The Moore family’s backyard is shaped like a trapezoid as shown. The area of the backyard is 8,580 square feet. What is the perimeter of the yard? Explain how you found your answer.
Answers
Answer:
See Explanation
Step-by-step explanation:
Your question do not have enough details for it to be answered. I will solve your question on a general terms using the attached image of a trapezoid
Given
[tex]Area = 8580ft^2[/tex]
From the attachment, we have:
[tex]BC = 100ft[/tex]
[tex]AD = 80ft[/tex]
[tex]h = 60ft[/tex] --- height
The perimeter (P) of a trapezoid is:
[tex]P = AB + BC + CD + AD[/tex]
Substitute values for AD, BC
[tex]P = AB + 100 + CD + 80[/tex]
Collect Like Terms
[tex]P = AB + CD + 80+ 100[/tex]
[tex]P = AB + CD + 180[/tex]
Next, is to calculate the lengths of AB and CD or the sum: AB + CD
The area of a trapezoid is:
[tex]Area = \frac{1}{2}(AB + CD) * h[/tex]
Substitute values for Area and h
[tex]8580= \frac{1}{2}(AB + CD) * 60[/tex]
Multiply both sides by 2
[tex]2*8580= \frac{1}{2}(AB + CD) * 60*2[/tex]
[tex]17160= (AB + CD) * 60[/tex]
Divide both sides by 60
[tex]\frac{17160}{60}= \frac{(AB + CD) * 60}{60}[/tex]
[tex]286 = AB + CD[/tex]
[tex]AB + CD=286[/tex]
Substitute 286 for AB + CD in: [tex]P = AB + CD + 180[/tex]
[tex]P = 286 + 180[/tex]
[tex]P = 466[/tex]
The perimeter of the backyard is 466ft.
The above steps should give you a hint on how to solve your actual question.
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passes through (2-7)
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Answer:
y=-7
Step-by-step explanation:
y-y1=m(x-x1)
y-(-7)=0(x-2)
y+7=0
y=0-7
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K12 Math What was the "phrase that pays" EXACTLY as written in the Unit 2 Practice Test Desmos lesson?
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Answer:
never stop learning
Step-by-step explanation:
all lower case
i took the k-12
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Answer:
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Step-by-step explanation:
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Answers
Wally is rebuilding his fence. Each section of the fence will have 12 vertical boards that are each eight inches wide. He’s going to attach them to two horizontal pieces of wood and add a diagonal piece to brace the fence section. The horizontal pieces will be five feet apart.
1.About how long should the diagonal piece of wood be?
2. If Wally plans on using 30 sections of fence, about how many feet of wood will he need for the horizontal and diagonal pieces?
Answers
Answer:
Part A)
Each diagonal is about 9.43 feet.
Part B)
In total, Wally needs about 736.02 feet of wood.
Step-by-step explanation:
Part A)
Since each vertical board has a width of 8 inches, for one section with 12 vertical boards, the total width will be 8(12) = 96 inches.
96 inches is the same as 96/12 = 8 feet.
We are also given that the horizontal pieces will be 5 feet apart.
To find the diagonal, we can use the Pythagorean Theorem. The 8 is the base and 5 is the height. Therefore:
[tex]\displaystyle d^2=8^2+5^2[/tex]
Compute:
[tex]d^2=89[/tex]
Taking the square root, we acquire:
[tex]\displaystyle d=\sqrt{89}\approx9.43 \text{ feet}[/tex]
So, each diagonal is about 9.43 feet.
Part B)
For each section, we have two horizontal pieces (each 8 feet) and one diagonal piece (each √89 feet).
Therefore, for one section, we will need a total of:
[tex]\displaystyle L=8+8+\sqrt{89}=16+\sqrt{89}[/tex]
Then for 30 sections, we will need:
[tex]T=30(16+\sqrt{89})[/tex]
Approximate:
[tex]T\approx 763. 02[/tex]
Wally will need about 736.02 feet of wood in total.
I just need help pleaseee
Answers
Answer:
y=17
Step-by-step explanation:
opposite sides of parallelogram are congruent.
so , 12= y-5
or, y=17
How do you change a table into a graph, and how do you know if it is additive or multiplicative graph?
Answers
Answer:
Click on insert, click graph, then make it to what u need
Step-by-step explanation:
hope this helps
Simplify
21^6y^5/14x^2y^9
Answers
1 2 2 5 2 3 0 3 ^1 4 ^2/2
Which graph shows a linear function?
Answers
Answer:
top right
Step-by-step explanation:
because
Please help asap ;-;
Answers
Answer:
1: 11
2: 1
3: -9
4: -49
Answer:
See screenshot below
Step-by-step explanation:
All you have to do it substitute the x in the rule with the x in the table. Let's do the first one in the steps below.Write the equation with the x value: y = -10(-1) + 1-10 × -1 = 10Plug 10 in: y = 10 + 110 + 1 = 11So, y = 11Now that you know how to find the rest, go ahead and do it (my answer doesn't show the work, but the answers are in the screenshot below)I hope this helps!
i need some help with this plz
Answers
Answer:
A
Step-by-step explanation:
In Sunday's Super Bowl, Tampa Bay ended up winning over Kansas City. With the win, Tampa Bay's Quarterback Tom Brady now has 7 Championships out of 10 tries. What is Tom Brady's overall winning percentage %? Hint 7 out 10 is what percentage?
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Answer:
KANAS CITY CHIEFS ARE THE BEST FRICK TOM BRADY HE IS OLD HE IS 43 YEARS OLD LIKE DUDE STOP UR TO OLD FRICK THE TAMPA BAY BUCS
Step-by-step explanation:
Answer: 70% Brady is the goay
Step-by-step explanation:
Based on the graph, what is the unit price at the print shop? pls help
Answers
Answer:
0.50
Step-by-step explanation:
Half of 8 is 4 which is where the point is labeled and you can see that where is the first point is located it is at the half way mark which would be .50 so each page printed is 0.50
Answer:
$1
Step-by-step explanation:
as you can see the total price category (Y intercept) tells you the total price for each pages printed. For each page, you have to pay $1
5. Vernon drew an 8 in, wide by 5 in. tall picture that will be turned into a
48 ft wide billboard. How tall will the billboard be?
ACTICE ORIEM SOLVING
Answers
Answer:
The billboard should be 30 feet tall
Step-by-step explanation:
Height of the picture = 5 inches
Width of the picture = 8 inches
But the billboard has a width of 48 feet = 12 x 48
= 576 inches
To know how tall the billboard is, we have to determine the scale factor required.
scale = [tex]\frac{width of billboard}{width of picture}[/tex]
scale = [tex]\frac{576}{8}[/tex]
= 72
scale = 72
The height of the billboard = scale x 5 inches
= 72 x 5 inches
= 360 inches
Also,
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= 30 feet
Therefore, the billboard would be 30 feet tall.
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Answers
Answer
X=22
Y=28
HELPPPP!!! TRUE OR FALSE
Answers
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A. 8
B. 12
C. 12+2i
D. 8+2i
Answers
Answer:
=6-i+4+2i+2-i
=6+4+2+2i-i-i
=12+2i-2i
=12
Please help what is the variable X?
Answers
Answer:
x= -7
Step-by-step explanation:
-3x -5 = 16
+5 +5
-3x = 21
divide by negative three on both sides to get your answer
Can someone help me on this question
Answers
helpppo asfff pleaseee :)
Answers
Answer:
D. t(x) = 4x - 1
Step-by-step explanation:
The sequence shows the first four terms. As such, the x coordinates of the graph will be 1, 2, 3, and 4. The y coordinates will be 3, 7, 11, and 15 respectively.
Graphing that, the 4 points all lie on the line 4x - 1, so D is the answer.
The graph I made for this is below.
The face of a clock has a diameter of 20 inches. What is the area of the
face of the clock?
Answers
Answer:
1. area = pi*r^2
herein, dia = 20 inch
radius = 10 inch
area = 22/7*10*10
= 314.2 square inch
Step-by-step explanation:
Find the length of the third side of a triangle that has a hypotenuse of 15m and a leg of 12m
Answers
Answer:
9m
Step-by-step explanation:
Select all correct ways of factoring
−4x − 12.
Answers
Answer:
-4(x+3)
Step-by-step explanation:
Answer:
4(3−x)
Step-by-step explanation:
−4x+12
Factor out 4.
4(−x+3)
Write an equation of the line with a slope of - 7 and y-intercept of 1.
Answers
Step-by-step explanation:
y= mx+ b
where m is the slope , and b is the y intercept
y= -7x + 1
Horatio has 230 dollars to be used only on his car. He wishes to save 160 of this money and spend $24.95 on an oil change. Horatio knows that gas costs $3.81 per gallon. Which of the following shows how many gallons of gas (g) he could buy? 3 needed.
A. g ≤ 11.82
B. g ≤ 60.37
C. 3.81 ≤ 45.05
D. 3.81 ≤ 230 + 160 + 24.95
E. 160 + 24.95 + 3.81 ≤ 230
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Answers
Answer:
g<_11.82
3.81<_230
160+24.95
so, ade
Step-by-step explanation:
In the diagram below, the angle of depression from the top of the lighthouse to a speed boat is 27 degrees. The base of the lighthouse is 33 ft away from the boat. Determine the height of the lighthouse, to the nearest tenth of a foot.
Answers
Answer:
=
412
feet
Step-by-step explanation:
The angle of depression is always measured from the horizontal.
A triangle is formed by the lighthouse, the ground and the boat. The angle of depression is not in the triangle, but it is equal to the angle of elevation at the boat. (Alternate angles on parallel lines)
The angle at the top of the lighthouse, inside the triangle is:
90°−27°
=63°
The distance to the boat is the side opposite the angle of
63°
while the height of the lighthouse is the adjacent side.
opposite
adjacent
=tan 63°
distance
210=tan 63°
distance=210×tan 63°=412 feet
Answer:
breh
Step-by-step explanation:
Luca has a piece of paper with the number 144 on it but doesn’t know what it refers to. What does Luca have?
data
information
knowledge
input
Answers
Answer:
Best option is data
Step-by-step explanation:
If it was information, he would know what 144 would be used for
Knowledge doesn't make sense in this scenario
Input could be possible but we don't know for sure that the number is an input of something
Answer:
data
Step-by-step explanation:
got it right on edge 2021
sorry if I'm wrong
Carrie received 42% of the vote for Treasurer of her school’s Latin Club. If there are 67 students, how many students voted for her?
A. 67
B. 39
C. 54
D. 28
Answers
Answer:
d.28
Step-by-step explanation:
i went on another website to find your answer
I used a calculator to find the answer
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Answers
Answer:
B
Step-by-step explanation:
pythagorean theorem !!
Answer:
for this one its b and c and im 100% sure of it
Step-by-step explanation: