Maddie's bedroom is rectangular. The length of one wall of Maddie's bedroom is 4 meters. The length from one corner of the bedroom to the diagonally opposite corner is 5 meters. What is the length of the other wall?

Answers

Answer 1

Answer:

The length of other wall is 3 meters.

Step-by-step explanation:

Given that:

Length of one wall = 4 meters

Length of diagonal from one corner to opposite corner = 5 meters

As the room is rectangular, the diagonal will form a right angled triangle.

The diagonal will be the hypotenuse.

Using pythagorean theorem;

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

Here,

a = 4 and c = 5

[tex](4)^2+b^2=(5)^2\\16+b^2=25\\b^2=25-16\\b^2=9[/tex]

Taking square root on both sides

[tex]\sqrt{b^2}=\sqrt{9}[/tex]

b = 3 meters

Hence,

The length of other wall is 3 meters.


Related Questions

how do you solve -5 ( -6 - 3x) + 8 = 83

Answers

Answer:

x=3

Step-by-step explanation:

-5(-6-3x)+8=83

Distribute the -5 to both terms in the parentheses by multiplication, multiply the -5 by the -6 and the -3x.

30+15x+8=83

Add like terms, add the 30 and the 8.

38+15x=83

Subtract 38 from both sides to isolate the x on the left side.

15x=45

Divide by 15 on both sides to solve for x.

x=3

Expand and simplify: 3(m + 2) + 4( 6 + m)

Answers

Answer:

Step-by-step explanation:

Multiply through the 3 of the first bracket to get 3m +12. Then multiply out the second bracket by -2 to get -8m -2.

Write it out in a line: 3m + 12 - 8m -2

Simplify: -5m +10

Divide by -5 again to simplify further: m - 2

Answer:

=7m+30

Step-by-step explanation:

Distribute:

=(3)(m)+(3)(2)+(4)(6)+(4)(m)

=3m+6+24+4m

Combine Like Terms:

=3m+6+24+4m

=(3m+4m)+(6+24)

=7m+30

[ 6 × ( 4 + 2 ) − 6 ] ÷ 3 can you plz give me the anwers plz and the right anwers

Answers

Answer: 10

Step-by-step explanation: I think

Answer:

Step-by-step explanation:

Solution:

=6×6-6÷3

=36-6÷3

=30÷3

=10

12) The ratio of the measures of the three sides of a triangle is 4:6:9, and its perimeter
is 190 inches. Find the measure of each side of the triangle. Show proportions.

Answers

Answer:

:)

answered in comments

Step-by-step explanation:

A data set has a mean of 42 and a standard deviation of 7.8 if an element in the set is 54 find its z-score

Answers

Answer:

mean=42

SD=7.8

X=54

Z=(X-u)/SD

Z=(54-42)/7.8=12/7.8

=1.54

If AX:XB as AB:AC, find missing length
AX = 5, CB = 4, AC =6, find AB

Answers

Answer:

AB = 15 ÷ 2

Step-by-step explanation:

The computation of the AB is shown below;

Given that

AX : XB as AB : AC

AX = 5

XB = 4

AC = 6

AB = x

Based on the above information

We can write as

5 : 4 as to x : 6

ratios can be written as fractions

5 ÷ 4 = x ÷ 6

(4)(x) = (5)(6)

4x = 30

x = 30 ÷ 4

x = 15 ÷ 2

Hence, the AB = 15 ÷ 2

Which is the correct answer? and how can you find the answer

Answers

Answer:

?

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

-10/2=-5-7=-12

-8/2=-4-7=-11

Braniliest?

Which box plot correctly represents the data 1,1,5,5,7,8,8,10,12

Answers

Answer: A I think

Step-by-step explanation: Taking the test rn

A population is of size 5,500 observations. When the data are represented in a relative frequency distribution, the relative frequency of a given interval is 0.15. The frequency in this interval is equal to:

Answers

Answer:

825

Step-by-step explanation:

Calculation for what The frequency in this interval is equal to:

Using this formula

Frequency=Population size*Relative frequency interval

Let plug in the formula

Frequency=5,500 observations*0.15

Frequency=825

ThereforeThe frequency in this interval is equal to:825

The frequency in this interval is equal to 825.

Given

A population is of size 5,500 observations.

When the data are represented in a relative frequency distribution, the relative frequency of a given interval is 0.15.

Frequency;

The frequency is defined as the product of population size and relative frequency interval.

The following formula is used to calculate frequency in this interval is;

[tex]\rm Frequency= Population\ size\times Relative\ frequency \ interval\\\\[/tex]

Substitute all the values in the formula;

[tex]\rm Frequency= Population\ size\times Relative\ frequency \ interval\\\\Frequency= 5500\times 0.15\\\\Frequency= 55\times 15\\\\Frequency= 825[/tex]

Hence, the frequency in this interval is equal to 825.

To know more about relative frequency click the link given below.

https://brainly.com/question/8972639

-3a + 4 = -14
What the answer to this

Answers

Answer:

-6

Step-by-step explanation:

-3a + 4 = -14

-3a = -14 - 4

-3a = -18

a = -18 / 3

a = -6

Answer:

a = 6

Step-by-step explanation:

Step 1: Subtract 4 from both sides.

-3a + 4 - 4 = -14 - 4

+4 and -4 cancel out.

Step 2: Subtract 4 from -14 to get -18.

-3a = -18

Step 3: Divide both sides by -3.

a = -18/-3

Step 4: Divide -18 by -3 to get 6.

a = 6

Let's check our work by substituting a for 6.

-3(6) + 4 = -14

Multiply -3 by 6 to get -18.

-18 + 4 = -14

Add -18 and 4 to get -14.

-14 = -14

This is true, so a = 6.

The linear function graphed below represents the value of a comic book since Lucy purchased it. What was the value of the comic book when Lucy bought it?

Answers

Answer:

C. $25

Step-by-step explanation:

the answer would be 25 dollars

Answer: c $25 got it on edge

Hello :)
Please help me solve this

Explain answer

Answers

Answer:

B

Step-by-step explanation:

Pick any point on both triangles and compare the points to see how they changed.

C to F went from (0,4) to (0,2)   went down by 1/2

and it's a dilation of the bigger one of 1/2 so it's B

Hello! :)
Please help me solve this + explain your answer :)

I will indeed give you Brainlst <3

Answers

Answer:

The Answer would be B. 320

Step-by-step explanation:

Answer:

hope it is helps you bro

Step-by-step explanation:

B:-510-190=320

Find the missing side length in the right triangle below.

Answers

Answer:

69

Step-by-step explanation:

area of rhombus is 60m sq.if its perimeter is 40 m sq. find its altitude​

Answers

Answer:

Step-by-step explanation:

Para meter of rhombus is equals 40 m

So one side of rhombus is equal to 10 m

Now

Area of rhombus is equals to half into base into altitude

1/2*10*altitude=84

Altitude = 16.8m

A and B are sets of real numbers defined as follows.A= {z│z > 4}B= {z│z ≤ 9}Write A U B and A ∩ B using interval notation. If the set is empty, write Ø

Answers

Answer:

 [tex]AnB=(5,6,7,8,9)[/tex]

[tex](AUB)=(5,\infty) U (-\infty,9)[/tex]

Step-by-step explanation:

From the question we are told that

A= {z│z > 4}

B= {z│z ≤ 9}

Generally A&B are assumed to be really integers

therefore

A={5,6,7,8,.....}={z│z > 4}

B=(9,8,7,6.....)={z│z ≤ 9}

a)For [tex]AnB[/tex]

Mathematically the [tex]AnB[/tex] is given as

[tex]AnB[/tex]=[tex]A=(5,6,7,8,9,10......) n B=(9,8,7,6,5,4,3,2,1......)[/tex]

[tex]AnB[/tex]=(5,6,7,8,9)

Therefore the intercept [tex]AnB[/tex]  is Given as

[tex]AnB=(5,6,7,8,9)[/tex]

b) for [tex]AuB[/tex]

Mathematically the [tex]AuB[/tex] is given as

[tex]AuB[/tex]=[tex]A=(5,6,7,8,9,10......) U B=(9,8,7,6,5,4,3,2,1......)[/tex]

[tex]AuB[/tex]= [tex](5,\infty) U (-\infty,9)[/tex]

Therefore the union [tex]AuB[/tex] i given as

[tex]AuB[/tex]= [tex](5,\infty) U (-\infty,9)[/tex]

Can someone help me please, thank you to everyone who does!

Answers

Answer:kk

Step-by-step explanation:

Find the value of N
9 : 10 = 54 : N

Answers

Answer:

I think Value of N is 60

Step-by-step explanation:

because 9 ×6 =54

therefore, 10×6=60

hope its correct and hope ti helps..

3/4 divided by 1/2

Step by step explanation

Answers

Answer:

1.5

Step-by-step explanation:

When we divide two fractions, such as 3/4 ÷ 1/2, we flip the second fraction and then we simply multiply the numerators with each other and the denominator with each other.

We also simplify the answers to fraction problems whenever possible.

Answer: 3/2 or 1 and 1/2

Step-by-step explanation: Remember that dividing by a fraction

is the same thing as multiplying by the reciprocal of the fraction.

The reciprocal of a fraction is just that fraction flipped.

So 3/4 ÷ 1/2 can be rewritten as 3/4 × 2/1.

Before multiplying however, notice that we

can cross-cancel the 2 and 4 to get 1 and 2.

Finally, multiplying across the numerators and

across the denominators, we have 3/2 or 1 and 1/2.

tan²Ф+sec²Ф=3


can someone solve this by finding all answers as the nearest whole degree

Answers

Recall that

tan²(x) + 1 = sec²(x)

for all x ≠ (2n + 1) 90°, where n is any integer. (That is, whenever x isn't an angle that is an odd multiple of 90°.)

Then

tan²(Φ) + sec²(Φ) = 3

tan²(Φ) + (tan²(Φ) + 1) = 3

2 tan²(Φ) + 1 = 3

2 tan²(Φ) = 2

tan²(Φ) = 1

tan(Φ) = ±√1

tan(Φ) = 1   or   tan(Φ) = -1

Φ = tan⁻¹(1) + n 180°   or   Φ = tan⁻¹(-1) + n 180°

Φ = 45° + n 180°   or   Φ = -45° + n 180°

The first family of solution is the set of angles

{…, -315°, -135°, 45°, 225°, 405°, …}

and the second family is the set

{…, -405°, -225°, -45°, 135°, 315°, …}

(showing the solutions for n = -2 to n = 2)

You can condense the solution set into one family by noticing each angle is 45° plus some multiple of 90°, so that

Φ = 45° + n 90°

If you're looking for solutions in a given range, such as 0 ≤ Φ < 360°, then

Φ = 45°, 135°, 225° or 315°

if h(x)=0 then does h([tex]x^{2}[/tex])= 0
TRUE or FALSE?

Answers

Answer:

true

Step-by-step explanation:

ILL MARK U AS BRAINLIEST PLS HELP

Answers

Answer:

The third one

Step-by-step explanation:

Answer:

Answer choice number 3

Step-by-step explanation:

If you subtract 35,000-31,000=4000

If you subrtact 27,000-23,000=4000

So the planes altitude drops -4,000 Ft every one minute

Hope this helps

i will mark brainlyest plss helpp
Which table has a constant of proportionality between yyy and xxx of 0.30.30, point, 3?

Choose 1 answer:

Choose 1 answer:


(Choice A)

A

xxx yyy

666 222

121212 444

303030 101010


(Choice B)

B

xxx yyy

333 1.81.81, point, 8

777 4.24.24, point, 2

999 5.45.45, point, 4


(Choice C, Checked)

C

xxx yyy

444 1.21.21, point, 2

888 2.42.42, point, 4

131313 3.93.9

Answers

Answer:

The answer is C

Step-by-step explanation:

i also use khan

Answer:

table C

Step-by-step explanation:

each one is multiplied by .30

:)

Please help solve this. (Answer is not 80)

Answers

You were close! The answer is 70
The answer is 70 :) hope I helped

Help me please will mark you brainiest if its correct

Answers

he needs 60 more cubes.

Answer:

60 more cubes are needed

what is the slope for (4.6) and (8,4

Answers

Answer:

This is a vertical line; there is no change in the x coordinate value; and since the slope is defined to be change in y any attempt to corresponding change in x evaluate the slope would result in an attempt ot divide by zero.

Step-by-step explanation:

There your answer hope it helps.

Write an expre
sion to represent:
Four less than the quotient of a number x and 5.

Answers

Answer:

X/5 - 4

Step-by-step explanation:

What is the answer for
3days : 18hrs

Answers

Answer:

4 : 1

Step-by-step explanation:

(3 days : 18 hours) this is a ratio , where both the units must be same before simplifying.

1 day = 24 hours, 3 days = (3 × 24) hours

3 days = 72 hours

Now both the units are same, so we can easily simplify now.

72 hours : 18 hours

36 : 9 = 12 : 3

= 4 : 1 ( Answer)

The meaning of an inequality depends on the __________________of the inequality sign.

Answers

Answer:

Denpeds on the left hand side of nagetive of the inequality sign

For #4 is that the correct answer I just want to know before I submit it

Answers

The answer is 3 1/4 which is last choice
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