Answer:
8/17
Step-by-step explanation:
The sine of an angle is defined as the opposite side to the reference angle divided by the hypotenuse.
The side opposite the angle is always the side not connected to the reference angle. In this case the opposite side = ZY
The hypotenuse = XZ
Sin(X) = ZY/XZ
Sin(X) = 1634 = 8 / 17
The limit is x---->4-
The negative show that x approaches from the left
Now
As x approaches 4 from the left ... Means This number should be less than 4 (<4) but really close to 4.
Let's pick a Number
Say 3.99
Substitute this... You have
3.99/3.99-4
3.99/-0.01
If we choose x to be 3.999
we will have
3.999/-0.001
Notice the pattern... As x approaches 4 from the left... This limit will approach NEGATIVE INFINITY
Why?
As you approach 4 from the left... 3.9,3.99,3.999... You notice that the denominator becomes negative and EXTREMELY SMALL... and when you divide by an extremely small Number..... You'll get a relatively HUGE VALUE(You can try this... Use a calc... Divide any number of choice by a very small number... say.. 0.0000001.... You'll get a huge result
In our case... The denominator is negative... So it Will Approach a very Huge Negative Number
Hence
Answer.. X WILL APPROACH NEGATIVE INFINITY.
Vertical asymptotes are the zeroes of the denominator of a function
The denom. is x-4
Equate to zero to get the asymptote
x-4=0
x=4
Hence... There will be a vertical asymptote at x=4.
Have a great day!
The area of that figure is 2453.25 square feet
First, you would need to find the area of the rectangle
(L)(W)
(70)(30)
2100
Then since it is only a semi circle, the formula is pi*r^2/2
You find the area of a full circle first
(3.14)(15^2)
(3.14)(225)
706.5
Then you divide that by 2 since it’s only half a circle
706.5/2 = 353.25
Finally you add that by the area of the rectangle
2100 + 353.25 = 2453.25 square feet
Answer: (-8/5,0)
Step-by-step explanation: If the slope is 5, m = 5
For (-1,3) we have x₀= -1 and y₀ = 3, to find the line equation
y - y₀ = m(x - x₀)
y - 3 = 5(x - (-1))
y - 3 = 5(x + 1)
y - 3 = 5x + 5
y = 5x + 8
A P that intersects the x axis has y = 0
0 = 5x + 8
5x = -8
x = -8/5
P (-8/5,0)
Answer:
It will take 6/13 hours to walk one mile
Step-by-step explanation:
Here, we want to calculate the number of hours it take to walk one mile
From the question, 1 1/2 miles take 3 1/4 hours
the number of hours it will take to walk 1 mile will be;
1 1/2 divided by 3 1/4
= 3/2 divided by 13/4
= 3/2 * 4/13 = 6/13 hours
