Complete question is;
Find the exact values of the six trigonometric functions 0 if the terminal side of 0 in standard position contains the points(-5,-4).
Answer:
Sin θ = -4/√41
Cos θ = -5/√41
tan θ = 4/5
Cosec θ = (√41)/-4
Sec θ = (√41)/-5
Cot θ = 5/4
Step-by-step explanation:
Now, we are given the point (-5, -4)
These are x and y points.
They will form a triangle and we know that from pythagoras theorem;
x² + y² = r²
Where r is the distance between the point and the origin
Thus;
r² = (-5)² + (-4)²
r² = 25 + 16
r = √41
So, y is the opposite side of the triangle while x is the adjacent side with r being the hypotenuse.
Thus, the trigonometric ratios are;
Sin θ = opp/hyp = -4/√41
Cos θ = adj/hyp = -5/√41
tan θ = opp/adj = -4/-5 = 4/5
Cosec θ = 1/Sin θ = 1/(-4/√41) = (√41)/-4
Sec θ = 1/cos θ = 1/(-5/√41) = (√41)/-5
Cot θ = 1/tan θ = 1/(4/5) = 5/4
Since the problem is requesting the answer in minutes, we are going to convert the speed of Mr. Peter to miles per minutes; to do that, we are going to multiply his speed by the multiplier

:

Now, to find the distance from Boston to Worcester, we are going to use the distance formula:

where

is the distance

is the speed

is the time
We know that the speed of Mr. Peter is

and his time is 30 minutes. Lets replace those values in our formula:


Now, lets concentrate on Mr. Peter clone, Mr. P:
Lets convert the speed of Mr. P to miles per minute:

We also know that they will cover the same distance, 30 miles. Lets replace the values in our formula one more time to find t:




But since Mr. P <span>leaves 5 minutes after Mr. Peters, we need to add those 5 minutes to M. P's time:
</span>

We can conclude that Mr. P will arrive first, 5 minutes before Mr. Peter.
Answer:
here, 1m= 39.37 inches
or, 39.37 inches =1m
or, 3000 inches = 3000÷39.37 m
therefore, the measurement in m is 76.20015 m
hope it will help uh..
Answer:
y = 3z -x^3
Step-by-step explanation:
Answer: The last option, Stacy is incorrect because she should multiply 2 and 2 first and then subtract 4 from 12.
Step-by-step explanation:
We must follow the Order of Operations, also known as PEMDAS. See attached. Multiplication comes before subtraction, but Stacy subtracted 2 from 12 when she should have multiplied 2 by 2. This means the answer to your question is;
Stacy is incorrect because she should multiply 2 and 2 first and then subtract 4 from 12.