The diagonal length of a rectangle is 25 inches, and the length of the rectangle is 9 inches.

Which measurement is closest to the width of this rectangle in inches?

A) 15.8
B) 16
C) 23.3
D) 34

Answers

Answer 1

Answer:

Option C is the right answer.

Step-by-step explanation:

Given that:

Length of diagonal = 25 inches

Length of rectangle = 9 inches

Width of rectangle will be one of the two legs of right angled triangle and the diagonal will be the hypotenuse.

Using Pythagorean theorem;

[tex]a^2+b^2=c^2\\(9)^2+w^2=(25)^2\\81 + w^2 = 625 \\w^2 = 625-81\\w^2 = 544[/tex]

Taking square root;

[tex]\sqrt{w^2}=\sqrt{544}\\w=23.3[/tex]

Therefore,

Option C is the right answer.

Answer 2

We will see that the width of the rectangle is 23.3, so the correct option is C.

How to get the width if we know the length and the diagonal?

For a rectangle of length L and width W the diagonal length is given by:

D = √( W^2 + L^2)

Rewriting this for the width we get:

W = √(D^2 - L^2)

Here we know that:

D  = 25 in

L = 9 in

Replacing that in the equation above we get:

W = √( (25 in)^2 - (9 in)^2 ) = 23.3

So the correct option is C.

If you want to learn more about rectangles you can read:

https://brainly.com/question/17297081


Related Questions

Work out the value of (2^3)^2

Answers

Answer:

(2^3)^2

=2^(3x2)

=2^6=64

a water bottle holds 2 litres. A leak in the bottle means 25ml drops out each day. How many days will it take until the bottle is empty? please

Answers

Answer:

80

Step-by-step explanation:

2 litres = 2000 ml

2000/25 = 80

80 days

Answer:

80 days

Step-by-step explanation:

First convert 2 litres into millilitres:

2 × 1000 = 2000 ml

To find out how many days it would take until the bottle is empty you have to divide 2000ml by 25ml

2000ml / 25ml = 80 days

hope this helps :)

Based on this graph, how much would 10 concert tickets cost?

Answers

Answer:

120...............

Step-by-step explanation:

1=$20

10×20=120

10 tickets would cost 200$

Step-by-step explanation:

10×20=200$

) Find the area of a circle with radius, r = 53cm.
Give your answer rounded to 3 SF.

Answers

Area of a circle = pi r^2
= 3.14 x 53^2
= 3.14 x 2809
Area of circle = 8820.26 cm^2

Therefore area of circle to 3 significant figures is 8820 cm^2

using the elimination method, what is x and y, I am mostly having trouble with the y part, please explain

2x - 4y = 28
-x + 6y = -14​

Answers

Answer:

x = 14 and y = 0

Step-by-step explanation:

Given that,

2x - 4y = 28 ....(1)

-x + 6y = -14​ ....(2)

Multiplying equation (2) by 2.

-2x + 12y = -28 ....(3)

Adding equation (1) and (3).

2x - 4y + (-2x) + 12y = 28 + (-28)

-4y +12y = 0

y = 0

Put the value of y in equation (2).

-x + 6(0)= -14

x = 14

Hence, the solution of the equations are x = 14 and y = 0.

1/6w is greater than or equal to 2.5

Answers

Answer:

w >= 150

Step-by-step explanation:

1/6 * w >= 2.5

w >= 2.5 * 6

w >= 150

A=2x3^4x5 B=2^3x3^2x5^2 what’s the highest common factor

Answers

Answer:

8x^34 and 2x^86

Step-by-step explanation:

so u tell me

Find the missing numerical value in the box for which the equation 2/3(6x−12)=8+□(2x−4) has no solution.

Answers

Answer:

23

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

You have to fo the equation for both sides then you get 23

math is hard help plsp0​

Answers

Answer:
38.5

Explanation:
55 x .70 = 38.5
Or 55 x .30 =16.5
55-16.5=38.5

Answer:

hgj

Step-by-step explanation:

SOMONE help please!!!!!

Answers

distance formula:

d = √[( x₂ - x₁ )² + ( y₂ - y₁ )²]

Given:

(0,1) and (6, -8)

x₂ = 6

x₁ = 0

y₂ = -8

y₁ = 1

Solve:

d = √[( 6 - 0 )² + ( (-8) - 1 )²]

d = √[( 6 )² + ( -9 )²]

d = √[36 + 81]

d = √[117]

d = 10.8

Choice 10.8

I need help on these 2 problems

Answers

Answer:

The answer to 17 is -8. 2+ = 10 - 12 = -2*4 = -8.

The answer to 18 is 28. 4^2 = 16, 7 + 1 = 9 + 3 = 12, 16 + 12 = 28.

Step-by-step explanation:

The first answer is -8
The second answer is 28

If Alina wrote the last term as 3y3, which must be the first term of her polynomial in standard form

Answers

Answer:

-8x2y

Step-by-step explanation:

Answer:

-8x^2y

Step-by-step explanation:

First collect like terms of xy^2 and 4xy^2(since their variables and deggres are the same) and you get: 5xy^2 - 2x^2y + 3y^3 - 6x^2y

Then collect like terms of -2x^2y and -6x^2(since their variables and deggres are the same) and you get: 5xy^2 - 8x^2y + 3y^2

The problem states "which must be the first term of her polynominal in standard form?"

That means that the polynominal Alina is talking about is -8x^2y.      

Mr. Gonzales showed students part of the prime factorization of 90. One factor is missing. 2 • 32 • __

Answers

Answer:

25

Step-by-step explanatio26 = w

Answer:

25

Step-by-step explanation:cause

find the sum of -3x square- 4x +3 and 2x square -x +3​

Answers

Answer:

−x²−4x+3−x+3

Subtract x from −4x.

−x²−5x+6

Step-by-step explanation:

Can anyone help me solvethis problem its dealing with solving two-step equations. (If you know the answer please help me thank you❤)

2x1=12​

Answers

Answer:

Your answer will be x=11/2

Step-by-step explanation:

What you want to do first is

Subtract 1 from both sides

2x+1-1=12-1

Simplify

2x=11

Divide both sides by 2

[tex]\frac{2x}{2} =\frac{11}{2}[/tex]

Simplify

[tex]x=\frac{11}{2}[/tex]

What is the growth rate of the function f(x)=1.35x?

Answers

Answer:

x=0

Step-by-step explanation:

hope this helps!

The given function is linear. Thus its rate is constant.

The rate of given function is 1.35 per unit growth in input.

Given that:[tex]f(x) = 1.35x[/tex]To find:

Rate of the function

What is linear function?


A linear function is a function whose graph is a straight line.

Rate of linear functions:

Rate of a linear function is constant.

Finding the growth rate:

Let we increase the input x with unity, then:

[tex]f(x) = 1.35x\\ f(x+1) = 1.35(x+1)\\ [/tex]

The difference in functions' output is the growth per unit growth in input:
[tex]f(x+1) - f(x) = 1.35(x+1) - 1.35(x) = 1.35[/tex]

Thus, the rate of the growth of function is 1.35 per unit growth in input(since the rate is constant for linear function, thus this rate is true for all values of x).

Learn more about rate of linear functions here:

https://brainly.com/question/13224212

Determine the value of X in the diagram below.

Answers

Answer:

x=7

?=133°

Step-by-step explanation:

If the lines are parallel then:

2x+9=5x-12

3x=21

x=7

and ?=180-5x-12=180-5*7-12=180-35-12=133°

Can you help me plz i learning it today

Answers

Answer:

C. less than or equal to

Step-by-step explanation:

the direction that the sign is facing

Answer:

a) less than

Step-by-step explanation:

you read the equation left to right. the smaller side/connected part is what you say ( < less than. > greater than)

4 + 18•2.3
What is the
Second step

Answers

Answer:

I believe you have multiply then add

Answer:

45.4

if you are happy with my answer, please give brainliest :)

Step-by-step explanation:

You use order of operations and multiply 18 and 2.3 first

4 plus 41.4

45.4

plz help me with this

Answers

Answer:

4) 49 degrees

plz mark as brainliest

Answer:

the answer is no4 hope it helps u

4. What steps can be taken to find the product of 0.92 and 1,000?
Move the decimal point 1 place to the right and annex 1 zero
b. Move the decimal point I places to the right and annex 2 zeros.
Move the decimal point 3 places to the right and annex 1
d. Move the decimal point 3 places to the right and annex 2 zeros.

Answers

Answer: B

Step-by-step explanation:

Can someone please help

Answers

Answer:

What's your grade. Me grade 6

Step-by-step explanation:

Give me your grade

A rectangular gardien has a perimeter of 24 feet. The length is three less
than twice the width. Find the length

Answers

Answer:

So basically you have to find the width and the length that fits based on what they're giving you.

A basic perimeter equation= P=2L+2W

24=2W+2L

divide by 2 for each variable

so

12=2w+l

6=w+l

so, w+l could be 2+4, 3+3, or 1+5. now, if you input each of these into the equation

(2w)-3=l

so 2 could be 1,2,3,4, or 5.

2(1)-3=-1.... so it can't be w=1 l=5

2(2)-3=1... it can't be w=2 l=4

2(3)-3=3.... the length is 3

SO

you're answer for the length is 3

can someone tell me what’s the answer please ?!

Answers

Answer:

no se

Step-by-step explanation:

I believe the answer is A : y=2x+1

Explanation: The Y-intercept goes through 1 not -1 so you know the last part will be +1. That limits it to A and B. Secondly, It goes rise/run. So look at how the line goes through points. For example From the intercept to the next line. It goes up 2 over one. So 2/1 which is 2. This way it is Y=2x+1! Hope this helps!

Is 10 a perfect square? Is 100 perfect square? Explain

Answers

10 is not a perfect square however 100 is. This is because a square is defined as numbers that are the product of another whole number when multiplied by itself. So, 10x10=100, making 100 a perfect square. However, no number multiplied by itself equals 10, meaning 10 is NOT a perfect square.

Answer:

No, 10 is not a perfect square.

Yes, 100 is a perfect square.

Step-by-step explanation:

10 is not because  in order for a number to be a perfect square, you have to see if the numbers that are multiplied to get it are the same.

100 is because 10 x 10 <---- exact same number being mutiplied.

what is the perimeter of this figure?

Answers

Answer:

17

Step-by-step explanation:

I think I did it right

fill in the blanks and read what it says

Answers

5 it’s 5 my answer is 5

gina wilson unit 6 homework 4
help with 6,8,and9

Answers

Answer:

Q6. x = 17Q8. Yes, parallelQ9. No, not parallel

Step-by-step explanation:

Q6. Solve for x

Use ratios of similar sides

28/(82 - 28) = (2x + 8)/(5x - 4)28/54 = (2x + 8)/(5x - 4)14/27 = (2x + 8)/(5x - 4)14(5x - 4) = 27(2x + 8)70x - 56 = 54x + 21670x - 54x = 56 + 21616x = 272x = 272/16x = 17

Q8

If ratios are same, the lines are parallel

41.8/33 = (102 - 45)/4541.8/33 = 57/4541.8*45 = 33*571881 = 1881

Yes, lines are parallel

Q9

38/19 = 52/242 = 2 1/3

Incorrect, lines are not parallel

For the construction below, which theorem guarantees that AB is parallel to DC?

Answers

Answer: Theorem 10

Step-by-step explanation: Theorem 10 states that Two lines intersected by a transversal are parallel if and only if corresponding angles are congruent.

You can slide the top angle down, and it is congruent to the bottom angle, proving that it is parallel

Happy Paws charges $19.00 plus $5.50 per hour to keep a dog during the day. Woof Watchers charges $10.00 plus $6.75 per hour. Complete the equation and solve it to find for how many hours the total cost of the services is equal. Use the variable h to represent the number of hours.

Answers

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