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
I WILL MARK BRAINLIEST!!
Stels [109]

Answer:

9 inches

Step-by-step explanation:

The population is within 6 standard deviations of the mean with a confidence of 99.7 percent, 3 above and 3 below

 

The standard deviation of the sample mean is equal to the population standard deviation divided by the square root of the sample size

population standard deviation = 36

sample size = 144

standard deviation of the sample mean = 36/ sqrt(144)

                                      =36/12

                                        =3

The margin of error is  the number of standard deviations above  the mean * the standard deviations

margin of error  = 3 * 3

                         = 9 inches

8 0
3 years ago
Please give the measure of NPQ and explain how you got it
anygoal [31]

Answer:

C

Step-by-step explanation:

NQP is a triangle. It has 3 angles given.

We know

<em>sum of 3 angles in a triangle is 180 degrees</em>

<em />

We are Given:

∠N = 2x

∠Q = 2x + 2

∠P = 134

THus, we can write and solve for x first:

∠N + ∠Q + ∠P = 180

2x + 2x + 2 + 134 = 180

4x + 136 = 180

4x = 180 - 136

4x = 44

x = 44/4

x = 11

Now, measure of ∠NQP is 2x + 2, so substituting the value of "x", we have:

2x + 2 = 2(11) + 2 = 22 + 2 = 24 degrees

So,

∠NQP = 24°

Correct answer is C

4 0
3 years ago
- Which fractions are equivalent to 6/8?
natima [27]

Answer:

3/4,

12/16,

18/24,

24/32

30/40

...So on, So on...

Step-by-step explanation:

Any fraction that you multiply by the same number on the bottom and on top.

So, multiply by two, what you do to the top do to the bottom. = 12/16

Multiply by three = 18/24

So on, so on.

Or you can reduce, 6/8 divide by 2 = 3/4.

I'm gonna give you 5 equivalent equations. I also taught you how to do it!

7 0
3 years ago
Explain two ways you could solve 20=5(-3+x)
ehidna [41]

I only know this way sorry


20=5 (-3+x)
20=-15+5x
+15. +15
_________
35=5x
__ __
5. 5
7=x
6 0
3 years ago
A person trying to gain access to a bank vault must pass through a series of three security doors. If an attempt to pass through
ExtremeBDS [4]

Answer:

C) S = {F, PF, PPF, PPP}

Step-by-step explanation:

For this case, we know that a person is trying to gain access to a bank vault and needs to go through 3 security doors, and we know that if the person does not pass a door, then he/she has no other attempts. We denote P= Successful pass , F= Failed pass

And we are interested on the sample space, we need to remember that the sample is the set with all the possible values for an experiment.

For this case the person can fail at the 1,2 or 3 try

For the case that fails at the 1 try we have F

For the case that fails at the 2 try we have PF

For the case that fails at the 3 try we have PPF

And the last option is that the person not fails at any try and we have PPP

So then the sample space would be given by:

C) S = {F, PF, PPF, PPP}

6 0
3 years ago
Other questions:
  • Each month the census bureau mails survey forms to 250,000 households asking questions about the people living in the household
    12·1 answer
  • Trina has a total of 32 crayons.how many boxes of crayons did she buy
    10·2 answers
  • The population of scores on a nationally standardized test forms a normal distribution with μ = 300 and σ = 50. If you take a ra
    7·1 answer
  • How do I solve 1/26=x/1300?
    9·1 answer
  • If the dimensions of a parallelogram are doubled, the perimeter will also be doubled. True False
    8·2 answers
  • On Professor Hardtack's last cost accounting exam, the mean score was 71, the median was 77, and the mode was 81. (a) Check the
    8·2 answers
  • A student simplified the expression 6^2/12^2 as 1/2 do you agree
    7·1 answer
  • PLSSS HELP IF YOU TURLY KNOW THISS
    12·1 answer
  • Help now!!!!!!
    13·1 answer
  • W^14+w^16<br> what will be the answer pls help
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!