The rectangle and the trapezoid have the same area. What is the length l of the rectangle?
Please show work
Answers
Answer:
length = 18 ft
Step-by-step explanation:
A(rect) = 9l
A(trap) = 1/2(9)(24+12) → 4.5(36) → 162
9l = 162
l = 162/9
l = 18
=====================================================
How to get the answer:
We first need to compute the area of the trapezoid
area of trapezoid = height*(base1+base2)/2
A = h*(b1+b2)/2
A = 9*(12+24)/2
A = 9*(36/2)
A = 9*18
A = 162
The trapezoid has an area of 162 square feet.
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The rectangle also has an area of 162 sq ft.
area of rectangle = length*width
A = L*W
A/W = L
L = A/W
L = 162/9
L = 18
The length of the rectangle is 18 feet.
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Side note: both rectangle and trapezoid have the same height (9 feet). Notice how the average of the 12 ft and 24 ft sides leads to 18 ft, which is exactly the value of L. It's not a coincidence these two facts line up.
Related Questions
The cost of paving a square room at the rate of RS.15 per m2 is Rs.1500. What is the Area and the Perimeter of the room?
Answers
hope it helps you...................
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The area of the room is equal to 100 m² and perimeter is 40m
What is Area?The area is the space covered by the object. It is the region occupied by any shape. While measuring the area of a square, we consider only the length of its side. All sides of a square are equal; hence, its area is equal to the square of the side and the perimeter of a square = 4 × side units.
Given here: Unit rate of painting per meter square=15 and it cost 1500 in total
Thus Area = 1500/15
=100 m²
Then a²=100 and a=10
∴Perimeter of the square room is = 4×10
=40 m
Hence, The area of the room is equal to 100 m² and perimeter is 40m
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HELP PLEASE ANYONE
Derrick has 3 times as many CDs as Joshua. Which equation compares the number of CDs that the two boys have? (Let d = number of Derrick's CDs and j = number of Joshua's CDs.) O A. 3d = j E ов O B. 3j = d c C. 3 + d = j OD. 3 + j = d
Answers
Answer:
b
Step-by-step explanation:
joshua times 3 is basically derrick's amount
so 3j = d
Find the quotient of 1/6 and 2/9
Answers
Answer:
3/4 or 0.75
Step-by-step explanation:
When dividing- quotient- fractions, remember keep, change, flip
Keep- keep the first fraction
Change- change the division sign into a multiplication sign
Flip- flip the second fraction
So your problem really is:
[tex]\frac{1}{6} *\frac{9}{2}[/tex]
Which is: 9/12 or 3/4
You multiply by the reciprocal Then reduce the numbers then you multiply
Juan used 2/3 of his can of paint to paint his garage and 1/6 of his can
of paint to touch up things around the house. If he used 58 ounces of paint, how
much paint was in the can to start with? Round to nearest whole number. PLS HELP WILL DO ANYTHING
Answers
Answer:
the can contained a total of 69.6 oz
Step-by-step explanation:
First, we find the total amount he used.
2/3 + 1/6 = 4/6 + 1/6 = 5/6
He used 5/6 of the can.
He used 58 oz.
That means that 5/6 of the can equals 58 oz.
We don't know the size of the can, so let x = original number of ounces in can.
5/6 of can = 58
5/6x = 58
Multiply both sides of the equation by 6/5 to find x.
6/5 × 5/6x = 6/5 × 58
x = 69.6
Answer: the can contained a total of 69.6 oz
A principal of $2900 is invested at 4.25% interest, compounded annually. How much will the investment be worth after 7 years?
Answers
Let S = Sum after 13 years
So = amount invested
t = time in years
i = annual interest rate = .0325
The S = So(1+i)t = $2,200(1.0325)13 = $3,334.21
Please I really need help I’ll give brainliest
Based on the information in the diagram, which triangle
congruence property can be used to justify that triangle ABC is congruent to triangle FGH?
Answers
Answer:
In this I would choose C
Step-by-step explanation:
Foundations in Algebra: Probability Assignment
1. Andrew claims:
A spinner has 4 sections -
red, yellow, green, and blue.
The probability of getting the
red section is 0.25.
Is he correct? Explain your answer fully:
I
Answers
Answer:
yes a 1/4 probability is 0.25
AHHHHHH HELP PLEASE
[tex]3.25 \div \sqrt{24} [/tex]
Answers
Identify the domain and range of the following relation. {(3,-2), (5,2), (7,6), (9,10), (11,14)}
Answers
R: -2, 2, 6, 10, 14
Your math grade is a 68%.You turn in some late work, and now your grade is an 82%.What is the percent change?
Answers
Answer:
your grade increased by 14%
Describe the correlation of the following data:
strong, positive
strong, negative
weak, positive
weak, negative
Answers
Answer:
Weak and positive
Step-by-step explanation:
I just said it
The correlation of the data provided is Weak and the positive option (C) is correct.
What is a regression line?A regression line is a graph that illustrates the pattern of a group of statistics. In other words, it shows the data's best pattern.
We have a scatter plot shown in the picture.
As we can see in the dot plot the dots are scattered so much so there will be a very weak correlation between the variables.
As we know, the correlation is the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.
The formula for the regression coefficient:
[tex]\rm r = \dfrac{n(\sum xy)-(\sum x)(\sum y)}{\sqrt{{[n\sum x^2- (\sum x)^2]}}\sqrt{[n\sum y^2- (\sum y)^2]}}[/tex]
Drawing a line of best fit, we will see the correlation is Weak and positive.
Thus, the correlation of the data provided is Weak and the positive option (C) is correct.
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6 remainder 1 as a fraction
Answers
What is the solution to the inequality
Answers
Answer:
Search Results
Featured snippet from the web
A solution for an inequality in x is a number such that when we substitute that number for x we have a true statement. So, 4 is a solution for example 1, while 8 is not. The solution set of an inequality is the set of all solutions.
Step-by-step explanation:
HELP PLEASE!!
Question in picture!!
Answers
Answer:
twice a number and add 2 to it
Expression. 2x+2
Varible. 2X
Constant. 2
ten subtracted from 1/4 a number
Expression. 1/4x-10
Varible. 1/4x
Constant. -10
Hope This Helps!!!
hello guys .. can y’all help me with this question and explain it to me ? please and thank you:) 25 POINTS !
Answers
Answer:
B, 5.4
Step-by-step explanation:
BC = 36
FE = 7.2
AB = 27
x = Unknown value
They are proportional so...
[tex]\frac{36}{27} =\frac{7.2}{x}[/tex]
x = 5.4
a donut shop every Friday makes a total of 420 donuts on Tuesday morning to sell. Of the 420, 105 of them are plain and the rest are chocolate. If the donut shop plans to sell a total 820 donuts on Saturday morning, how many of them will be chocolate?
Answers
3 is what percent of 50
Answers
Answer:
6%
Step-by-step explanation:
3/50 x 100/1% = 3/2 x4/1% = 12/2%=6%
Find the difference.
5 and two-thirds minus 2 and one-half equals what number?
A. three and one-sixth
B. three and two-thirds
C. three and one-half
D. three and five-sixths
Answers
Answer:
A
Step-by-step explanation:
5 2/3 - 2 1/2 = 3 2/3 - 1/2 = 3 4/6 - 3/6 = 3 1/6
Explanation:
5 2/3 - 2 1/2
First, we have to convert both mixed numbers into improper fractions.
5 2/3= 17/3
2 1/2= 5/2
Then we find the common denominator, which is in this 6.
So we would do 17/3= x/6= 34/6. X=34
5/2= x/6= 15/6. X= 15.
Then we subtract 15/6 - 34/6= 19/6
Then we convert to a mixed number and get 3 1/6.
jerimiah can type 300 words in 1/5 of an hour. How many words can he type in 1 hour
Answers
Answer:
1500 words
Step-by-step explanation:
300 times 5 equals 1500.
WILL GIVE BRAINLIEST
Answers
Step-by-step explanation:
The slope-intercept form of an equation of a line:
[tex]y=mx+b[/tex]
[tex]m[/tex] - slope
[tex]b[/tex] - y-intercept
[tex]11)\ m=-1,\ b=2\\\\y=-x+2\\\\12)\ m=-\dfrac{3}{2},\ b=3\\\\y=-\dfrac{3}{2}x+3\\\\13)\ m=3,\ y=-2\\\\y=3x-2\\\\14)\ y=\dfrac{3}{4},\ b=1\\\\y=\dfrac{3}{4}x+1\\\\15)\ m=\dfrac{1}{2},\ b=1\\\\y=\dfrac{1}{2}x+1\\\\16)\ m=-\dfrac{2}{5},\ b=0\\\\y=-\dfrac{2}{5}x\\\\17)\ m=-7,\ b=2\\\\y=-7x+2\\\\18)\ m=\dfrac{4}{3},\ b=-4\\\\y=\dfrac{4}{3}x-4[/tex]
19) and 20) you have in other your question.
Maigan spends her summer working at as a
camp counselor. She makes $1800 and
wants to use it to buy a new phone. The
phone she wants will cost $50 per month.
Write an equation that represents the
relationship between total money left, T and
months, m.
Answers
Based on the amount Maigan makes and the amount she spends on the phone per month, the relevant equation using the mentioned variables will be "T = 1,800 - 50m"
Maigan makes $1,800 and this is the source of the cost of the phone.
If she pays $50 per month, the relevant equation to find out the amount of money she would be left with after a number of months is:
= Amount started with - Amount spent per month x number of months
This can be written as:
T = 1,800 - 50 x m
T = 1,800 - 50m
In conclusion, the relevant equation would be T = 1,800 - 50m.
Find out more on forming equations at https://brainly.com/question/4681624.
Using the slope formula, find the slope of the line through the given points.
(9.7) and (6.4)
What is the slope of the line? Select the correct choice below and if necessary, fill in the answer box to complete your choice.
O A. The slope of the line is (Type an integer or a simplified fraction.)
OB. The slope of the line is undeined.
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Answers
Answer: Start with y2-y1/x2-x1
-4+7/-6+3
Answer=2.5 or 5/2
DONT TRUST ME THOUGH
Step-by-step explanation:
Which ordered pair is a solution to the system of inequalities?
{y > -2
{x + y ≤ 4
A. (1,3)
B. (0, -4)
C. (-2,-3)
D. (1,5)
Answers
A (1,3) is a solution to the system of inequalities
i need help with this question
Answers
Divide x by y and compare:
5/1 = 5
10/2 = 5
20/4 = 5
All 3 are the same number so yes the rate of change is constant.
Answer:
Yes
Step-by-step explanation:
We can see that the correlation between x and y is
x = y/5
or
y = 5x
Divide. Round your answer to the nearest thousandth.
2,891.3030 - 0.728=
Answers
Answer:
3971.570
Step-by-step explanation:
what is the exact circumference of the circle? A. 10 FT B. 20 FT C. 40 FT D. 60 FT
Answers
Answer:
D. 60 Ft
Step-by-step explanation:
circumference = πd
π 20
60ft
Answer:
Hopefully others can use mine and get it correct!
Step-by-step explanation:
I just took this and got it wrong by listening to the other and went with 60 FT nope its 20FT
If x^2 - 6x +8=0, then x-4=0 or x-2=0.
Answers
Step-by-step explanation:
X - 4 = 0
X = 4
X - 2 = 0
X = 2
So the values of x are 2 and 4
Which of the following is equal to 42.736 ? Select all that apply
Answers
Answer:
sorry but i need more information on the question to answer it.
Step-by-step explanation:
Hope this helps you!
the two polygons are similar. Write a proportion and solve for x
SHOW WORK PLEASE
Answers
Answer:
Answer: 2.5
Step-by-step explanation:
It seems as if everything is divided by two so 5/2 is 2.5
PLEASE NO LINKS OR NEGATIVITY