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Aliun [14]
2 years ago
6

Find the measurement of KL (round your answer to the nearest one hundredth. Which theorem did you use?

Mathematics
2 answers:
VMariaS [17]2 years ago
8 0
9.434, Pythagorean theorem
katrin2010 [14]2 years ago
8 0

Using the Pythagorean theorem:

KL = sqrt( 8^2 + 5^2)

KL = sqrt( 64 + 25)

KL = sqrt(89)

KL = 9.43

The answer is 9.43

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9. Given the point (6,-8) values of the six trig function.
lozanna [386]

Answer:

Here's what I get.

Step-by-step explanation:

9. (6, -8)

The reference angle θ is in the fourth quadrant.

∆AOB is a right triangle.

OB² = OA² + AB² = 6² + (-8)² = 36 + 64 = 100

OB = √100 = 10  

\sin \theta = \dfrac{-8}{10} = -\dfrac{4}{5}\\\\\cos \theta =\dfrac{6}{10} = \dfrac{3}{5}\\\\\tan \theta = \dfrac{-8}{6} = -\dfrac{4}{3}\\\\\csc \theta = \dfrac{10}{-8} = -\dfrac{5}{4}\\\\\sec \theta = \dfrac{10}{6} = \dfrac{5}{3}\\\\\cot \theta = \dfrac{6}{-8} = -\dfrac{3}{4}

10. cot θ = -(√3)/2

The reference angle θ is in the second quadrant.

∆AOB is a right triangle.

OB² = OA² + AB² = (-√3)² + (2)² = 3 + 4 = 7

OB = √7

\sin \theta = \dfrac{2}{\sqrt{7}} = \dfrac{2\sqrt{7}}{7}\\\\\cos \theta = \dfrac{-\sqrt{3}}{\sqrt{7}} = -\dfrac{\sqrt{21}}{7}\\\\\tan \theta = \dfrac{2}{-\sqrt{3}} = -\dfrac{2\sqrt{3}}{3}\\\\\csc \theta = \dfrac{\sqrt{7}}{2} \\\\\sec \theta = \dfrac{\sqrt{7}}{-\sqrt{3}} = -\dfrac{\sqrt{21}}{3}\\\\\cot \theta = -\dfrac{\sqrt{3}}{2}

3 0
2 years ago
In a manufacturing process that laminates several ceramic layers, 1% of the assembles are defective. Assume that the assemblies
Setler79 [48]
There are several information's already given in the question. based on those information's, the answer can be easily deduced.

a. It is already given that 1% are defective. It is required to find the number that is needed to be checked to get 5 defective products.
Then
1% of X = 5
0.01X = 5
x = 5/0.01
   = 500

b. <span>σ = square root [(<span><span><span><span>n^2</span>−1)/</span>12]
       = square root [(250000 - 1)/12]
       = square root [249999/12]
       = square root (20833.25)
       = 144.34
       = 144
I hope the procedure is clear enough for you to understand. I also hope that this is the answer that you were looking for and the answer has actually come to your desired help.</span></span></span>
6 0
3 years ago
Jacob runs 5 miles in 1 1/2 hours . Robert runs 3 miles in 45 minutes or 3/4 hour. Who runs faster
IgorLugansk [536]

Answer:

Robert

Step-by-step explanation:

If Robert runs 3 miles in 45 minutes, by the end of 90minutes, Robert would have covered 6miles, while Jacob covered 5miles in 90 minutes, therefore, Robert ran faster than Jacob.

5 0
2 years ago
Use the digits 2,3,and 5 to create a fraction and a whole number with a product greater than 2
mylen [45]

Product is multiplication.

Since the answer needs to be greater than 2 either the fraction needs to be an improper fraction ( meaning the fraction would be greater than 1) or the whole number would need to be greater than 2.


One answer would be 5 x 2/3 = 3 1/3

3 0
2 years ago
Find x+y, if: 2x+3y=8 and 3x+5y=13
joja [24]
Answer is x = 1 & y = 2
the answer can be found using math-way
4 0
2 years ago
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