Answer:
5.498 - C
Step-by-step explanation:
Length of an arc = tetha/360 × 2 × pi × r
Converting 7pi/4 to tetha
(7 × 180) / 4 = 315°, since pi = 180°
Plugging values to the formula:
315/360 × 2 × 3.142 × 1 = 5.498units
Answer:
x+1
Step-by-step explanation:
We know that x^2 -6x-7 is the product of two binomials.
We can solve this two ways, but the easier way is to simply factor rather than divide the area by width.
Two numbers, one of which being -7 allows for the sum of -6 and the product of -7.
Using this information, we can identify the other number is 1, so the length is x+1.
Answer: point estimate = 3.88
Margin of error = 0.63
Step-by-step explanation:
Confidence interval is written in the form,
(Point estimate - margin of error, Point estimate + margin of error)
The sample mean, x is the point estimate for the population mean. Let m represent the margin of error. Since the confidence interval is given as (3.25 , 4.51), it means that
x - m = 3.25
x + m = 4.51
Adding both equations, it becomes
2x = 7.76
x = 7.76/2
x = 3.88
Substituting x = 3.88 into x + m = 4.51, it becomes
3.88 + m = 4.51
m = 4.51 - 3.88
m = 0.63
ANSWER
By simplifying the left hand side using the Pythagorean Identity.
EXPLANATION
The given identity is

Take the left hand side and simplify to get the right hand side.

Collect LCM for the denominators.

Recall the Pythagorean Identity.

This implies that:

We substitute this to get,


So to solve it the equation is a squared plus b squared = c squared. So you square a and b. Then do the square root of that and should get c. C is always the largest side. C is opposite from a 90 degree angle . Hope this helps you answer your question.