Answer:
Height=9/2=4.5
A=1/2*b*h
A=1/2*6*4.5
A=13.5
13.5*2=27
The area of the shaded region is 27.
There were 3 8-ounce glasses left, because 32 ounces - 8 ounces = 24 ounces, and 24/8 = 3. Hope this helped.
By definition
... sec(θ) = 1/cos(θ) . . . . trig identity
... sec(θ) = 1/(9/10) . . . . substitute the given value, then simplify to ...
... sec(θ) = 10/9
Well, whenever a number is next to a variable or next to parenthesis, (a variable is the letter[s] used to represent a value in the problem, such as 3b in this question), that means you would multiply the number times the letter, or the number times the answer in the parenthesis. So since we know a = 9, and b = 2, let's solve the equation now! :D
Now according to the order of operations of PEMDAS, let's solve what's in parenthesis first.
5(a + 3b)
⇒ a + 3b
⇒ a (a = 9), + 3 times b (b = 2)
⇒ 9 + 3 × 2
⇒ 9 + 6
⇒ 15.
⇒ 5(15)
⇒ 5 × 15
⇒ 75.
After doing all steps with the help of the order of operations of PEMDAS, your final answer would be 75. =)
I hope I helped! ^-^
The x variable is the first number in the parentheses. (X,Y) so you would go to -2 on the X axis(the horizontal line) and then go up 5 which is the y axis
