Answer:
z=20.8
x=16.97
y=12
Step-by-step explanation:
The triangle on the right is a 30,60,90 triangle, a special right triangle with simple rules to find the side lengths. sides A,B, and C where C is the hypotenuse (24 in your diagram). The short side A is= 1/2 of side C (12 in your diagram). The long side B is= side A*√3 (20.8 in your diagram).
The triangle on the left is another special right triangle called a 45,45,90. The rules for this triangle are C= A*√2, and B=A. Because of the rules in the 30,60,90 triangle, we know that side A is 12. This means that side B (y)=12. Side C (x)= 16.97.
Hope this helped! Sorry if my explanation is confusing, but the rules for special right triangles can be easily found online and then calculated :)
Answer: 4 of everything
Step-by-step explanation:
Easy
4 and 1/3+7 and 1/5=4+1/3+7+1/5=4+7+1/3+1/5=11+5/15+3/15=11+8/15=11 and 8/15
answer is D
First, let's calculate how much money was deposited into his account.
33 × $348 = $11,484
Now, let's add that to his original amount of money in his account.
$11,484 + $1,618 = $<span>13,102
</span>
Next, let's calculate how much money was withdrawn from the account.
36 × $16 = $576
Now, you would subtract that from the account balance.
$13,102 - $576 = $<span>12,526
</span>
Then, you would add the deposit from his uncle to his account balance.
$12,526 + $261 = $<span>12,787
</span>
The last step would be to subtract the money for the bike.
$12,787 - $190 = $<span>12,597
</span>
Justin has $12,597 in his bank account.
I hope this helps! (Sorry to post this so late, my computer died before I could finish.)
Answer:
The correct option D.
Step-by-step explanation:
The given function is

Where f(d) is the height of the ball at horizontal distance d.
Put f(d)=0, to find the distance where the ball touch the ground.

Quadratic formula:

Using the quadratic formula we get


Therefore the ball is in air between d=-0.146 to d=9.146.
The distance can not be negative, therefore the ball remains in the air between d=0 to d=9.146.

Therefore the correct option is D.