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quester [9]
3 years ago
9

48. Climate A town's high temperature for a given

Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
8 0

Answer: 65 ≤ x ≤ 88

Step-by-step explanation:

Let x denotes the temperature of the town for a given month.

Given : Climate A town's high temperature for a given  month is 88°F and the low temperature is 65°F.

i.e. 65°F ≤ temperature in a given month ≤ 88°F

Replace temperature in a given month by x.

Thus  the compound inequality to represent the range of temperatures for the given month :-

i.e. 65 ≤ x ≤ 88

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2 angles measure 40 degrees each, what does the third angle measure? what type of triangle is it?
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Answer:

Part a): 100 degrees

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Step-by-step explanation:

Part a): Since the angle measures of all triangles add up to 180 degrees and since the other two angles are 40 degrees, which add up to 80, we can use subtraction to find the answer.

180 - 80 = 100

Part b): Since only two of the three angles in this triangle have the same measure, we can find that it is an isosceles triangle, with base angles measuring 40 degrees, and the vertex angle being 100 degrees.

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What is the value of the red dot on the number line below?
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B, 9.625

Step-by-step explanation:

I know there's a more surefire method of doing this problem but since this is multiple choice, you can use process of elimination to solve it.

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Simplify each of the following powers of i. i^99=
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Now check (99+1)/2= 100/2= 50,
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A new movie is released each year for 8 years to go along with a popular book series. Each movie is 5 minutes longer than the la
Georgia [21]

Answer:

The total length of all 8 movies is 740 minutes

Step-by-step explanation:

* Lets revise the arithmetic series

- In the arithmetic series there is a constant difference between  

 each two consecutive numbers  

- Ex:  

# 2 , 5 , 8 , 11 , ………………………. (constant difference is 3)

# 5 , 10 , 15 , 20 , ………………………… (constant difference is 5)

# 12 , 10 , 8 , 6 , …………………………… (constant difference is -2)

* General term (nth term) of an Arithmetic series:  

- If the first term is a and the common diffidence is d, then

 U1 = a , U2 = a + d , U3 = a + 2d , U4 = a + 3d , U5 = a + 4d  

 So the nth term is Un = a + (n – 1)d, where n is the position of the

  number in the series

- The formula to find the sum of n terms is

  Sn = n/2 [a + l] , where l is the last term in the series

* Lets solve the problem

- A new movie is released each year for 8 years to go along with a

 popular book series

∴ n = 8

- Each movie is 5 minutes longer than the last

∴ d = 5

- The first movie is 75 minutes long

∴ a = 75

- To find the total length of all 8 movies find the sum of the 8 terms

∵ Un = a + (n - 1)d

∵ The last term l is u8

∵ a = 75 , d = 5 , n = 8

∴ l = 75 + (8 - 1)(5) = 75 + 7(5) = 75 + 35 = 110

∴ l = 110

∵ Sn = n/2 [a + l]

∴ S8 = 8/2 [75 + 110] = 4 [185] = 740 minutes

* The total length of all 8 movies is 740 minutes

7 0
3 years ago
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