Find the perimeter of the figure. Round all figures to the nearest hundredths place.
Isosceles trapezoid
13 ft
4 ft
9 ft
a. 26.47 ft
b. 26.90 ft
c. 30.94 ft
d. 24.45 ft
Answers
Given:
Consider the below figure attached with this question.
To find:
The per perimeter of the isosceles trapezoid. Round all figures to the nearest hundredths place.
Solution:
Consider the isosceles trapezoid is ABCD.
Draw two perpendicular from C and D to AB as shown in second figure.
Now, CDEF is a rectangle,
[tex]EF=CD=9\text{ ft}[/tex]
[tex]AB-EF=13-9[/tex]
[tex]AB-EF=4\text{ ft}[/tex]
It is an isosceles trapezoid, so [tex]\Delta ADE\cong \Delta BCF[/tex].
[tex]AE=BF=\dfrac{4}{2}=2\text{ ft}[/tex]
Now,
[tex]AE^2+DE^2=AD^2[/tex] [Pythagoras theorem]
[tex]2^2+4^2=AD^2[/tex]
[tex]4+16=AD^2[/tex]
[tex]\sqrt{20}=AD[/tex]
[tex]AD=BC\approx 30.94[/tex] [Isosceles trapezoid]
Find the perimeter of the figure.
[tex]Perimeter=AB+BC+CD+AD[/tex]
[tex]Perimeter=13+4.47+9+4.47[/tex]
[tex]Perimeter=30.94\text{ ft}[/tex]
Therefore, the correct option is c.
Shorter Version: C lol
Related Questions
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140 raffel tickets were sold at a fundraiser. If the ratio of losing tickets to the number of winning tickets is 5:2, how many winners are there. SHOW YOUR WORK PLSSSSS
Answers
Answer:
down below
Step-by-step explanation:
5:2=5+2= there are 7 parts altogether
140/7=20 in each 1 part
losing=5
do 20 times 5=100 raffel tickets are losing
2 times 20 is the winning tickets=40 winning tickets
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Is (x-2) a factor of f(x) = (4x +13x +10)?
Answers
Answer:
Step-by-step explanation:
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Answers
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Step-by-step explanation:
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Answer:
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Answer:
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B) is the right answer.
Answer:
B
Step-by-step explanation:
We want to solve the inequality:
[tex]\displaystyle \sec\Big(\frac{x}{3}\Big)+4>2-\sec\Big(\frac{x}{3}\Big )[/tex]
First, we can add sec(x/3) to both sides:
[tex]\displaystyle2 \sec\Big(\frac{x}{3}\Big)+4>2[/tex]
Subtracting 4 from both sides yields:
[tex]\displaystyle 2\sec\Big(\frac{x}{3}\Big)>-2[/tex]
And dividing both sides by 2 yields:
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Answer:
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C=2πr
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Answer:
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Step-by-step explanation:
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Answers
Answer:
hope it helps forget about my writing
Answer:
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Step-by-step explanation:
Elimination:
First we need to line up x or y to be the opposite so they can be eliminated:
4x - 3y = 11
-2( 2x - 5y = 25) which is
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Next step we cancel out the x but adding both equations which would isolate the y:
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After finding y, plug it back into the equation to find x:
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To ensure it is correct, we can plug it back into both equations:
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Which two numbers are exactly 10 units away from 5?
Answers
8
The following three shapes are based only on squares, semicircles, and quarter circles.
Find the perimeter and the area of each shaded part. Give your answer as a completely
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b
A
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You probably have a mistake in the highlighted field(s).
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Answer:
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Step-by-step explanation:
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Answers
Answer: $49.18
Step-by-step explanation:
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Answers
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Step-by-step explanation: Multiply
Answer:
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Step-by-step explanation:
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Answers
Step-by-step explanation:
50x=41*100
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Answers
Answer:
2.4?
I'm not completely sure but I think that may be the correct answer.
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(Edit 2) Thank you for letting me try-.
Answer:
60%
Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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A fraction bar labeled C divided into 3 parts: Bo, B, and Cat. Bo has A points. B has 29 points. Cat has question mark point.
How many points did Bo score, as represented by A?
Who scored 29 points, as represented by B?
How many points did the 3 players score all together, as represented by C?
What will the answer to the question be?
Answers
Answer:
67.65
Step-by-step explanation:
Answer
cat scored: 38.65+29=67.65
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Step-by-step explanation:
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Step-by-step explanation:
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B. It is the graph of f(2) shifted 1 unit right and 3 units down.
C. It is the graph of f(2) shifted 3 units right and 1 unit down.
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Answers
Answer: C
Step-by-step explanation:
Answer:
It is the graph of f(x) shifted 3 units left and 1 unit up.
Step-by-step explanation:
Any number inside the parentheses that is either negative or positive will do the exact opposite as stated in the equation, it is shifting 3 units to the left. We can also assume that it shifts 1 unit up since it is + 1.
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Help please extra points
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Answer:
The answer to the question provided is letter c.
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15x + 3.5
15 +3.5x
18.50x
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Answers
Answer:
b.
Step-by-step explanation:
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(lol optional): add my sc: tealyn337
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Answers
Answer:
The correct answer is,
[tex] - 6a - 12[/tex]
Answer:
-6(a+2)
Step-by-step explanation:
-2(8a + 6) + 10a
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The number of DVDs sold at a store in a month was 925 and the number of DVDs sold decreased by 12 per month. The number of Blu-ray discs sold in the same store in the same month was 507 and the number of Blu-ray discs sold increased by 26 per month. Let d represent the number of discs sold and t represent the time in months.
Write a system of equations by filling in the blanks:
d= _ t+ _
d= _ t+ _
Solve the system of equations using the substitution method. Complete the sentence to describe the solution.
There will be _ DVDs and Blu-Ray discs sold per month in _ months
Answers
Answer:
See belowStep-by-step explanation:
DVDs
d = 925 - 12tBlu-rays
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On average, Nancy has noticed that 18 trucks pass by her apartment daily (24 hours). In order to find the probability that more than 4 trucks will pass her apartment in a 5-hour time period using the Poisson distribution, find the average number of trucks per 5 hours. Round your answer to three decimal places, if necessary.
Answers
Answer:
the average number of trucks per 5 hours is 3.750 trucks per 5 hours
Step-by-step explanation:
The computation of the average number of trucks per 5 hours is given below:
= Number of trucks passed ÷ time taken × given time
= 18 trucks ÷ 24 trucks × 5
= 3.750 trucks per 5 hours
Hence, the average number of trucks per 5 hours is 3.750 trucks per 5 hours
The same is to be considered by applying the above formula