How would I do number 13?

Mathematics

1 answer:

BigorU [14]3 years ago

6 0

4x + 3x = 98
7x = 98
x=14

4(14)=56 (one side of the monitor) - so this is a
3(14)=42 (other side of the monitor) - so this is b

diagonal, so use hypotenuse of two sides.

a squared + b squared equals c squared.

56 squared equals 3136
42 squared equals 1764
add those together and take the square root

the diagonal equals 70

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a squirrel is 24 feet up in a tree and tosses a nut out of the tree with an initial velocity of 8 feet per second. the nuts heig

marin [14]

The nut lands first on gorund

Solution:

The squirrel climbs down the tree in 2 seconds

Given that,

A squirrel is 24 feet up in a tree and tosses a nut out of the tree with an initial velocity of 8 feet per second

The nuts height, h, at time t seconds can be represented by the equation:

$h(t) = -16t^2 + 8t+24$

$-16t^2 + 8t+24 = 0\\\\-2t^2 + t + 3 = 0\\\\2t^2 - t-3=0\\\\Split\ the\ middle\ term\\\\2t^2 + 2t-3t - 3 = 0\\\\Break\ the\ expression\ into\ groups\\\\(2t^2 + 2t) -(3t+3) = 0\\\\2t(t+1) -3(t+1) = 0\\\\(t+1)(2t-3) = 0\\\\Therefore,\\\\t + 1 = 0\\\\t = -1\\\\2t-3=0\\\\2t = 3\\\\t = \frac{3}{2} = 1.5$