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Natali [406]
3 years ago
13

A ball is thrown downward with an initial velocity of 35 meters per second from a

Mathematics
1 answer:
Dovator [93]3 years ago
8 0

Answer: 2.5 seconds.

Step-by-step explanation:

Hi, since when the ball hits the ground the height = 0, to answer this question we have to substitute h=o in the equation:  

h = - 4.9t2 - 35t +120

0 = - 4.9t2 - 35t +120

Applying the quadratic formula:

For: ax2+ bx + c  

x =[ -b ± √b²-4ac] /2a  

Replacing with the values given:  

x =[ -(-35) ± √(-35)²-4(-4.9)120] /2(-4.9)  

x = [ 35 ± √1,225 +2,352] /-9.8

x = [ 35 ± √3,577] /-9.8

x = [ 35 ±59.8 ] /-9.8

Positive:  

x = [ 35 + 59.8] /-9.8 = 94.8 /-9.8 = -9.67 seconds

Negative:  

x = [ 35 - 59.8] /-9.8 = -24.8 /-9.8 = 2.5 seconds

Since the time can't be negative, the answer is 2.5 seconds.

Feel free to ask for more if needed or if you did not understand something.  

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Full steps and all reasons, thanks!​
Nataly_w [17]

You can focus on the two sub-triangles ABC and ACD

We know that they are both right triangles, because we're given that AC and BD are perpendicular.

The sides AB and AD are the hypothenuses of these triangles, so we know their length through the pythagorean theorem:

AD^2 = AC^2+CD^2

AB^2 = AC^2+BC^2

But since we're given BC=CD, the expressions for AD and AB are actually the same expression. This proves that AD=AB, and thus that the triangle is isosceles.

8 0
3 years ago
Is 16% of 40 the same as 40% of 60? Explain your reasoning.
o-na [289]
No 16% of 40 is 32/5 where 40%of 60 is 24.
 Hope this helps.
6 0
3 years ago
Read 2 more answers
How many quarter pound buyers can george make out of 3 and 1/2 pounds of ground beef?
weeeeeb [17]
Divide the total amount by the portion size.

= 3 1/2 ÷ 1/4
convert 3 1/2 to improper fraction

= (2*3+1)/2 ÷ 1/4
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to divide a fraction, we multiply by the reciprocal/inverse of 1/4

= 7/2 * 4/1
multiply numerators, then multiply denominators

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= 14

ANSWER: 14

Hope this helps! :)
8 0
3 years ago
(PLEASE HELP!!)
AlexFokin [52]

Answer:

X= 8

Y= 130

(8, 130)

Step-by-step explanation:

I used a graphing calculator to see where the two equations intersected.

Hope this helped :)

5 0
3 years ago
Read 2 more answers
Pls help me calculate the inverse of y equals 2x over x-7
NeTakaya
Y = 2x/x-7

x = 2y/y-7

xy - 7x = 2y

-7x = 2y - xy

-7x = y(2-x)

y = -7x / 2-x

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f-¹(x) = 7x / x-2

5 0
3 years ago
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