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KATRIN_1 [288]
3 years ago
10

Find m∠A. A. 32 B. 26 C. 27 D. 30

Mathematics
1 answer:
krok68 [10]3 years ago
3 0
<h3>Answer: B. 26</h3>

============================================

Use law of cosines to find angle A

a^2 = b^2 + c^2 - 2*b*c*cos(A)

9^2 = 6^2 + 14^2 - 2*6*14*cos(A)

81 = 36 + 196 - 168*cos(A)

81 = 232 - 168*cos(A)

81 - 232  = -168*cos(A)

-151  = -168*cos(A)

-168*cos(A) = -151

cos(A) = (-151)/(-168)

cos(A) = 0.8988095

A = arccos(0.8988095)

A = 25.9979801

A = 26 degrees approximately

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Step-by-step explanation:

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A bird flies from the bottom of a canyon that is 71 4/5 feet below sea level to a nest that is 875 7/10 feet above sea level. Wh
Rainbow [258]

The difference in elevation between the bottom of the canyon and the​ bird's nest is 947 1/2 feet

<h3>What is the difference in elevation between the bottom of the canyon and the​ bird's nest?</h3>

The given parameters are:

Nest = 71 4/5 feet above the seal level

Bottom of canyon = 875 7/10 below sea level

Below sea level means negative

So, we have:

Nest = 71 4/5 feet

Bottom of canyon = -875 7/10

The difference in elevation between the bottom of the canyon and the​ bird's nest is calculated as

Difference = |Nest - Bottom of canyon|

This gives

Difference = |71 4/5 - (-875 7/10)|

Evaluate the difference

Difference = |947 1/2|

Remove the absolute bracket

Difference = 947 1/2

Hence, the difference in elevation between the bottom of the canyon and the​ bird's nest is 947 1/2 feet

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Aaron invested $740 in an account paying an interest rate of 5%
vlada-n [284]

The amount of money   Justin would have in his account than Aaron, to the nearest dollar is $0

What is the future value formula for continuous compounding cash flow?

The future value, which is used to determine the worth of this investment of $740 made now in 18 years is as shown below:

FV=PV*e^(rt)

FV=the worth of the investment in 18 years=unknown

PV=the amount invested today=$740

e=mathematical exponential value=2.7182818

r=rate of interest which compounded continuously=5%

t=time of investment in years=18

FV=$740*2.7182818^(5%*18)

FV=$740*2.7182818^(0.90)

FV=$740*2.459603087981220

FV=$1,820.11

Justin:

FV=PV*(1+r/m)^(n*m)

PV=$740

r=5%

m=number of times in a year that interest is compounded=365

m=number of years=18

FV=$740*(1+5%/365)^(18*365)

FV=$1,819.99

difference=$1,820.11-$1,819.99

difference=$0.12($0 to the nearest dollar)

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1 year ago
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