Answer:

Step-by-step explanation:
<u>Trigonometric Ratios
</u>
This problem will be solved by the use of a trigonometric ratio called sine because it relates the opposite side of a given angle with the hypotenuse of the triangle.
Selecting the angle of 60° in triangle ABD:
<em>Sine Ratio
</em>


Solving for BD:

Since


Simplifying:

Answer: Option D
Step-by-step explanation:
The equation of the line, by definition, has the following form:
y=mx+b
Where m is the slope and b is the y-intercept
As you can see in the graph, the line intercept the y-axis at 2, therefore b=2.
Now, to find the slope, choose any point of the line and solve for m:
Point (1,1)
1=m(1)+2
-1=m
Then, the equation is:
y=-x+2
Answer:
5
Step-by-step explanation:
divide everything by 4
=(2x-1) +2 = x + 6
regroup
=2x = x + 5
x = 5
The way Maria calculates the final price of the book is correct. We know that the book normally sells for $26.50 plus a 10% sales tax. We also know that the students will receive an additional 25% discount. We must understand that the sales tax is applied to the discounted price. So first we will calculate 25% of 26.50 and subtract it from that amount. So the price will then be: (26.50 - 6.625). The price is now $18.34. Then to calculate the tax, it will be (10% * 18.34), so 1.834. We add this amount to the discounted price so: (18.34+1.834) = 20.12.
The final price of the book is $20.12 and Maria can get it and still save a little money
The answer is D. 36pi units^3
Hope this helps!
The formula for cylinder volume is: pi*r^2*h