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
expeople1 [14]
3 years ago
14

What is the area of the trapezoid to the nearest tenth? PICTURE BELOW ⬇⬇⬇⬇

Mathematics
1 answer:
Nastasia [14]3 years ago
6 0

Answer:

  62.4 ft²

Step-by-step explanation:

The unmarked horizontal dimension at the bottom of the triangle is ...

  (8 ft)sin(30°) = 4 ft

The unmarked vertical dimension of the triangle (the height of the trapezoid) is ...

  (8 ft)cos(30°) ≈ 6.93 ft

Then the area of the trapezoid is given by the formula ...

  A = (1/2)(b1 +b2)h

  A = (1/2)((4 ft+7 ft) +(7 ft))(6.93 ft) ≈ 62.4 ft²

_____

The mnemonic SOH CAH TOA can remind you of the relationships between right triangle dimensions and angles.

  Sin = Opposite/Hypotenuse   ⇒   Hypotenuse×Sin = Opposite

  Cos = Adjacent/Hypotenuse   ⇒   Hypotenuse×Cos = Adjacent

You might be interested in
A web music store offers two versions of a popular song. The size of the standard version is 2.3 megabytes (MB). The size of the
Effectus [21]

answer

240 standard versions

set up equations

s = number of standard versions

h = number of high quality versions

the total size of all standard versions would be 2.3s since each standard version is 2.3 MB

the total size of all high quality versions would be 4.4h since each standard version is 4.4 MB

add them together to get the total size (2664 MB) of all versions

2664 = 2.3s + 4.4h

since the high quality version was downloaded twice as often as the standard, we can say that

h = 2s

substitute h into equation and solve

2664 = 2.3s + 4.4h

h = 2s

2664 = 2.3s + 4.4(2s)

2664 = 2.3s + 8.8s

2664 = 11.1s

s = 2664/11.1

s = 240

7 0
3 years ago
Marshall evaluates the expression 15.3 - 7.9 and gets an answer of 7.4.
d1i1m1o1n [39]

Answer:

C

Step-by-step explanation:

Anything less than 5 rounds down while 5 and anything more rounds up. Therefore...

15.3 rounds to 15

7.9 rounds to 8

7.4 rounds to 7

So, his answer is reasonable.

8 0
2 years ago
I need this answer in 30 minutes please help !!<br> **WILL MARK THE FIRST PERSON BRAINLIEST**
Brrunno [24]
Y=-1/2x+5 slope=-1/2 because it goes down one unit and to the right 2 units, and the y intercept is 5 because that's where the line intercepts the y-axis!
4 0
2 years ago
Read 2 more answers
A=(1/2)bh Solve the formula for h. Please show the steps of how you got the answer!
Flauer [41]
A = 1/2bh...for h
multiply both sides by 2
2A = bh
now divide both sides by b
(2a)/b = h
5 0
3 years ago
Read 2 more answers
What is 15% of $150?'
AleksandrR [38]

Answer:

$22.50

Step-by-step explanation:

15% of 150=22.5

6 0
3 years ago
Other questions:
  • Solve for x. 7 – 4x = 31 A. x = 6 B. x = 9.5 C. x = –6 D. x = –9.5
    9·2 answers
  • The population of a city is 490,000 and is increasing at a rate of 2.75% each year. Approximately when
    14·1 answer
  • Which side lengths form a right triangle?
    14·1 answer
  • Which of the following facts, if true, would allow you to prove that lines l and m are parallel ?
    10·2 answers
  • PLEASE HELP THANK YOU
    6·2 answers
  • Help ASAP PLEASE AND SHOW HOW YOU GOT THE ANSWER
    14·1 answer
  • Write the equation of the line that passes through the points (8, –1) and (2, –5) in standard form, given that the point-slope f
    14·1 answer
  • The chart below contains the results of a survey in which students were asked about their cell phone plan.
    10·2 answers
  • HELP PLEASE!!!!!!!!!!!!
    5·1 answer
  • Creating a dot plots. Use the data plot below to create a dot plot
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!