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Vlada [557]
3 years ago
15

If two angles are complementary they add up to

Mathematics
1 answer:
MArishka [77]3 years ago
3 0

Answer:

90 degrees

I hope this helps!

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the equation y= - 5.131x2+ 31.821x - 3.333 approximates the number of people standing in line to catch a commuter train x hours
ehidna [41]

We are given function: y= - 5.131x^2+ 31.821x - 3.333

Where, x is the number of hours after 5a.m.

We need to approximates the number of people standing in line to catch a commuter train at 7 a.m.

From 5 a.m. to 7 a.m. total number of hours = 7-5 = 2 hours.

So, we need to plug x=2 in the given function.

Plugging x=2 in y=- 5.131x^2+ 31.821x - 3.333, we get

y=- 5.131(2)^2+ 31.821(2) - 3.333

Let us simplify it now.

2^2= 4.

Therefore,

y=- 5.131(4)+ 31.821(2) - 3.333

= -20.524 + 63.642 - 3.333.

= 39.785 or 40 approximately.

Therefore, the number of people in line at 7 a.m. is approximately 40 people.

Option D.40 is correct option.

3 0
3 years ago
The standard deviation of the data set is 2.3. Compute the variance to the nearest hundredth. 2,2,2,3,5,5,6,7,8
Arada [10]
The standard deviation is the square root of the variance...so that means the variance is the standard deviation squared.

2.3^2 = 5.29 <===
7 0
4 years ago
The following is the recipe to make one dozen muffins: 1 cups flour; 2 cups sugar; 2 tsps. Baking powder; 1 egg; 1 cup Crisco; 1
ivolga24 [154]

1.5 cups of flower, 3 cups sugar, 3 tbsp. baking powder, 1.5 eggs, 1.5 cups of Crisco, 1.5 cups of skim milk (hopefully not skin milk), and 1.5 cups of blueberries. Because 18 is 12 x 1.5 you just multiply all the given numbers by 1.5.

4 0
3 years ago
Rationalize the denominator and simplify. 5/4-√3
Yakvenalex [24]
I assume the denominator is (4-√3)
Multiple both top and bottom by (4+√3)
[5(4+√3)]/[(4-√3)(4+√3)]
=[20+5√3]/[4²-(√3)²]
=[20+5√3]/13
4 0
3 years ago
A mother is 30 years older than her son. Fifteen years ago the son was 1/3 of
nalin [4]

Let s be the son's age 15 yeasr ago and m the mother's age that year.

s = \dfrac{m}{3}

We also know that:

m = s+30

Plotting vallues:

s = \dfrac{m}{3}\\\\\\3s = s+30\\\\2s = 30\\\\s = 15\\\\m = 45

Remember that they were that age 15 years ago.

So their actual age is 30 and 60.

8 0
3 years ago
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