Use the geometric mean theorems to find AC and BD. BA=20 BC=15
1 answer:
Step-by-step explanation:
first, you use the pythagorean theorem to find the missing side of the original and big triangle.
next, you simplify these into actual numbers
after, you add these numbers together and find the square root.
you have the answer for <em>AC</em><em>.</em><em> </em>next you need to find <em>BD</em><em>.</em><em> </em>of you line up <em>BC</em><em> </em>with <em>BD</em><em>,</em><em> </em><em>BC</em><em> </em>would be longer, , so you know its shorter, but not by much, so I'd assume to guess like 13 for <em>BD-</em><em> </em>that's just me- but I'm not sure how to exactly find it.
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Answer:
The volume of the shaded figure is 252π feet³ ⇒ 1st answer
Step-by-step explanation:
* <em>Lets revise how to find the volume of the sphere</em>
- The volume of any sphere is , where
r is the radius of the sphere
- There is a large sphere of diameter 12 feet
- The diameter of the sphere is twice its radius
∵ The length of the diameter is 12 feet
∴ The length of the radius = feet
- There is a smaller sphere with a radius of 3 feet
- The smaller sphere is cut out of the center of the larger sphere
- <em>The volume of the shaded part is the difference between the </em>
<em> volumes of the larger sphere and the smaller sphere</em>
* <em>Lets find the volume of each sphere</em>
- The volume of the larger sphere:
V larger = = 288π feet³
- The volume of the smaller sphere:
V smaller = = 36π feet³
∴ The volume of the shaded figure = 288π - 36π = 252π feet³
* The volume of the shaded figure is 252π feet³
Answer:
The value of x = -0.46
Step-by-step explanation:
∵ ÷
∴
* Subtract the power of the same bases
∴
* Let
∴
∴ 4y² - 1 = -3y
∴ 4y² + 3y - 1 = 0 ⇒ factorize
∴ (4y - 1)(y + 1) = 0
∴ y + 1 = 0 ⇒ y = -1
∴ 4y - 1 = 0 ⇒ 4y = 1 ⇒ y = 1/4
∵
∴ y = -1 refused ( never gives -ve value)
∴ ⇒ insert <em>ln</em> in both sides
∵ ⇒ <em>ln</em>(e) = 1
∴ 3xln(e) = ln(1/4)
∴ 3x = ln(1/4)
∴ x = [ln(1/4)] ÷ 3 = -0.46