15 POINTS. What is the area of the circle segment/shaded area? Picture included please help. Please answer in a way that will fill in the blanks, explanation preferred.
when a measurement in inches is converted to centimeters, will the number of centimeters be greater or less than the number of inches? Explain
Answers
greater because a centimeter is smaller than an inch.
Write an equation in standard form then solve 2q^2+22q+=-60
Answers
In standard form the equation reads 2q²+22q+60=0. In order to solve for q you have to factor the expression on the left first. Take out a factor of 2 and you have 2(q²+11q+30). Factor the inside and you have 2[(q+6)(q+5)]. Set the factors equal to 0 and solve and you finish with q=-6 or q=-5.
You pick a card at random. Without putting the first card back, you pick a second card at random. [1] [2] [3]
What is P(3, greater than 2)? Write your answer as a percentage.
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Probability of first getting a 3 = 4/52 = 1/13 The p(getting >2) = probability of getting one of the remaining 3's or 40 other cards ( Im taking the aces to be low value) = 43/51
Required probability = 1/13 * 43/51 = 43/663
If aces are counted high it will be 1/13 * 47/51 = 47/531
=
Oscar is sealing his boat with a special type of sealent. he needs to mix the sealant with water at a ratio of 3:2. How many gallons of water will he need if he planes to use 9 gallons of sealant?
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3/2 9/x . You have to cross Multiplty.
2*9=18 3*x= 3x
18=3x *Divide 3 from both sides
6=x
A cylinder has a base diameter of 10cm and a height of 14cm. What is its volume in cubic cm, to the nearest tenths place?
Answers
Volume of any cylinder = π times (radius)² times (height or length)
Radius of your cylinder = 1/2 of the diameter =5 cm