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Colt1911 [192]
2 years ago
14

56 POINTS! Find the area of the following figure. Explain how you got your answer.

Mathematics
1 answer:
AleksAgata [21]2 years ago
3 0

Answer:

26.5 units²

Step-by-step explanation:

I am splitting the figure into a rectangle and two triangles to make this easier for me.

The rectangle is b•h so 5•4 = 20 units²

Area of triangle=1/2bh

The left triangle is \frac{1}{2}(3•3) ---> \frac{1}{2}(9) ---> 4.5 units²

The right triangle is \frac{1}{2}(2•2) --->\frac{1}{2}(4) ---> 2 units²

Then add it all up: 20+4.5+2 = <u>26.5</u><u> </u><u>units²</u>

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Calculate the volume of the cylinder​
murzikaleks [220]

Answer:

502.65

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Solve the inequality. 9 + 9(x + 7) &gt;= 36 The solution is
Alchen [17]

Answer:

x≥ -4

Step-by-step explanation:

9 + 9(x + 7)≥ 36

Subtract 9 from each side

9 -9+ 9(x + 7) ≥ 36-9

9(x + 7) ≥ 27

Divide each side by 9

9/9(x + 7) ≥ 27/9

x+7≥ 3

Subtract 7 from each side

x+7-7 ≥ 3-7

x≥ -4

6 0
2 years ago
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What is the constant variation of x-3 and y =27
Naily [24]
-9 i believe because 9x3=27
4 0
3 years ago
A salesperson earns $350.25 per week plus 12% of her weekly sales. Which of the following describes the sales necessary for the
Lynna [10]
Let X describes the sales

350.25+0.12x=800.5
Now solve for x
0.12x=800.5-350.25
0.12x=450.25
X=450.25÷0.12
X=3,752.08

the sales necessary for the salesperson to earn at least $800.50 in one week is 3,752.08
5 0
2 years ago
A bank in the Bay area is considering a training program for its staff. The probability that a new training program will increas
WITCHER [35]

Answer:

P(B' \cup A') = P((A \cap B)') = 1-P(A \cap B)= 1-0.32=0.68

See explanation below.

Step-by-step explanation:

For this case we define first some notation:

A= A new training program will increase customer satisfaction ratings

B= The training program can be kept within the original budget allocation

And for these two events we have defined the following probabilities

P(A) = 0.8, P(B) = 0.2

We are assuming that the two events are independent so then we have the following propert:

P(A \cap B ) = P(A) * P(B)

And we want to find the probability that the cost of the training program is not kept within budget or the training program will not increase the customer ratings so then if we use symbols we want to find:

P(B' \cup A')

And using the De Morgan laws we know that:

(A \cap B)' = A' \cup B'

So then we can write the probability like this:

P(B' \cup A') = P((A \cap B)')

And using the complement rule we can do this:

P(B' \cup A') = P((A \cap B)')= 1-P(A \cap B)

Since A and B are independent we have:

P(A \cap B )=P(A)*P(B) =(0.8*0.4) =0.32

And then our final answer would be:

P(B' \cup A') = P((A \cap B)') = 1-P(A \cap B)= 1-0.32=0.68

5 0
3 years ago
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