The width of a triangle of 7 feet longer than its length. Find the dimensions of the rectangle such that the perimeter of the rectangle is 162 feet

Answers

Answer 1

Answer:

Length = 37 feets

Width = 44 feets

Step-by-step explanation:

Given that :

Length = l

Width, w = 7 + l

Perimeter , P of rectangle = 162

Recall:

Perimeter of a rectangle = 2(l + w)

P = 2(l + w)

162 = 2(l + (7 + l))

162 = 2(l + 7 + l)

162 = 2(7 + 2l)

162 = 14 + 4l

162 - 14 = 4l

148 = 4l

l = 148 / 4

l = 37 feets

Width = l + 7

Hence,

Width = 37 + 7 = 44 feets


Related Questions

Find the area. Simplify your answer

Answers

Answer:

man you still have to use IXL

Step-by-step explanation:

HELP PLS!!!

Consider the function f(x). Select all of the following that include a horizontal compression of f(x).
A) 2f(x)
B) f(3x)
C) -f(x)+1
D) f(0.4x) - 1
E) f(6x) +9
F) -f(0.12x)

Answers

Answer: B, E

Step-by-step explanation:

7) The ratio of boys to girls in a class is 2:3. If there are 18 boys in the class, how
many girls are in that class?

Answers

Answer:

27

Step-by-step explanation:

Boys to girls is 2:3

and there are 18 boys so that means the 2 in 2:3 is actually 18

and 2 x 9 = 18 , so you would need to also multiply 3 by 9.

3 x 9 = 27

18:27

there are 27 girls

A triangle has sides of lengths 12, 14, and 19. Is it a right triangle? Explain.
yes; 122 + 142 192
O no; 122 + 142
192
O no: 122 + 142 + 192
O yes: 122 + 142 =
+ 142 = 192

Answers

Answer:

It is C

Step-by-step explanation:

this is easy math for me

Solve the Simultaneous Equations: a - b = 3​

Answers

Answer:

it could be 4-1=3 but i would do 10-7=3

Step-by-step explanation:

A cooler shape of a rectangular prism. What is the volume of the cooler? Round to the nearest tenth if necessary.

Answers

Answer:

Volume of the cooler = 2,772 in³

Step-by-step explanation:

Volume of the cooler = length × width × height

Length = 22 in

Width = 12 in

Height = 10 1/2 in

= 21/2

= 10.5 in

Volume of the cooler = length × width × height

= 22 in × 12 in × 10.5 in

= 2,772 in³

Volume of the cooler = 2,772 in³

PQR has vertices at P(-10, 8), Q(0, -6),
and R(8, 7). If PQR is dilated by a scale
factor of 3/4, what is the perimeter of
P'Q'R'?
If necessary, round your answer to the
nearest hundredth. *

Answers

Answer:

please apply the formula of distance

l think but not sure

2
A pack of 5 of board games costs $75.
If there is a direct proportion between the price (y) and number of board games (2), which equation represents the
situation?
y = 75.2
By = 52
C y = 2
Dy = 152

Answers

Answer:

one board game cost 15 dollars

75/5=15

15y

y = number of board games and 15= the price of each board game

so to calculate any number of board games bought just input the number of board games bought for y in the expression 15y and you will get the price.

Step-by-step explanation:

Solve.
a-5/a+4=5/4

a=0
a=-1
a=-9
a=-40

Answers

Answer:

-1

Step-by-step explanation:

hzhsuxbsjsisnduxidnwhdicjdbe

Find the median and mean of the data set below:
9,10,38,0,26,35,8

Answers

Answer:

Median = 10

Mean = 18

Step-by-step explanation:

1) Median equals the middle number of a set.

To find median, place the numbers from least to greatest. So that’ll turn to be:

0, 8, 9, 10, 26, 35, 38

The middle number is 10.

2) Mean is the average of all the numbers.

To find mean, add all the numbers together. So 0+8+9+10+26+35+38 = 126

Then, divide the sum by the amount of numbers you added. We added a total of 7 numbers to get 126. 126/7 = 18. The average is 18.

Answer:

The median is 10 and the mean is 18 . Hope it help

Step-by-step explanation:

The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest

My brainy brother and sister added their ages together and got 15. When they multiplied their ages together, they got 54. How old is the older one between the two of them?

Answers

Given:

Sum of ages of brother and sister = 15

Product of their ages = 54

To find:

How old is the older one between the two of them?

Solution:

Let x be the age of brother and y be the age of sister.

Sum of ages of brother and sister = 15

[tex]x+y=15[/tex]

[tex]x=15-y[/tex]                ...(i)

Product of their ages = 54

[tex]xy=54[/tex]

[tex](15-y)y=54[/tex]                [Using (i)]

[tex]15y-y^2=54[/tex]

[tex]0=54-15y+y^2[/tex]

Splitting the middle term, we get

[tex]54-15y+y^2=0[/tex]

[tex]54-9y-6y+y^2=0[/tex]

[tex]9(6-y)-y(6-y)=0[/tex]

[tex](6-y)(9-y)=0[/tex]

Using zero product property, we get

[tex](6-y)=0\text{ and }(9-y)=0[/tex]

[tex]y=6\text{ and }y=9[/tex]

If [tex]y=6[/tex], then using (i), we get

[tex]x=15-6[/tex]

[tex]x=9[/tex]

If [tex]y=9[/tex], then using (i), we get

[tex]x=15-9[/tex]

[tex]x=6[/tex]

Therefore, the age of older one is 9, the age of younger one is 6 and the difference between their ages is 3.

A man bought some story books for 5 Ghana Cedis each from a bookshop
15 of the books got missing. He then sold the rest at 8 Ghana cedis each and made a profit of 90 Ghana cedis. How many books did he buy?

Answers

Answer:

70

Step-by-step explanation:

Let the no of books bought be x

The cost price of 1 book is 5x

No of the missing book is 15

The remaining book is x-15

The selling price of 1 book is 87

Selling price of (x-15) book is 87

Hence the number of books can be calculated as follows

8(x-15)-5x= 90

8x-120-5x= 90

8x-5x= 90+120

3x= 210

x= 210/3

= 70

Hence the number of books bought is 70

marked price rs 800 .
allow 15% discount .
profit is Rs 125.
find cp​

Answers

Answer:

143.75

Step-by-step explanation:

this is a correct answer

I need help cand someone help me find this answer ​

Answers

Answer:

725.7 m²

Step-by-step explanation:

A=2πrh

r=16 1/2 ÷ 2 = 8 1/4

A= 2π(8.25)(14)=725.7

PLEAASE HEELP! Will mark brainly!!!

Answers

Please repost... picture is all black

What is the
range of the function on the graph?

Answers

All real numbers.....

solve the following inequality algebraically

Answers

Answer is going to be
-7

In trapezoid ABCD, the measure of

Answers

Answer:

Step-by-step explanation:

Find the mean, median, and interquartile for the data set below.
17, 23, 8,5,9,16, 22, 11, 13, 15, 17, 18

Answers

Answer:

The Mean 14.5 and the Median is 15

Step-by-step explanation:

For the Mean you just add all the numbers up and divide on how many you have. And the Median the middle

Answer:

Below in bold.

Step-by-step explanation:

First arrange in ascending order:

5 8 9 11 13 15 16 17 17 18 22 23

Median = mean of the middle 2 values = (15+16)/2 = 15.5.

Mean = Sum of all the values / 12 = 174/12 = 14.5.

Interquartile range =  upper quartile - lower quartile = 17 - 11 = 6.

Can someone help me with this?

Answers

Answer:

d and e

Step-by-step explanation:

A piece of string is 325 centimeters long. You need the string to be 1 and 1 and 4 meters long. How many centimeters should you cut off?

Answers

Here's link[tex]^{}[/tex] to the answer:

bit.[tex]^{}[/tex]ly/3gVQKw3

A computer program randomly selects a month of the year. What is the sample space for this experiment?

Answers

Answer:

The sample space of a random experiment is the collection of all possible outcomes. An event associated with a random experiment is a subset of the sample space. The probability of any outcome is a number between 0 and 1.

Step-by-step explanation:

According to this diagram, what is tan 62°?

A 17/15
B 8/17
C 15/17
D 8/15
E 17/8
F 15/8

Answers

I believe it would 15/8.

Tangent is Opposite/Adjacent so 15/8
Hope this helps! :)

Help please please help me I really really need help

Answers

Answer:

(-3, -2)

Step-by-step explanation:

To find the solution of two functions, you need to know at which x and y value they are equal. So solve for x and y when 1/3x - 1 = 2x + 4

1/3x - 1 = 2x + 4

First, subtract 2x from both sides.

-5/3x - 1 = 4

Add one to both sides.

-5/3x = 5

Multiply both sides by the reciprocal of -5/3 (3/-5)

x = -3

Then, substitute x into one of the equations to get y.

1/3(-3) - 1

-1 - 1 = -2

So drag the dot to the point (-3, -2)

Find the mean of the picture below?

Answers

The believe mean is four

Triangle ABC has vertices A(-2,0), B(2,5), C(3, 1). The reflection of the image of triangle ABC is triangle A'B'C' with vertices A(-2,0), B12, -5), C73.
-1). What is a rule that describes the reflection?

Answers

Answer: Reflection about x-axis

Step-by-step explanation:

Given

Initially, vertices are [tex]A(-2,0), B(2,5),C(3,1)[/tex]

After reflection they become [tex]A(-2,0),B(2,-5),C(3,-1)[/tex]

It is clear that the x coordinate remains unchanged and the y coordinate changes its sign. It occurs when reflection is done about the x-axis.

For example, when (a,b) is reflected about the x-axis, it becomes (a,-b).

So, here reflection is being done about the x-axis.

 

Please help will mark Branliest!! Determine if the problem is a permutation or a combination. Then find the number of possibilities. image attached. This is a combination/permutation and the answer ___.

Answers

Answer:

It is a permutation problem. There are 2193360 possibilities of selecting 4 candidates from 40 applicants when order of selection is considered.

Step-by-step explanation:

In this case, the company will hire four different applicants from a group of 40 people for 4 different jobs. In this case, we need to consider the effect of order in the number of possibilities. Hence, we must use the permutation formula:

[tex]_{n} P_{k} = \frac{n!}{(n-k)!}[/tex] (1)

Where:

[tex]n[/tex] - Total of applicants.

[tex]k[/tex] - Selected applicants.

If we know that [tex]n = 40[/tex] and [tex]k = 4[/tex], then the number of possibilities is:

[tex]_{40}P_{4} = \frac{40!}{(40-4)!}[/tex]

[tex]_{40}P_{4} = 40\times 39 \times 38 \times 37[/tex]

[tex]_{40}P_{4} = 2193360[/tex]

There are 2193360 possibilities of selecting 4 candidates from 40 applicants when order of selection is considered.

How would you solve y=3/4x+9

Answers

Answer: i took a screen shot of the answer hope this helped

plz make brainly

Step-by-step explanation:

PLSS HELP: Find the value of w

Answers

Answer:

[tex] \frac{9}{w} = \frac{15}{5} \\ w = 45 \div 15 = 3[/tex]

The scatter plot shows the first-year income for 15 people, based on the number of years of school they each had after high school. A line of best fit
was drawn through the data. The equation for the line is y = 8x + 15.
Which statement describes the meaning of the y-intercept for the line of best fit?

Answers

Answer:

C.

Step-by-step explanation:

the answer is C. because if you notice how on the scattered graph the numbers go from 0-9 and 0-90. on C. it says 0years which will have an income of 8,000 dollars. divide and multiply and then switch flip.

Answer:

c

Step-by-step explanation:

Other Questions
Find the length of the third side. If necessary, round to the nearest tenth. Which mind-body medicine technique is considered to be the most popular and most widely accepted among health care providers?A. Progressive muscle relaxationB. ReflexologyC. YogaD. Body awareness has anyone done the science project: modeling waves/properties of light?could you show me the format you used? Please help me with this. NO LINKS. Angelica Baggins had considered not attending the party, but curiosity got the better of her. When she arrived, Bilbo himself presented her with a gift, an intricate gold bracelet. Angelica nodded haughtily at Bilbo and strolled into the party without so much as a "thank you." While the other hobbits praised Bilbos lavish gifts, Angelica seethed inwardly. The bracelet was insignificant when compared with the inheritance that Bilbo planned to bestow on Frodo. Angelica deserved moremuch more.From what point of view is this story told?BilbosFrodosGandalfsAngelicasANSWER IS D Angelicas Answer if you want to be worshiped 6. What did the British government do to Gandhi for organizing the protests?a. Tortured himb. Gave him a finec. Forced him not to eatd. Put him in prisone. Nothing7. Where did Gandhi attend university?a. United Statesb. Spainc. Franced. Egypte. England8. What did Gandhi do to continue protesting while in prison?a. He organized bombings of government buildingsb. He fastedc. He asked the people to riot and break him out of prisond. All of the above+e. None of the above As Darius is skiing down a ski slope, Jorge is on the chairlift on the same slope. The chair lift has stopped. Darius stops directly below Jorge and attempts to toss a disposable camera up to him. If the camera is thrown with an initial velocity of 35 feet per second, the equation for the height of the camera is h = -16+2 +351 + 5, where h represents the height in feet and t represents the time in seconds. If the chairlift is 25 feet above the ground, will Jorge have 01, or 2 chances to catch the camera? If Jorge is unable to catch the camera, when will it hit the ground? a solenoid has 364 coils. the flux through each changes from 2.57*10^-5 Wb to 9.44*10^-5 Wb in 0.0154s. how much EMF is generated? Find the area of the figure how do distance and displacement differ in this situation 30 POINTS! HELP!! The table shows the probability distribution of siblings of students in a high school with 1500 students. What is the expected value for the number of siblings of a randomly chosen student?A. 2.5B. 1.29C. 1.08D. 1.11 a language translator is a ??? The cereal box shown below is a rectangular prism. Use the proportion below to determine 30% of 20. Tim had $788 in his checking account. Then, he spent $135 from the account. How much money is left in Tim's checking account? Why is this equation not valid? Please help What did Francis Cabot Lowell and Samuel Slater have in common?A. Their inventions allowed the U.S. economy to decrease dependence on slaves.B. Their inventions made Transatlantic communication more efficient.C. They imported technological advances from Great Britain.D. They grew wealthy selling their technologies to European buyers. pls help me with spanish Can anyon help me plzz... Solve these order of operation:A. (2.8+(-1^4)(3.4^0-40.5)B. 2.8(-3.1+5^2)C. 15.3+3.14-8(-0.6)