Answer:
Part 1) 
Part 2) 
Part 3) 
Part 4) 
Step-by-step explanation:
step 1
Find the measure of angle C
we know that
The triangle ABC is a right triangle
so
Angle C is a right angle
therefore

step 2
Fin the measure of angle A
we know that
In the right triangle ABC
∠B+∠A=90° -----> by complementary angles
we have

substitute


step 3
Find the length side b
we know that
In the right triangle ABC


substitute the given values

step 4
Find the length side a
we know that
In the right triangle ABC


substitute the given values

Answer
Seasons.
Step-by-step explanation:
When the earth revolves around the sun it moves to different spots near the sun. This causes weather to change and the seasons.
Answer:
D) x<0 or x>3
Step-by-step explanation:
x(x-3)>0
either x>0 and x-3>0 .... positive-positive=positive so x>3
or x<0 and x-3<0 ..... negative-negative=positive so x<0
if x=0 then x(x-3)=0
(8,5)(-12,-9)
slope = (-9 - 5) / (-12 - 8) = -14/-20 = 7/10
y = mx + b
slope(m) = 7/10
use either of ur points.....(8,5)....x = 8 and y = 5
now we sub and find b, the y int
5 = 7/10(8) + b
5 = 56/10 + b
5 - 56/10 = b
50/10 - 56/10 = b
-3/5 = b
so ur equation is : y = 7/10x - 3/5.....now we put it in standard form
y = 7/10x - 3/5...multiply by 10
10y = 7x - 6.....subtract 7x
-7x + 10y = -6....multiply by -1
7x - 10y = 6
So.....7x - 10y = 3.... IS NOT a good model. Because ur points are not a solution to ur equation.
Step-by-step explanation:
A left Riemann sum approximates a definite integral as:

Given ∫₂⁸ cos(x²) dx:
a = 2, b = 8, and f(x) = cos(x²)
Therefore, Δx = 6/n and x = 2 + (6/n) (k − 1).
Plugging into the sum:
∑₁ⁿ cos((2 + (6/n) (k − 1))²) (6/n)
Therefore, the answer is C. Notice that answer D would be a right Riemann sum rather than a left (uses k instead of k−1).