A sea lion dives to an altitude of -216.12 meters in 2.4 minutes. What is the average change in his altitude per minute?

(9CQ) Find the distance from the balloon to the soccer fields.

almond37 [142]

Answer:

The distance from the balloon to the soccer fields = 3.6 miles ⇒ answer (b)

Step-by-step explanation:

* Let the hot air balloon at point A , the soccer fields

at point B and the football field at point C

∵ The measure of the angle of depression to the

soccer fields is 20° 15'

∴ The measure of angle B = 20° 15'

∵ The measure of the angle of depression to the

football field is 62° 30'

∴ The measure of angle C = 62° 30'

∵ The sum of measures of the interior angles of any triangle = 180°

∴ The measure of angle A = 180 - (20° 15' + 62° 30') = 97° 15'

* The distance between the balloon and the soccer field

is represented by the side AB of triangle ABC

- Use the sin Rule to find the length of side AB

∵ a/sin(A) = b/sin(B) = c/sin(C)

- a is the side opposite to angle A, b is the side opposite

to angle B and c is the side opposite to angle C

∵ AB = c ⇒ opposite to angle C

∵ The distance between the two fields = 4 miles

∴ BC = 4 miles

∵ BC = a ⇒ opposite to angle A

∴ 4/sin(97° 15') = c/sin(62° 30')

∴ c = (4 × sin(62° 30')) ÷ sin(97° 15')

∴ c = 3.6 miles

∴ The distance from the balloon to the soccer fields = 3.6 miles

answer (b)

4 0

3 years ago

PLEASE HELP

andre [41]

A. isolating the x² term and finding the square root of both sides

7 0

3 years ago

Read 2 more answers

Can someone please help me?

garik1379 [7]

The answer is b). (0,0)

8 0

3 years ago

It has been estimated that the population of Indianapolis is growing at a rate of 0.9% per year. Assuming that population growth

Mumz [18]

Answer:

2,136,605

Step-by-step explanation:

To estimate growth, we use the formula shown below:

$F=P(1+r)^t$

Where

F is the future amount (we want to find for Jan 2024)

P is the present amount (present population of 1,988,817)

r is the rate of growth (0.9% means 0.009)

t is the time in years (from Jan 2016 to Jan 2024 is 8 years, t = 8)

Let's put these into the formula and figure out F:

$F=P(1+r)^t\\F=1,988,817(1+0.009)^8\\F=2,136,604.5$

Rounding we get the population in Jan 2024 to be 2,136,605

3 0

3 years ago

Need help ASAP! Show work if you can, it’s fine if not tho!

Elza [17]

Answer:

Step-by-step explanation:

(2(6) - 3(10)^2)/(|6 - 10)|

(12 - 300)/|-4|

-288/4 = -72

answer is c

3 0

3 years ago

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