Answer:
9
Step-by-step explanation:
By joining N to L, you will have a right angled triangle which is right angle at N. Then r^2+36=(3+x)^2. r=9/2. PQ=2r=9
Vcone=1/3(hpir^2)
Vsphere=(4/3)pir^3
evaluate
vcone=1/3(1pi1^2)=pi/3
vsphere=4/3pi1^3=4pi/3
pi/3 times what=4pi/3
times both sides by 3
pi times what=4pi
divide both sides by pi
1 times what=4
what=4
4 cones
Answer: 3.675 seconds
Step-by-step explanation:
Hi, when the object hits the ground, h=0:
h=−16t^2+48.6t+37.5
0=−16t^2+48.6t+37.5
We have to apply the quadratic formula:
For: ax2+ bx + c
x =[ -b ± √b²-4ac] /2a
Replacing with the values given:
a=-16 ; b=48.6; c=37.5
x =[ -(48.6) ± √(-48.6)²-4(-16)37.5] /2(-16)
x = [ -48.6 ± √ 4,761.96] /-32
x = [ -48.6 ± 69] /-32
Positive:
x = [ -48.6 + 69] /-32 = -0.6375
Negative:
x = [ -48.6 - 69] /-32 = 3.675 seconds (seconds can't be negative)
Feel free to ask for more if needed or if you did not understand something.
Answer:
Hi there the answer will be (3,11)
Since you are using the substitution way, you first plug in one of the y's into the other equation and you can see that they are set equal to each other.
2x+5=3x+2
Then you subtract 2x on both sides to get the x's on the same side
and you get 5=x+2
Then you subtract 2 on both sides, and you get x to equal to 3
then you plug x into any equation to get y to equal 11
y= 2(3)+5
To solve this expression, we need to follow the order of operations (BEDMAS)
50+0.5(41-32)
=50+0.5(9)
=50+4.5
=54.5
Your answer is 54.5
