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fenix001 [56]
3 years ago
8

What is the area of this figure? Enter your answer in the box.

Mathematics
1 answer:
Basile [38]3 years ago
3 0
Luckily for us, the diagram already divided this figure into separate polygons. What I will be explaining is basically the addition of the areas of all the separate polygons. The area of the uppermost triangle is:

1/2 x b x h
= 1/2 x 20 x 8
(the base is 20, because in a parallelogram, opposite sides are congruent)
=10 x 8
= 80 in. squared

The next polygon we will be taking the area of is the parallelogram with the base length of 20 and the height of 16.

Area = b x h
= 20 x 16
= 320 in. squared

Now all we have left to do is add the two areas to obtain the total area.

Total Area = 320 + 80 = 400 in. squared


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Given that a function, g, has a domain of -1 ≤ x ≤ 4 and a range of 0 ≤ g(x) ≤ 18 and that g(-1) = 2 and g(2) = 8, select the st
Juli2301 [7.4K]

Answer:

Option 4 is correct.

Step-by-step explanation:

Consider a function g, it has a domain of -1 ≤ x ≤ 4 and a range of 0 ≤ g(x) ≤ 18. It is given that g(-1) = 2 and g(2) = 8.

The statement g(5) = 12 is not true because the value of x is 5 which is not in its domain.

The statement g(1) = -2 is not true because the value of function g(x) is -2 which is not in its range.

The statement g(2) = 4 is not true because g is a function and each function has unique output for each input value.

If g(2)=8 and g(2)=4, then the value of g(x) is 8 and 4 at x=2. It means g(x) is not a function, which is contradiction of given statement.

The statement g(3) = 18 is true because the value of x is 3 which is in the domain and the value of function g(x) is 18 which is in its range.

Therefore, the correct option is 4.

8 0
3 years ago
Read 2 more answers
Calculate the pay for the following day of a<br> weekly time card given a wage of $12.50/hr.
Elenna [48]

The one day pay is $106.25 rounded to the nearest hundredth.

<u>Step-by-step explanation:</u>

<u>From the table shown :</u>

  • The timing shown in the morning is from 8:00 to 12:15
  • The number of hours worked in the morning = 4 hours 15 minutes.

It is given that, the pay is $12.5 per hour.

Therefore, the pay earned in the morning = No.of hours × pay per hour.

⇒ 4 hours × 12.5 = $50

⇒ (15 mins / 60 mins) × 12.5 = $3.125

⇒ 50+3.125

⇒ 53.125

  • The timing shown in the afternoon is from 8:00 to 12:15
  • The number of hours worked in the morning = 4 hours 15 minutes.

Therefore, the pay earned in the afternoon = No.of hours × pay per hour.

⇒  4 hours × 12.5 = $50

⇒ (15 mins / 60 mins) × 12.5 = $3.125

⇒ 50+3.125

⇒ 53.125

The pay for 1 day = pay earned in the morning section + pay earned in the afternoon section.

⇒ 53.125 + 53.125

⇒ 106.25

∴ The one day pay is $106.25 rounded to the nearest hundredth.

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