Ifa rectangle measures 20 meters by 48 meters, what is
the length, in meters, of the diagonal of the rectangle?

Answers

Answer 1

Answer:

[tex]52m[/tex]

Step-by-step explanation:

We can use the Pythagorean theorem to find the length of the diagonal since drawing a diagonal across a rectangle results in two right angle triangles.

Length of diagonal [tex]= \sqrt{20^2+48^2}[/tex] (The length of the diagonal can be thought of as the hypotenuse of one of the right angle triangles)

[tex]=\sqrt{2704}[/tex]

[tex]=52 m[/tex]

∴ The length of the diagonal is [tex]52 m[/tex]

Hope this helps :)


Related Questions

The table shows the price for different numbers of icecream treats:





Number of Icecream Treats Price(in dollars)
2 6
5 15
7 21
12 36


Does this table of numbers represent a proportional relationship? (5 points)

a
Yes, because the price is 3 times the number of icecream treats

b
Yes, because 3 times the price is the number of icecream treats

c
No, because the price of 5 icecream treats should be $12 and not $15

d
No, because the price of 12 icecream treats should be $48 and not $36

Answers

the answer is a, yes

What is (f+g) (x)???

Answers

Answer:

A.

Step-by-step explanation:

To get to the answer, add both f(x) and g(x) together. This would be (2x^2 +3x -4) + (-4x^2 + 5x - 8). Remember that adding a negative number is the same as subtracting the positive of that number, for example, 3 + (-4) is the same as 3 - 4.

please help! (One question)

Answers

Answer:

An equilateral triangle is never similar to a scalene triangle, because you can never map one onto the other using only dilations  and using rigid transformations

Step-by-step explanation:

please help!! i’ll give brainliest

Answers

Q1. p=a-i

Q2. l= 1/2p-w

Q3. t=d/s

I think that these are correct

2 integers with a sum of 0 and product of -16

Answers

Answer:

-4 and + 4

Step-by-step explanation:

Two integers with a sum of 0 and product of - 16

Let the two digits = a and b

a + b = 0

a * b = - 16

If a = 4 and b = - 4 ;

CHECK:

4 + (-4) = 4 - 4 = 0

4 * (-4) = - 16

HENCE, the two integers are 4 and - 4 or - 4 and 4

Please help :((( will mark brainliest !

Answers

Answer: i think its c

hope its right

:)

Please HELP ASSSP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

There are 96 more freshmen than juniors. the answer is D: 96

Step-by-step explanation:

28% and 22%

28 - 22 = 6

6% of 1,600 = 96

6% = 0.06

0.06 x 1,600 = 96

There are 96 more freshmen than juniors.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Find the equation of the line that is parallel to the given line and passes through the given points Y=0.1 X -2;(-4,8)
The equation is y=
Please help it’s very urgent

Answers

Answer:

y=0.1x + 8.4

I hope it will be useful.

The diffrence between 9 and half of a number is 16 what is the number?

Answers

Answer:

is this how the question is really wrote out. it doesn't look like english

Step-by-step explanation:

half of 9 is 4.5

If I understood the question correctly, the number would be 50.

Half of 50 is 25, and the difference between 25 and 9 is 16. I hope this helps! :)

plz give answer and explanation
i will give 24 points

Answers

Answer:

please refer to the above attachment.

Step-by-step explanation:

a. 3800 + 2.5%3800 = 3895

3895 - 3800 = 95 is the interest

b. there are 12 months in a year so...

95 x 12 = 1140 is the total interest

its all in the picture v

Answers

Lynn’s answer was correct

F(x) = -2x^2 +32
F(3) =-2(3)^2 +32
F(3)=-2(9)+32
F(3) =-18+32
F(3) = 14
X=14

Answer:

lynns is correct

Step-by-step explanation:

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In the equation 5x-2=-x-20, What is the value of x?
a. 2
b. -1
c. -3
d. -2

Answers

Answer:

C choice.

Step-by-step explanation:

[tex]5x - 2 = - x - 20 \\ [/tex]

First, we move the same terms to the same side.

[tex]5x + x = - 20 + 2 \\ 6x = - 18[/tex]

Then we move 6 to divide - 18.

[tex]x = \frac{ - 18}{6} \\ x = - 3[/tex]

HELP MEEEEE (find the values of z and y)

Answers

Do you have an answer choice?
plug 70 in for y and then do 180-70 to get z

can you please show the work on both of them? ​

Answers

                                            Question 9)

From the line graph, taking two points

(-5, 4) (-6, 7)

Finding the slope between  (-5, 4)  and (-6, 7)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-5,\:4\right),\:\left(x_2,\:y_2\right)=\left(-6,\:7\right)[/tex]

[tex]m=\frac{7-4}{-6-\left(-5\right)}[/tex]

[tex]m=-3[/tex]

We know that the slope-intercept of the line equation is

y = mx+b

where m is the slope and b is the y-intercept

substituting (-5, 4) and m = -3 in the slope-intercept of the line

y = mx+b

4 = -3(-5)+b

4 = 15+b

b = 4-15

b = -11

substituting b = -10 and m = -3 in the slope-intercept of the line

y = mx+b

y = -3x+(-11)

y = -3x - 11

Thus, equation is slope-intercept form will be:

y = -3x - 11

Hence, option B is true.

                                                Question 10)

From the line graph, taking two points

(4, 7) (-8, 1)

Finding the slope between  (4, 7)   and (-8, 1)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(4,\:7\right),\:\left(x_2,\:y_2\right)=\left(-8,\:1\right)[/tex]

[tex]m=\frac{1-7}{-8-4}[/tex]

[tex]m=\frac{1}{2}[/tex]

We know that the slope-intercept of the line equation is

y = mx+b

where m is the slope and b is the y-intercept

substituting (4, 7) and m = 1/2 in the slope-intercept of the line

y = mx+b

7 = 1/2(4)+b

7 = 2+b

b = 5

substituting b = 5 and m = 1/2 in the slope-intercept of the line

y = mx+b

y = 1/2x + 5

Thus, the equation is slope-intercept form will be:

y = 1/2x + 5

Hence, option C is true.

The number of girl child per family was recorded for 1000 families with 3 children. The data obtained was as follows: [2] Number of Girls 0 1 2 3 Number of Families 112 314 382 192 Suppose a family is chosen at random, find the probability that it has: (a). At most one girl (b). More girls than boys

Answers

Answer:

[tex]a.\ Probability = 0.426[/tex]

[tex]b.\ Probability = 0.574[/tex]

Step-by-step explanation:

Given

[tex]Total\ Families = 1000[/tex]

Number of Girls :      0 ---->  1 -----> 2   ------->3

Number of Families: 112 -> 314 --> 382 ---> 192

Solving (a): At most one girl

From the table, the number of families with at most one girl is: 112 + 314

i.e.

Number of Girls :      0 ---->  1

Number of Families: 112 -> 314

So, we have:

[tex]At\ Most\ One\ Girl = 112 + 314[/tex]

[tex]At\ Most\ One\ Girl = 426[/tex]

The probability is then calculated as:

[tex]Probability = \frac{At\ Most\ One\ Girl}{Total}[/tex]

[tex]Probability = \frac{426}{1000}[/tex]

[tex]Probability = 0.426[/tex]

Solving (b): More girls

From the table, the number of families with more girl is: 382 + 192

i.e.

Number of Girls :      -----> 2   ------->3

Number of Families: --> 382 ---> 192

So, we have:

[tex]More\ Girls = 382 + 192[/tex]

[tex]More\ Girls = 574[/tex]

The probability is then calculated as:

[tex]Probability = \frac{More\ Girls}{Total}[/tex]

[tex]Probability = \frac{574}{1000}[/tex]

[tex]Probability = 0.574[/tex]

please help will mark brainliest​

Answers

Answer:

y = 5.5

Step-by-step explanation:

y = 22 * 0.5^2

=> 22* 0.25

=> 5.5

Hope this helps!      :3

plz mark as brainliest!

3.3 repeating as a fraction

Answers

Answer:

The correct answer is 33/100.

Step-by-step explanation:

To transform a decimal into a fraction, follow the steps below:

Step 1: Change the Fraction into a Decimal:

3.30 = 33/100

Step 2: Find the GCF of both numbers:

The GCF (Greatest Common Factor) of 33 and 10 is 1.

Step 3: Divide both numbers by the GCF:

3.30 =

33/1  ÷ 100/1 =

33/100

Therefore, the correct answer is 33/100.

Hope this helps! :D

3.3 repeating in fraction form will be 33/100.

The correct answer is 33/100.

Given, 3.3 in repeating form.

To transform a decimal into a fraction, follow the steps below:

Change the Fraction into a Decimal:

3.30 = 33/100

Find the GCF of both numbers:

The GCF (Greatest Common Factor) of 33 and 10 is 1.

Divide both numbers by the GCF:

3.30 = 33/1  ÷ 100/1

= 33/100

Therefore, the correct answer is 33/100.

Know more about fraction,

https://brainly.com/question/8482939

#SPJ6

How to convert To prepare for a bake-off, Louise used 0.61 kilogram of flour each day for 3 weeks. How many grams did Louise use in those 3 weeks? 1 kg = 1,000 g

Answers

Given:

Louise used 0.61 kilogram of flour each day for 3 weeks.

To find:

How many grams did Louise use in those 3 weeks?

Solution:

We know that,

1 kg = 1000 g

Flour used by Louise each day for 3 weeks = 0.61 kg

1 week = 7 days

3 week = 21 days

Flour used by Louise for 3 weeks (21 days) = (21 × 0.61) kg

                                                                        = 12.81 kg

                                                                        = (12.81 × 1000)    [ 1 kg = 1000 g]

                                                                        = 12810 g

Therefore, flour used by Louise for those 3 weeks is 12,810 grams.

Red snapper cost $4.15 per pound find the cost of 3.5 pound round to the nearest cent

Answers

Answer:

$14.53 for 3.5 pounds of red snapper

Step-by-step explanation:

Answer:

14.52?

Step-by-step explanation:

i multiplied 4.15 by 3.5

What is 3 2/5 / 6 plz help!!!

Answers

Answer:

The answer is 0.56 the 6 is repeating

Step-by-step explanation:

Answer:

0.56666666666

In an ordinary annuity, payments or
receipts occur at
a.Beginning of each period
b.End of each period
c.Mid of each period
d. Quarterly basis​

Answers

B. End of each period

B Print
Find the slope of the line.
12
11
10
9
4
2
ol
5
9 10
The slope is

Answers

The slope is 3. Brainliest please :)

Round 3.3453 to 2 decimal place

Answers

Answer:

its 3.35

Step-by-step explanation:

need thanks and make me brainiest if it helps you

3.35 is it rounded to 2 decimal places

The figure shows triangle ABC inscribed in circle D.
If the measure of angle CBD = 44°, find the measure of angle BAC, in degrees. Explain each
step you take to solve using proper math vocabulary.
Unit 4a Question
B

Answers

Answer: 46

Step-by-step explanation:

Just got it on a test so I wanted to help you guys out. Thank you guys in the comment section of the other answer. That one is wrong.

A baseball uniform costs x dollars for a shirt, $15 for pants and $3 for SockS.
Which expression represents the total cost of 25 uniforms if each person
receives only one shirt, one pair of pants and one pair of socks?

Answers

(3+15+X)25=total cost
(18+x)*25

What is the equation of the line passing through the points (–25, 50) and (25, 50) in slope-intercept form?
y = negative 50 x
y = negative 50
y = 50 x
y = 50

Answers

Answer:

y=50

Step-by-step explanation:

this is the answer.

Answer:

Y=50x

Step-by-step explanation:

I just took the test have a good day remember god love u

Giving brainliest help I need it, ignore answers I put unless their right

Answers

Answer:

For the middle one 20 /9  or 2 and 2/9

Step-by-step explanation:

20 /9  or 2 and 2/9

Do you need help with the rest or no?

The conservation club has 32 members. There are 18 girls in the club. What is the ratio of girls to boys in simplest form?
79
916
97
716

Answers

Answer:

9:7

Step-by-step explanation:

number of boys is 32 - 18 = 14

ratio will be 18:14

then 9:7

Answer: 9:7 hope this help i did the quiz so i know answer

Step-by-step explanation:

A plane travels north for 2.5 h at a velocity of 100 km/h. Another plane travels east for 4 hours at a velocity of 62.5 km/h. Which plane traveled the longer distance? Show all calculations

Answers

Answer:

The two planes have traveled the same distance.

Step-by-step explanation:

Given that:

Velocity of first plane traveling north = 100 km/h

Time taken by the plane = 2.5 hours

Velocity of second plane traveling north = 62.5 km/h

Time taken by the plane = 4 hours

To find:

Which plane traveled longer distance?

Solution:

First of all, let us have a look at the formula for finding the distance using velocity and time.

Formula is:

[tex]Distance = Velocity \times Time[/tex]

Distance traveled by first plane:

[tex]Distance_1 = 100\times 2.5\\\Rightarrow Distance_1 = 250 \ km[/tex]

Distance traveled by second plane:

[tex]Distance_2 = 62.5\times 4\\\Rightarrow Distance_2 = 250 \ km[/tex]

Here, we can clearly see that:

[tex]Distance _1 = Distance _2[/tex]

Therefore, the two planes have traveled the same distance.

An indoor soccer field is a rectangle that is 700 feet long by 250 feet wide. Coach Garza is having his players run diagonally from one corner of the field to the opposite corner. What is the distance the players must run?

Answers

Answer: 743.30343766 . . . ft

Round it to whatever place your teacher requires it to be at.

Step-by-step explanation: So, this question can be treated as one in which you need to find the hypotenuse. If you cut the soccer field diagonally, the length and width are still the same. The two legs of our triangle are 700 ft and 250 ft. The formula for finding the hypotenuse is a²+b²=c². Input the numbers, and it becomes 700²+250²=c². 700² is 490,000 and 250² is 62,500. 490,000 + 62,500 = 552,500. This means that 552,500 is c², and in order to find c, or the hypotenuse/diagonal, we need to find the square root of 552,500. The square root of 552,500 is 743.3034376 . . . , which you can round to whatever place you need it to be at.

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