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°.
Answer:
26
Step-by-step explanation:
18 - 2^4 * (-0.5)
Calculate 2 to the power of 4 and get 16.
18−16(−0.5)
Multiply 16 and −0.5 to get −8.
18−(−8)
The opposite of −8 is 8.
18+8
Add 18 and 8 to get 26.
26
Answer:
answer: 5x + 10
Step-by-step explanation:
The distributive property (of which this is an example) demands that the 5 must multiply the x (which was done correctly) to give 5x
But the problem becomes undone when you forget about the 2. You must multiply the 2 by 5 as well to give 10.
The plus sign cannot be destroyed. The terms are not alike. So the answer is 5x + 10
This is your answer.... all you are doing is substituting what ever the variable is
First off, we have to divide 100 by 10 to get 10%. That would be ten. So in conclusion, 10% of 100 is 10
