Find the length of AC round to the nearest hundred

Option B. 9.11

Step-by-step explanation:

To find the length of line AB, we must first of all calculate the value of θ as shown in the attached photo.

The value of θ can be obtained as follow:

θ + 39° + 120° = 180° (sum of angles in a triangle)

θ + 159° = 180°

Collect like terms

θ = 180° – 159°

θ = 21°

Thus, we can obtain the length of line AB by using sine rule as illustrated below:

b/Sine B = c/Sine C

b = 16

Angle B = 39°

Sine C = 21°

c =?

b/Sine B = c/Sine C

16/Sine 39° = c/Sine 21°

Cross multiply

c × Sine 39° = 16 × Sine 21°

Divide both side by Sine 39°

c = (16 × Sine 21°) / Sine 39°

c = 9.11

Therefore, the length of line AB is 9.11

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

~

x-150=475   x=625

step-by-step explanation:

if the bike after the sale ($150) is $475 then just simply add 150 to 475.