Marcy’s breakfast table has a square table top with an area of 36 square feet. What is the approximate diagonal length of the table top? Round to the nearest tenth.

Answers

Answer 1

Answer:

8.5 ft = length of diagonal

Step-by-step explanation:

If A = 36 ft^2, then s (length of one side) = 6 ft.

The diagonal and any one side create a 45 degree angle.  

sin 45 degrees = (length of side opposite the 45 degree angle)/hypotenuse

                                                          6 ft            6√2 ft          

Then (length of hypotenuse) = ------------------ = ---------------

                                                      sin 45 deg            1

This works out to 8.5 ft = length of diagonal


Related Questions

What two numbers have a product of 144 and a sum of -24?

Answers

Answer:

-12, -12

Step-by-step explanation:

Both numbers are negative, they add to -24, 2 negatives make positive (-12 x -12 = 144)

Simplify: 18 + 8 + 2 (-5) -4

a. -10

b. -18

C. -81

d. -73

Answers

that would be d -73

Answer:

d

Step-by-step explanation:

Convert r= 2 / 7sinθ−cosθ to rectangular form.

Enter your answer in slope-intercept form by filling in the boxes. Enter values so that fractions are simplified.

Answers

The rectangular form of the given equation r= 2 / 7sinθ−cosθ which is in polar form is  7x - y = 2 and the slope-intercept form is y = 7x - 2

How to convert from polar form to rectangular form?

To convert from polar form to rectangular form we simply take the following steps:

x = rsinθy = rcosθ

What is slope-intercept form?

The slope-intercept form is,

y = mx +c

where m is the slope made and c is the intercept both made by the straight line.

In the given question let's first rearrange it,

r × (7sinθ − cosθ) = 2

Multiplying the term (7sinθ−cosθ) with r we get,

7rsinθ - rcosθ = 2

Now we will follow the steps discussed above which is we will put x and y respectively in place of rsinθ and rcosθ.

7x - y = 2

So, the slope-intercept form will be,

y = 7x - 2

Therefore, the rectangular form is 7x - y = 2 and the slope-intercept form is y = 7x - 2.

To know more about the polar form and how to convert it to rectangular form click here - brainly.com/question/27412064

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Let's simplify

Remember that rsinØ is x an rcosØ=y

r=2/7sinØ-cosØr(7sinØ-cosØ)=27rsinØ-rcosØ=27x-y=2

Rectangle form or slope intercept form

y=7x-2

Find the sale price to the nearest cent.
The sale price of a video game that has been
discounted 30% is $26.46. What was the original
price of the video game?

Answers

Answer:

$34.40

Step-by-step explanation:

26.46 ×30% = 7.94

26.46+7.94= 34.4

A triangle has sides with lengths of 9 meters, 40 meters, and 41 meters. Is it a right triangle?

Answers

Answer:

No its not a Right Triangle

7th grade math help me pleaseeee

Answers

Answer:

187 miles

Step-by-step explanation:

29 + .2x = 66.4

subtract 29

.2x = 37.4

divide by .2

x = 187

hellooo pls help!

what is 85 divided by 2!!

Answers

THE ANSWER IS 42.5




...

The result is 85 divided by 2 equals 42.5.

So, when we divide 85 by 2, the quotient is 42, and there is a remainder of 1.

To divide 85 by 2, we need to perform the division operation step by step.

Divide the first digit of the dividend (85) by the divisor (2). The first digit of the dividend is 8.

8 ÷ 2 = 4

Write down the result (4) as the first digit of the quotient.

Multiply the divisor (2) by the quotient digit (4) and subtract the result from the first two digits of the dividend (85).

The result is the remainder.

85 - (2 * 4) = 85 - 8 = 77

Bring down the next digit of the dividend (7) to the remainder (77) to form a new dividend (77).

Divide the first digit of the new dividend (77) by the divisor (2).

77 ÷ 2 = 38 with a remainder of 1

Write down the quotient digit (38) as the second digit of the quotient.

Since there are no more digits to bring down, the division process is complete.

Now, we have the quotient and the remainder:

85 ÷ 2 = 42 with a remainder of 1

i.e. 85 ÷ 2 = 42.5

So, when we divide 85 by 2, the quotient is 42, and there is a remainder of 1.

To learn more on division click:

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Solve the equation: 1/3 (x + 1) + 2x = 2

Answers

Answer: X= 5/7

Hope this helps!

Can’t figure this one out

Answers

Answer:

you'll have to subtract.

Step-by-step explanation:

9/4 -17/5

0 = x - 7x + 16
Help

Answers

X=-8/3 this is the answer
The answer is 2.667. 0=-6x+16 this implies that -16=6x so x is equal to 2.667

An Olympic

swimming pool

holds 660,000

gallons of water.

325,000 gallons

per second fall

from Victoria

.Falls

How many

seconds will it

take to fill up

an Olympic

pool with

Victoria Falls

How many seconds will it take to fill up an Olympic pool with Victoria Falls?

Answers

The volume of water pouring from Victoria Falls is enough to fill an Olympic swimming pool in around 2.03 seconds.

What is volume?

Volume, measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m³), a derived unit, is the SI unit of volume. Volume is another word for capacity.

To find out how many seconds it will take to fill up an Olympic swimming pool with the amount of water falling from Victoria Falls, we need to divide the total amount of water in the pool by the amount of water falling per second:

660,000 gallons ÷ 325,000 gallons/second ≈ 2.03 seconds

Therefore, it would take approximately 2.03 seconds to fill up an Olympic swimming pool with the amount of water falling from Victoria Falls.

Learn more about Volume here:

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somebody please solve this!!!​

Answers

Answer:

See below.

Step-by-step explanation:

We know that

                              tanA + tan B

tan (A + B)     =     ---------------------                       

                               1 - tanAtanB

Substituting for A + B

tan (A + B) = tan pi/4 = 1.

            tanA + tan B

So        ------------------   =    1

             1 - tanAtanB

Therefore   tanA + tan B =   1 - tanAtanB.

Help me please!!!...

Answers

Answer:

3rd choice, 3rd one down.

Explanation:

That is a pyramid, not a prism.

the third one i think

Write a new expression to represent the account balance, in dollars, if interest compounded quarterly.

Answers

Answer: A

Step-by-step explanation:

You already chose the answer lol

please help me. i’ll give you brainliest points

Answers

Answer:

i dont know

Step-by-step explanation:

Answer:

The answer would be P

which statement about the grapgh of line y=x+1/2 will be true if the 1/2 is replaced by -2

Answers

Answer:

Step-by-step explanation:

This linear graph will be shifted downward by 2 1/2 units:  first, from y = 1/2 to the x-axis, and next, from the x-axis by 2 more units, for a total shift of 2 1/2 units.

What percent of 80 is 32? Enter your answer in the box.

Answers

Answer: 40

Step-by-step explanation:

80 = 100%

40 = 50%

8 = 5%

5% x 4 = 20

8 x 4 = 32

32 = 20%

ASAP PLSSSS Read the paragraphs. How has Ruthie's point of view changed by the
end of the story?
kin' on
ton.m

Answers

Answer:

D

Step-by-step explanation:

cube root of 8p^6÷q^3​

Answers

Answer:

2p^2/q

Step-by-step explanation:

[tex]\sqrt[3]{\frac{8p^6}{q^3} } = \sqrt[3]{\frac{(2p^2)^3}{q^3} }[/tex]

please help i’ll mark brainliest

Answers

Answer:

6...................

A circle is centered at (0,0) and has a radius of square root 38.

Where does the point K(6, 1) lie?

Choose 1 answer:

a. Inside the circle

b. On the circle

c. Outside the circle


please answer fast first right answer will get the brainliest answers

Answers

Answer:

A

Step-by-step explanation:

HELPP MEEE 20 POINTS !!! NO BOTS OR I WILL REPORT !!!Which of the following equations describes the line shown below? Check all
that apply. (-1,8) (-3,-6)

Answers

The answer is A I believe.

Based on this picture below find the equation that matches

A. 9x=1

B.5x+6=1

C.6x+5=1

D.5x-6=1

Answers

The answer is B or it should be

I need to determine which ones are parallel, perpendicular, or neither.
Please help

Answers

Answer:

Parallel:

y=3x-7       y=-4x-1         y=1/3x +9     -9x+12y=24       y=x-3

y=3x+1       8x+2y=14     x-3y =3         y=3/4x -5          x-y=8

Perpendicular:

y=-2/5x +3       y=-1/4x        2x+7y=28      y=-5x+1        x+y=7     5x-10y=-20

y=2/5x +8        y=4x-5         7x-2y=4        x-5y=30         x-y=9     y=-2x+6

10x+8y=16

5y=4x-15

Neither:

3x+2y=8        4x+9=18        y=5/3x +7

2x+3y=-12      y=4x+9         6x-10y=10

Step-by-step explanation:

pls help me. will give brainliest if correct!!

Answers

The answer is 12.206556

ILL BRAINLIEST YOU IF YOU GET IT RIGHT

Answers

Answer:

b hope it helps make brainlliest ty

Answer:

X is 30. Y is 150.

Step-by-step explanation:

Hope this helps

Find the median of the data in the box plot below. dollars cost of each lunch for the month (in dollars) 4,,5,6,7,8,9,10

Answers

Answer:

7

Step-by-step explanation:

The median is the number in the middle of a data set.

For example, in this question 7 is in the middle of the data set, thus making it the median.

The shoes that Susan loves cost $70. She found out they were on sale for 15% off. How much will the shoes cost if she buys them on sale?

Answers

Answer:$59.50

Step-by-step explanation:

15/100*70= $10.50

$70 - $10.50= $59.50

Prove quadrilateral MATH, M (-4,-1) A(-3,2). T(3,0), H(2-3) is a rectangle

Answers

Answer:

Since MA ≠ TH, hence MATH is not a rectangle

Step-by-step explanation:

To prove that quadrilateral MATH, M (-4,-1) A(-3,2). T(3,0), H(2-3) is a rectangle, we need to get the length of each sides and show that MA =TH and MH = TA

For MA:

M (-4,-1) A(-3,2)

MA = √(2+1)²+(3+4)²

MA = √(3)²+(7)²

MA = √9+49

MA =√58

For TH:

T(3,0), H(2-3)

TH = √(-3-0)²+(2-3)²

TH = √(-3)²+(-1)²

TH = √9+1

TH =√10

For TH:

M(-4,-1), H(2-3)

MH = √(-3+1)²+(2+4)²

MH = √(-2)²+(6)²

MH = √4+36

MH =√40

For TA:

T(3,0), A(-3,2)

TA = √(2-0)²+(-3-3)²

TA = √(2)²+(-6)²

TA = √4+36

TA =√40

Since MA ≠ TH, hence MATH is not a rectangle

OMG, PLEASE JUST HELP, AND LOOK AT THE CHART BEFORE YOU ANSWER!!

Answers

Answer:

stop

Step-by-step explanation:

stop using this app, the chances of you actually getting a helpful response or even one at all are so slim, just pay an actual tutor at this point

Answer:

Step-by-step explanation:

A = 1,0

B = 0,-3

C = -6,5

D = -3,-5

E = -1, 4

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