The diagonal of a rectangular swimming pool measures 29 yards. If the length of the pool is 25 yards, which measurement is closest to the width of the pool?​

Answers

Answer 1

Answer:

Width of the pool = 15 yards

Step-by-step explanation:

Given that:

Length of diagonal of swimming pool = 29 yards

Length of the pool = 25 yards

Let,

w be the width.

This will form a right angled triangle where the diagonal will be hypotenuse.

Using Pythagorean theorem;

[tex](25)^2+(w)^2 = (29)^2\\625+w^2=841\\w^2= 841 - 625\\w^2 = 216[/tex]

Taking square root on both sides

[tex]\sqrt{w^2}=\sqrt{216}\\w=14.70[/tex]

Rounding off to nearest whole number

w = 15 yards

Hence,

Width of the pool = 15 yards


Related Questions

Kiari needs at least $4800 to buy her first car. She has already saved half. If she saves $50/week, what is the minimum number of weeks it will take her to save enough for the car?

Answers

Answer:

48 weeks

Step-by-step explanation:

Select the correct solution for 12x = 60.
O A. x = }
B. X = 5
C. X = 48
O D. x = 72

Answers

Answer:

B.5

Step-by-step explanation:

5*12=60

Which equation represents a line with a slope of 1⁄2 passing through
the point (6, 4)? please answer ASAP. will give brainiest with explanation

Answers

Answer:

is -4=Y

Step-by-step explanation:

i had that problem

What is the solution to the equation below? Round your answer to two
decimal places.
6 • e^x = 25

Answers

x = 1.43 is the solution to the equation 6 • e^x = 25, rounded to two decimal places

For what Value of X is ABC~ DEF?​

Answers

Answer:

The answer to the question is A

In order to solve the equation 9x = -3 (2+ 3y) for y a student simplifies the equation as shown
Step 1: 9x = –3x + -3 (Gy)
Step 2: 9x = -3x + - y
Step 3: 92
Step 4: 6x = -Y
Step 5: Y = -6
3x = -Y
Which statement describes the error the student made in simplifying the equation?

Answers

the student should have distributed the -3 to both terms in the parenthesis in the first step. so it should’ve been 9x= -6-9y

An astronaut drops a rock off the edge of a cliff on the moon. The distance d(t), in meters, the rock travels after t seconds can modeled by the function d(t)= .5x^2. What is the average speed, in meters per second, of the rock between 5 and 10 seconds after it was dropped

Answers

Answer:

The average speed is 7.5 [tex]\frac{ m}{ s}[/tex]

Step-by-step explanation:

Speed ​​is a physical quantity that expresses the relationship between the space traveled by an object and the time used for it.

Then, the average speed relates the change in position to the time taken to effect that change:

[tex]speed=\frac{change in position}{change in time}[/tex]

The change in position is the difference between the final position and the initial position, while the change in time is the difference between the final and initial time.

In this case, the starting and ending positions are calculated by replacing the times in the function of the distance d (t):

d(5)= 0.5*5²= 12.5 m

d(10)= 0.5*10²= 50 m

So:

change in position= final position - initial position= 50 m - 12.5 m= 37.5 mchange in time= 10 s - 5 s= 5 s

Replacing in the definition of speed:

[tex]speed=\frac{37.5 m}{5 s}[/tex]

and solving you get:

speed= 7.5 [tex]\frac{ m}{ s}[/tex]

The average speed is 7.5 [tex]\frac{ m}{ s}[/tex]

In your own words, define the conic section you chose as a collection of points (loci) on a plane.

Answers

A curve that is an intersection of the surface of a cone with a plane.

The conic section as a collection of points(loci) on a plane can be defined in this way .

What is conic section?

A conic section is a curve obtained by intersecting a cone with a plane. In Algebra , There are  four main types of conic sections:

circles, parabolas, ellipses and hyperbolas. Each of these conic sections has different characteristics and formulas that help us solve various types of problems.

What is loci?

A locus (plural: loci) (Latin word for "place", "location") is a set of all points (commonly, a line, a line segment, a curve or a surface), whose location satisfies or is determined by one or more specified conditions.

According to the question

There are 4 main types of Conic section :

circles, parabolas, ellipses and hyperbolas. Each of these conic sections has different characteristics and formulas

Loci for circle : The locus of a circle is defined as a set of points on a plane at the same distance from the center point.

Loci for parabola : A parabola is a locus of points that are equidistance form a focus and a directrix .

Loci for hyperbola: A hyperbola is the locus of points such that the absolute value of the difference between the distances from to and to is a constant.

Loci for ellipse: An ellipse is the locus of all those points in a plane such that the sum of their distances from two fixed points in the plane, is constant. The fixed points are known as the foci (singular focus), which are surrounded by the curve.

Hence, The conic section as a collection of points(loci) on a plane can be defined in this way .

To know more about conic section and loci  here:

https://brainly.com/question/10311514

#SPJ2

Prove the identity.

sin x(1 + cot^2x)=csc x

Answers


1+cot2=csc2

:) good luck

Here are two similar rectangles find the area of the largest one

Answers

Answer:

40.32 cm²

Step-by-step explanation:

The area of the small rectangle = 7 × 4 = 28 cm²

Given the ratio of the sides of similar rectangles = a : b , then

the ratio of the areas = a² : b²

Here ratio of sides = 4 : 4.8 = 1 : 1.2

ratio of areas = 1² : 1.2² = 1 : 1.44

Let x be the area of the larger rectangle then by proportion

[tex]\frac{1}{28}[/tex] = [tex]\frac{1.44}{x}[/tex] ( cross- multiply )

x = 40.32

Area of larger rectangle is 40.32 cm²

Answer:

do it yourself loser

Step-by-step explanation:

loser

An architect uses a cylindrical container to protect her blueprints. The dimensions of the cylinder are shown in the diagram. 3 in. 15 in. Which measurement is closest to the total surface area of the container in square inches?

Answers

15 is the answer I think

two parallel lines are cut by a transversal as shown below. Suppose m<8=131. Find m<1 and m<3.

Answers

Answer:

m∠1 is 49° and m∠3 is 49°

Step-by-step explanation:

In the given figure

∵ There are 2 parallel lines

∵ A transversal cuts them

∠4 and ∠8 are corresponding angles

→ Corresponding angles are equal in measures

m∠4 = m∠8

∵ m∠8 = 131°

m∠4 = 131°

∠1 and ∠4 formed a pair of linear angle

∵ The sum of the measures of the linear angles is 180°

m∠1 + m∠4 = 180°

→ Substitute ∠4 by 131°

∴ m∠1 + 131° = 180°

→ Subtract 131 from both sides

∵ m∠1 + 131 - 131 = 180 - 131

m∠1 = 49°

∠1 and ∠3 are vertically opposite angles

m∠1 = m∠3

∵ m∠1 = 49°

m∠3 = 49°

PLZ HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!

Use the original price and the markup to find the retail price.

Original price: $64; Markup: 20%

The retail price is $ ___________

Answers

Answer:

$72 would be the retail price

Step-by-step explanation:

*WILL MARK BRAINLIEST*
Can a triangle be made from the side lengths? 4 cm, 6 cm, 9 cm

A: Yes, one triangle can be made
B: No, a triangle cannot be made

Answers

b it cannot be made
A: Yes one triangle can b made

Explanation:

(3x8)x4=3x(?) i need to know what this is

Answers

Answer:

32

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

i know someone put this and i needed help with the oof

Jeremy spent the entire weekend earning money by working around his neighborhood 15% of his total earnings was from raking leaves and $36 mowing lawns and earn the rest of his money walking dogs the end of the weekend with earning $90 how much money did he earn by walking dogs?

Answers

Answer: $40.50

Step-by-step explanation:

Since 15% of his total earnings was from raking leaves. The earning from taking leave will be:

= 15% × $90

= 0.15 × $90

= $13.50

Earnings from mowing lawns = $36

The earnings from walking dogs will be:

= $90 - $36 - $13.50

= $40.50

Katelyn was designing a cover for her binder and needed to cut some construction paper. The construction paper length can be represented by the expression (a2 + 7a - 3) if katelyn cut a piece that was (2a+5) long, how much construction paper is left

Answers

Answer:

a² + 5a - 8

Step-by-step explanation:

If the construction paper has a length of a² + 7a - 3, and Katelyn cut a piece 2a + 5 long, the amount of construction paper that would be left is,

a² + 7a - 3 - (2a + 5)

= a² + 7a - 3 - 2a - 5

collecting like terms, we have

= a² + 7a - 2a - 3 - 5

simplifying, we have

= a² + 5a - 8

a. 16
b. 39
c. 98
d. 21

will give brainliest to whoever can answer fastest

Answers

Answer:

I would say B. 39.

Step-by-step explanation:

Hope this helps:)

the answer to this question is b

Help me I need an answer

Answers

I think that C is the correct one

41 euros to 85 euros find the percent

Answers

Answer:

Step-by-step explanation:

1.21 United States Dollar

find the measure of angle 1
(simplify your answer. type an integer or a decimal)

Answers

Answer:

<1=117°

Step-by-step explanation:

The sum of two opposite interior angles equals one exterior angle.

<1=58+59=117°

There are 2214 bacteria in a petri dish at the beginning of an experiment. The number of bacteria doubles every 3 hours. How many bacteria will there be after 2 days? Your answer: 145,096,704 95,305,440,290 8856 19926

Answers

Answer:

1)145,096,704

Step-by-step explanation:

24*2=48

48/3=16

1.2214*2=4428

2.*2=8856

3.*2=17712

4.*2=35424

5.*2=70848

6.*2=141696

7.*2=283392

8.*2=566784

9.*2=1133568

10.*2=2267136

11.*2=4534272

12.*2=9068544

13.*2=18137088

14.*2=36274176

15.*2=72548352

16.*2=145096704

Please help and number the questions
Giving 50 points please solve it
And I won’t report

Answers

Answer:

1. 18.84 in

2. 56.52 cm

3. 4.71 ft

4. 25.12 m

5. 37.68 ft

6. 12.56 yd

7. 43.96 in

8. 28.26 cm

9. 7.85 m

Step-by-step explanation:

[tex]C=2\pi r[/tex]

Can you guys help we with this question. ​​​​​​

Answers

Answer:

40

Step-by-step explanation:

(2x+1/(2x))^5 *(2x -1/(2x))^5

= ((2x)^2 -1/(2x)^2)^5 (a+b)*(a-b) =a2-b2

= (4x^2-1/4(x)^2)^5

now

x =4x^2. ,a = 1/4(x)^2 ,n =5

we have

general term = Cr *x^r *a^(n-r)

= Cr * (4x^2)^r * (1/4(x)^2)^(n-r)

= Cr *4^r * X^2r * 1/( 4^(n-r) *x^(2n-2r)

= Cr * 4^r/4^(n-r) * x^(2r)/x^(2n-2r)

= Cr * 4(2r-n) *x(4r-2n)

now for x^2

4r-2n = 2

4r -10=2

4r =12

r = 3

now for coeff

C(5,3) * 4^(2*3-5)

5!/(3!*(5-3)!) * 4

5*4/(2*1)*4

40

4r-2n=2

4r-10=2

4r=12

R=13

How can we classify the following shapes ? Pleasee choose the correct answers !!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Answers

Answer:

Quadrilateral, Square, and Rhombus

Step-by-step explanation:

Hope it helped!

Answer:

I think quadrilateral and rhombus.

Step-by-step explanation:

HELP HELP HELP I REALLY NEED HELP PLEASE PLEASE PLEASE!!!!!

Answers

Answer:

i think 7 maybe?

How do I do this problem (similar right triangles) please explain how you did it!!
ASAP!!!

Answers

Answer:

by phythagoras theorem

(c+b)^2=(8)^2+(6)^2

(b+c)^2=64+36

(b+c)^2=100

b+c=√100

b+c=10.

by phythagoras theorem

(8)^2=(a)^2+(b)^2

64-b^2=a^2. {1}

by phythagoras theorem

(6)^2=(a)^2+(c)^2

36-c^2=a^2. {2}

In equation 1 and 2,

64-b^2=36-c^2

64-36= -c^2+b^2

28= b^2-c^2

28=(b+c)(b-c)

28=10(b-c)

b-c=28/10

b-c=2.8.

b+c=10

b-c=2.8

subtract both equations

c=3.6

option A is correct.

Evaluate 4x-(y + 2) + 6 when x = 2 and y = 3

Answers

Answer:

answer is 3

Step-by-step explanation:

8-5

4(2)=8

3+2=5

8-5=3

Answer:

46

Step-by-step explanation:

A wheel with a diameter of 12 inches will move 377 inches when rolled five times. How far will the same wheel move to the nearest inch in 16 rolls?
HELP ME I BEG YOU SMART PEOPLE

Answers

Answer:

1, 206 inches

Step-by-step explanation:

The sum of two numbers is 55 and the difference is 11. What are the numbers

Answers

33 and 22 are the answers
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