Answer:
45.0
Step-by-step explanation:
44.981 = 45.0 (to 3 s.f.)
*important point to note: the 0 must be included as the question asked for 3 significant figures. In this case, 0 is significant.
I hope this helps :)
Would double check all answers just in case
First divide 17 by 24
This equals .7083333
To change a decimal to a percent, move the decimal 2 places to the right
Percent= 70.833%
Answer is 70.83%
(The 3 is repeating)
To find the time to reach the maximum height you can subtract the constant 6 and write the function as:
h'(t) = -16t^2 + 50t
Then factor it: h'(t) = -2t(8t-25)
Then find the two roots:
t =0 and
8t - 25 = 0 ⇒ t = 25/8 = 3.125
The vertex is in the half between 0 and 3.125, i.e. [0+3.125]/2 = 1.5625
Then the time searched is approximately 1.56 seconds.
Answer:
11: x=90 and y=10
12: x=59 and y=48
14?: x = 28, y = 20 and z = 56
15: x = 4 and y = 53
Step-by-step explanation:
11: Since two sides are parallel, you can draw a transversal (a line that crosses through both) that makes sure all angles it makes are 90 degrees. (let me know if that doesn't make sense. Now you have two trapezoids. One has angle measures 90+90+90+x=360 and the other has 90+90+77+y = 360. Doing some quick algebra gets you x=90 and y=10
12: We do the same thing, transversal throught he parallel lines to get four 90 degree angles. Now 360 = 90 + 90 + 2x + 62 makes x = 59 and 360 = 90 + 90 +3 y + 42 makes y = 48
(14? the one to the left of 15): Could do the same thing to solve for x, then we need to do something different for y and z. so first 90 + 90 + 68 + 4x = 360 so x=28. Now, since this is an isosceles trapezoid it means the two top angles are equal and the two bottom angles are equal. so 68 =3y+8 so y = 20 and 2z = 4x = 4(28) makes z = 56
for 15 we'll start with y. We will call the two equal angles a, because we need to use them. Since the top and bottom parts are parallel, 106 + a = 180 and 2y + a = 180. Use a system of equations to find a = 74 and y = 53 (You just needed y of course). since 2y=106, we know that 4x=6x-8 so then we can solve for x = 4
