A walkway forms one diagonal of a square playground. The walkway is 14 m long. How long is a side of the playground?

Answers

Answer 1

Answer: The side of the playground is around 10 meters long

Step-by-step explanation:

use the diagonal as the hypotenuse of a right triangle, where the sides of the square form the legs of said triangle.

Usually

[tex]a^{2} +b^{2} =c^{2}[/tex]

since we know a and b are the same length (sides of a square are congruent) we would have

[tex]a^{2} +a^{2} =c^{2} \\2a^{2} =c^{2}[/tex]

We know that c is 14 so

[tex]2a^{2} =14^{2} \\2a^{2} =196\\a^{2} =98\\a=\sqrt{98} \\a= 9.999[/tex]


Related Questions

Which is the correct mapping statement for a rotation 180∘ about the origin?

(x,y)↦(y,x)
(x,y)↦(−x,−y)
(x,y)↦(−y,x)
(x,y)↦(y,−x)

Answers

Answer:

B

Step-by-step explanation:

it moved twice to the left hand side because it's 180 anticlockwise

Answer:(x,y)↦(−x,−y)

Step-by-step explanation:

You buy a laptop that
originally cost $660.
It was on sale for 20%
off. You paid 8% tax
on the sale price.
What was the total amount that you paid?

Answers

Answer:

$528.00

Step-by-step explanation:

I hope this helps :)

You paid 570.24 in total.

Please help, test due in 2 hours! Will give good review and brainliest. :)

Answers

Answer:

triangle and rectangle??

Step-by-step explanation:

What is the surface area of a right circular cylindrical oil can, if the radius of its base is 4 inches and its height is 11 inches? for 25 points

Answers

Step-by-step explanation:

Given

Radius (r) = 4 inches

height (h) = 11 inches

Total surface area of cylindrical oil can is

= 2πr ( r + h)

= 2 * 22 / 7 * 4 ( 4 + 11)

= 2 * 22/7 * 4 * 15

= 377.14 inches ²

If the radius of a right circular cylindrical oil can base is 4 inches and its height is 11 inches, then the surface area of that right circular cylindrical oil can is 376.99 square inches.

What is the surface area of a right circular cylindrical figure?

Let b and h be the radius of the base and height of a right circular cylindrical figure respectively. Then the surface area of this right circular cylindrical figure is 2πb(b + h).

How to solve this problem?

Given that the radius of the base of the can is 4 inches.

The height of the can is 11 inches.

Then the surface area of the can = 2π * 4(4 + 11) = 8π(15) = 120π = 376.99 square inches

Therefore, If the radius of a right circular cylindrical oil can base is 4 inches and its height is 11 inches, then the surface area of that right circular cylindrical oil can is 376.99 square inches.

Learn more about the surface area here -

https://brainly.com/question/22243438

#SPJ2

whats the circumference?

Answers

Answer:

40.82

Step-by-step explanation:

3.14 times 13

Determine the measure of the missing angle in the figure below.
DRAG & DROP THE ANSWER
90
45
75
Missing angle:

Answers

Answer:

Step-by-step explanation:

a line is parallel to y=3x-2 and intersects the point (3,5)

Answers

It says parallel so the gradient will be the same

The equation of the line that is parallel to y = 3x - 2 and intersects the point (3, 5) will be y = 3x - 4.

What is the equation of a parallel line?

Let the equation of the line be ax + by + c = 0. Then the equation of the parallel line that is parallel to the line ax + by + c = 0 is given as ax + by + d = 0.

The linear equation is given below.

y = 3x - 2

The equation of the line that is parallel to the line y = 3x - 2 will be given as,

y = 3x + c

The equation passes through (3, 5), then we have

5 = 3(3) + c

5 = 9 + c

c = - 4

Then the equation of the line will be y = 3x - 4.

More about the equation of a parallel line link is given below.

https://brainly.com/question/402319

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PLS HELP WILL CHOOSE BRAINLY NO SENDING LINKS! Which conditions will result in the construction of a unique triangle? Select TWO answer choices.

Answers

Answer:

not sure about second, but one is the 30, 60, 90 angle triangle. That one i'm 100 percent sure of (30, 60, 90).

Step-by-step explanation:

Help if you can -
8 commercials in 15 minutes
Find Unit Rate

Plzz show work!
Also, dont add any type of links

Thanks!! :D

Answers

Answer:

1.875 commercials a minute

Step-by-step explanation:

Describe several methods you could use to determine the rational zeros of a polynomial function. Which would you choose to use first? Explain.

Answers

Answer:

The Rational Zero Theorem helps us to narrow down the list of possible rational zeros for a polynomial function. Once we have done this, we can use synthetic division repeatedly to determine all of the zeros of a polynomial function.

Step-by-step explanation:

Answer:

The Rational Zero Theorem helps us to narrow down the list of possible rational zeros for a polynomial function. Once we have done this, we can use synthetic division repeatedly to determine all of the zeros of a polynomial function.

Step-by-step explanation:

I need help please pleaseeeeee

Answers

Answer:

19.64 ft

Step-by-step explanation:

7/25 = 5.5/x

7x = 137.5

x = 19.64

4x^2+19x+19=0 to the nearest tenth

Answers

Answer:

the answer is

Step-by-step explanation:

4. Calculate the compound interest earned when $8 500 at 8% per year for:
a. 3 years
b. 8 months

Answers

i’m going to say a.3 years something is telling me it’s tht

o study student engagement, a university surveys 1,390 college freshman and determines that 470 of them participate in a recreational sport. The university would like to estimate the proportion of all college freshman that participate in a recreational sport at a 95% confidence interval. What is the upper bound of the confidence interval built by the university

Answers

Answer:

46

Step-by-step explanation:

To get ready for school, Traci spent 1/20th
of an hour getting dressed and 1/10th of an
hour doing her hair. What is the total
amount of time she spent getting ready?
Give your answer in simplest form.

Answers

Answer:

3/5

Step-by-step explanation:

1/10+1/20=3/5

Look at the system of equations below.
y = {x + 10
y = {x – 10
Which of these statements is correct?
A. The system has no solution.
B. The solution of the system is (-3,8).
C. The solution of the system is (6,-6).
D. The system has an infinite number of
tiang

Answers

Answer:

Step-by-step explanation:

A

The relationship between a relationship between his life is a stronger understanding and relationship with the revolution and his relationship between his relationship with the union of his life relationship and his life and his father relationship is a stronger understanding and understanding that his life relationship with the union and relationship is stronger understanding of understanding

Jazzmine took out a loan of $17,500 to buy a new car. She received a 3.5% interest rate compounded annually and paid $3,274.50 in interest. How long did it take Jazzmine to pay off the loan?

Answers

Answer:

Time period = 5 year (Approx.)

Step-by-step explanation:

Given:

Amount of loan = $17,500

Rate of interest = 3.5% compounded annually

Amount paid as interest = $3,247.5

Find:

Time period

Computation:

Using compounded interest formula

I = P[(1+r)ⁿ - 1]

3,247.50 = 17,500[(1+3.5%)ⁿ - 1]

3,247.50 = 17,500[(1+0.035)ⁿ - 1]

3,247.50 = 17,500[(1.035)ⁿ - 1]

Time period = 4.948

Time period = 5 year (Approx.)

A dot plot displays data ______
using a small dot for each data piece.

A : Vertically

B: Graphically

C: Proportionally

Answers

A is the correct answer

The scatterplot shows the relationship between the percentage of battery life remaining in 12 smoke detectors and the number of months that the batteries have been in the smoke detectors.
Based on the scatterplot, what is the best prediction of the number of months it would take for the battery in a smoke detector to have 20 percent battery life remaining?
A-9 months
B-7 months
C-11 months
D-6 months

Answers

6 months would be the expected length

How many zeros are in the product 4 x 10 7th power

Answers

Answer:

7 or 40,000,000

Step-by-step explanation:

The exponent (^7) is how many zeros for the 10. if there is 10^2 its just 100 because it's 10 * 10 or 100 (notice the zeros in the 10 * 10 equation? yup, there's 2) and the 4 is basically 4 * 10, it changes the 10 like 4*1 but with a lot of zeros if there were exponents (10^2) so just put them together and you get 4 * 10^7

10^7 (its just 10 times itself 7 times) = 10,000,000

4 * 10,000,000 = 40,000,000

Hope this helps

~R3V0

Express the tangent of angle U as a ratio of the given side lengths.

Answers

Answer:

Option c ==> 5/12 is the answer

help please , i need it asap ! ty

Answers

Answer:

7.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

If the one side = 3 and the other side (4.5) is supposed to be the same all it is is 4.5/3 which is 1.5. 1.5 times 5 ( the bottom side) is 7.5! X=7.5

I have no idea what this question means but if anyone understands it or has an answer much help is apreciated! :)

Answers

Here, we have to factorise :

- 12n - 20

Consider the largest number which is the factor of both -12 and -20, that is -4.

→ -4 × 3n = -12n

→ -4 × 5 = -20

Taking (-4) as common,

→ -4( 3n + 5 )

Option B is correct. [tex] \checkmark [/tex]

y = 4x + 8 when x = 3y

Answers

Answer:

-8/11

Step-by-step explanation:

what are you trying to isolate

When can you write ratios as a fraction?

Answers

Answer:

In a mathequation when needed

Step-by-step explanation:

What is the value of g(0)
a. 1
b. 0
c. 8
d. 4

Answers

Answer:

c. 8

Step-by-step explanation:

1)  [tex]g(x)=8(\frac{1}{2} )^{x}[/tex]

2)  [tex]g(0)=8(\frac{1}{2} )^{0}[/tex]

3)  [tex]g(0)=8*1[/tex]

4)  [tex]g(0)=8[/tex]

Aquarium is a square prism. What is the height of the aquarium if it has a volume of three cubic units and a width of 3 feet?

Answers

Answer:

1

Step-by-step explanation:

x*3=3

x=1

What is the answer to 3/4= 6

Answers

Answer:

False

Step-by-step explanation:

Work out
m
and
c
for the line:
y
=
11
x

Answers

Answer: m=11

Step-by-step explanation:

PLEASE I NEED THIS NOW, AND EXPLICATION

Answers

Answer:49.5

Step-by-step explanation:so if 1 inch equal to 3 yards then 7.5 will be 21.5  and 6 inchs will be 18 so if you all together you will get 49.5

Answer:

36

Step-by-step explanation The answer would be  36 because A=a2=62=36 and the math added to 36 hope this helped.

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