On a coordinate grid, a trapezoid has vertices at (−6, 9), (−6, 6), (3, −9), and (3, 12). Each square on the grid represents 1 square foot. Explain how to find the area of the trapezoid.
Answers
Answer:
The area of the trapezoid is 108 square feet
Step-by-step explanation:
The given vertices of the trapezoid are;
(-6, 9), (-6, 6), (3, -9, and (3, 12)
Let the letters A, B, C, and D represent the vertices of the trapezoid, we have;
A(-6, 9), B(-6, 6), C(3, -9) and D(3, 12)
The drawing of the trapezoid on the coordinate plane created with MS Excel is attached
The area of a trapezoid, [tex]A_T[/tex] = (a + b)×h/2
Where;
'a', and 'b' = The length of the bases (parallel sides)
h = The height of the trapezoid (The distance between the bases)
Let 'a' represent the length of the long base CD and let 'b' represent the length of the short base AB
a = √((-9 - 12)² + (3 - 3)²) = 21
∴ a = 21 feet
Similarly, we have;
b = √((9 - 6)² + (-6 - (-6))² = 3
The height, h = The distance between AB and CD = AE
We note that sides AB and CD are parallel to the y-axis, therefore, the height which is the perpendicular distance to the between AB and CD will be parallel to the x-axis
Therefore, the t-coordinates of the points A and E are both equal to 9 and the length of AE = √((3 - (-6))² + (9 - 9)²) = 9
The height of the trapezoid, AE = 9 feet
∴ The area of the trapezoid, A = (21 + 3) × 9/2 = 108
The area of the trapezoid, [tex]A_T[/tex] = 108 ft.²
Related Questions
I feel like I know but pls help
Answers
Answer:
y = 27/6
Step-by-step explanation:
3/2x - 6 = -9/2x + 21
12/2x = 27
6x = 27
3/2x - 6 = -9/2x + 21
3/2x = -9/2x + 27
Get rid of fraction (multiply by 2)
3x = -9x + 54
12x = 54, x = 4.5
Plug 4.5 into any equation as x
y = 3/2(4.5) - 6
y = 6.75 - 6 = 0.75
Solution: y = 0.75 or 3/4
Find the missing supplementary angle.
Answers
help please
1. Which function is exponential? Write the function
(Exponential form is y=a(b)^x)
2.Which function is linear? Write the function
( linear y=mx+b)
Answers
Answer:
Easy way to distinguish:
Linear function forms a AP and exponential function forms a GPWe see f(x) is series of:
8, 14, 20, 26, 32This is a AP with common difference of 6 and the first term of 8g(x) is series of:
4, 12, 36, 108, 324This is a GP with common ratio of 3 and the first term of 41. g(x) is exponential function:
g(x) =4*3ˣ2. f(x) is linear function:
f(x) = 6x + 8Use the numbers below to simplify the expression. Numbers may be used once or not at all. 34671011 3y + 7 + 4y + 3 = y +
Answers
Answer:
[tex]3y + 7 + 4y + 3 = 7y + 10[/tex]
Step-by-step explanation:
Given
[tex]3y + 7 + 4y + 3 = [\ ]y + [\ ][/tex]
Required
Simplify
We have:
[tex]3y + 7 + 4y + 3[/tex]
Collect like terms
[tex]3y + 7 + 4y + 3 = 3y + 4y + 7 + 3[/tex]
Evaluate like terms
[tex]3y + 7 + 4y + 3 = 7y + 10[/tex]
Ryan bought a bike for $47,000 in the year 2002. Its value depreciates by 2% per year. What is the value
of the bike in 2006?
Answers
Answer:
$43351.30
Step-by-step explanation:
Can somebody help me out with these punnett square questions, just 1. and 2.
Answers
Gg gg
TT TT
Tt Tt
Ms. Swanson has 3 broken computers, 7 are
working and 5 are being fixed. What fraction
of her computers are being fixed?
Answers
Answer:
5/15
Step-by-step explanation:
I think the answer is 5/15 because 5 of the 15 computers are currently being fixed
what the median of 17, 24, 8, 19, 6, 34, 10, 28, 48, 12
Answers
The median is 48 because it is the biggest number and the biggest number is the median
whats the answer to {4t-t+2}4t−t+2
Answers
Answer:
16t^2 - 4t^2 +8t -t +2
12t^2 +7t +2
[tex](3t+2)4t - t + 212t^{2} + (8t-t)+212t^{2}+7t+2[/tex]
There ya go
~ Mari
help me pls T^T this is due today
Answers
8.
a. 6x + 1.6 = 58
-1.6 -1.6
6x = 56.4
b. 6x = 56.4
6x/6 = 56.4/6
x = 9.4
Step by step explanation:
I only understood 8 sorry:(
Find the equation of the line specified.
The line passes through the points ( -2, 3) and ( -4, 7)
a.
y = -2x - 1
c.
y = -4x - 1
b.
y = -2x + 3
d.
y = -2x + 7
Please select the best answer from the choices provided
A
B
C
D
Answers
Answer:
D
Step-by-step explanation:
please help me to find the answer for the 2 i got wrong!
Answers
HELP f(70)=1000(0.5)^x/30
type an integer or decimal rounded to the nearest tenth
Answers
Answer:
198.425
Step-by-step explanation:
For this problem you just plug in numbers for the answer. Typically you will see functions in the f(x) format but this time you're given f(70) which means that 70=x so you just plug in 70 for the x on the right side of the equation and get 198.425.
find the volume of the cylinder with the same radius and double the height when the radius is 5 and the height is 2
Answers
Answer:
100pi
Step-by-step explanation:
pi5^5=25pi
2*2=4
25pi*4=100pi
Help! Need sober answer
....
Answers
[tex]\huge{\mathbb{\tt{ANSWER↓}}}[/tex]
1. Find the permutation of the word LOVE taken 2 letters at a time.ANSWER IS C.12--------------------------------------------------------------------------------2. If 3 girls enter a jeepney in which there are 7 vacant seats, how many ways are there for them to be seated?ANSWER IS B.210--------------------------------------------------------------------------------3. How many combinations can be made from the letters of the word MOTHER taken 4 at a time.ANSWER IS A.15#CarryOnLearning
#JustEnjoyTheSummer
→XxKim02xXhelp bbro a aguy is lost aka the guy is me
Answers
Answer:
b=23
Step-by-step explanation:
(b+43)+(3b+45)=180
2 adjacent angles will always equal 180
Then just simplify
Tegan takes 23 minutes to walk to work. After getting a new
job, the time it takes Tegan to walk to work has decreased by
19%. How many minutes does it take Tegan to walk to work
now?
Answers
Answer:
18.66 minutes or 18 minutes 39.6 seconds
Step-by-step explanation:
23 x .19 = 4.37
23 - 4.37 = 18.66 minutes
The adams traveled 189 miles in 4.5 hours. The equation 4.5m = 189 can be used to find their mean rate of travel. What is the value of m?
Answers
Answer:
42
Step-by-step explanation:
Answer:42
Step-by-step explanation:
C. Solve for the missing measurements.
m<AZL
m AL
Answers
Please help me with this!! I’ll give brainliest
Answers
Answer:
I think its 62 IM SO SORRY IF ITS WRONG!!!!!!
Step-by-step explanation:
Because
8 x 2 = 16
3 x 2 = 6
10 x 4= 40
all together is 62
help me please!!!!!!!!!
Answers
Answer:
B) 21/29
Step-by-step explanation:
c) 4−4/5= 2
d) –4 + 3 ( 2 – x) = –8
e) 8 – ( 5 – 9x ) = 7( 1 – x )
f) –5 – 3( x + 1 ) = –( –4x + 1)
g) 4−6/9= 1/3+ x
Powodzenia ☺
Answers
Step-by-step explanation:
I will skip question c as there is no subject to solve.
d)
[tex] - 4 + 3(2 - x) = - 8 \\ - 4 + 6 - 3x = - 8 \\ 2 - 3x = - 8 \\ - 3x = - 8 - 2 \\ - 3x = - 10 \\ x = 10 \div 3 \\ = \frac{10}{3} \: or3 \frac{1}{3} [/tex]
e)
[tex]8 - (5 - 9x) = 7(1 - x) \\ 8 - 5 + 9x = 7 - 7x \\ 3 + 9x = 7 - 7x \\ 3 + 9x + 7x = 7 \\ 16x = 7 - 3 \\ 16x = 4 \\ x = 4 \div 16 \\ = \frac{1}{4} [/tex]
[tex] - 5 - 3(x + 1) = - ( - 4x + 1) \\ - 5 - 3x - 3 = 4x - 1 \\ - 8 - 3x = 4x - 1 \\ - 8 - 3x - 4x = - 1 \\ - 7x = - 1 + 8 \\ - 7x = 7 \\ x = 7 \div - 7 \\ = - 1[/tex]
g)
[tex]4 - \frac{6}{9} = \frac{1}{3} + x \\ 4 - \frac{2}{3} = \frac{1}{3} + x \\ x + \frac{1}{3} = 4 - \frac{2}{3} \\ x = 4 - \frac{2}{3} - \frac{1}{3} \\ = 4 - 1 \\ = 3[/tex]
help me pls thx
It costs $20 to buy 5 sandwiches from a vending machine. At this rate, what is the cost for 8 sandwiches? If you get stuck, consider creating a table.
Answers
Answer:
$ 32
Step-by-step explanation:
20 ÷ 5 = 4
Four dollars per sandwich
4 x 3 = 12
20 + 12 = 32
or
8 x 4 = 32
Maria list ten multiple of four starting with 4 George list ten multiple of seven starting with 7 with multiple is in both of their list
Answers
Answer:
1120
Step-by-step explanation:
10 4 4 7 multiply =1120 is the answer
PLZZZZ HELP RN ASAPPP
Answers
Answer:
mean=21, median= 14
Step-by-step explanation:
I hope this helps.
Answer:
Median = 14
Mean = 20
Step By Step Explanation:
12,46,32,18,26,41,46 what is the mode?
Answers
Answer:
The Mode would be 46
Step-by-step explanation: Put the number in order from least to greatest. Find the number that repeats. The number that repeats the most is 46.
HELP PLZ ILL MAKE BRAINLIEST AND GIVE ALOT OF POINTS-
Answers
Answer:
d = - [tex]\frac{9}{13}[/tex]
Step-by-step explanation:
Given
13d + 8 = - 1 ( subtract 8 from both sides )
13d = - 9 ( divide both sides by 13 )
d = - [tex]\frac{9}{13}[/tex]
Answer:
d = -9/13Step-by-step explanation:
Given ,
13d + 8 = -1
=> 13d = -1 - 8
=> 13d = -9
[tex] = > d = \frac{ - 9}{13} [/tex]
Hence,
The value of d = -9/13 (Ans)
please help convert the improper fractions to mixed numbers
Answers
Answer:
1. 1 1/4
2. 2 1/2
3. 2 2/5
4. 1 1/5
5. 4 1/3
Jackson invested $590 in an account paying an interest rate of 6 % compounded
monthly. Ellie invested $590 in an account paying an interest rate of 61%
compounded continuously. After 19 years, how much more money would Ellie have
in her account than Jackson, to the nearest dollar?
Answers
Answer:
$100
Step-by-step explanation:
pie is the circumference of a circle of diameter 1. *true or false*
Answers
Answer:
True
Step-by-step explanation:
Answer:
DUHHH true
Step-by-step explanation:
Good luck