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sergiy2304 [10]
2 years ago
6

Find the area of the figure. Round your answer to the nearest hundredth, if necessary.

Mathematics
1 answer:
gulaghasi [49]2 years ago
5 0

Answer:

56.549

Step-by-step explanation:

i used an online calc

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Consider randomly selecting a student at a large university. Let A be the event that the selected student has a Visa card, let B
Tems11 [23]

Answer:

0.75

Step-by-step explanation:

Given,

P(A) = 0.6, P(B) = 0.4, P(C) = 0.2,

P(A ∩ B) = 0.3, P(A ∩ C) = 0.12, P(B ∩ C) = 0.1 and P(A ∩ B ∩ C) = 0.07,

Where,

A = event that the selected student has a Visa card,  

B = event that the selected student has a MasterCard,  

C = event that the selected student has an American Express card,

We know that,

P(A ∪ B ∪ C) = P(A) + P(B) + P(C) - P(A ∩ B) - P(A ∩ C) - P(B ∩ C) + P(A ∩ B ∩ C)

= 0.6 + 0.4 + 0.2 - 0.3 - 0.12 - 0.1 + 0.07

= 0.75

Hence, the probability that the selected student has at least one of the three types of cards is 0.75.

5 0
3 years ago
A regular hexagon has an apothem of 14.7 inches and a perimeter of 101.8 inches. What is the area of the hexagon?
Neporo4naja [7]

<u>Answer</u>

748.23 in²


<u>Explanation</u>

Apothem a line from the centre of a regular polygon at right angles to any of its sides. This can be said to be the height of the triangle in a polygon.

The base of the  hexagon = 101.8 ÷ 6

                                            = 19.96666..

                                            = 19.9667 inches

Area of the  hexagon = 1/2 × height × base length × 6

                                     = 1/2 × 14.7 × 19.9667 × 6

                                      = 748.23 in²

7 0
3 years ago
Read 2 more answers
What are two equivalent fractiond for 30/10
I am Lyosha [343]

Answer:

The answer is 3/1 or 3

Step-by-step explanation:

30/10 = 3/1 = 3

Thus, The answer is 3/1 or 3

<u>-TheUnknownScientist</u><u> 72</u>

8 0
3 years ago
Read 2 more answers
Solve for x. (have to add extra letters so the question works)
zloy xaker [14]

Answer:

x=11°

Step-by-step explanation:

-Sum of angles of a triangle should alway be 180 degrees

35+110+2+3x=180

-Add all known values

147+3x=180

-Subtract 147 from both sides

3x=33

-Isolate x by divind both sides by 3

x=11°

5 0
3 years ago
When viewed from the front, the rope used to tie down a tent forms a pair of supplementary angles with the ground. Find $m\angle
pentagon [3]

Answer:

<ABC = 49°

Step-by-step explanation:

The sum of two supplementary angle is 180. From the diagram, the two angles are 3x+4 and 8x+11. IF this two angles are supplementary then;

3x+4+8x+11 = 180

11x+15= 180

11x = 180-15

11x = 165

x = 165/11

x = 15

From the attached diagram, <ABC = 3x+4

<ABC = 3(15)+4

<ABC = 45+4

<ABC = 49°

3 0
3 years ago
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