Answer:
d) ≤
Step-by-step explanation:
Geometric series are in the form of

Where a is the first term and r is the common ratio .
And it is given that




r=-3,2
So the first five terms are

= 2-6+18-54+162 or 2+4+8+16+32
= 122 or 62
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: - 32
Step-by-step explanation:
-8 + (-24)
Infront of the Positive is a one.
-8 +1 (-24)
If we follow order of operations which is parentheses, exponents, multiply divide, add, and subtract, we can see we need to multiply/ distribute first. And a positive times a negative is a negative.
-8 -24
Now we put the two numbers together.
-32
This is the answer