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°.
Yes y is a function of x.
Rewrite the function using algebra to get this:
y = -x + 2
That forms an equation of a line whose slope is -2 and whose y-intercept is 2
Answer:
<h2>x = 5.7</h2>
Step-by-step explanation:
To find x first cross multiply
We have
7x = 8 × 5
7x = 40
Divide both sides by 7
That's
x = 5.7142
We have the final answer as
<h3>x = 5.7 to the nearest tenth</h3>
Hope this helps you
Answer: b=9
Step-by-step explanation: To find the slope we use: y2-y1/x2-x1
Which would then be: 5-b/-2-7= 5-b/-9
Then we have to find a number for b that would give us -4 as the numerator. That number would be 9
This would give us 4/9 which is the slope we already had.
