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Alika [10]
3 years ago
14

In science class the students were asked to create a container to hold an egg. They would then drop the container from a window

that is 25 feet above the ground. If the equation of the containers pathway can be modeled by the equation h=-16t+25 how long will it take the container to reach the ground
Mathematics
1 answer:
belka [17]3 years ago
5 0

Answer:

It will take 1.25 seconds to reach the ground.

Step-by-step explanation:

The equation of the containers pathway can be modeled by the equation given below :

h=-16t^2+25

t is time in seconds

It is required to find the time taken by the container to reach the ground. When it reached ground, its height is equal to 0 such that,

h=0\\\\-16t^2+25=0

-16t^2=25\\\\t=\sqrt{\dfrac{25}{16}} \\\\t=1.25\ s

So, it will take 1.25 seconds to reach the ground.

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How do you find a missing side of a triangle using SOH CAH TOA
katrin2010 [14]

Answer:

See explanation and attachment

Step-by-step explanation:

SOH CAH TOA is a mnemonic.

SOH means \sin \theta=\frac{Opposite}{Hypotenuse}

CAH means \cos \theta =\frac{Opposite}{Hypotenuse}

TOA means \tan \theta=\frac{Opposite}{Adjacent}

Given an angle and a side of a right angle triangle, you can use the appropriate ratio to find the missing side.

For instance, find x in the diagram in the attachment.

In this case the best ratio to use is TOA.

\tan 60\degree=\frac{\sqrt{3} }{x}

\implies x=\frac{\sqrt{3} }{\tan 60}

x=\frac{\sqrt{3} }{\sqrt{3} } =1

All the other ratio also follow the same pattern

NB: Your calculator in degree should give  \tan 60\degree=\sqrt{3}

3 0
3 years ago
Perpendicular distance between the base of a triangle and the opposite vertex is called _____of the triangle
Solnce55 [7]

Answer:

Median might be the answer or maybe the height?

5 0
3 years ago
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4. Numbers those only<br>factors<br>one and itselt are called​
katovenus [111]

Answer:

Prime numbes

Step-by-step explanation:

Numbers whose only factors are 1 and itself are called prime numbers.

Such numbers have only two factors.

Examples are: 2, 3, 5, 7 ,9... etc.

3 0
3 years ago
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Find the area of an octagon whose perimeter is 120 cm.
stira [4]

Answer:

The area of an octagon whose perimeter is 120 cm is 1086.4 cm^{2}

Step-by-step explanation:

An octagon is a polygon with eight sides. If the lengths of all the sides and the measurement of all the angles are equal, the octagon is called a regular octagon.

There is a predefined set of formulas for the calculation of perimeter, and area of a regular octagon.

The perimeter of an Octagon is given by

P=8a

and the area of an Octagon is given by

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We know that the perimeter is 120 cm, solving for side length (a) in the perimeter formula we get

120=8a\\\frac{8a}{8}=\frac{120}{8}\\a=15

Now, we calculate the area

A=2a^{2}(1+\sqrt{2})\\A=2(15)^{2}(1+\sqrt{2})\\A=450\left(1+\sqrt{2}\right)\\A\approx 1086.4 \:cm^{2}

5 0
3 years ago
The length of a rectaangle 48 centimeters. The relationship between the length, the width, and the perimeter of the rectangle ca
Monica [59]

Answer:

Step-by-step explanation:

We are told that the perimeter is 48 = 2L + 2W.  This reduces to

24 = L + W.  Next, substitute, one by one, the 3 widths 10 cm, 3.6 cm and w cm:

a)  If W = 10 cm, 24 = L + W becomes 24 = L + 10, or L = 14 cm

b)  If W = 3.6 cm, 24 = L + W becomes 24 = L + 3.6, or L = 20.6 cm

c)  If W = w, 24 L + W becomes 24 = L + w, so that L = (24 - w) cm

4 0
3 years ago
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