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natka813 [3]
3 years ago
6

Study the figure.

Mathematics
1 answer:
tia_tia [17]3 years ago
4 0

Answer:

So we know the formula to calculate the area of the circular sector:

S=(r^2*π*a)/306°=

(5^2*3.14*40°)/360°= (1000*3.14) /360=8.72cm^2 so the right alternative should be the first one ,A.

Step-by-step explanation:

r - radius of the circle

a - corner of the circular sector

S - surface

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A model rocket is launched with an intitial upupward velocity of 202 ft/s. The rocket’s height h (in feet) after seconds is give
dsp73

Given that the height of a object thrown within a gravitational field is given as a quadratic equation in time, <em>t</em>, the time at which the object is at a specified height can be found by the quadratic formula

The values of, <em>t</em>, for which the height of the rocket is 82 feet are;

t = 12.21 seconds or t = 0.42 seconds

Question: <em>Parts of the question that appear missing but can be found online are (i) To find the values of the time, t, when the rocket's height is 82 feet and round answers to the nearest hundredth</em>

The known parameters of the rocket are;

The initial upward velocity of the rocket, v = 202 ft./s

The given function representing the height, <em>h</em>, (in feet) after <em>t</em> seconds is presented as follows;

H = 202·t - 16·t²

The unknown;

The time for which the height of the rocket is 82 feet

Method;

Substitute H = 82 feet in the height function equation and solve for <em>t</em> as follows;

When H = 82, we get;

82 = 202·t - 16·t²

Therefore;

16·t² - 202·t + 82 = 0

Dividing the above equation by <em>2</em> gives;

(16·t² - 202·t + 82)/2 = 0/2

8·t² - 101·t + 41 = 0

By using the quadratic formula, we get;

\mathbf{t = \dfrac{101 \pm \sqrt{(-101)^2 - 4 \times 8 \times 41} }{2 \times 8}  =  \dfrac{101 \pm \sqrt{8889} }{16}}

Therefore, the values of <em>t</em> given by rounding off to the nearest hundredth are;

t = 12.21 or t = 0.42

The values of the time, <em>t</em>, at which the height of the rocket is 82 feet are t = 12.21 seconds or t = 0.42 seconds

Learn more about equation models of height as a function of time here;

brainly.com/question/84352

7 0
3 years ago
15 + brainliest help me please
Fiesta28 [93]
2f +4f +2 -3
 combine the like terms to get 6f-1

 so yes they are equivalent

2f+4f+2-3 at f=3 would also be 17


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3 years ago
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3 years ago
Show all work:
DerKrebs [107]

Answer:

m=-3

Step-by-step explanation:

m - 7 = -10

Ok so,

in order to get m by itself you just need to do the opposite of -7 which is +7 so you have to add 7 to both sides. On the left, both of the 7's cancel out and on the right -10 + 7 = -3. So, now it should look like this.

m=-3

To check you just need to plug in -3 into the question

Hope this helps! Have a good day

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Find the fractional notation for the ratio 5 to 9
vazorg [7]
5:9 is just 5/9
Hope this helps!
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