the rectangle is 28 units.


What is a rectangle?

The rectangle is 4 sided geometric shape whose opposites are equal in lengths and all angles are about 90°.

Here,

Let's denote the length of the rectangle as L and the width as W. We know that the diagonal of the rectangle has a length of 10 units, and we can use the Pythagorean theorem to relate the length, width, and diagonal,
L² + W² = diagonal²  [= 10² = 100]

We also know that one side of the rectangle has a length of 6 units, which we can assume is the width W. Therefore, we can solve for the length L,
L² + 6² = 100

L² = 100 - 36

L² = 64

L = 8

So the length of the rectangle is 8 units.

To find the perimeter of the rectangle, we can use the formula P = 2L + 2W, where L is the length and W is the width:

P = 2(8) + 2(6)

P = 16 + 12

P = 28

Therefore, the perimeter of the rectangle is 28 units.

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Related Questions

Yo guys help pls.pls pls

Answers

Answer:

A rectangle is a parallelogram because parallelograms have to have exactly 2 pairs of parallel sides. A rectangle has 2 parallel sides, therefore it is considered a parallelogram.

Step-by-step explanation:

What is the square root of 49/900

Answers

0.00777777777 I think

The square root of 49/900 is 7/30 according to the given question, it can be done through simplification process.

To find the square root of 49/900, we can simplify the fraction first:

The square root of a number is a mathematical operation that determines a value which, when multiplied by itself, yields the original number. In simpler terms, the square root of a number "x" is the value "y" such that y multiplied by y equals x. The square root is denoted by the radical symbol (√).

49/900 = [tex](7^2)/(30^2)[/tex]

Taking the square root of the numerator and denominator separately, we get:

√ [tex](7^2) /[/tex]√([tex]30^2[/tex])

Simplifying further, we have:

7/30

Therefore, the square root of 49/900 is 7/30.

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What is the slope ?
15x-3y = 18

Answers

Answer:

5

Step-by-step explanation:

To find the slope, you need to solve for y

So subtract 15x from both sides

-3y=-15x+18

Divide by -3

y=5x-6

The slope is 5

Answer:

5

Step-by-step explanation:

Because I is smart

Lol, give other person brainliest, they deserve it

What is g(-3) for g(1) = (x + 7) + 2?

Answers

Answer:

x9

Step-by-step explanation:

i dunno if correct

Answer:

6

Step-by-step explanation:

Since you're given g(-3), set up the equation to look like this:

g(-3) = (x+7) + 2

Then plug in the g(x):

g(x) = (-3 + 7) + 2

Use PEMDAS to solve the equation:

g(x) = (-3 + 7) + 2

g(x) = (4) + 2

g(x) = 6

Benny plant grew 16.8 centimeters this year. The plant grew the same amount each month. How much did the plant grow each month?

Answers

Answer:

1.4 centimeters each month

Step-by-step explanation:

we know that there are 12 months in a year. if the plant grew 16.8 centimeters in one year, you would have to divide 16.8 by 12 so your equation would be:

16.8/12 = 1.4

What is the volume of this sphere
Use π=3.14 and round your answer to the nearest hundredth

Answers

The answer is 523.6 and all you have to do is round it to the nearest hundredth

The coordinate plane shown below shows the locations of the library and park in the town where Rasheed lives.
Which expression represents the distance from the library to the park as modeled on the coordinate grid?


A. 5 + 3


B. 5 + -3


C. 5 - -3


D. -5 - -3

Answers

Answer:

C

Step-by-step explanation:

Explain to me what cathyrn did wrong based of the line plot? I’ll mark brainliest if I have one

Answers

Answer:

Kathryn thinks that the 3 is the age and the 10 is how many are that age. 10 is thr age and the 3 "x's" are how many people are 10 years old.

Hope this helped!

Solve this equation 4n+3= 4n-2 by graphing

Answers

Answer:

no solution

Step-by-step explanation:

Graph each side of the equation. The solution is the x-value of the point of intersection.

What is the value of the fraction below?
21/0

A. Undefined
B.0

PLEASE HELP

Answers

The answer is undefined

Danielle sells 3 donuts for $9. Write an equation to represent the relationship between the number of donuts sold and the earning

Halp

Answers

3x=9. 3 represents the donuts she sold, x represents the cost of each donut and 9 is the total earning

A 7.0 kg textbook is placed in a shelf 1.5 m high. What is the potential energy relative to the floor?

Answers

Answer:

PE = 102.9 Joules

Step-by-step explanation:

PE = mgh

= (7.0 kg)(9.8 m/s^2)(1.5 m)

= 102.9 Joules

*EXTRA PTS* pls answer all 3 :)

Answers

Answer:

5, x = 0,  y = -2

6, x = 4,  Y = 9

7,  X = -2, Y = -2

Step-by-step explanation:

Find the DIAMETER if the circumference of a circle is 64.7

Answers

Answer:

20.6

Step-by-step explanation:

Sean pays £10 for 24 chocolate bars. He sells all 24 chocolate bars for 50p each.
Work out Sean's percentage profit.

Answers

Answer:

the percentage profit is 20%

Step-by-step explanation:

Given that

Sean paid  £10 for 24 chocolate bars

He sold all 24 chocolate bars for 50p each

we need to find out the percentage profit

Since he paid  £10 and sale value is (24 × 0.50) i.e. £12

So, the percentage profit is

= (£12 - £10) ÷ (£10)

= 20%

Hence, the percentage profit is 20%

A high school will only offer a pottery class next year if at least 15 students sign up. So far, 9
students have signed up for the pottery class.
Let x represent how many more students need to sign up. Which inequality describes the
problem?
9 + X > 15
9 + x 2 15
Solve the inequality. Then, complete the sentence to describe the solution.
At least
more students need to sign up.

Answers

9 + x > (equal to or greater than) 15
6 more students need to sign up because 15-9=6

9+x≥15 is the inequality describes the problem and 6 more students should be added to the pottery class.

What is Inequality?

a relationship between two expressions or values that are not equal to each other is called 'inequality.

Given that a high school will only offer a pottery class next year if at least 15 students sign up.

9 students have signed up for the pottery class.

Let x represent how many more students need to sign up.

9+x≥15

9+x≥15 is the inequality describes the problem.

Subtract 9 from both sides

x=15-9

x=6

So 6 more students should be added to the pottery class.

Hence, 9+x≥15 is the inequality describes the problem and 6 more students should be added to the pottery class.

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PLS I NEED HELP
Which angle pair relationship shows that two lines are parallel?

a. Two alternate interior angles are supplementary.
b. Two vertical angles are congruent.
c. Two corresponding angles are congruent.
d. Two adjacent angles are supplementary.

Answers

Answer:

The answer is C I know that is right

Given the function f(x)=2(3x+7)−4(x−2), what would be the value of input, x, if f(x)=18?

Answers

Answer: x=-2

Step-by-step explanation:

Given

f(x)=2(3x+7)-4(x-2)

f(x)=18

Use substitution method

2(3x+7)-4(x-2)=18

Expand parenthesis

6x+14-4x+8=18

Combine like terms

2x+22=18

Subtract 22 on both sides

2x+22-22=18-22

2x=-4

Divide 2 on both sides

2x/2=-4/2

x=-2

Hope this helps!! :)

Please let me know if you have any questions

Which expression is equivalent to 17s-10+3(2s+1)?
O 23s-9
O 23s-7
O 11s-7
O 11s-9

Answers

Answer:

23s-7

Step-by-step explanation:

17s-10+3(2s+1)

17s-10+6s+3

23s-7

To get from home to work, Felix can either take a bike path through the
rectangular park or ride his bike along two sides of the park.

How much farther would Felix travel by riding along two sides of the park
than he would by taking the path through the park?
F 1.7 mi
G 0.6 mi
H 2.5 mi
J 0.1 mi

Answers

Answer:

h its h :)

Step-by-step explanation:

i

a trader needs $300000 to improve her business, she deposits $110000 in her savings account at 5% per annum compound interest. she then adds $50000 to her savings at the end of each year find
(a) her total savings after 3 years.
(b)by how much is her savings greater or less than $300000 at the end of the third year​

Answers

interpret it that there are three payments of 50,000 aside from the current deposit of 110,000

amount after 3 years

= 110,000(1.05)^3 + 50,000( 1.05^3 - 1)/.05

Solve systems of linear equations by elimination.check your solution

Answers

Answer:

Explanation:

11.
x + y = 2 (1)
2x + 7y = 9 (2)
—————-—
-2(x + y = 2)
2x + 7y = 9
——————-
-2x - 2y = -4
2x + 7y = 9
——————-
5y = 5
y = 1

x + y = 2
x + 1 = 2
x = 1

12.
8x - 5y = 11
4x - 3y = 5
——————
8x - 5y = 11
-2(4x - 3y = 5)
———————-
8x - 5y = 11
-8x + 6y = -10
———————-
y = 1

4x - 3y = 5
4x - 3 = 5
4x = 8
x = 2

17.
9x + 2y = 39
6x + 13y = -9
———————
2(9x + 2y = 39)
-3(6x + 13y = -9)
—————————
18x + 4y = 78
-18x - 39y = 27
————————
-35y = 105
y = 105/-35
y = -3

9x + 2y = 39
9x -6 = 39
9x = 45
x = 45/9
x = 5

A 50 foot ladder is set against the side of a house so that it reaches up 30 feet. If
Alonso grabs the ladder at its base and pulls it 5 feet farther from the house, how far
up the side of the house will the ladder reach now? (The answer is not 25 ft.) Round
to the nearest tenth of a foot.

Answers

Answer:

21.8

Step-by-step explanation:

DO THIS
NO LINKS pls​

Answers

Answer:

1= 1/6, 2= 1/6, 3= 4/6

Step-by-step explanation:

'1' and '2' are equal and only take up 1/6 of the "circle" each, leaving '3' with 4/6 of it.

Therefore, '1' and '2' would be placed 1/6 along the line, and '3' would be placed 4/6 along the line.

Explain how you would find the length of one side off a square if the area is 16 square units please HELP

Answers

Answer:

area = length x width 4x4 = 16

side lengths are 4

Step-by-step explanation:

In the circle below, suppose m VUX = 152° and mZUVW = 77º. Find the following.
(a) m ZVUX =
(b) m ZUXW =

Answers

Given:

In the circle, [tex]m(\overarc{VUX})=152^\circ[/tex] and [tex]m(\angle MUV)=77^\circ[/tex].

To find:

The following measures:

(a) [tex]m\angle VUX[/tex]

(b) [tex]m\angle UXW[/tex]

Solution:

According to the central angle theorem, the central angle is always twice of the subtended angle intercepted on the same same arc.

[tex]m(VUX)=2\times m\angle VWX[/tex]

[tex]152^\circ=2\times m\angle VWX[/tex]

[tex]\dfrac{152^\circ}{2}=m\angle VWX[/tex]

[tex]76^\circ=m\angle VWX[/tex]

In a cyclic quadrilateral, the opposite angles are supplementary angles.

UVWX is a cyclic quadrilateral. So,

[tex]m\angle VUX+m\angle VWX=180^\circ[/tex]          [Opposite angles of a cyclic quadrilateral]

[tex]m\angle VUX+76^\circ=180^\circ[/tex]

[tex]m\angle VUX=180^\circ-76^\circ[/tex]

[tex]m\angle VUX=104^\circ[/tex]

Now,

[tex]m\angle UXW+m\angle UVW=180^\circ[/tex]          [Opposite angles of a cyclic quadrilateral]

[tex]m\angle UXW+77^\circ =180^\circ[/tex]

[tex]m\angle UXW=180^\circ-77^\circ[/tex]

[tex]m\angle UXW=103^\circ[/tex]

Therefore, [tex]m\angle VUX=104^\circ[/tex]  and [tex]m\angle UXW=103^\circ[/tex] .

make a conjecture as to what number comes is next
-15,-10,-4, 3, 11, ______

Answers

Given:

The sequence is:

-15,-10,-4, 3, 11, ______

To find:

The next number.

Solution:

We have,

-15,-10,-4, 3, 11, ______

Here, the difference between two consecutive terms are:

[tex]-10-(-15)=-10+15[/tex]

[tex]-10-(-15)=5[/tex]

Similarly,

[tex]-4-(-10)=6[/tex]

[tex]3-(-4)=7[/tex]

[tex]11-3=8[/tex]

It is clear that the difference difference between two consecutive terms is increasing by 1. So, the next difference must be (8+1)=9.

Let the next number be x. Then,

[tex]x-11=9[/tex]

[tex]x=9+11[/tex]

[tex]x=20[/tex]

Therefore, the next number of the sequence is 20.

BRAINLIEST TO CORRECT ANSWER! NO links as answers, or you will be reported! (question 12)

Answers

Answer:

Factor numerator and denominator

Step-by-step explanation:

the product of -5 and the number is 35 what is the number
a. 40
b. 30
c. -7
d. 7

Answers

Step-by-step explanation:

-5y=35

=35÷(-5)

= -7

=-5×-7

=35

Lisa's bedroom is 6 meter long and 4 meters wide how much carpet will Lisa need to cover the whole floor of her bedroom?

Answers

Answer:

24 m²

Step-by-step explanation:

Given that:

Dimension of bedroom = 6 meter by 4 meter

To obtain how much carpet Lisa would need to cover the floor of her bedroom, we calculate the area of the room.

From the dimension given, the area of the room can be obtained using the Area if a rectangle formular :

Area of room = Length * width

Area of room = 6m * 4m

Area of room = 24 m²

Carpet required is 24m² of carpet

Answer:

24m

Step-by-step explanation:

if you times 6 and 4 that equals 24 really easy problem.

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