Answer:
d = k·sin(2θ)·sin(α)/(sin(θ)·sin(β))
Step-by-step explanation:
The Law of Sines tells us that sides of a triangle are proportional to the sine of the opposite angle. This can be used along with a trig identity to demonstrate the required relation.
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<h3>top triangle</h3>
The law of sines applied to the top triangle is ...
BC/sin(A) = AC/sin(θ)
Triangle ABC is isosceles, so the base angles at B and C are congruent. Then the angle at vertex A is ...
∠A = 180° -θ -θ = 180° -2θ
A trig identity tells us the sine of an angle is equal to the sine of its supplement. That means the sine of angle A is ...
sin(A) = sin(180° -2θ) = sin(2θ)
and our above Law of Sines equation tells us ...
BC = sin(A)/sin(θ)·AC = k·sin(2θ)/sin(θ)
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<h3>bottom triangle</h3>
The law of sines applied to the bottom triangle is ...
DC/sin(B) = BC/sin(D)
d/sin(α) = BC/sin(β)
Multiplying by sin(α) we have ...
d = BC·sin(α)/sin(β)
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Using our expression for BC gives the desired relation:
d = k·sin(2θ)·sin(α)/(sin(θ)·sin(β))
Answer: -3
Step-by-step explanation: m= -5-7/2+2=-12/4=-3
M=-3
Answer:
a) Response error
b) coverage error
c) coverage error
Step-by-step explanation:
Given situation:
(a) You want to know about the dating habits of college students, so you go to a dorm meeting and ask students how many dates they have had in the last year.
Solution:
In such situations the dating habits is a private matter for every individual and would not be truy expressed or conveyed in a dorm meeting. The true response would either be false or hidden in context of a public gathering.. So the likely error would be " Response error"
Given situation:
b) You want to know how often people attend religious services, so you stand outside a particular church on Sunday and ask entering individuals how often they attend.
Solution:
The collection of sample from a "particular" church limits the diversity of responses. The spread of the data might be skewed to certain geographical or population or ethnical locations. A better coverage would be recommended for accurate sampling. Hence, "coverage error"
Given situation:
(c) You want to know how often people eat at McDonald's, so you stand outside a particular McDonald's and ask entering customers how often they eat at McDonald's.
Solution:
The collection of sample from a "particular" McDonalds limits the diversity of responses. The spread of the data might be skewed to certain geographical or population or ethnical or lifestyles. A better coverage would be recommended for accurate sampling. Hence, "coverage error"
Answer:
So, the present accumulated value is, $ 49557.69
Step-by-step explanation:
According to the question, payments of $ 670 are being made at the end of each month for 5 years at an interest of 8% compounded monthly. So, present accumulated value, =
$ 
= $ 
$ 49557.69
So, the present accumulated value is, $ 49557.69
