Mathematics High School

The perimeter of ABCD is 26 cm

The area of PQRS is 45 cm(squares)
Find the length of AB

The Perimeter Of ABCD Is 26 Cm The Area Of PQRS Is 45 Cm(squares)Find The Length Of AB

Answers

Answer 1
Area of rectangle= LxW
45cm2 divided by 10cm = 4.5cm
B-C= 4.5cm
Perimeter of rectangle= L+W x2
26/2 =13cm -4.5= 8.5cm
Answer 2
QR = 10cm and the area of that rectangle is 45cmsq so to work out PQ you do 45/10 = 4.5cm
PQ= 4.5cm

As BC = PQ they both equal 4.5cm

and the perimeter of ABCD is 26cm you so 26- (4.5x2) = 17
and 17/2 = 8.5cm

AB is 8.5cm

Related Questions

After a company celebrated its ten year anniversary, the president of the company wanted to know how long employees have been with the company. Human resources provided the president with the box plot below.



Using the box plot, determine the best measures of the data.

The best measure of center is the (blank)
, and the best measure of variability is the (blank)
.

The number that best summarizes the data is (blank)
years of service.

The number that best describes how the data varies is (blank)
years of service.

Answers

Step-by-step explanation:

The measures of variability is blank, the number that best summarizes the data is blank, and the number that best describes how the data varies is blank

Please send the box plot, I can solve it then but there is not enough info right here. Sorry!

I literally do not understand this at all. PLEASE HELP ASAP

Answers

I think the answer is 6
The answer is 4.
Plug in the (-5) in the x.

Find the volume of the triangular prism below 5mm 12mm 3mm

Answers

Answer: 90 mm cubed

Step-by-step explanation:

Formula = (L*W*H) / 2

5 * 12 * 3 = 60 * 3 = 180

180 / 2 = 90

Kelly's team won 85% of the games they played in a season. The team lost 12 games. How many games did Kelly's team win in the season?

Answers

Answer:

68 games

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Games won = 85%

Game lost = 12

Here, 100% - 85% = 12

15% = 12

or 1% = 0.8

So, total games played (100%) = 80 games

Now, number of games won = Total games - Games lost

= 80 - 12

= 68 games

Hence, Kelly's team wins 68 games in the season.

12. The variable in the expression 9x + 63 is ? * A. =
B. 9
C. x
D. 36​

Answers

Answer:

C. x is the variable

Step-by-step explanation:

easy...

C. X is the variable expression

A multiple choice test contains 10 questions with 5 answer choices. What is the probability of correctly answering 5 questions if you guess randomly on each question?

Answers

Answer:

25%

Step-by-step explanation:

So first, 5 answers is 50% of 10 questions

Then, if these problems have only 2 choices then 50%/2=25%


Which value of x makes the inequality true

Answers

Answer:

the answer is D

you would end up with 14% and 14 is in between 12 ns 18

Step-by-step explanation:

I NEED HELP PLSSS HELP SHOW WORK IF YOU KNOW

Answers

PLEASE SHOW THE PROBLEM WE CANT SEE

A game is played with the following rules. Three ordinary coins are flipped and count as a single "turn" in the game.
Each coin could land on heads or tails. After their turn a player is given a certain number of points depending on the
outcome.
•If the result is 3 heads, the player receives +4 points.
• If the result is 2 heads, the player receives +2 points.
• If the result is anything else, the player receives -1 point.
What is the expected value of the number of points a player will receive after a turn?

Answers

Answer:   0.75

=======================================================

Explanation:

H = heads

T = tails

Something like HHT means we get two heads in a row at first, followed by one tail. The order matters. Since there are 2 sides per coin, and 3 coins, this leads to 2^3 = 8 different possible ways to flip three coins.

Those 8 outcomes are:

HHHHHTHTHHTTTHHTHTTTHTTT

Again the order matters.

------------

Now let's define the following events

A = event of getting three headsB = event of getting exactly two headsC = event of getting 1 head, or getting 0 heads

There's only one way to get three heads, and that's HHH. So P(A) = 1/8.

There are three ways to get exactly two heads. Those three ways are: HHT, HTH, THH. This means P(B) = 3/8.

From those two probabilities, we then know that P(C) = 4/8 = 1/2 since there are 1+3 = 4 ways to get two or more heads, leaving 8-4 = 4 ways to get the other situations.

Now let's define function notation V(A) to mean "the net value of event A occurring". It's the number of points you receive if event A happens. We are given the following info:

V(A) = 4V(B) = 2V(C) = -1

From here, multiply the probability values with their corresponding net values

P(A)*V(A) = (1/8)*(4) = 0.5P(B)*V(B) = (3/8)*(2) = 0.75P(C)*V(C) = (1/2)*(-1) = -0.5

Finally, add up those results to get the expected value: 0.5+0.75+(-0.5) = 0.75

Each time a turn happens, we expect on average to get 0.75 points

Imagine a scenario where you play the game 10,000 times. If you record the result of each turn and then compute the arithmetic mean, you should get somewhere close to 0.75; it likely wont be 0.75 exactly due to the nature of theoretical probability and empirical probability not being perfectly aligned. However, due to the law of large numbers, the two should be very close when you do a large number of trials.

Because we're dealing with averages, it is possible to get a decimal value as the answer even though the point values of events A,B,C are integers.

riverview soccer team won 10 games and drawn 2 out of 18 games so far this season. what is the probability they will lose their next game

Answers

Dababy ibiviffdyvbif

hey guys i really need help rn bc i’m in a rush to get this done. i’m begging u if u could help me with this question an a few others i’ll mark brainiest. just pls help!

Answers

Answer:

9 1/2

Step-by-step explanation:

=2*3+3 1/2

=6+3+1/2

=9 1/2

Yo guys help pls.pls pls

Answers

Answer:

A rectangle is a parallelogram because parallelograms have to have exactly 2 pairs of parallel sides. A rectangle has 2 parallel sides, therefore it is considered a parallelogram.

Step-by-step explanation:

A submarine started 30 feet below the surface of the water. It is now 10 feet below the surface. What integer represents the change in depth?

Answers

Answer:

-20 feet

Step-by-step explanation:

change in depth = number of feet below the surface + number of depth on the surface

Because the submarine is below surface, a value of -30 would be given

-30 + 10 = -20 feet

What is the slope of the line passing through the points (-5, -4) and (-1, 6)?
A.2/5
B.-5/2
C.-2/5
D.5/2

Answers

Answer:

5/2

Step-by-step explanation:

Select the correct answer

Answers

Answer:

x = 95°

y = 147°

z = 128°

Step-by-step explanation:

z = 180 - 52 = 128°

x: first find the remaining angle in the big triangle, 180 - (45 + 50) = 85°

x = 180 - 85 = 95°

y: first find the remaining angle in the small triangle, 180 - (95 + 52) = 33°

y = 180 - 33 = 147°

Draw a line to match each fraction, decimal, or percent in Column A to the equivalent value in Column B.

A B
40/50 1 3/4
13% 1 11/20
1.75 0.13
155% 80%

Answers

Answer:

This is the answer

Step-by-step explanation:

40/50 - 80%

13% - 0.13

1.75 - 1 3/4

155% - 1 11/20

Hope this helps

7)
A rectangular container is 40 cm by 30 cm by 25 cm. It is filled with
3
water up to 5
of its height. Half of the water is then poured out. How
much water is left in the container? Give your answer in litres.​

Answers

Answer: 9 L

Step-by-step explanation:

Given

The dimension of the rectangular container is [tex]40\times 30\times 25\ cm^3[/tex]

It is filled with [tex]\frac{3}{5}[/tex] of the height

Water present in the container

[tex]\Rightarrow 40\times 30\times 25\times \dfrac{3}{5}\\\\\Rightarrow 18000\ cm^3[/tex]

Also, [tex]1\ L=1000\ cm^3[/tex]

[tex]\therefore 18,000\ cm^3=18\ L[/tex]

Now, half of the water is poured out

So, half is left

[tex]\Rightarrow \dfrac{18}{2}=9\ L[/tex]

Thus, 9 L of water is left in the container

help needed asap will give brainliest

Answers

Answer:

the corect answer for this question is (-x,y)


Please help worth 30 points it’s geometry.

I have a grade check tmr and I have an F in geometry please help!!!

Answers

That would be a 45 degree angle

Answer:

everything is in the photo

Find the inverse of the following function.
f(x) = + 12
OA (1) = x
= 1 – 12
OB. (v) = 12 - Foto
oc. 5- (6) = x3 – 12
OD. 1-() =
= 1 + 12

Answers

Answer:

c

Step-by-step explanation:

exchange y and x

then find y

enter the value for x that makes the equation 4x-2+3x-7 true

​

Answers

Answer:

I think the answer is

[tex]x = \frac{9}{7} [/tex]

Step-by-step explanation:

Reason :

[tex]4x - 2 + 3x - 7 = 0 \\ collect \: like \: terms \\ 4x + 3x - 7 - 2 = 0 \\ 7x - 9 = 0 \\ 7x = 9 \\ x = \frac{9}{7} [/tex]

Therefore

[tex]x = \frac{9}{7} [/tex]

A rectangular garden has an area of 84 square feet and a length of 7 feet. What is the width of the garden?

Answers

Answer:

12 ft

Step-by-step explanation:

Given data

Area= 84 ft^2

Length= 7ft

The expression for the area is

Area= L*W

substitute

84=7*W

W= 84/7

W= 12ft

Hence the width is 12 ft

Answer:12ft

Step-by-step explanation:

Find the area of this circle.
Use 3.14 to approximate
A = ar2
20 ft

Answers

Answer:

314

Step-by-step explanation:

Answer:

314

Step-by-step explanation:

R= half of d

d= 20

20/2= 10

r=10

Plug into formula:

3.14(10)^2

= 314

The distance between two cities is 4000 kilometers. One kilometer is 6 10 millimeters. What is the distance between the two cities in millimeters?

Answers

Answer: 4,000,000,000 mm

Step-by-step explanation:

One kilometer is 10^6 or 1000000 millimeters

So 4000x1000000

4x1 is 4

Annex the zeros. There are 9 zeros.

= 4,000,000,000 millimeters

The distance between the two cities in millimetres of 4,000,000,000 mm

What is a distance?

Distance is defined as the length between the two points just like in the question it is the length between the two cities.

We know that:-

One kilometer is 10^6 or 1000000 millimeters

So 4000x1000000

4x1 is 4

Annex the zeros. There are 9 zeros.

= 4,000,000,000 millimeters

Therefore the distance between the two cities in millimetres of 4,000,000,000 mm

To know more about distance follow

https://brainly.com/question/2854969

#SPJ2

Jennifer buys a desk on sale for $478.60. If the regular price was $684.00, what is the percentage of discount?

Answers

Answer:

30%

Step-by-step explanation:

Find the percent discount by dividing the change in the price by the original price:

(684 - 478.6) / 684

205.4 / 684

= 0.3

So, the percent discount was approximately 30%

i'll give you a brainliest for the correct answer lyy

Answers

Answer:

(-4,-5)

Step-by-step explanation:

[tex]x+4y=-24\\ x=-24-4y[/tex]

[tex]x=-24-4y\\ 4(-24-4y)-2y=-6\\ -96-16y-2=-6\\ 96+16+2=6\\ 18y=6-96\\ 18y=-90\\ y=\frac{-90}{18} \\ y=-5[/tex]

[tex]x=-24-4(-5)\\ =-24+20\\ =-4[/tex]

ASAPPPP
18. The steps used to solve the equation 2x + 8 = 20 for x are shown below.
2x + 8 = 20
Step I: 2x = 12
Step II: x = 6
Which property makes Step I true?
A. Division property of equality
B. Reflexive property of equality
C. Subtraction property of equality
D. Symmetric property of equality

Answers

Answer:

C. Subtraction property of equality

Step-by-step explanation:

I think the answer is B

mel randomly selects a coin 150 times of which she selects a dime 30 times

Answers

Answer:

Random numbers for experimental probability. This means that if we roll a die 60 times we can expect each of the six faces to come up.

hope this helps

have a good day :)

Step-by-step explanation:

Anyone know how to do this? If so PLZ HELP ASAP

Answers

Answer:

20

Step-by-step explanation:

Answer:

3626 i hope this is correct sorry if it is not

Step-by-step explanation:

This is a pic of my question.. ​

Answers

Answer:

The answer is c

Step-by-step explanation:

5x+3y=19

multiply x 2: 10x+6y=38

2x-4y=-8

multiply by -5: -10x+20y=40

now you can add the two equations:

                    10x+6y=38

                    -10x+20y=40

add equations 0x+26y=78

                               Y=3

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