Answer:
x=8/7-y/7
Step-by-step explanation:
To solve this problem, we should first recall that the circumference
is the measure of the total arc enclosing the circle. The formula for
circumference is:
Circumference = 2 π r
where r is the radius of the circle
Now since we are only looking for a fraction of the arc,
not the total arc, therefore this simply means we are finding for a portion of the
circumference. Now we use the formula:
Arc length = (θ / 360) * 2 π r
Where θ/360 represents how much of the fraction is the arc
Convert angle to degrees: θ = 1.5 rad (180° / π
rad) = (270/π)°
Therefore the arc length is:
Arc length = (270/π / 360) * 2 π (8 inches)
Arc length = 12 inches
Answer:
- <u><em>The volume of Carly's cube is 125 in³</em></u>
Explanation:
The volume of a cube is calculated as the length of the side raised to the cube:
<u>1. Cube drawn by Owen</u>
From the drawing:
<u>2. Cube drawn by Pat</u>
Side length is 3 units greater than the side length of Owen’s cube:
<u>3. Cube drawn by Carly</u>
Side length is 1/2 the side length of Pat’s cube:
- Side = (1/2) × 10 in = 5 in
- Volume = (5 in)³ = 125 in³
Answer:
The value of f(1) is A. 0
Step-by-step explanation:
In this question, when they ask what is the value of f(1), they want you to tell them what is the "y" coordinate of the point with the "x" coordinate equal to 1. In our case, the point with the "x" coordinate equal to 1 has the "y" coordinate equal to 0. Therefore, the value of f(1) is A. 0
Answer:
a = 29
u = 12
Step-by-step explanation:
32 + 7u + 9 + 2a - 3 = 3a + 7u + 9
32 + 2a - 3 = 3a
a = 29
3(29) + 7u + 9 = 180
7u = 180 - 96
7u = 84
u = 12