3 years ago

Tangent WZ and secant WV intersect at point W. Find the value of X. If necessary, round to the hundredths place.

1 answer:

5 0

For the above figure, the formula is,

x² = WY (YV + WY)

WY = 5
YV = 12

Substituting in the above formula,

x² = 5 x (12 + 5)
x² = 5 x 17 = 85
x² = 85
⇒ x = √85 = 9.21954 = 9.220

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Is 85 a composite number and why

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Answer It is composite number

Step-by-step explanation:

A composite number is a number that can be divided evenly by more numbers than 1 and itself. ... Since 85 cannot be divided by just 1 and 85, it is a composite number.

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3 years ago

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sp2606 [1]

Answer:

E. None of the above

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3 years ago

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STALIN [3.7K]

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2 years ago

A chemist has 10% and 40% solutions of acid available. How many liters of each solution should be mixed to obtain 120 liters of

kaheart [24]

Answer:

100 liters of 10% solution is used and 20 liters of 40% solution is used

Step-by-step explanation:

Let "X" amount of 10% solution is used. Then the amount of 40% solution used is equal to 120-X

Now

10% of X + 40% of (120-X) = 15% of 120

On solving the above equation, we get

$0.1 X + 0.4 (120-X) = 0.15 *120\\0.1 X + 48 -0.4X = 18\\0.3 X = 30\\X = 100$ liters

Amount of 40% solution used = 120 -X = 120-100 = 20 liters

100 liters of 10% solution is used and 20 liters of 40% solution is used

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2 years ago

A lizard needs to stay a safe distance from a cactus. The diameter of the cactus is 12 inches. If the lizard is 8 inches from a

frez [133]

We will use the Pythagorean theorem:
8² + 12² = c²
64 + 144 = c²
c = √208 ≈ 14.42
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3 years ago