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Ivan
2 years ago
6

The _______ of an observation is determined by how far the values of the independent variables are from their means.

Mathematics
1 answer:
stira [4]2 years ago
7 0

Answer:

The leverage of an observation is determined by how far the values of the independent variables are from their means.

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PLEASE WILL GIVE 50 POINTS PLEASE ANSWER ​
leva [86]

Answer:

AB = 75

BC = 60

AC = 45

m∠A = 53°

m∠B = 37°

m∠C = 90°

Step-by-step explanation:

<u>Trigonometric ratios</u>

\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}

where:

  • \theta is the angle
  • O is the side opposite the angle
  • A is the side adjacent the angle
  • H is the hypotenuse (the side opposite the right angle)

Given:

\sf \tan(A)=\dfrac{60}{45}

Therefore:

  • side opposite angle A = BC = 60
  • side adjacent angle A = AC = 45

To find the length of AB (the hypotenuse), use Pythagoras’ Theorem:

a^2+b^2=c^2

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

⇒ AC² + BC² = AB²

⇒ 45² + 60² = AB²

⇒ AB² = 5625

⇒ AB = √5625

⇒ AB = 75

To find m∠A:

\implies\sf \tan(A)=\dfrac{60}{45}

\implies\sf A=\tan^{-1}\left(\dfrac{60}{45}\right)

\implies\sf A=53^{\circ}\:(nearest\:degree)

m∠C = 90° (as it is a right angle)

The interior angles of a triangle sum to 180°

⇒ m∠A + m∠B + m∠C = 180°

⇒ 53° + m∠B + 90° = 180°

⇒ m∠B = 180° - 53° - 90°

⇒ m∠B = 37°

4 0
2 years ago
Task 5:
Natasha_Volkova [10]

Answer:

p=18x+4

a=20x^2+17x-63

a=1350

Step-by-step explanation:

Given:

l=5x-7

w=4x+9

Required:

Area of the rectangle=?

Perimeter of the rectangle=?

If x = 9 inches what is the area of the shape=?

Formula:

a=l*w

p=2(l+w)

Solution:

p=2(l+w)

p=2(5x-7)+2(4x+9)

p=10x-14+8x+18

p=10x+8x+18-14

p=18x+4

a=l*w

a=(5x-7)(4x+9)

a=20x^2+45x-28x-63

a=20x^2+17x-63

Area of the shape if x=9in

a=20x^2+17x-63

a=20(81)+17(9)-63

a=1620+153-63

a=1413-63

a=1350

8 0
3 years ago
5.5 x 10^-8 in standard form
dangina [55]

Step-by-step explanation:

0.000000055

hope it helps you

3 0
2 years ago
Erika worked 18 hours last week and 20 hours this week. If she earns $6 per hour, how much did she earn these two weeks?
Crank
Hi!

If she worked 18 hours last week and 20 hours this week, then she worked 38 hours in total, because 18 + 20 = 38.

If she earns $6 per hour, and she worked for 38 hours, then she got 38 sets of 6, which you can find the answer to by multiplying 38 and 6.

This is essentially 6 + 6 + 6 +...

38 * 6 = $228

So she earned $228 these two weeks.

Hope this helped!
6 0
3 years ago
Read 2 more answers
What is the equation for exponential growth in Biology?
SpyIntel [72]
The exponential growth in biology is A=Pert, where "A" is the ending amount of whatever you're dealing with , "P" is the beginning amount of that same "whatever", "r" is the growth or decay rate, and "t" is time. The formula is related to the compound-interest formula, and represents the case of the interest being "compounded continuously". 
8 0
3 years ago
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