Answer:
yes your answer is correct
Step-by-step explanation:
Answer:
3 1/3 Hz
Step-by-step explanation:
Frequency is measured in "cycles per second," now given the name "hertz". The number of cycles per second is ...
(15 m/s)/(4.5 m) = 3 1/3 Hz
The ratio of the amounts is x/24.
The amount invested in company A is unknown. The amount is represented by the variable "x". The amount invested in company B is $24. We need to find out the ratio of the amount invested in company A to that of company B. We need the answer as a fraction.
Let the ratio be represented by the variable "r". A ratio compares two numbers. A ratio expresses how much of one thing there is in comparison to another. A fraction is a portion of a whole or, more broadly, any number of equal pieces. In ordinary English, a fraction denotes the number of components of a specific size.
r = x/24
Hence, the ratio of the amount invested in company A to that of company B is x/24.
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<h3>
Answer: 42</h3>
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Work Shown:
The two angle bisectors intersect to form the incenter. The incenter is the center of the inscribed circle (aka "incircle"). This circle is the largest possible, but is completely inside the triangle. No portions of the circle spill outside the triangle.
The two segments marked with lengths x+8 and 2x-5 are two radii of the incircle. This is because the sides of the triangle are tangent to the incircle.
Since all radii are the same length, we can set those expressions equal to one another and solve for x
x+8 = 2x-5
x-2x = -5-8
-x = -13
x = 13
This x value then leads to
- x+8 = 13+8 = 21
- 2x-5 = 2*13-5 = 26-5 = 21
Both radii are 21 units long, which helps confirm we have the proper x value. We double the length of the radius ot get the diameter.
So the diameter of the incircle is 2*21 = 42 units long.