Answer:75
Step-by-step explanation:
Answer:
Step-by-step explanation:
First, the acceleration of gravity is -9.8m/s^2. This still works out since the formula uses 1/2 of it.
Hopefully you see where the other parts come from. Anyway, standard form of a quadratic is ax^2+bx+c=0. So this is almost there. You just need to subtract that 2.1 from both sides.
-4.9t^2+7.5t+-.3=0
Now with this, since it has taken into account the height that the ball was caught with that 2.1, you just need to find the 0s, which is what the quadratic equation does.
The quadratic equation is (-b±sqrt(b^2-4ac))/(2a) and we have a = -4.9, b = 7.5 and c = -.3. Remember you want to keep the signs. Now we just plug in.
(-b±sqrt(b^2-4ac))/(2a)
(-7.5±sqrt((-7.5)^2-4*-4.9*-.3))/(2*-4.9)
(-7.5±sqrt(56.25-5.88))/(.9.8)
(-7.5±sqrt(50.37))/(-9.8)
(-7.5±7.097)/(-9.8)
The plus or minus means there are two equations.
(-7.5+7.097)/(-9.8) and (-7.5-7.097)/(-9.8) So we will solve for both of these.
.04112 and 1.4895. That means these two times are when the ball is at 2.1 meters. One time on the way up and one time on the way down. We can safely assume that the other player catches the ball on the way down, so we want to use the second time, so 1.4895 seconds.
9514 1404 393
Answer:
71°
Step-by-step explanation:
Opposite angles of an inscribed quadrilateral are supplementary.
∠H = 180° -109° = 71°
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<em>Additional comment</em>
The above rule comes from the more general rule that the measure of an inscribed angle is half the measure of the arc it intercepts. Here, inscribed angle J intercepts arc GHI, so that arc has measure 2×109°. Then the measure of short arc GI is 360° -2×109°, and inscribed angle H is half that:
∠H = (1/2)(360° -2×109°)
∠H = 180° -109° = 71°
1) ANSWER: 1/2, 50%
2) 9+3+4 = 16 4/16 = (1/4, 25%) ANSWER: 1/4, 25%
{Put 4 over 16, because 16 is the total, 4 is the amount of white marbles}
3) ANSWER: 2/3, roughly 66.6%
4) 5+3+2+5 = 15 , 3+2 = 5, 5/15 = 1/3, roughly 33.3%
{Add the total amount of pennies, dimes, nickels, and quarters, and find how many Dimes and Nickels there are combined, put that over the total, simplify}
ANSWER: 1/3, 33.3%
5) , if it’s asking a number 1 card it would be 4/52 = 1/13 = roughly 8% , if it’s asking just one card from the whole deck then 1/52, roughly 2% ANSWER: 1/13, 8% OR 1/52, 2%
6) 6+7+9+15 = 37, 15/37 {Yellow over total amount of m&m’s} Roughly 41%
ANSWER: 15/37, 41%
7) 2+5+8+3= 18 - 8 = 10, 10/18, roughly 55.5%
{It says that’s NOT green, so add up all them, and subtract the green ones, take that number over the total, and that’s your answer} ANSWER: 5/9, 55.5%
8) 11 letters in the world PROBABILITY, 4 vowels, 4/11, roughly 36% ANSWER: 4/11, 36%
9) 4& 6 are two numbers, that’s 6 - 2, 2/3, ANSWER 2/3, 66.6%
Hope this helps.
