1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mrs_skeptik [129]
3 years ago
11

Find the area of the trapezoid. Leave your answer in simplest radical form.

Mathematics
1 answer:
sineoko [7]3 years ago
8 0

Answer:

Area = 52\sqrt3 \ ft^2

Step-by-step explanation:

Area of trapezoid

                         (\frac{a+ b}{2}) \times h      -----------( 1 )

We will split the trapezoid into Triangle and rectangle. To find the height and full length of base.

sin 60 = \frac{opposite}{hypotenuse}   [ opposite \  in  \ the \ equation \ \ is \ the \ height \ of \ the \ trapezoid  ]

\frac{\sqrt3}{2} = \frac{opposite }{ 8}\\\\\frac{\sqrt3}{2} \times 8 = opposite\\\\4\sqrt3 = opposite

Therefore, h = 4√3 ft

cos 60 = \frac{adjacent}{hypotenuse}    adjacent \ in \ the\ equation \ is \ the\ base \ of \ the \ triangle ]

\frac{1}{2} = \frac{adjacent}{hypotenuse}\\\\\frac{1}{2} \times 8 = adjacent\\\\4 = adjacent

Therefore, a = 11 feet, b = 11 + 4 = 15 feet

Substitute the values in the Area equation :

                                                Area = \frac{11 + 15}{2} \times 4 \sqrt3 = \frac{26}{2} \times 4\sqrt3 = 13 \times 4\sqrt3=52\sqrt3 \ ft^2

You might be interested in
2x^2+28x+98=0 factor completely
Julli [10]
2(x+7)^2=0 would be your answer :)
4 0
3 years ago
The selling price of the Robertsons family house dropped from $500,000 to $250,000. What was the percent decrease in the value o
Alexus [3.1K]

Answer:

50%

Step-by-step explanation:

You can literally do it mentally lol

 $500,000

- <u>$250,000</u>

 $250,000

so by common sense, it's 50%

Hope it helped!

5 0
2 years ago
Read 2 more answers
Please I need help on solving for x
Sedaia [141]

Answer:

34^o=1/2((3x-2)^0-(x+6)^o)

68^o=3x^o-2^o-x^o-6^o

68^o+8^o=2x^o-8+8^o

76^o=2x^o-->x=38^o

\huge\boxed{\boxed{\underline{\textsf{\textbf{x=38}}}}}

<h3><u>---------------------</u></h3><h3><u>hope it helps...</u></h3><h3><u>have a great day!!</u></h3>

5 0
3 years ago
If you have 24 months to save $4,220 how much would you have to save each month
gulaghasi [49]

Answer:

$175.83

Step-by-step explanation:

All you have to do is 4220 divided by 24 = $175.83

4 0
3 years ago
(a + 8)(b + 3)<br><br> ab + 8a + 3b + 24<br> ab + 3a + 8b + 24<br> 11ab<br> 24ab
pochemuha
The answer is ab+3a+8b+24.
5 0
3 years ago
Read 2 more answers
Other questions:
  • a family read the odometer before starting a trip.it read 25861.4 and they know they will be driving 353.2 mi.what will it read
    15·1 answer
  • Need help please find the inverse of this logarithm function please ❤️ ONLY IF UR GOOD AT MATH!!!!
    8·2 answers
  • Find the reciprocal of 2/7 1/9 3/8 1/2 11/12
    14·1 answer
  • Emily scores 22.5 points per coin. After collecting a total of 2 coins, how many points will Emily have scored in all?
    7·2 answers
  • Samantha drew Triangle JKL with the coordinates (2,3), (4, 3) and (5,2). She reflected this image over the x-axis to create an i
    7·1 answer
  • PLEASE ANSWER BOTH QUESTIONS
    9·1 answer
  • 50 points!!!!! Please!!!!! Sandra and Jenny spend a certain amount of money from their money box each month to buy plants. The t
    6·1 answer
  • PLZ HELP!! I'm really stuck<br><br> &gt;n
    15·1 answer
  • Simplify a-c when a=5,c=-1​
    5·1 answer
  • Could someone help me plz.<br><br><br> x/7=(-19)<br><br> b/7=5<br><br> a/10=(-9/10)
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!