A square has side length 3 units. What is the length of the diagonal?
A. 3 units
B. 3/√2 units
C. 3√2 units
D. 6 units

Answers

Answer 1

Answer:

C

Step-by-step explanation:

The diagonal can be represented as the hypotenuse of a right triangle with 3 and 3 as its legs. Use the pythagorean theorem to get that 3^2+3^2=c^2. Simplify to 9+9=c^2 or 18=c^2. Square root both sides to get c=√18. Simplify to get c=√9*2 or c=3√2 for the diagonal.

Answer 2

The length of the diagonal of the square is (b) [tex]3\sqrt 2[/tex] units

The length of the diagonal of a square is calculated using the following Pythagoras theorem

[tex]d^2 = l^2 + l^2[/tex]

Where:

d represents the length of the diagonall represents the side length of the square

So, we have:

[tex]d^2 = 3^2 + 3^2[/tex]

Evaluate the like terms

[tex]d^2 = 2(3^2)[/tex]

Take the square roots of both sides

[tex]d =3\sqrt2[/tex]

Hence, the length of the diagonal of the square is (b) [tex]3\sqrt 2[/tex] units

Read more about diagonals at:

https://brainly.com/question/654982


Related Questions

original price $125 discount ? sale price $81.25

Answers

Answer:(125-81.25)/125 = 0.35 = 35%

Step-by-step explanation:

Please help me, i'm stuck on this one. thank you thank you!

A long year-end status report for work is 134 pages long. You need to print 16 copies for a meeting next week. How much is the paper going to cost for those reports? Paper is sold in reams (500 pages) for $3.53 each. Give your answer to the nearest cent, only for the paper you use (partial reams are OK)

Answers

Answer:

The total cost of the copies will be $ 15.14.

Step-by-step explanation:

Given that a long year-end status report for work is 134 pages long, and I need to print 16 copies for a meeting next week, to determine how much is the paper going to cost for those reports if paper is sold in reams (500 pages) for $ 3.53 each the following calculation must be performed:

(134 x 16) / 500 = X

2,144 / 500 = X

4.288 = X

500 = 100

144 = X

144 x 100/500 = X

14,400 / 500 = X

28.8 = X

100 = 3.53

28.8 = X

28.8 x 3.53 / 100 = X

101.664 / 100 = X

1.016 = X

1.016 + (3.53 x 4) = X

1.016 + 14.12 = X

15,136 = X

Therefore, the total cost of the copies will be $ 15.14.

Find side length using trig

Answers

Answer:

85

Step-by-step explanation:

25 divided by tan(72) = 8.1

look at pic 10 pts will mark brainilest

Answers

Answer:

12h = 432

Step-by-step explanation:

Bryan and Jadyn had barbeque potato chips and soda at a football party. Bryan ate 4 oz of chips and drank 1 cup of soda for a total of 600mg of sodium. Jadyn ate 1 oz of chips and drank 4 cups of soda for a total of 300mg of sodium. How much sodium is in 1 oz of chips and how much is in 1 cup of soda?

Answers

Answer:

1 oz of chips has 140 mg of sodium, and 1 cup of soda has 40 mg of sodium.

Step-by-step explanation:

This question is solved by a system of equations.

I am going to say that:

x is the amount of sodium in 1oz of chips.

y is the amount of sodium in 1 cup of soda.

Bryan ate 4 oz of chips and drank 1 cup of soda for a total of 600mg of sodium.

This means that [tex]4x + y = 600[/tex], also [tex]y = 600 - 4x[/tex]

Jadyn ate 1 oz of chips and drank 4 cups of soda for a total of 300mg of sodium.

This means that:

[tex]x + 4y = 300[/tex]

From the first equation, we have that [tex]y = 600 - 4x[/tex]. So

[tex]x + 4(600 - 4x) = 300[/tex]

[tex]x + 2400 - 16x = 300[/tex]

[tex]15x = 2100[/tex]

[tex]x = \frac{2100}{15}[/tex]

[tex]x = 140[/tex]

[tex]y = 600 - 4x = 600 - 4*140 = 40[/tex]

1 oz of chips has 140 mg of sodium, and 1 cup of soda has 40 mg of sodium.

Ashley selected 5 essays from each student in her class. Each student wrote the same number of essays. Is this sample of the essays written by the class likely to be biased?​

Answers

Answer:heheheheheheheheheh

Step-by-step explanation:

im funny

Help I need a real answer plz

Answers

Answer:

y=-3/4x-4

Step-by-step explanation:

To start, you know what m is; it's just the slope, which you said was -3/4. So you can right away fill in the equation for a line somewhat to read:

y=-3/4x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(-8,2). When x of the line is -8, y of the line must be 2.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the -3/4 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (-8,2).

So, why not plug in for x the number -8 and for y the number 2? This will allow us to solve for b for the particular line that passes through the point you gave!.

(-8,2). y=mx+b or 2=-3/4 × -8+b, or solving for b: b=2-(-3/4)(-8). b=-4.

The equation of the line that passes through the point (-8,2) with a slope of -3/4

is

y=-3/4x-4

Twenty-four out of the forty pies at a bake sale are coconuts pies. What
percent of the pies are coconut?

Answers

Answer:

60%

Step-by-step explanation:

Total number of pies = 40

Number of coconut pies = 24

Percentage of coconut pies :

(Number of coconut pies / total number of pies) * 100%

(24 / 40) * 100%

0.6 * 100%

= 60%

60% of pies are coconut pies

1. h(x) = xVx + 5x-2 + 1
Polynomial function: YES or NO
Standard form:
Degree:
Type:
Leading Coefficient:

Answers

12.4 isiisbfjfknsjsfhfhie

Please help will give brainliest

Answers

Answer:

-8

Step-by-step explanation:

If you input x as -2 you get 8=0 so you have to add -8 for it to be true.

Answer:

0

Step-by-step explanation:

We can substitute x for 6 and solve the equation.


Please help! *no links* GIVING BRAINIEST

Answers

Answer:

6. -1

7. [tex]\pi \\[/tex]

8. 2.16

9. -7

10. [tex]\sqrt{144}[/tex]

11.-7.65091254...

12. 4

Step-by-step explanation:

Find the output, y, when the input, x, is 7.
y=__

Answers

Answer:

y=4

Step-by-step explanation:

Read off the graph. The corresponding y-coordinate when the x-coordinate is 7 is 4.

Answer:

4

Step-by-step explanation:

You look for the point on the teal line that has an x-coordinate of 7.

You could also go to the point (7,0), which is on the x-axis, and draw an imaginary vertical line and see which point hits it.

PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer:

angle jkm and angle ihf :)

Step-by-step explanation:

the answer would be angle gfk and angle ihk!

If using the method of completing the square to solve the quadratic equation x^+16x-5=0, which number would have to be added to "complete the square"? Find complete the Square Constant​

Answers

Step-by-step explanation:

can u tell wht is the power of x?

A rectangular park is 70 meters wide and 100 meters long.
Give the length and width of another rectangular park that has the same perimeter but a smaller area.

Answers

9514 1404 393

Answer:

  60 m wide and 110 m long

Step-by-step explanation:

The more the shape deviates from a square, the smaller the area will be. The area can be reduced by making the park longer and narrower. The sum of length and width must remain the same for the perimeter to be unchanged.

Given park: 70 m × 100 m = 7000 m²

Smaller park: 60 m × 110 m = 6600 m² -- less area than 7000 m²

The cost of an online video streaming service is $9.99 per
month. Write an equation that can be used to find d, the cost
in dollars for using the service for m months.

Answers

Answer:

$9.99*m=d

Step-by-step explanation:

Answer:

d = $9.99m

Good luck!

Could I please get some help with this? Thank you!

Answers

Answer:

400/797

Step-by-step explanation:

400 ran a red light

397 didn't run a  red light

a little more than half of everybody ran a red light

acually 400 out of 797 ran a red light

Please help me thanks!

Answers

Answer:

3rd Option

[tex] \frac{6}{17} [/tex]

Step-by-step explanation:

Given,

No. of blue marbles = 6

No. of green marbles = 6

No. of red marbles = 5

So,

Total no. of marbles = 6+6+5 = 17

Therefore,

Probability of not getting blue marbles

[tex] = \frac{6}{17} [/tex]

Hence,

3rd option is correct.

read the information above and answer. i will give brainlest who ever answers this

Answers

Step-by-step explanation:

Your answer is x+9

Mark me brainliest

Carefree offers two type of care packages. The food packages sell for 20$ and the game packages sell for 32$. In one day Carefree sold 25 Care packeges. the receipt for those packages totaled 602$ How many of each type of package were sold

Answers

Answer:

Number of game package = 16.5

Number of food package = 8.5

Step-by-step explanation:

LET :

Food package = a

Game package = b

a + b = 25 - - - (1)

20a + 32b = 602 - - - (2)

a = 25 - b

Put a = 25 - b into (2)

20(25 - b) + 32b = 602

500 - 20b + 32b = 602

12b = 102

b = 102 / 12

b = 8.5

a = 25 - b

a = 25 - 8.5

a = 16.5

Number of game package = 16.5

Number of food package = 8.5

The average annual cost of the first year of owning and caring for a cat is $1,500. A sample of 81 will be used. Based on past studies, the population standard deviation is assumed known with σ = $198. What is the margin of error for a 95% confidence interval of the mean cost of the first year of owning and caring for a cat?

Answers

Answer:

The margin of error for a 95% confidence interval of the mean cost of the first year of owning and caring for a cat is of $43.12.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Sample of 81

This means that [tex]n = 81[/tex]

What is the margin of error for a 95% confidence interval of the mean cost of the first year of owning and caring for a cat?

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]M = 1.96\frac{198}{\sqrt{81}}[/tex]

[tex]M = 43.12[/tex]

The margin of error for a 95% confidence interval of the mean cost of the first year of owning and caring for a cat is of $43.12.

Which value makes the equation 3x / 6 equals 36 true

Answers

I’m confused what your saying but yes 3x6=36

Answer:

72

Step-by-step explanation:

3x/6=36

3x=36(6)

3x=216

x=216/3

x=72

An airplane descends 2.8 miles to an elevation of 5.85 miles. Find the elevation of the plane before an airplane descends 2.2 miles to an elevation of 5.85 miles. Find the elevation of the plane before its descent.
descent.

Answers

Answer:

8.05 miles

Step-by-step explanation:

If it descended 2.2 miles to 5.85 miles then that means it was at 5.85 + 2.2 miles before its descent.

5.85 + 2.2 = 8.05

Answer:

8.05 miles

Step-by-step explanation:

5.85 + 2.2 = 8.05

5.85 + 2.8 = 8.65 (not the answer, but as an example ;b

What is the area of the drawing of the trophy shown?

Answers

There is no picture to look at

Answer:

What trophy?

Step-by-step explanation:

Theres no picture in the question

How many 2/5 cup servings are in 9/5 cups of ice cream? (in simplest fraction form)​

Answers

Answer: 5/2 because 2/5 times 4 is 8/2 plus 1/2 is 9/2

Step-by-step explanation:

SLOPPY TOPY TOPPY TOPPY

Answers

Answer:

D. 51

Step-by-step explanation:

the highest number- the lowest number

54-3=51


PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer:

its d

Step-by-step explanation:

trust me

Answer:

MNP and ONK

Step-by-step explanation:

Vertical angles are angles which are vertical to each other and are parallel to each other.

What is the slope of (-16, 7) (-1, 17) and the slope of (-11, 15)
, (-11, 6)

Answers

Answer:

2/3 and 9

Step-by-step explanation:

If f(x) = (x – 2, then find f(-3).​

Answers

if f(x) = x - 2, then f(-3) = -5

Peter buried a treasure chest on a remote island and is.making a map so he can find it later. One of the key landmarks in the area is a small rectangle hut, 5m by 8m

Answers

Where’s the rest of the question?
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