A square has a diagonal with the length of 8V7 inches. What is the length of the
sides?

A Square Has A Diagonal With The Length Of 8V7 Inches. What Is The Length Of Thesides?

Answers

Answer 1

Answer:

approximately 13.9 inches

Step-by-step explanation:

That's 8√6, not 8V7.

The four sides are of the same length (x).  According to the Pythagorean Theorem, x² + x² = (diagonal length)² = (8√6)², or

2x² = 64(6) = 384

Dividing both sides by 2, we get:

x² = 192, or x² = 4(48).  Then the side length is x = √16√12, or

x = 4√4√3 = 8√3.  This is approximately 13.9 inches.


Related Questions

HELPP! E(f + g) =




Help

Answers

What! You need more information if you want people to help you.

Solve using substitution x=-6 6x+10y=14

Answers

Answer:

(-6 , 5)

Step-by-step explanation:

6x + 10y = 14

6(-6) + 10y = 14

-36 + 10y = 14

10y = 50

y = 5

1 2/5
rename the mixed number as an improper faction
a. 3/5
b, 12/5
c, 2/6
d, 7/5

Answers

Answer:

the answer is b

Step-by-step explanation:

i don't know I just do lol

This is due today please help.
What is the area of the shape.

Answer choices:
24 yd2
36 yd2
39 yd2
30 yd2

Answers

I got u
24+6=30
9-6=3
3x4=12/2=6
6x4=24

30 yd^2

Given that y varies inversely with x, if y=-5 when x=-6, find x when y=-2.5.

Answers

15

Explanation:

If y varies inversely as x, the two variables can be represented in an equation in the form

y

=

k

x

where

k

is some constant.

We are given that

y

=

5

when

x

=

6

. We can plug this into the above equation to find what

k

is:

5

=

k

6

30

=

k

Based on this we can create our equation:

y

=

30

x

And then find

x

when

y

=

2

:

2

=

30

x

2

x

=

30

x

=

15

GAHHHHHHHHHHHHHHHHHHHHHHHHH
HELP PLEASE

Answers

P.PENEEEEEEEE,TE GUSTAA∞[tex]\pi \sqrt{x} x^{2} \neq \alpha \sqrt[n]{x} \sqrt[n]{x}[/tex]

A single card is drawn from a standard 52 card deck.
Work out the probability of choosing the "5 of diamonds".
Give your answer

Answers

Answer:

1/52

Explanation:

Use the diagram to answer, given that line LM is a common tangent to circle P and circle Q. Leave answers in simplified radical when necessary. (Please let me know if the first blank is correct and answer the second one.)

Answers

Answer:

PL = 9

PN = 5√5

Step-by-step explanation:

8/12 = 6/PL

8PL = 72

PL = 9

PN² = 10² + 5² = 100 + 25 = 125

PN = √125 = 5√5

hi please help i’ll give brainliest thanks

Answers

Answer:

point A

Step-by-step explanation:

Hope this helps you dude.

What are the steps to solving this?

Answers

Answer:

m = 6[tex]\sqrt{3}[/tex] , n = 6

Step-by-step explanation:

Using the sine and cosine ratios in the right triangle and exact values

cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , sin30° = [tex]\frac{1}{2}[/tex] , then

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{m}{12}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2m = 12[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

m = 6[tex]\sqrt{3}[/tex]

and

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{n}{12}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2n = 12 ( divide both sides by 2 )

n = 6

I Need Help Only #8

Answers

Answer:

15

Step-by-step explanation:

............. ............. .............

If a fair coin is tossed 6 times, what is the probability, to the nearest
thousandth, of getting exactly o heads?

Answers

Answer:

0

Step-by-step explanation:

the probability of getting 0 heads is not possible as either 1 side has to be a head or a tail

It cannot be none

Therefore...Probability is 0 of getting 0 heads

plz mark as brainliest

thanks

two consecutive numbers if the smallest is 11

Answers

Let two consecutive numbers are : x,x+1

Sum of these numbers is -11, then

x+x+1=−11

⇒2x=−11−1=−12

⇒x=−6

and other consecutive number is x+1=−6+1=−5

The answer is -6 and −5

plz help with everything in the pic

Answers

HERE I TOOK PICTURES

i only understand number 11

What is the volume of this square pyramid?

Answers

Answer:

400m^3

Step-by-step explanation:

Answer: [tex]400m^{2}[/tex]

Step-by-step explanation:

In order to solve this square pyramid's volume, we use the formula:

V = 1/3(B)(h)

Now, we plug in what we know. Since it has a square base, the sides of the base are all the same:

1/3(10*10)(12)

Now we solve:

1/3(100)(12)

1/3(1200)

400

Maurice fills a ball in the shape of a sphere with air. The diameter of the ball when it is filled is 24 inches. How much air, in cubic inches, is in the ball when it is filled? Solve in terms of π like the example above.


PLEASE HELP ME

Answers

Answer:

2304pi inches³

Step-by-step explanation:

volume of ball = 4/3pi r³

=4/3 x pi x 12³=2304 pi inches³

Brenya Estate produces a high quality tea branded A, B and C in the ration 1.5: 5: 1. Originally Type A tea costs 1600, type B costs 800 and type C costs 1700 per kg to produce. Brenya Tea Estate packs Super tea in packets of 825g each. Blending and packing costs are 40 per kg. Determine the production cost for a packet of super tea

Answers

Answer:

The production cost for a packet of super tea is 924.

Step-by-step explanation:

The production cost of the Super tea is given as

[tex]Cost_{super\ tea}=Cost_{A}+Cost_{B}+Cost_{C}+Cost_{packaging\ and\ blending}[/tex]

Here the costs are given as following

[tex]Cost_A=\dfrac{Ratio\ of\ A}{Sum\ of \ ratios} \times Weight \times Cost\ of\ A\ per\ kg[/tex]

Here

Ratio of A is 1.5Sum of Ratios is 1.5+5+1=7.5Weight is 825 g or 0.825kgCost of A  per kg is 1600

So

[tex]Cost_A=\dfrac{Ratio\ of\ A}{Sum\ of \ ratios} \times Weight \times Cost\ of\ A\ per\ kg\\Cost_A=\dfrac{1.5}{7.5} \times 0.825 \times 1600\\Cost_A=264[/tex]

The cost of A is 264.

Similarly

[tex]Cost_B=\dfrac{Ratio\ of\ B}{Sum\ of \ ratios} \times Weight \times Cost\ of\ B\ per\ kg[/tex]

Here

Ratio of B is 5Sum of Ratios is 7.5Weight is 825 g or 0.825kgCost of B  per kg is 800

[tex]Cost_B=\dfrac{Ratio\ of\ B}{Sum\ of \ ratios} \times Weight \times Cost\ of\ B\ per\ kg\\Cost_B=\dfrac{5}{7.5} \times 0.825 \times 800\\Cost_B=440[/tex]

The cost of B is 440.

Also

[tex]Cost_C=\dfrac{Ratio\ of\ C}{Sum\ of \ ratios} \times Weight \times Cost\ of\ C\ per\ kg[/tex]

Here

Ratio of C is 1Sum of Ratios is 7.5Weight is 825 g or 0.825kgCost of C  per kg is 1700

[tex]Cost_C=\dfrac{Ratio\ of\ C}{Sum\ of \ ratios} \times Weight \times Cost\ of\ C\ per\ kg\\Cost_C=\dfrac{1}{7.5} \times 0.825 \times 1700\\Cost_C=187[/tex]

The cost of C is 187.

Now the packaging and blending cost for the given package is calculated as

[tex]Cost_{packaging\ and\ blending}=Weight*Cost_{packaging\ and\ blending\ per\ kg}[/tex]

Here

Weight is 825 g or 0.825kgCost of packaging and blending  per kg is 40

[tex]Cost_{packaging\ and\ blending}=Weight*Cost_{packaging\ and\ blending\ per\ kg}\\Cost_{packaging\ and\ blending}=0.825*40\\Cost_{packaging\ and\ blending}=33[/tex]

Cost of packaging and blending per packet is 33.

So now substituting values of costs in the following equation gives:

[tex]Cost_{super\ tea}=Cost_{A}+Cost_{B}+Cost_{C}+Cost_{packaging\ and\ blending}\\Cost_{super\ tea}=264+440+187+33\\Cost_{super\ tea}=924[/tex]

The production cost for a packet of super tea is 924.

Binaya spent 10 of his pocket money. He has Rs 120 left now. Find:
(1) How much money did he spend? (i) How much money did he have?​

Answers

Answer:

$10 and $130

Step-by-step explanation:

If he spent 10 of his pocket money, then he spent 10

Because he spent 10, that means that he had 120 + 10 = 130 at the start

WHAT IS THE MEDIAN I WILL GIVE BRAINIEST

Answers

Answer:

5 is the median

Step-by-step explanation:

By crossing out the points on each side one by one, you could find that 5 is the median.

I believe the answer would be 5 not a 100% sure though

Help fast as you can worth 7 points

Answers

Answer:

d

Step-by-step explanation:

Answer: B

Step-by-step explanation: you have to multiply the 4 and 2

pls help, The graph shown below shows the relationship between average heart rate (in beats per minute) of several
mammal species and their life expectancy (in years)

Answers

Answer:

The answer is Nonlinear Association

Hi There Answer Nonlinear Association

Step-by-step explanation:

Can someone please help me with this math problem:):)

Answers

Answer:

i dont understand

Step-by-step explanation:

 

A bag contains 18 balls. There are 6 red balls, 6 yellow balls, and 6 green balls. A ball is drawn at random and returned. Then another ball is drawn at random. Select ALL statements that are true.

A. The expected probability of drawing a green ball first is the same as the expected probability of drawing a green ball second.

B.There are six possible outcomes.

C.The probability of drawing a red ball first is the same as not drawing a red ball second.

D.The expected probability of drawing a red ball and then a yellow ball is 19.

Answers

Answer:

There are 18 balls in the bag:

6 are red

6 are yellow

6 are green.

A ball is drawn at random and then returned.

Then another ball is drawn.

Now, let's analyze each option and let's see if it is true or not.

A) The probability of drawing at random a green ball is equal to the quotient between the number of green balls and the total number of balls.

Then for the first draw, the probability is 6/18

Because the drawn ball is returned, for the second draw we still have 6 green balls and 18 balls in total, then the probability still is 6/18

Statement A is true

B) if we define the notation:

YR

as:

Yellow in the first draw, red in the second draw.

The possible outcomes are:

YR

YG

YY

RR

RG

RY

GR

GG

GY

So we have a total of 9 outcomes, we also can calculate this in the following way:

For the first event (first draw) we have 3 possible outcomes (Y, G, and R)

For the second event (second draw) we have again 3 possible outcomes.

The total number of outcomes is the product between the possible outcomes for each event, this is:

3*3 = 9

Then statement B is false.

C) The probability of drawing a red ball first is:

p = 6/18

The probability of NOT drawing a red ball second, is equal to the probability of drawing a yellow or green ball second (we have 12 balls that are green or yellow, and 18 total balls) then this probability is:

q = 12/18

The probabilities are different, then we can conclude that statement C is false.

fD) The expected probabilty of drawing a red ball and then a yellow ball is the product of the individual probabilities, this is:

prob of drawing a red ball first = 6/18

prob of drawing a yellow ball second = 6/18

Joint probability:

P = (6/18)*(6/18) = (1/3)*(1/3) = 1/9

So statement D is true.  (it says 19, i suppose that there is a mistake in this sentence and it actually should say 1/9)

Decrease £16855.21 by 13.5%

Answers

Answer:

£14579.76

Step-by-step explanation:

First do 16855.21 * .135 =  2275.45335 now do 16855.21 - 2275.45335 to get 14579.75665 round this to get 14579.76

helpppppppppppppppppppp​

Answers

Answer:

6:5:4

Step-by-step explanation:

6 + 5 + 4 = 15

3000/15 = 200

200 x 6 = 1200 = eldest

200 x 5 = 1000 = 2nd eldest

1200 + 1000 = 2200

3000 - 2200 = 800

200 x 4 = 800 = youngest

Answer 6 : 5 : 4

Step-by-step explanation:

Its simply because

1200 ÷ 6 is 200 which is a whole number... If you divide for example 1200 by 7 it wont give you a whole... And also the first number of the ratio should be the greatest since the first child got the most money and the last the least which means the least should be the smallest number.

3) What is 3x +15y=-16 in slope intercept form?

Answers

Answer:

y=-1/5x-16/15

Step-by-step explanation:

slope intercept form y=mx+b

3x+15y=-16

15y=-3x-16 divide both sides by 15

y=-3/15x-16/15   simplify -3/15 to -1/5

y=-1/5x-16/15

Ramsay cuts out a piece from a circular cardboard for a school project. The radius of the cardboard is 10 inches and the measure of the central angle is 54 degrees, as shown.

What is the length of the curved boundary of the piece of the cardboard Ramsay cuts out?
Leave in terms of π.

Answers

Answer:

34 inches

Step-by-step explanation :

54/360 X 20

pleaseeee help me, i dont have much time to finish

Answers

Answer:

[tex]\sqrt{80} \\OR \\ 5\sqrt{4}[/tex]

Step-by-step explanation:

pythagorean theorm

and then simplify with a factor tree or leave it as is.

BRAINLIEST PLEASE IF RIGHT

The product of 6x5/3 will be (less than, greater than, equal to) 6 because the fraction 5/3 is (less than, greater than, equal to) 1

Answers

Answer:

The product of 6x5/3 will be greater than 6 because the fraction 5/3 is greater than 1.

Step-by-step explanation:

Note: If any fraction which the numerator and denominator have the same number , for example 6/6 it will equal to 1. If the numerator overpasses the denominator, it will be more than 1.

During April, he charges $387.92 to the card, and at the end of April, he makes a payment of $400.00. What will be the new balance on his card?

Answers

he would have no money because he used it
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