I end up with 625pi(27^2-14^2)
=635pi(504)
=315000pi lb-ft
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:
approximately 12 payments.
Step-by-step explanation:
you can pay off the loan in a year by multiplying 87.25 and 12. this will give you 1047, which is about 28$ off. then after that year, you can pay off the $28 whenever you finish with the 87.25
Answer:
The answer to your question is: y = -8/3 x - 11
Step-by-step explanation:
A (-6, 5)
B (-3, -3)
Process
1.- Find the slope of the line
Formula

Substitution

Simplifying

2.- Find the equation of the line
Formula
( y - y1) = m(x - x1)
Substitution
( y + 3) = -8/3 (x + 3)
Simplifying
y + 3 = -8/3 x - 8
y = -8/3 x - 8 - 3
y = -8/3 x - 11
Answer: We reject the null hypothesis, and we use Normal distribution for the test.
Step-by-step explanation:
Since we have given that
We claim that
Null hypothesis : 
Alternate hypothesis : 
There is 5% level of significance.

So, the test statistic would be

Since alternate hypothesis is left tailed test.
So, p-value = P(z≤-2.31)=0.0401
And the P-value =0.0401 is less than the given level of significance i.e. 5% 0.05.
So, we reject the null hypothesis, and we use Normal distribution for the test.