Answers
Answer:
A: Find the area of the outer trapezoid and then subtract the area of the inner trapezoid
B: 15 square units
Step-by-step explanation:
A:
Find the area of the outer trapezoid and then subtract the area of the inner trapezoid
(because if the inner trapezoid wasn't there and you were looking for the shaded region, you'd find the area of the outer trapezoid. since you have to take away the area the inner trapezoid takes up, the shaded region = area of outer trapezoid - area of inner trapezoid)
B
The area of a trapezoid is ((a+b)/2)h, where a is the top or the trapezoid, b is the bottom and h is the height.
The top of the outer trapezoid ranges from 4 to 6, so a=6-4=2. The bottom of the outer trapezoid ranges from 2 to 8, so b=8-2=6. The height of the outer trapezoid ranges from 2 to 8, so h=8-2=6.
The area of the outer trapezoid = ((a+b)/2)h = ((2+6)/2)(6) = 4(6) = 24
The top of the inner trapezoid ranges from 4 to 6, so a=6-4=2. The bottom of the inner trapezoid ranges from 3 to 7, so b=7-3=4. The height of the inner trapezoid ranges from 3 to 6, so h=6-3=3.
The area of the inner trapezoid = ((a+b)/2)h = ((2+4)/2)(3) = 3(3) = 9
The are of the shaded region = the area of the outer trapezoid - the area of the inner trapezoid = 24 - 9 = 15 square units
Related Questions
please help me on this its reading
Answers
The answer is C to be informed about a new topic.
Answer:
C.
Step-by-step explanation:
C. be informed about a new topic
Three vans can carry
18 adults. How many
adults are in 7 vans?
Answers
Answer:
42
Step-by-step explanation:
18/3= 6
6x7= 42
Answer:
42 with u need me to explain just say it in the comments :) hope this help
Step-by-step explanation:
How many solutions are there in the equation 2x - 5 = 2x - 5?
Answers
Answer:
the equation 2(x - 5) = 2x + 3 has no solutionStep-by-step explanation:
Solve to find the height of a triangle with the base of 10 feet in the area of 21 feet
Answers
Answer: 4.2
Step-by-step explanation:
hb=2A
b=2·21
10=4.2ft
58% of a $148 selling price goes toward paying expenses. How many dollars of the selling price is profit?
Answers
Answer:
62.16
Step-by-step explanation:
Evaluate the following algebraic expression at x = 4 and simplify your answer.
- 5x – 18 – 7x
Answers
first you need to plug in the x into the equation
-5(4)-18-7(4)
now you solve
-20-18-28
which equals
-66
what is the measure of the missing angle?
Answers
A triangle is 180° so add the two degrees given and subtract that from 180; 180-(75+40)
180-155= 65. then a line is 180 degrees so you subtract 65 from 180 and get 115
Helppppppppppppppppppppppppppppppppppp
Answers
Answer:
acute.... ....... .. . ......
You earn $18 for watching three cars how much do you earn to Washing 2 cars
Answers
Answer:
$12
Step-by-step explanation:
3 cars divide that by $18 and u get $6 per car. multiply that by two cars nd you get $12.
does anyone know the answer and how to show your work
Answers
Answer: (A)-2, -1
(b) 3,0
(C) 7,2
Step-by-step explanation:
So you just go and write the place and which ever one isnt there then theres you answer. I THINK
Plz help just solve quicklyyy
Answers
Answer:
d
Step-by-step explanation:
Simplify the expression $(x-4)(x-7) + (3-x)(2+x).$
Help please! make sure to remember you have to simplify! not solve!
Answers
=> -10x+34
This is the simplest form I can think of.
Does anyone have the answer key to this? Need it ASAP!
Answers
1. Square root of 80
2. Square root of 53
3. Square root of 269
4. Square root of 369
Explanation/Advice
This entire homework uses the Pythagorean Therom, so practice it to prepare for your quiz/test.
The Distance between point A and Point B is √10 units.
What is Distance?Distance is a numerical measurement of how far apart objects or points are. In Physics or everyday usage, distance may refer to a physical length or an estimation based on other criteria.
Here, Coordinates of A is (1, 8) and B is (4, 9).
Distance formula = √(x₂-x₁)² + (y₂-y₁)²
= √(4 - 1)² + (9 - 8)²
= √9 +1
AB = √10
Thus, the Distance between point A and Point B is √10 units.
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A gym knows that each member, on average, spends 70 minutes at the gym per week, with a standard deviation of 20 minutes. Assume the amount of time each customer spends at the gym is normally distributed. Suppose the gym surveys a random sample of 49 members about the amount of time they spend at the gym each week. What are the expected value and standard deviation (standard error) of the sample mean of the time spent at the gym
Answers
Answer:
the expected value and the standard deviation of the sample mean is 70 and 2.86 respectively
Step-by-step explanation:
The computation of the expected value and the standard deviation of the sample mean is shown below:
The mean is 70
And, the standard deviation is
= 20 ÷ √49
= 20 ÷ 7
= 2.86
Hence, the expected value and the standard deviation of the sample mean is 70 and 2.86 respectively
Math 3rd grade can someone explain easy for 3rd grade child thanks
Answers
Answer:
A is 16, B just draw a line down from the inside square to make a rectangle, C. just multiply all the numbers around the square
Step-by-step explanation:
<<
Answer:
A) 72 in²
B) From the bottom right corner of the shaded square, draw a line either straight down or to the right.
C) 56 in²
Step-by-step explanation:
A) 8x9=72 in²
B) From the bottom right corner of the shaded square, draw a line either straight down or to the right.
C) The shaded area is 4x4=16, so you need to subtract that from the 72.
72-16=56 in²
What is
1. (1-1/4) x 4
2. 2- 1/4 x4 +4
3. 8 + 10 x 1/2
Answers
Answer:
1. 3
2. 5
3. 13
Step-by-step explanation:
there is your answers :)
A 29-foot rope is cut into two pieces. The longer piece is 2 feet longer than twice the shorter piece. How long is each piece?
Answers
Answer:
20 is the longer piece, 9 is the shorter piece
Step-by-step explanation:
9*2=18
18+2=20
20+9=29
Subtract y from 5....
Answers
Answer:
5y-y= 5? I don’t know I’m not totally sure.
Step-by-step explanation:
Jim has 28 mangoes he gave Tom 8 how many does Jim has
Answers
Answer: 20 mangoes.
Step-by-step explanation: This is a simple subtraction problem. If you take away 8 from 28, you'll have 20.
28 - 8 = 20
Which of the following is NOT a solution to the system of inequalities?
Answers
Answer:
(2;-2)
Step-by-step explanation:
for more details see the attached picture.
Find the equation of the line that
is parallel to y = 4x + 1 and
contains the point (1, 1).
Answers
Answer:
4x-3
Step-by-step explanation:
Equation of the line that is parallel to y = 4x + 1 and contains the point (1, 1) is y = 4x - 3.
What are equation of a line that is parallel to that line?Two lines are said to be parallel if they always maintain the same distance apart. If two lines are drawn so that they could extend into infinity without ever meeting each other, these lines are called parallel. Parallel lines are also called Equidistant lines.
Given
Equation of line y = 4x + 1
Point = (1, 1)
Equation of the line that is parallel to y = 4x + 1 is y=kx + b
Here k =4
y = 4x + b and contains the point (1,1)
Substitute the point (1,1) in y= 4x + b
⇒ 1 = 4(1) + b
⇒ 1 - 4 = b
⇒ b = -3
y = 4x + b
⇒ y = 4x - 3
Equation of the line that is parallel to y = 4x + 1 and contains the point (1, 1) is y = 4x - 3.
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The Candy Store is selling packs of gummies. A pack has 2 and 1/3 pound
of pineapple gummies and 1 and 5/6 pound of strawberry gummies. How
may pounds of gummies is in a pack?
Answers
6×squared plus 15×plus 4×
Answers
Answer:
56
Step-by-step explanation:
6^2 = 36
36 + 15 = 51
51 + 4 = 56
Solve for the area of the triangle in each of the following problems.
Answers
Answer:
area of triangle = 1/2×base×height
area of triangle =1/2×15m×16m
area of triangle =120m²
●10 Kate is reading a 500-page book. The graph below represents the relationship between the
number of hours Kate has spent reading and the number of pages she has read.
Kate’s
rate
0 1
50
2
100
3
150
200
4 5
250
6
300
350
400
450
x
y
Reading Rate
Number of Pa
ges Read
Time (in hours)
(5, 200)
On the grid in your Student Answer Booklet, copy the x-axis, the y-axis, and the line
representing Kate’s reading rate exactly as shown. Be sure to label the line “Kate’s rate.”
Answers
"200" (and any subsequent words) was ignored because we limit queries to 32 words
Kate is reading 40 pages per hour.
The whole book takes 12.5 hour to complete.
What is Slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx where, m is the slope
Given:
From the data we have (5, 200) and (5,0)
then slope= (200-0) / 5
= 40
So, Kate is reading 40 pages per hour.
Now, to read the whole book i.e., 500 pages it takes
= 500/40
= 12.5 hours
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4.
In order to purchase a new CD player, Rosa must
save at least $85.00. What inequality represents
the amount of money, m, Rosa must save?
Answers
NEED HELP ASAP FREE BRAINLIST
Answers
Answer:
the correct answer is 904.78 cubic. inches
Solve for x. Assume that lines which appear tangent are tangent.
Answers
Answer:
Step-by-step explanation:
Help plssssssssss I don’t wanna fail
Answers
Answer: 5:15 PM
Step-by-step explanation: All you need to do is add numbers together. Make sure to remember that there is 60 minutes in one hour :)
2344x24553 math question please answer
Answers
Answer:
57552232
Step-by-step explanation: