Answers
Answer:
The area is 243 square feet
Step-by-step explanation:
The perimeter of a rectangle is the sum of all four sides.
Two of the sides represent the length and two represent the width.
Given what we know and using l to represent the length and w to represent the width.
l + l + w + w = 72ft
or more concisely
2l + 2w = 72ft
The four sides all add together to equal 72ft
We also know that
l = 3w
This says the length is equal to 3 times the width
we have two unknowns, l and w, and now we have two related equations so we can solve for l and w.
The first thing we will do is replace l with 3w in the first equation because the second equation tells us that l is the same as 3w. Making the replacement gives us
2(3w) + 2w = 72ft
2 times 3w is 6w
6w + 2w = 72ft
6w plus 2w is 8w
8w = 72ft
Now if we divide both sides by 8 we maintain the equality since we are making the same change to both sides
8w / 8 = 72ft / 8
8w divided by 8 is 1w or just w and 72ft divided by 8 is 9ft
w = 9ft
So now we know the width is 9ft
if we now replace w with 9 in one of our original equations we can solve for l, let's use l = 3w
l = 3(9ft)
3 times 9 is 27 so
l = 27ft
So the length is 27ft which is 3 times the width of 9ft
The area of a rectangle is length times width or l x w, so
area = 27ft x 9ft
area = 243sqft
ft means feet and sqft means square feet
Related Questions
The line is parallel to y = -3x - 2 and passes through the point (-4, 3)
Answers
Answer:
y = -3x - 9
Step-by-step explanation:
Parallel lines have same slope.
y = mx + b
m -> slope & b ->y-intercept
y = -3x - 2
So, slope of the required line = -3
(-4 , 3)
y - y1 = m(x - x1)
y - 3 = -3(x - [-4])
y - 3 = -3(x + 4)
y - 3 = x*(-3) + 4*(-3)
y - 3 = -3x - 12
y = -3x -12 + 3
y = -3x - 9
Use the area of the rectangle to find the area of the triangle. ?
Answers
Answer:
C
Step-by-step explanation:
rectangle: 5 × 10 = 50ft²
triangle: ½ × 10 × 5 = 5 × 5 = 25ft²
8/11x=-4/11 what is the value of x
Answers
Answer:
-1/2
Step-by-step explanation:
8x=-4, x=-1/2
. Three professors examined awareness of four widely disseminated retirement rules among employees at University of Utah. These rules provide simple answers to questions about retirement planning. At the time of the investigation, there were approximately 10,000 benefited employees, and 3,095 participated in the study. Demographic data collected on these 3,095 employees included gender, age (years), education level (years completed), marital status, household income ($), and employment category.(30pts)(a) Describe the population of interest.(b) Describe the sample that was collected.(c) Indicate whether each of the demographic variables mentioned is categorical or numerical.
Answers
Answer:
a) The population of interest = 10,000 benefited employees. It includes all benefited employees.
b) The sample collected = 3,095. These are the benefited employees who participated in the study.
c) Indication of demographic variables as categorical or numerical:
Demographic data: Categorical or Numerical
Gender = Categorical
Age (years) = Numerical
Education level = Numerical
(years completed)
Marital status = Categorical
Household income ($) = Numerical
Employment Category = Categorical
Step-by-step explanation:
a) Data and Calculations:
Population of interest = 10,000 benefited employees
Sample = 3,095 participants
Demographic data:
Gender
Age (years)
Education level (years completed)
Marital status
Household income ($)
Employment Category
b) A variable is numerical value (e.g. length, test scores, etc.). It is a continuous variable. A categorical variable assumes a limited or fixed number of possible values, or it is categorized in groups.
Among all pairs of numbers whose sum is 6, find a pair whose product is as large as possible.
What is the maximum product?
Answers
Step-by-step explanation:
The pairs of numbers whose sum is 6 starting from zero is ;
0,6
1,5
2,4
3,3
Kindly note 2,4 is same as 4,2 , so there is no need for repetition
So the maximum product is 3 * 3 = 9 and the pair is 3,3
Answer:
The pair of numbers is (3,3) while the maximum product is 9
Step-by-step explanation:
The pairs of numbers whose sum is 6 starting from zero is ;
0,6
1,5
2,4
3,3
Kindly note 2,4 is same as 4,2 , so there is no need for repetition
So the maximum product is 3 * 3 = 9 and the pair is 3,3
Step-by-step explanation:
hope this helps :)
Help please. 7th grade
Answers
Simplify the expression.
2 (-5 - 7j)
Answers
Answer:
- 14j -10. the answer online
pls help me on this.......
Answers
Hey there!
Your answer is [tex]-4x+7[/tex]
Here are the steps to solve:
Given:
[tex]-5x-(x-7)[/tex]
Distribute negative sign:
[tex]-5x+x+7[/tex]
Add like terms:
[tex]-4x+7[/tex]
Have a great day! Hope it helped!
Will Mark As Brainliest!!!!!Search your home for a rectangular prism. Some examples are a cereal box, a CD case, or a coffee table. Measure your prism using appropriate units, such as inches, centimeters, or feet.
Complete the following. Show all work for calculations.
List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).
Describe the shape of the cross section when the box is cut parallel to the base.
What is the surface area of the box?
What is the surface area of the box if it is scaled up by a factor of 10?
What is the volume of the box?
What is the volume of the box if it is scaled down by a factor of
1
10
?
Answers
Solve s/10 = 7
the solution is s = ___
Answers
Answer:
S=70
Step-by-step explanation:
(10/1)s/10=7(10/1) multiply 10/1 to both sides
s=70
Answer:s=70
Step-by-step explanation:
50 POINTS AND BRAINLIEST
I need to know the steps for solving this. I know the answer is no solution but i don't understand the steps. Please help!!!
Answers
1/1+z+4/z+z^2 +1
1/2z =4/2z^2 +1
1/2z=2(z^2+2)/2z^2
1/2z=z^4+2z^2
z^5/2+2z^2
=therefore it has no solution I think this is the stes i m not sure sorry i m not sure ,try asking somebody else to cuz i m not sure
Can y’all help me on question six?!
Answers
Answer:
The answer is C (2:1)
Step-by-step explanation:
1. The greatest common factor of 8 and 4, is 4. We need to divide both numbers by the GCM, 4.
8 / 4 = 2
4 / 4 = 1
Therefore, the answer is 2:1 (C)
Please help.Find the circumference (to the nearest whole number). Use 3.14 for pi.
A.116 in
B. 88 in
C.44in
D.None of the above
Answers
The circumference is approximately 88 inches.
The correct option is B. 88 in.
To find the circumference of a circle, we can use the formula:
C = 2πr,
where C represents the circumference and r represents the radius of the circle.
Given that the radius, r, is 14 inches, we can substitute this value into the formula:
C = 2 x 3.14 x 14.
C ≈ 87.92 inches.
Thus, the circumference is approximately 88 inches.
Learn more about circumference of a circle here:
https://brainly.com/question/17130827
#SPJ2
A line has a slope of 5 and includes the points (1,t) and (3,2). What is the value of t?
Answers
Hello!
[tex]\large\boxed{t = -8}[/tex]
We can find the value of t using the slope formula:
[tex]slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Plug in the given slope and coordinates into the appropriate places:
[tex]5 = \frac{2-t}{3-1}[/tex]
Simplify:
[tex]5 = \frac{2-t}{2}[/tex]
Multiply both sides by 2 to begin isolating for t. Simplify and solve for t:
[tex]5 * 2 = 2 - t\\\\10 = 2 - t\\\\8 = -t\\\\t = 8[/tex]
Solve 3(x + 1) = −2(x − 1) − 4
-1
1
-3
5
Answers
Answer:
x = -1
Step-by-step explanation:
3(x + 1) = -2(x - 1 ) - 4
use the distributive property to get rid of the parentheses. on -2 and -1 they cancel each other out so it becomes + 2. now you have:
3x + 3 = -2x + 2 - 4 (+2 and -4 are like terms so they become -2. so technically its 3x + 3 = -2x -2)
get +3 on the other side by subtracting it from itself and then subtracting it from -2 so it becomes -5.
3x = -2x - 5
get -2x on the other side by adding 2x to itself then adding 2x to 3x so it becomes 5x
5x = -5
divide 5 from -5 and you get x = -1
A circle has a radius of 15 feet. What is the area of
the circle?
Answers
Answer:
A = 706.5 ft 2
Step-by-step explanation:
A = π ( 15 ft ) 2
A = π 225ft 2
A = 225 π ft 2
A = 225 ⋅ 3.14 ft 2
solve using any method 4x-y=20 and -2x-2y=10
Answers
Answer:
if you're trying to find the slope, it is (3, -8) were you looking for the slope?
Step-by-step explanation:
i hope this helps, have a great day:)
Answer: the answer is x =3, y = -8
Step-by-step explanation:
I NEED ANSWERS NOW BRAINLY!Steven has one bag that contains disks numbered 1, 2, and 3. He also has a
second bag that contains four disks lettered A, B, C, and D.
Construct a sample space of picking one disk randomly from each age and state the totals number of outcome possible
Answers
9 total outcomes
You can list out all the outcomes like this: 1a, 2a, 3a, 1b, 2b, 3b, 1c, 2c, 3c
or you can multiply 3 (the number of disks in one bag) by 3( the number of disks in the other bag)
The 2nd method is more efficient, also you can use these methods if you get another similar problem
A cylinder with radius 7 centimeters and height 9 centimeters has its radius quadrupled. How many times greater is the volume of the larger cylinder than the smaller cylinder .
Answers
Answer:
16 times larger
Step-by-step explanation:
I just feel like doing a challenge. Dont actually need help, so if you dont feel like answering, no problem. But what is 321 times 67. Don't use calculator, and first to get it right will get brainliest (:
Answers
Answer:
21507
Step-by-step explanation:
PLEASE ANSWER OFFERING BRAINLEST
Triangle MNQ is similar to triangle MLP. Determine the length of LP.
a. 2 inches
b. 9 inches
c. 12 inches
d. 16 inches
Answers
we can establish a ratio since triangle MNQ is equal to Triangle MLP.
your answer is B 9 inches
Which part of the water cycle is this image most similar to?
Answers
ignore this:isnsjsbjs sjsdjsnsnssnsnnsnsns
Answers
Answer:
4
Step-by-step explanation:
i dont wanna explain but the answer is 4
I TYPED IN THE ANSWER CAN SOMEONE CORRECT IF IT IS WRONG?
Answers
Answer: No you are not wrong
Step-by-step explanation:
PLEASE HELP!!!
question 1: What is the coefficient of the third term of the trinomial? (In other words, what is C?)
(2x + 3)(4x − 1) = 8x^2 +10x − C
Question 2: What is the coefficient of the second term of the polynomial? (In other words, what is B?)
(x + 2)(2x^2 + x − 1) = 2x^3 + Bx^2 + x − 2
question 3: What is the coefficient of the third term of the polynomial? (In other words, what is C?)
(x + 2)(x^2 −3x − 2) = x^3 −x^2 −Cx − 4
Answers
The value of C is -3 and the value of B is 5
ExpansionGiven the expression
(2x + 3)(4x − 1)
On expansion, ww will have:
(2x + 3)(4x − 1) = 8x^2 - 2x + 12x - 3
(2x + 3)(4x − 1) = 8x^2 + 10x - 3
Hence the value of C is -3
For the expression (x + 2)(2x^2 + x − 1)
Expnd
(x + 2)(2x^2 + x − 1) = 2x^3 + x^2 - x + 4x^2 + 2x - 2
(x + 2)(2x^2 + x − 1) = 2x^3+ 5x^2 +x - 2
Hence the value of B is 5
Learn more on expansion here: https://brainly.com/question/13602562
The expression 3(x-9) is equivalent to
3(x)+9.
3(x)+3(9).
3(x) - 9.
3(x) - 3(9).
Answers
Answer: 3(x) - 3(9)
Step-by-step explanation:
Answer:
last option
Step-by-step explanation:
Jacob and Jackson are having a fishing competition.
Each boy adds the lengths of all the fish he catches,
and the winner is the one with the greatest total length of fish.
The following shows the lengths of the fish each boy caught.
Jacob: 512in., 818in.,678in.,1234in.
Jackson: 634in., 578in., 718in., 634in., 514in.
Who won the competition and by how much?
Answers
Answer:
a
Step-by-step explanation:
because Jackson has the most numbers so it would make more sense for it to be a tell me if I'm right or wrong
Simplify (4+y) + (8y - 5)
Answers
Answer:
it is 9y-1
Step-by-step explanation:
You have to simplify the expressions.
HELP ME PLEASE I DONT KNOW WHAT TO DO!!!!!!!!
Answers
Answer:
I would have to guess c because it show a decrease in the number line
Step-by-step explanation:
Step-by-step explanation:
ɪᴛs ᴛʜᴇ ʟᴀsᴛ ᴏᴘᴛɪᴏɴ D
ᴀs ᴛʜᴇ ᴅᴏᴛ ɪs ᴘᴏɪɴᴛᴇᴅ ʙᴇᴛᴡᴇᴇɴ -15 ᴀɴᴅ -20
(tan^(2)x)/(secx)=secx-cosx how do i verify the identity
Answers
Answer:
sec x − cos x = sin x tan x? First convert all terms into sinx and cosx. Second apply fraction sum rules to the LHS. and replace secx with 1 cosx. The LHS, secx − cosx becomes 1 cosx − cosx. The RHS, sinxtanx becomes sinx sinx cosx or sin2x cosx.
Step-by-step explanation: