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algol [13]
3 years ago
12

PLEASE HELP ME! can someone explain this to me pls?​

Mathematics
1 answer:
IRINA_888 [86]3 years ago
8 0
Pythagorean theorem: a2 + b2 = c2

(5)^2 + b2 = (6)^2
25 + b2 = 36
-25. -25

b2 = 11
square root both sides to cancel out

and then label the missing side on the triangle = √11

and then point to the theta symbol and find sin, cos, tan, csc, sec, and cot

for example: sin (opposite/hypotenuse) = √11 /6

SOHCAHTOH


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4 years ago
The combined ages of a dog and his owner are 96 years in total. The owner is 3 times older than his dog. How old is the owner?
nikitadnepr [17]

Answer:

72 yrs old.

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The combined age

D+O=96

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O=3D

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5 0
3 years ago
Concentric circles have radil of 4 cm and 8 cm. What is the probability that a
monitta

The probability that a  grain of rice dropped onto the circles at random lands outside the circle with the  4-cm radius and inside the circle with a radius of 8 cm is \frac{3}{4} or 75%.

Step-by-step explanation:

Step 1:

First, we need to calculate the areas of both circles.

The area of a circle = \pi r^{2} where r is the radius of the circle.

The inner-circle has a radius of 4 cm.

The area of the inner circle= \pi (4^{2})= 3.1415(16) = 50.264.

The outer circle has an inner radius of 4 cm and an outer radius of 8 cm.

So its area is \pi (R^{2} -r^{2} ) where R is the outer radius and r is the inner radius.

The area of the outer circle= \pi (8^{2} -4^{2})= 3.1415(64-16).

3.1415(48) = 150.792.

So the inner circle has an area of 50.264 square cm and the outer circle has an area of 150.792 square cm.

Step 2:

To find the probability of an event we divide the number of favorable outcomes by the total number of outcomes.

The total number of outcomes is the area of the entire circle

= 50.264+150.792 = 201.056 square cm.

The number of favorable outcomes is the area of the outer circle i.e. 150.792 square cm.

The probability of the rice falling in the outer circle =\frac{150.792}{201.056} = \frac{3}{4} = 75 \%.

7 0
3 years ago
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