The diagonal of a rectangle is 13 units. One side of the rectangle is 12 units. Find the length of the shortest side of the rectangle.

Answers

Answer 1

Answer:

Diagonal of the rectangle = 13 units   c =13

side of rectangle = 12 units         a = 12

area of the rectangle = l× b

In rectangle all the corner angle is 90 degree. A diagonal of the rectangle forms two right angle.so we use Pythagoras theorem.

formula ; a²+b²=c²    a = 12 , c = 13

             12²+b² = 13²

            144 + b² = 169

            b² = 169 - 144

                =25

b   = 5 units

a  = 12 units

Step-by-step explanation:


Related Questions

Jo said 565 times 34 one half is 595111 eight fourths is she correct. If not what is the correct answer.

Answers

Answer: Incorrect, 19492.5

Step-by-step explanation:

Given

Jo said 565 times 34 one half  i.e. [tex]565\times 34\ \dfrac{1}{2}[/tex]   is [tex]595111[/tex]

Solving for a mixed fraction

[tex]\Rightarrow 565\times \dfrac{34\times 2+1}{2}\\\\\Rightarrow 565\times \dfrac{69}{2}=\dfrac{38985}{2}=19492.5[/tex]

Clearly, [tex]19492.5\neq 595111[/tex]

Thus, Jo is wrong

pls help! will mark brainliest if correct

Answers

(-2,6) should be the correct answer

Answer:

[tex]x = -2, y = 6[/tex]

Step-by-step explanation:

[tex]-x + 4 = -4x-2[/tex]

[tex]x = -2[/tex]

Plug back into either one of the equations to get y  = 6

Find all the missing sides and angles (picture attached)

Answers

Answer:

[tex]\boxed{x=73.74}[/tex]

[tex]\boxed{y=16.26}[/tex]

[tex]\boxed{z=25}[/tex]

Step-by-step explanation:

Hello there!

Algebra 1

The first thing we should find is the missing angle

Because this is a right triangle we can solve it using the Pythagorean Theorem

The Pythagorean theorem states that the sum of the two legs squared equal the hypotenuse squared

the formula... [tex]a^2+b^2=c^2[/tex] where a and b = legs and c = hypotenuse

we are given two legs so we plug in a and b and solve for c

[tex]7^2+24^2=c^2\\7^2=49\\24^2=576\\576+49=625\\625=c^2\\\sqrt{c^2} =c\\\sqrt{625} =25\\c=25[/tex]

so we can conclude that the missing side length ( or z) equals 25

now to solve for the angles

Trigonometry

We can solve for y using sin

sin = opposite side divided by the hypotenuse

the opposite of y is 7 and the hypotenuse is 25

so we set up an equation [tex]sin(y)=\frac{7}{25}[/tex]

now we solve for y

[tex]\frac{7}{28} =.28\\arcsin(y)=y\\arcsin(.28)=16.26020471[/tex]

then we round to the nearest hundredth

so we can conclude that angle labeled y = 16.26

basic geometry

Remember all of the angles in a triangle add up to equal 180 so we can find x by subtract the known angles from 180

180 - 90 - 16.26 = 73.74 so we can conclude that x = 73.74

It takes Carol 30 minutes to drive to work using two roads. She drives 24 mph on a small road for hour. Then she drives 56 mph on a highway for hour. How far does Carol travel to work?

Answers

Complete question :

It takes Carol 30 minutes to drive to work using two roads. She drives 24 mph on a small road 1/2 for hour. Then she drives 56 mph on a highway for 1/4 hour. How far does Carol travel to work?

Answer:

26 miles

Step-by-step explanation:

The distance traveled is given by :

Distance = speed * time

Distance covered on small road :

24 mph * 1/2 hours = 12 miles

Distance covered in highway :

56 mph * 1/4 hours = 14 miles

Total miles traveled = 12 + 14 = 26 miles

Multiply. Reduce if possible, if you can simplify, what is the GCF you used ? what is 3/7 x 2/4

Answers

Answer:

3/14

Step-by-step explanation:

A picture is 5 inches wide and 8 inches tall:

A rectangle is shown. The length of the rectangle is labeled 5 inches. The width of the rectangle is labeled 8 inches.

A photographer wants to use a scale factor of 2.5 to enlarge a picture. What will the area of the picture be after it is enlarged?

Answers

Answer:

area = 250 in²

Step-by-step explanation:

5 x 2.5 = 12.5 in

8 x 2.5 = 20 in

area = 20 x 12.5 = 250 in²

A cat can eat 1/2 of a bag of food in 3/4 of a month. How much food can the cat eat in 1 month

Answers

Answer:

the cat can eat 1 1/4 bag of cat food n 1 month

Step-by-step explanation:

brainliest plz

Please help me with this

Answers

Answer:

i cant see it...

Step-by-step explanation:

...

Tina realizes that she needs to figure out the answer to the question, "How many groups of 1/12 are in 2?"

Answers

Answer:

24

Step-by-step explanation:

To find how many 1/12 are in 2 divide 2 by 1/12

2/(1/12) = 2 x 12 = 24

What is the value of X?

A. 6
B. 6√3
C. 12
D. 12√3

Answers

Answer:

B

Step-by-step explanation:

sin60°=x/12

⇒x= 6√3

2x2 what is the answer

Answers

Answer:

4!

Step-by-step explanation:

Brian ate 2/3 of a pizza. His friend, Joseph ate 1/4 of what was left. How much pizza did joseph eat?

Answers

Answer:

[tex]\frac{1}{12}[/tex]

Step-by-step explanation:

[tex]\frac{2}{3}[/tex] = [tex]\frac{8}{12}[/tex]

[tex]\frac{12}{12}[/tex] - [tex]\frac{8}{12}[/tex] = [tex]\frac{4}{12}[/tex]

[tex]\frac{4}{12}[/tex] * [tex]\frac{1}{4}[/tex] = [tex]\frac{4}{48}[/tex] = [tex]\frac{1}{12}[/tex]

Mrs. Jones rented a truck. Easy math problem. Only answer if you know how to do it. Help needed ASAP

Answers

Answer:

80%

Step-by-step explanation:

150/100*20=$30

150-30=120

120/150=0.8=80%

Simply the expression 6x + 1 - ( 3x -1 )

Answers

Answer:

3x+2

Step-by-step explanation:

distribute "-" into 3x-1 giving you -3x+1, combine like terms on both sides including 6x-3x and you get 3x+2

describe what congruent figures and similar figures have in common

Answers

Answer:

Congruent figures have the same measurements in angles (degrees) and sides (units).

Similar figures are figures that have the same general shape and don't necessarily have to have the same size or measurements.

Something they have in common are corresponding angles and corresponding sides.


Martin needs to ship a box that weighs 12,000 grams. How should be move the decimal point to convert this number
to kilograms?
O 3 places to the left
O 3 places to the right
O 2 places to the left
O 2 places to the right

Answers

3 places to the left

(1 gram=0.001 kilograms)

Help plz ASAP nowwwwwwww

Answers

Answer:

y = -3/4x + 5/4

Step-by-step explanation:

Points: (7, -4) and ( -1, 2)

Slope:

m=(y2-y1)/(x2-x1)

m=(2+4)/(-1-7)

m=6/(-8)

m= -3/4

Slope-intercept:

y - y1 = m(x - x1)

y + 4 = -3/4(x - 7)

y + 4 = -3/4x + 21/4

y = -3/4x + 5/4

Answer:

y = -3/4x + 5/4

Step-by-step explanation:

Hope this helps

What is the side lengths, in inches, of a cube with a volume of
1
1 cubic inch?

Answers

Answer:

1 in3 (3 is above inches)

Step-by-step explanation:

can I please have brainliest? :)

I hope someone knows.

Answers

Answer:

x = 9

Step-by-step explanation:

This is a 45-45-90 right triangle so the sides are in the ratio x: x: [tex]x\sqrt{2}[/tex]

Simplify The following Expression:

45 + (x - 12)​

Answers

Answer:

The answer is x + 33

Step-by-step explanation:

1) Remove parentheses.

[tex]45 + x - 12[/tex]

2) Collect like terms.

[tex]x + (45 - 12)[/tex]

3) Simplify.

[tex]x + 33[/tex]

Therefor, the answer is x + 33.

Answer:

x+33 is your answer

Step-by-step explanation:

45 + (x - 12)

45+x-12

x+45-12

x+33

Sam borrows from the bank $12,000 to buy a car paying in simple interest $ 2,844 per year. Sam paid the loan in 3 years, what is the annual interest rate on the loan?

Answers

Answer:

3,468

Step-by-step explanation:

i multiplied 2,844 by 3 and got 8,532 i then subtracted that from 12,000 and got 3,468

A television costs $258.98. The sales tax rate is 8.5% . How much will. It cost to buy the television

Answers

Answer:

The cost is $280.99

Step-by-step explanation: First do 258.98 divided by 100 which will then equal 2.5898 times 8.5 equal 22.0133 which will then be rounded to 22.01 and then you add 258.98 + 22.01 and that will equal 280.99

Parallel lines and tranvsveral

Answers

Answer:

angle 6=54*

Step-by-step explanation:

Transversal lines/alternate angles theorem

After tax and tip,the bill totaled $63.00. What was each persons share? Show your work

Answers

How many people we’re dining together?

Please help! 18/20. Will give brainliest! Spam answers will not be tolerated!
Factor. [tex]2x^5-7x^3-4x[/tex]

Answers

[tex]{ \sf{ \: factorise \: \: \: { \underline{ \green{2 {x}^{5} - 7 {x}^{3} - 4x}}}}} \\ \\ { \dashrightarrow{ \blue{ \sf{taking \: x \: common}}}}[/tex]

[tex]{ \leadsto{ \sf{ \green{ \:x(2 {x}^{4} - 7 {x}^{2} - 4)}}}} \\ \\ { \dashrightarrow{ \sf{ \blue{let \: {x}^{2} be \: equal \: to \: a}}}} \\ \\ { \leadsto{ \sf{ \green{ \: x( 2{a}^{2} - 7a - 4)}}}}[/tex]

[tex]{ \leadsto{ \sf{ \green{x(2 {a}^{2} - (8a \: - a) - 4}}}} \\ \\ { \leadsto{ \sf{ \green{x(2 {a}^{2} - 8a + a - 4)}}}} \\ \\ { \leadsto{ \sf{ \green{x(2a(a - 4) + 1(a - 4))}}}}[/tex]

[tex]{ \leadsto{ \sf{ \green{x(2a + 1)(a - 4)}}}} \\ \\ { \sf{ \: now \: putting \: the \: value \: of \: a}}[/tex]

[tex]{ \leadsto{ \green{ \sf{x(2 {x}^{2} + 1)( {x}^{2} - 4)}}}} \\ \\ { \leadsto{ \green{ \sf{ x( {x}^{2} + 1)( {x}^{2} - {2}^{2} )}}}} \\ \\ { \leadsto{ \green{ \sf{x( {x}^{2} + 1)(x + 2)(x - 2)}}}}[/tex]

Decrease R1400 in the Ratio 7:3​

Answers

Answer:

Step-by-step explanation:

It's hard to tell what you mean. I'm going to assume you mean that you want what is left to be 3/7 less.

1400 - 3/7 1400 = 1400 - 600 = 800

The value of R1400 when decreased by the ratio 7:3 is  R600.

What is the value of R1400 when it is decreased?

Ratio expresses the relationship between two or more numbers. It shows the number of times that one value is contained in another value.

R1400 X 3/7 = R600

To learn more about ratios, please check: https://brainly.com/question/25927869

find the value of given expression

=》
[tex]32 + 32 \div 32[/tex]

Answers

Answer:

32+32÷32=32+1=33 is your answer


There are 4 consecutive even integers that add up to 268. Which integers are they?

Answers

Answer:

4n+ 12 = -268, or 4n = -280, or n = -70. This would imply that the four consecutive ODD integers are -70, -68, -66, -64.

Step-by-step explanation:

Hope this helps         :)

Write the third missing congruent statement that will allow us to prove the triangles congruent by SAS.

Answers

Answer:

LOOK AT YOUR ANSWER IN PICTURE

need help so bad pleasss

Answers

Answer:

y=2/3x-6

Step-by-step explanation:

i hope this helps :)

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