Answer:
420
Step-by-step explanation:
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Answer:
1. x= -12
2.p= 30
3.c= 9/10 or c= 0.9
4.m= 3
5.k= 5
6.a= 27
Step-by-step explanation:
Sec θ = 3
1/cos θ = 3
cos θ = 1/3
csc (90 - θ) = 1/sin (90 - θ) = 1/cos θ = 1/(1/3) = 3
Therefore, csc (90 - θ) = 3.
<h2>
Answer:<u><em>
Similar steps because their corresponding angles are congruent and their corresponding side lengths are in the ratio 2 Over 1 from Triangle K L M to triangle N P Q.</em></u></h2>
Step-by-step explanation:
A.) To find the height (h) of the cone we'll use the slant height (s) and the radius of the hemisphere (r). By Pythagorean Theorem;
s^2 = h^2 + r^2
h^2 = s^2 - r^2
h^2 = 6.1^2 - 1.1^2
h^2 = 37.21 - 1.21
h^2 = 36
h = sqrt(36)
h = 6 cm.
b.)To find the volume of crystal pendulum (V) we'll add the volume of the cone (V1) and the volume of hemisphere (V2).
V = V1 + V2
V1 = (1/3)(pi)(r^2)(h)
V1 = (1/3)(1.1^2)(6)(pi)
V1 = 2.42pi
V2 = (4/3)(pi)(r^3)(1/2) [ multiplied by 1/2 because it is a hemisphere]
V2 = (2/3)(pi)(r^3)
V2 = (2/3)(1.1^3)(pi)
V2 = 0.8873pi
V = V1 + V2
V = 2.42pi + 0.8873pi
V = 3.3073pi cm^3
V = 10.39 cm^3
. Now we can factor to find the solutions. What we ask ourselves here is "What 2 numbers will add to be +4 and multiply to be -21?" +7 and -3 work because 7-3 = 4 and 7 * -3 = -21. So our factors are (x+7)(x-3). Our solutions, however, are found using the Zero Product Property. If x + 7 = 0, then x = -7. If x - 3 = 0, then x = 3. So our solutions are x = -7 and x = 3.