Answer:
b = 159 m
a = 103 m
angle B is 57 degrees
Step-by-step explanation:
Let’s start with getting the measure of angle B
Mathematically, since we have a right triangle , we have to subtract the given angle from 90 to get the other acute angle
So we have the measure of B as;
90-33 = 57 degrees
To get the value of a, we use the appropriate trigonometric ratio
a faces the angle 33, that makes it an opposite to that angle
190 faces the right angle and that makes it the hypotenuse
Mathematically , the relationship between the two is that trigonometrically, they are related by the sine which is the ratio of the opposite to the hypotenuse
so, we have it that;
sine 33 = a/190
a = 190 * sine 33
a = 103 m
to get b, it is adjacent to the given angle
So with the hypotenuse, the ratio between it and the hypotenuse is the cosine
so;
cos 33 = b/190
b = 190 * cos 33
b = 159 m
Answer:
Step-by-step explanation:
Volume = L × W × H
Length L = 17in
Width W = 7in
Height H = 7in
Volume V = 17×7×7
V = 833
Volume = 833 in^3
Answer:
Step-by-step explanation:
Usimg formula for calculating compound interest.
A = P(1+r/n)^nt
P is the principal =$250
r is the rate = 5%
t is the time = 25years
n = 1/4(compounded quarterly)
Substituting to get the amount A.
A = 250(1+5/25)^25/4
A = 250(1+0.2)^6.25
A = 250(1.2)^6.25
A = 250(3.125)
A = $781.31
Hence the accumulated amount in Jessica's annuity after 25 years is $781.31
Answer:
B
Step-by-step explanation:
3x+33+6x=9x-33
9x+33=9x-33
33=-33
no solution
