Answer:
C
Step-by-step explanation:
Given
(3x + 7)(2x - 6)
Each term in the second factor is multiplied by each term in the first factor, that is
3x(2x - 6) + 7(2x - 6) ← distribute both parenthesis
= 6x² - 18x + 14x - 42 ← collect like terms
= 6x² - 4x - 42 → C
Answer:
- 5.8206 cm
- 10.528 cm
- 23.056 cm^2
Step-by-step explanation:
(a) The Law of Sines can be used to find BD.
BD/sin(48°) = BD/sin(50°)
BD = (6 cm)(sin(48°)/sin(60°)) ≈ 5.82064 cm
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(b) We can use the Law of Cosines to find AD.
AD^2 = AB^2 +BD^2 -2·AB·BD·cos(98°) . . . . . angle ABD = 48°+50°
AD^2 ≈ 110.841
AD ≈ √110.841 ≈ 10.5281 . . . cm
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(c) The area of ∆ABD can be found using the formula ...
A = ab·sin(θ)/2 . . . . . where a=AB, b=BD, θ = 98°
A = (8 cm)(5.82064 cm)sin(98°)/2 ≈ 23.0560 cm^2
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Angle ABD is the external angle of ∆BCD that is the sum of the remote interior angles BCD and BDC. Hence ∠ABD = 48° +50° = 98°.
2 because if 1/2 of 8 is 4 and 1/4 of 8 is = to 1/2 of 4, then 1/4 of 8 must be 2.
Answer:
D) 18.37 feet
Step-by-step explanation:
5.6 x 3.28 = 18.37 feet
