Answer:
(a) 4
(b) 2√3
(c) 60°
(d) 120°
Step-by-step explanation:
(a) The relationship between tangents and secants is ...
CB^2 = CD·CA
Filling in the given values, we find ...
CB^2 = 2·(2+6) = 16
CB = √16 = 4
The length of BC is 4 units.
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(b) Triangle ABC is a right triangle, so the sides of it satisfy the Pythagorean theorem.
CA^2 = CB^2 +AB^2
8^2 = 16 +AB^2
AB = √48 = 4√3
The radius is half the length of AB, so the radius is 2√3.
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(c) The measure of angle C can be determined from the cosine relation:
cos(C) = CB/CA = 4/8 = 1/2
C = arccos(1/2) = 60°
The measure of angle C is 60°.
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(d) Arc AD is intercepted by angle ABD, which has the same measure as angle C. Hence the measure of arc AD is twice the measure of angle C.
The measure of arc AD is 120°.
Answer:
5
Step-by-step explanation:
move the terms 6x-4=16+2x
collect like terms 6x-2x=16+4
divide both sides 4x=20
x=5
To answer the question above, directly substitute the given price which is $100 to all the x's of the given equation,
C = 0.765x + 0.06 (0.765x)
C = (0.765) ($100) + 0.06 (0.765) ($100) = 81.09
Thus, Chris would have to pay only $81.09.
Answer:
It'll take 25 more minutes
Step-by-step explanation:
Answer:
(x+4)(x+2)
Step-by-step explanation:
Distributive property of 2 binomials:
First, outer, inner, last
(a+b)(c+d) = ac+ad+bc +bd
Factor x^2 into x*x
Factor 8 into 2*2*2
Find what two numbers add up to 6 and multiply to get 8
1 and 8 do not work because they add up to 9. 2 and 4 work because they add up to 6.
Check: (x+4)(x+2)
First: x*x = x^2
Outer: 2*x
Inner: 4*x
Last: 2*4 = 8
Add together: x^2+2x+4x+8 = x^2+6x+8