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morpeh [17]
3 years ago
10

5/8 of my allowance is 60.00. So what is 1/2 of it?

Mathematics
1 answer:
solmaris [256]3 years ago
3 0

Answer:

youre total is 96.00 so half of it will be 48

Step-by-step explanation:

we need to find your total first

5/8 * 60/?

multiply 8 with 60, getting you 480

the divide with 5 getting you 96, now to find the 1/2 of your amount just divide this with two and now you have it! 48 is your total half

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Exterior angle of a triangle is​
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Answer:

It is equal to the sum of its two opposite non-adjacent interior angles.

Step-by-step explanation:

An exterior angle of a triangle is <u>equal to the sum of its two opposite non-adjacent interior angles.</u>

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Hiroshi found that 3/5 of his class prefers vanilla ice cream, 26% prefers chocolate ice cream, and 0.14 prefers strawberry ice
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Answer:

The kind of ice cream the least number of students prefer is Strawberry ice cream.

Step-by-step explanation:

We convert all given values to decimal

Hiroshi found that:

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b) For Chocolate ice cream

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I needs help with it ​
Slav-nsk [51]

Answer:

a)  initial height = 0 m

b)  8 s

c)  vertex = (4, 32)

    maximum height = 32 m

Step-by-step explanation:

<u>Given equation</u>:

h=-2t^2+16t

where:

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  • t is the time (in seconds)

<h3><u>Part (a)</u></h3>

The initial height of the arrow will be at the beginning of its journey, so when t = 0

Substitute t = 0 into the equation and solve for h:

\implies h=-2(0)^2+16(0)

\implies h=0

Therefore, the initial height of the arrow is 0 m.

<h3><u>Part (b)</u></h3>

The arrow will hit the ground when the height is 0 m.

Substitute h = 0 into the given equation:

\implies -2t^2+16t=0

Factor out -2t:

\implies -2t(t-8)=0

Therefore:

\implies -2t=0 \implies t=0

And:

\implies t-8=0 \implies t=8

Therefore, the arrow will hit the ground at 8 seconds.

<h3><u>Part (c)</u></h3>

The vertex is the <u>turning point</u> of a parabola - it's minimum or maximum point.

As the leading coefficient for the given equation is <u>negative</u>, the parabola <u>opens downwards</u> and so its <u>vertex</u> is its <u>maximum point</u>.

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We have determined that the arrow has a height of 0 m at 0 seconds and 8 seconds.  Therefore, t = 0 and t = 8 are the x-intercepts.  The midpoint is halfway between zero and 8, so the midpoint is t = 4

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Therefore, the coordinates of the vertex are (4, 32)

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Therefore, the maximum height is 32 m

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