Answer: B. 5/13
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Reason:
We have two given sides of this right triangle. Use the pythagorean theorem to find the missing side.
a = 5 and b = 12 are the two known legs; c is the unknown hypotenuse
The hypotenuse is exactly 13 units long. This is a 5-12-13 right triangle.
Now we can compute sine of theta
This points us to choice B as the final answer.
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Extra Info (optional)
- 5/12 is the value of tan(theta) since it's opposite/adjacent
- 12/5 is the value of cot(theta), the reciprocal of tangent
- 12/13 is the value of cos(theta), because cos = adjacent/hypotenuse
Answer:
2,576.5
Step-by-step explanation:
The Volume of a Cylinder = π • r² • height
radius = 13.5 feet
volume = PI * 13.5^2 * 4 feet (the problem states it is to be filled to a depth of 4 feet)
volume = PI * 182.25 * 4
volume = 2,290 cubic feet
The hose delivers 80 cubic feet per hour so it will take:
2,290 / 80 = 28.625 hours
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The volume of the pool is:
volume = PI * 182.25 * 4.5
= 2,576.5 cubic feet
Answer:
Given an exponential equation in which a common base cannot be found, solve for the unknown. Apply the logarithm of both sides of the equation. If one of the terms in the equation has base 10, use the common logarithm. If none of the terms in the equation has base 10, use the natural logarithm.
Step-by-step explanation:
i personally dont know but i found this hope it helps
Answer:
The standard form.
Step-by-step explanation:
Between the standard form and the expanded form the equation that helps find the y-intercept most effectively is the Standard form. The standard form of an equation takes the form of;
Ax + by = C, where A, B and C are constants and x and y are the intercepts.
y- intercept is a point in which x = 0 and then y is determined.
Another equation that helps find the y-intercept most effectively is the POINT -SLOPE form which can be represented mathematically by;
y = mx + c, where c =y- intercept, m = slope = y2 - y1/x2 - x1 and x and y are the axis.
The standard form is efficient because it can describe both zero and constant slope lines while the expanded form can only describe the equation with either zero or constant slope lines.
Answer:
2 containers
Step-by-step explanation:
There are many methods to solve this, but this is by far my favorite. Take them and turn it into a ratio. 180:12
Reduce it to be 30:x, when x is the unknown.
Figure out that 180/6 is the 30 we need. Then take 12/6 and get 2. So your new ratio is 30:2.
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