The distance between the points A to B is 899.9 feet. After rounding off the nearest integer we get 900 feet as the final answer.
Given we know that CD is perpendicular to AD.
The distance between CD is 139 feet.
As from points A the boat's crew measure the angle of elevation to the beacon as 6°
therefore, m∠A = 6°
Another time the angle of elevation is measured from point B which is 19°.
therefore, m∠DBC = 19°
tan 19° = CD/BD
BD = CD/tan19°
BD = 136/tan 19°
now for tan 6° = CD/AD (tangent is opposite over adjacent)
AD = CD/tan 6°
AD = 136/tan 6°
AB = AD ₋ BD
AB = 136/tan 6° ₋ 136/tan 19°
AB = 1295.2 ₋ 395.3
AB = 900 feet
hence the distance from point A to B is 900 feet.
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<em>Option:</em>
<em>a. for every 13 dogs, there are 25 cats.
</em>
<em>b. there are twice as many cats as dogs at the shelter.
</em>
<em>c. the shelter has more dogs than cats.
</em>
<em>d. there are 25 animals in the shelter.</em>
Answer:
a. for every 13 dogs, there are 25 cats.
<em></em>
Step-by-step explanation:
Represent Dogs with D and Cats with C;
So;

By comparison:


This implies that:
For every 13 D, there are 25 C
Hence: Option A is true
You can factor a parabola by finding its roots: if

has roots
, then you have the following factorization:

In order to find the roots, you can use the usual formula

In the first example, this formula leads to

So, you can factor

The same goes for the second parabola.
As for the third exercise, simply plug the values asking

you get

Add 3 to both sides:

Divide both sides by 1.5:

Answer:
33.3cm²
Step-by-step explanation:
9 multiplied by 3.7 is equal to 33.3cm²