Rewriting the left hand side,
csc²t - cost sec t
= (1/sin²t)-(cost)(1/cost)
= 1/sin²t - 1
= 1/sin²t - sin²t/sin²t
= (1-sin²t)/sin²t
= cos²t/sin²t
= cot²t
<span>To rewrite the expression as a multiple of a sum of two numbers with no common factor, we're supposed to find the greatest common factor between the terms and factor it out. </span>We can see that both 15 and 24 are divisible by 3. So let's factor the 3 out. Since the 3 goes into 15 five times and into 24 eight times, the expression can be rewritten like this.
15 + 24 = 3(5 + 8)
It would be 30 students from his class roster because not every kid would have his math class in the other options.
Answer:
1(5/16)=1.3125
7(5/16)=7.3125
26(5/16)=26.3125
Step-by-step explanation:
Given that 5/16=0.3125, the mixed fraction 1(5/16)=1+(5/16)=1+0.3125=1.3125
Also, 7(5/16)=7+(5/16)=7+0.3125=7.3125
Furthermore,
26(5/16)=26+(5/16)=26+0.3125=26.3125
In the same vein, given that 4/15=0.266
1(4/15)=1+(4/15)=1+0.266=1.266
17(4/15)=17+(4/15)=17+0.266=17.266
23(4/15)=23+(4/15)=23+0.266=23.266
Answer:
Value of the independent variable = 25
Step-by-step explanation:
y-intercept form of a straight line is represented by the equation,
y = mx + b
here y = dependent variable
m = slope
b = y intercept or vertical intercept
x = independent variable
In our question,
y-intercept 'b' = 150
slope of the line 'm' = 4
dependent variable y = 250
We will plug in these values in the equation of the line to get the value of the independent variable.
250 = 4x + 150
250 - 150 = 4x
x = 
x = 25
Therefore, value of the independent variable is 25.
