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FromTheMoon [43]
3 years ago
12

A piece of string 64cm long is divided into three pieces in the ratio of 1:2:5. Calculate the length of the longest piece.

Mathematics
1 answer:
sergejj [24]3 years ago
5 0

Answer:

40cm is the longest piece ( not sure )

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The vertical height v, in feet, of a snowboarder jumping off of an overhang can be modeled by the function h(t)=15-10t-16t^2, wh
olga55 [171]
I don't know for sure, but I think there might be an error in the way you copied your function. In all of my dealings with these types of problems, I have learned the formula to be h(t) = 15 + 10t - 16t^2. Notice the plus in front of the "10t". This is due to the fact that if he pushes off of the overhang he would have an upward force of 10 feet per second as soon as his feet left the ground. The only thing pulling him back to Earth is gravity, modeled by the "-16t^2". This is derived from a bit of slightly advanced physics involving the gravitational constant, but let's work under my formula for a second...

Either way, we will wind up using the Quadratic Formula (or possibly factoring if the numbers are easy enough to work with). So let's start. 

h(t)= 15 +10t - 16t^2

In order to use the QF or factoring I will need to make h(t)=0. Simply done by:

0= 15 +10t -16t^2

Looking at the numbers, I'd prefer to use the QF so here it is:

x= \frac{-b + or -  \sqrt{b^{2}-4ac } }{2a}

I know that my answer will need to be positive since you can't have a negative value when dealing with time, so I will eliminate the positive sign from the "+or-" part leaving me with:

x= \frac{-b -\sqrt{b^{2}-4ac } }{2a}

And I know that a= -16, b= 10, and c=15. So all that's left to do is substitute and solve.

x= \frac{-10 -\sqrt{-16^{2}-4*-16*15 } }{2*-16} 

There's a decent amount of math that would be difficult and sloppy for me to do over the computer, but all you need to do is solve the rest of the equation and you would get your answer.

Exact answer: \frac{5-4 \sqrt{15} }{8} or rounded answer: ≈1.31 seconds.

Hope this helps!
NoThisIsPatrick

7 0
3 years ago
Read 2 more answers
8.4y−3.6y=48.96 i need help​
Marta_Voda [28]

Answer:i got 10.2

Step-by-step explanation:

7 0
2 years ago
Lago enriquillo , Dominican Republic is at 151 ft below sea level. The highest mountain in the Dominican Republic is pico Duarte
riadik2000 [5.3K]

Answer:

10,013

Step-by-step explanation:

5 0
3 years ago
Tara has read 95\%95%95, percent of the books she owns. If Tara owns 160160160 books, how many of her books has she not read?
amm1812

Answer:

Number of books she has not read =8

Step-by-step explanation:

Number of books Tara has=160

Number of books she has read =Percentage of what she has read x Number of book s she has =95% x 160=152

Number of books she has not read =Number of books Tara has- Number of books she has read=160-152=8

8 0
3 years ago
Kylie explained that (negative 4 x 9) squared will result in a difference of squares because (negative 4 x 9) squared = (negativ
JulijaS [17]

A perfect square trinomial is the result in algebraic form which is obtained by solving the squared binomial expression. Kylie did not understand that this is a perfect square trinomial and she did not determine the product correctly. Thus the option C is the correct option.

Given information-

The expression for the given problem is,

(-4x+9)^2

<h3>Perfect square trinomial</h3>

A perfect square trinomial is the result in algebraic form which is obtained by solving the squared binomial expression.

The perfect square trinomial can be given as,

ax^2+bx+c

The given expression can be solved as,

(-4x+9)^2=(-4x+9)\times(-4x+9)\\(-4x+9)^2=-4x(-4x+9)+9(-4x+9)\\(-4x+9)^2=16x^2-36x-36x+81\\(-4x+9)^2=16x^2-72x+81

Hence Kylie did not understand that this is a perfect square trinomial and she did not determine the product correctly. Thus the option C is the correct option.

Learn more about the perfect square trinomial here;

brainly.com/question/88561

3 0
2 years ago
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