Answer:
C
Step-by-step explanation:
An approximation of an integral is given by:
First, find Δx. Our a = 2 and b = 8:
The left endpoint is modeled with:
And the right endpoint is modeled with:
Since we are using a Left Riemann Sum, we will use the first equation.
Our function is:
Therefore:
By substitution:
Putting it all together:
Thus, our answer is C.
*Note: Not sure why they placed the exponent outside the cosine. Perhaps it was a typo. But C will most likely be the correct answer regardless.
Answer:
B.
Step-by-step explanation:
Since two diameters are intersecting eachother, the angles inside them would be vertical angles so they'll be congruent.
So
m<LYM = m<JYM
Also their arcs would be equal to their angles measures so,
Arc JK = 52°
Answer:
Step-by-step explanation:
a.) y = 25x + 15
b.) y is the total cost x is the amount of nights stayed 15 is the entrance fee and 25 is the cost per night
i.) x is the amount of nights stayed y is the total cost
ii.) slope (or m) is 25 y-intercept is 15
c.) plug in 3 for x
y = 25(3) + 15
y = 75 + 15
y = 90
its $90 for 3 nights
hope this helps <3
Answer:
(14, -2)
Step-by-step explanation:
To solve by using substitution, begin by solving for a variable in the first equation. Let's solve for x:
Now we know what <em>x</em> equals. Let's substitute this into the second equation:
We can then simplify:
Given equation
Combine y terms
Add 2
Divide by -11
So, we now know the value of y = -2.
To find the value of X, we can substitute the value of Y into one of the equations. Let's use the first one:
Substitute for y
Distribute 8
Add 16
So, we now know the value of x = 14.
Therefore, we know a solution to the system of equations is (14, -2).
Answer:
11/61
Step-by-step explanation:
cos b = adj side/hypotenuse
=11/61
