Answer:
cot theta = -√3
Step-by-step explanation:
we are given that cos theta = - √3/2 within the range 180° < theta < 270° and
since cos theta = adj/hyp
adj = - √3
hyp = 2
Get the opposite using the pythagoras theorem
hyp^2 = opp^2 + adj^2
2² = opp² + (-√3)²
4 = opp² + 3
opp² = 4-3
opp² = 1
opp = 1
tan theta = opp/adj
tan theta = - 1/√3
Recall that cot theta = 1/tan theta
cot theta = 1/(-1/√3)
cot theta = -√3
Answer:
KL ≈ 1.94
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos48° =
=
=
( multiply both sides by KL )
KL × cos48° = 1.3 ( divide both sides by cos48° )
KL =
≈ 1.94 ( to the nearest hundredth )
The face value of the largest 20-year term policy which Maria can buy without spending more than $300 annually is $158,000.
<h3>What is face value?</h3>
Face is the term used in finance, is used for the amount which has to be paid to the policyholder at the time of maturity.
Maria, age 28, wants to pay no more than $300 a year in life insurance.
The period for this policy is 20-year term.
Annual life insurance premium (per 1,000 dollars of face value) for age 28.
- A 10-year term for female is 1.28,
- A 15 year term for female is 1.54,
- A 20 year term for female is 1.89,
- A whole life for female is 9.46.
For the 20 year term for female is 1.89 and annular premium is $300. Thus, the face value is,

Thus, the face value of the largest 20-year term policy which Maria can buy without spending more than $300 annually is $158,000.
Learn more about the face value here;
brainly.com/question/25596583
Answer:
<h2>The distance to the Eath's Horizon from point P is 352.8 mi, approximately.</h2>
Step-by-step explanation:
You observe the problem from a graphical perspective with the image attached.
Notice that side
is tangent to the circle, which means is perpendicular to the radius which is equal to 3,959 mi.
We have a right triangle, that means we need to use the Pythagorean's Theorem, to find the distance to the Earth's Horizon from point P.
The hypothenuse is 3959 + 15.6 = 3974.6 mi.

Therefore, the distance to the Eath's Horizon from point P is 352.8 mi, approximately.
<span>proportional function equation is <span>y = kx
x = age
y = dollars
k = amount per
Q18
I believe father side would be y = 5x
mother side would be y = 2x
Q19
at 16 they would receive 80 from father side
and receive 32 from mother side
which is a difference of 48dollars.
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