Answer:
3x^3 - 2x^2
Step-by-step explanation:
This is the answer because for the equation 3x^3 - 2x^2, nothing further can be done to this equation since there are no like terms.
To find the surface are of the base: 8 * 8 = 64/2(becasue its a triangle not a square base) = 32.
To find the surface are of the 3 other faces, 12 * 8 = 96/2 = 48 * 3(for the 3 sides) = 144.
The entire surface area is 176.
Answer:
- arc BF = 76°
- ∠M = 31°
- ∠BGE = 121°
- ∠MFB = 111°
Step-by-step explanation:
(a) ∠FBM is the complement of ∠FBC, so is ...
∠FBM = 90° -52° = 38°
The measure of arc BF is twice this angle, so is ...
arc BF = 2∠FBM = 2(38°)
arc BF = 76°
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(b) ∠M is half the difference between the measures of arcs BE and BF, so is ...
∠M = (1/2)(138° -76°) = 62°/2
∠M = 31°
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(c) arc FC is the supplement to arc BF, so has measure ...
arc FC = 180° -arc BF = 180° -76° = 104°
∠BGE is half the sum of arcs BE and FC, so is ...
∠BGE = (1/2)(arc BE +arc FC) = (138° +104°)/2
∠BGE = 121°
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(d) ∠MFB is the remaining angle in ∆MFB, so has measure ...
∠MFB = 180° -∠M -∠FBM = 180° -31° -38°
∠MFB = 111°
Answer:
≈ 5.8 units
Step-by-step explanation:
Calculate the distance using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (5, 5) and (x₂, y₂ ) = (10, 2)
d =
=
=
= ≈ 5.8 units ( to the nearest tenth )