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3 years ago

Number A is 4.576. Number 3 10.043 greater than a. Number Cis 2.510 less than 8. What is the total

Mathematics

1 answer:

slamgirl [31]3 years ago

4 0

Answer:

14.619

Step-by-step explanation:

10.043 + 4.576 = 14.619

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a ball is thrown with a slingshot at a velocity of 110ft/sec at an angle of 20 degrees above the ground from a height of 4.5 ft.

satela [25.4K]

Answer:

$t=2.47\ s$

Step-by-step explanation:

The equation that models the height of the ball in feet as a function of time is

$h(t) = h_0 + s_0t -16t ^ 2$

Where $h_0$ is the initial height, $s_0$ is the initial velocity and t is the time in seconds.

We know that the initial height is:

$h_0 = 4.5\ ft$

The initial speed is:

$s_0 = 110sin(20\°)\\\\s_0 = 37.62\ ft/s$

So the equation is:

$h (t) = 4.5 + 37.62t -16t ^ 2$

The ball hits the ground when when $h(t) = 0$

$4.5 + 37.62t -16t ^ 2 = 0$

We use the quadratic formula to solve the equation for t

For a quadratic equation of the form

$at^2 +bt + c$

The quadratic formula is:

$t=\frac{-b\±\sqrt{b^2 -4ac}}{2a}$

In this case

$a= -16\\\\b=37.62\\\\c=4.5$

Therefore

$t=\frac{-37.62\±\sqrt{(37.62)^2 -4(-16)(4.5)}}{2(-16)}$

$t_1=-0.114\ s\\\\t_2=2.47\ s$

We take the positive solution.

Finally the ball takes 2.47 seconds to touch the ground

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4 years ago

Which value is in the domain of f(x)?

DaniilM [7]

Answer:

The Answer is c4.(4)

Step-by-step explanation:

I thought the c4 joke would be funny.

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3 years ago

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Simplify the expression. 1.4 – 5.5 – 1.73 + 1.8 – 1.09

Lana71 [14]

The answer would be 1.4

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3 years ago

There is a box with 6 marbles: 3 red, 1 blue, 1 green, and 1 yellow. What is the probability of picking yellow marble, keep it,

fiasKO [112]

Answer:

1:6

Step-by-step explanation:

you have one out of 6 chances to pick the yellow marble

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3 years ago

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After a 75% reduction, you purchase a new clothes dryer for $200. What was the original price of the clothes dryer?

lesya [120]

Answer:

$800

Step-by-step explanation:

Let the original price be $x.

75% reduction ----- 100% -75%= 25%

25%x= 200

$\frac{25}{100} x = 200 \\ x = 200 \div \frac{25}{100} \\ x = 200 \times \frac{100}{25} \\ x = 800$

Thus, the original price of the clothes dryer is $800.

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3 years ago

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