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JulijaS [17]
3 years ago
10

Find the area of the trapezoid

Mathematics
1 answer:
fiasKO [112]3 years ago
7 0

Answer:

C. 52\sqrt{3}\ ft^2

Step-by-step explanation:

Use formula for the area of trapezoid

A=\dfrac{a+b}{2}\cdot h,

where a is the smaller base, b is the larger base and h is the height.

From the diagram,

a=11\ ft\\ \\b=15\ ft\\ \\h=4\sqrt{3}\ ft

So, the area of trapezoid is

A=\dfrac{11+15}{2}\cdot 4\sqrt{3}=13\cdot 4\sqrt{3}=52\sqrt{3}\ ft^2

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2.375 in expanded form
kari74 [83]

Answer:

2375^-3

Step-by-step explanation:

Move the decimal place from 2.375 to the back of the number so it should look like this, 2375.

Than move the decimal place back to its original spot and count the amount of spaces you move. Remember, if you move forward, your exponent should be negative. For example, if the problem is 6.321, you would move the decimal place to the back like this, 6321. And then move it back to where it originally was, 6.321, the amount of spaces I moved was 3 spaces and I moved forward so It would be 6.321^-3

6 0
3 years ago
Which value is the 10th term in the sequence:-62,-47,-32,-17,-2?
balu736 [363]
The answer is 13
Sure!!!
5 0
3 years ago
A property owner wants to build a cyclone fence around their property. The lot is rectangular, 110 feet by 270 feet. The fence i
dimulka [17.4K]

Answer:

total cost= $5,814

Step-by-step explanation:

Total linear feet measured: (110 x 2) + (270 x 2) = 760 linear ft

total sq ft= 760 x (7) = 5320 sq ft

total linear ft x labor= 760 x 1.70 = 1292 labor

Total sq ft x Cyclone fencing cost= 5320 x .85 = 4522

the total cost is 1292 + 4522 = $5,814

8 0
3 years ago
The probability of event a is x, and the probability of event b is y. if the two events are independent, which condition must be
nalin [4]

Condition (A) P(B/A) = y is true.

<h3>What is probability?</h3>
  • Probability is an area of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely a statement is to be true.

To find the true condition:


If two events are independent, then:

  • Pr(A∩B) = Pr(A) . Pr(B)

Use formulas for conditional probabilities:

  • Pr(A/B) = Pr(A∩B) / Pr(B)
  • Pr(B/A) = Pr(B∩A) / Pr(A)

For independent events these formulas will be:

  • Pr(A/B) = Pr(A∩B) / Pr(B) = Pr(A) . Pr(B) / Pr(B) = Pr(A)
  • Pr(B/A) = Pr(B∩A) / Pr(A) = Pr(B) . Pr(A) / Pr(A) = Pr(B)

Now in your case, Pr(A) = x and Pr(B) = y.

  • Pr(A/B) = x, Pr(B/A) = y, Pr(A∩B) = x.y

Therefore, condition (A) P(B/A) = y is true.

Know more about probability here:

brainly.com/question/25870256

#SPJ4

The complete question is given below:

The probability of event A is x, and the probability of event B is y. If the two events are independent, which of these conditions must be true?

a. P(B|A) = y

b. P(A|B) = y

c. P(B|A) = x

d. P(A and B) = x + y

e. P(A and B) = x/y

5 0
1 year ago
Marty is taking piano lessons. She is going to practice every afternoon. The 1st week she practiced for 11 minutes each day. The
defon

Answer:

m=7w+4

Step-by-step explanation:

<u>Linear Modeling</u>

It consist is setting up a linear relationship between two variables, given some experimental data. Only 2 points are needed to set up the equation of a line, but if more than 2 points are used, then the result should use statistical approaches like linear regression to find the best-fit line.

For the question at hand, Marty practices his piano lessons 11 minutes the week #1. It provides the first point (1,11). He practices 25 minutes per day on the third week. It gives us another point (3,25). This is enough to find the equation of a line. The general formula for a line, having two points (m1,w1) (m2,w2) is

\displaystyle m-m_1=\frac{m_2-m_1}{w_2-w_1}(w-w_1)

Let's plug in our values

\displaystyle m-11=\frac{25-11}{3-1}(w-1)

Simplifying:

m-11=7w-7

\boxed{m=7w+4}

3 0
3 years ago
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