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3 years ago

8=1/3(a+5) What does a equal?

Mathematics

2 answers:

balu736 [363]3 years ago

7 0

Answer:

Step-by-step explanation:

First distribute the 1/3 to the "a" and the 5, which leaves you with 8= 1/3a+ 5/3.

Then subtract 5/3 from both sides. 8-5/3, which solves out to 19/3= 1/3a. Now times both sides by 3/1 (the reciprocal of 1/3 to get it to cancel out) 19/3*3. The 3's cancel out and you are left with 19=a.

I hope this helped! :)

IrinaK [193]3 years ago

6 0

Answer: a=19

Step-by-step explanation: In order to solve this question, we must first take out the parenthesis, we can do this by taking 1/3 and multiply it by a and 5. This will give us 8=1/3a+5/3, with this we can subtract 5/3 on both sides of the equation, which will then give us, 19/3=1/3a. Last, we can divide 19/3 by 1/3 giving us 19 as our final anwser. a=19

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A ball is kicked in the air. The height of the ball can be calculated using the equation h(t) =-16t^2+64t+190, where h is in hei

gregori [183]

Answer:

Therefore the ball strikes the ground 5.98 s after kick.

Step-by-step explanation:

Given that , a ball is kicked in the air. The height of the ball can be calculated using the equation $h(t)=-16t^2+64t+190$ where h is height in feet and t is time in second.

When the ball touches the ground then the height will be zero.

i.e h(t)=0

Therefore

$-16t^2+64t+190=0$

$\Rightarrow -2(8t^2-32t-95)=0$

Since -2≠0 then $(8t^2-32t-95)=0$

$(8t^2-32t-95)=0$

[The solution of a quadratic equation ax²+bx+c=0 is

$x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}$ here a=8, b=-32 and c=-95]

$\Rightarrow t =\frac{-(-32)\pm\sqrt{(-32)^2-[4\times8\times(-95)]} }{2\times8}$

$\Rightarrow t =\frac{32\pm\sqrt{4064} }{16}$

Therefore t= 5.98 or -1.98

since time can not be negative So , t=5.98 s

Therefore the ball strikes the ground 5.98 s after kick.

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Step-by-step explanation:

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