Can someone solve this

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:

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

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

time cannot be negative, so ignore t = -1

Thus the nut takes 1.5 seconds to reach ground

From given,

The squirrel climbs down the tree in 2 seconds

Therefore, the nut lands first on gorund

5 0

3 years ago

Sara is cutting circles out of pieces of cardboard. If she uses a rectangular piece of cardboard that is 8 in. 10 in., what is t

Vinvika [58]

Answer:

50.29 square inches.

Step-by-step explanation:

Given:

Sara is cutting circles out of pieces of cardboard.

She uses a rectangular piece of cardboard that is 8 inches by 10 inches.

Question asked:

What is the area of the largest circle she could make?

Solution:

Here given length of piece of cardboard is 10 inches and breadth is 8 inches, to draw the largest circle, we have to draw the circle touching the boundary of the breadth of the rectangular cardboard and hence breadth will be considered as diameter and it will be the maximum diameter of the circle.

Now, we will find the area of the largest circle by taking breadth as the maximum possible diameter:

Breadth = Diameter = 8 inches ( given )

Radius = half of diameter , $r =\frac{d}{2} =\frac{8}{2} = 4\ inches$

$Area \ of\ circle =\pi r^{2}$

$=\frac{22}{7} \times4\times4\\=\frac{352}{7} =50.285\ square\ inches$

Therefore, area of the largest circle she could make is 50.29 square inches.

4 0

4 years ago

What is the actual height of the light house

ale4655 [162]

Answer:

210 feet in cape hatteras 64 meter Cape Charles light 191 feet 58 meters Cape Lookout 169 feet 52 meters

Step-by-step explanation:

it says it in book but which light house

5 0

3 years ago

Can anyone help me fill this out please :( . I’ll mark you as a brainliest:) .

kvv77 [185]

0,2,4,6,8,10,13,14 your welcome:)

5 0

3 years ago

Read 2 more answers

enter the expression −2c⃗ 6d⃗ in the answer box using the notation just described. express your answer in terms of c⃗ and d⃗ . u

liraira [26]

The expression $-2\vec C+6\vec D$ in the ordered pair notation is (16,-16).

The vector components of a vector are represented as the ordered pair of its x and y components.

For example, if a vector has x - component 'a' and y- component 'b' , then the ordered pair notation for the vector is (a, b), where the vector is $a \vec i+b \vec j$ .

Now the vector C has its x- component = -2

y- component of C = -1

Therefore, ordered pair notation of C = (-2, -1)

x- component of D = 2

y-component of D = -3

Therefore, ordered pair notation of D = (2,-3)

So the expression $-2\vec C+6\vec D$ = -2 (-2,-1) +6 (2,-3) = (4,2) + (12, -18)

= (16, -16) in the ordered pair notation.

That is, the vector $\bold {-2\vec C+6\vec D}$ is a vector with x-component 16 and y-component -16.

Learn more about vectors at brainly.com/question/3184914

#SPJ4

4 0

2 years ago