Answer:
-0.3125
Step-by-step explanation:
Subtract 3.5 from both sides
4t = -1.25
Divide both sides by 4
t =. -0.3125
Answer:
Step-by-step explanation:
We can use either angle, but I'm going to use the one on the bottom. So, in order to find x, we need to use tangent. One side we know is the adjacent, and the side we don't know is the opposite, therefore we need tangent. Here's the equation:
Obviously, we can't have a root in our denominator, so we need to get rid of it somehow. Here's how:
We multiply the denominator of the fraction by . multiplied by itself is simply 2. Try it! We also want to multiply the numerator by , but there isn't really a number we can use with that, so we'll just add it to the side. The equation you have now is:
Let's try to work this out now. Since the denominator is 2, we have to multiply both sides by it to find x.
We can plug 2 in for the x in the numerator now:
2 and 2 cancel out, so you get 1 in both the numerator and denominator. That's how we get our answer of 
Also, because this is a 45-45-90 triangle, you don't really have to do all that work. If it's a 45-45-90 triangle, both legs should be the same length. :)
Hey there!
The shape being described in letter A is a prism. A prism has two polygonal shapes on either end that can be any shape consisting of three or more sides. This won't be your answer, since cylinders have circular bases on either side.
The shape being described in letter B is a cylinder. Not sure why they needed to throw in the plane part, but this is the only answer that describes the bases as being circular (or, as they put it, discs).
The shape being described in letter C is a pyramid. If a shape has a polygonal base and meets at a point at the other end, it will be a pyramid. Obviously, a pyramid only has one end, meaning that this isn't your answer.
The shape being described in letter D is a cone. Again, if a shape has a base and meets at a point, it will be a pyramid. However, in the case of a cone, the base will be circular and the other side will meet at a point. The entire shape will be rounded where a pyramid would have edges. Again, not your answer.
Your answer will be B. Hope this helped you out! :-)
6 is the first quartile
Step-by-step explanation:
hope it helps!
Answer:
= 5 / 12
Step-by-step explanation:
Probability is an outcome of chance. It is a measure of outcomes of events.
To solve the probability of picking a Tootsie Pop, we must comfortably know the contents of the bag.
Number of GRAPE Tootsie pops = 5
Number of CHOCOLATE Tootsie pops= 8
Total number of Tootsie pops = The sum of both Tootsie pops
Total number = 5 + 8
= 13.
Let's note that tge question said , Juan pulls a chocolate Tootsie Pop and eats. The implication is it has reduced the total number of Tootsie Pops left in the bag.
Therefore:
The probability that the next pop he pulls out will be grape will be
Probability (Grape) = 5 / (13 -1)
= 5 / 12
The probability that the next Pop he pulls out will be a grape = 5/12
