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2 years ago

Calculate the sum. 0.401 + 9.28 *

Mathematics

2 answers:

myrzilka [38]2 years ago

7 0

Answer:

9.681

Step-by-step explanation:

Shtirlitz [24]2 years ago

7 0

Answer:9.681

Step-by-step explanation:

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A golfball is hit from the ground with an initial velocity of 200 ft/sec. The horizontal distance that the golfball will travel,

algol13

Answer:

The golfball launched with an initial velocity of 200ft/s will travel the maximum possible distance which is 1250 ft when it is hit at an angle of $\pi/4$ .

Step-by-step explanation:

The formula from the maximum distance of a projectile with initial height h=0, is:

$d(\theta)=\frac{v_i^2sin(2\theta)}{g}$

Where $v_i$ is the initial velocity.

In the closed interval method, the first step is to find the values of the function in the critical points in the interval which is $[0, \pi/2]$ . The critical points of the function are those who make $d'(\theta)=0$ :

$d(\theta)=\frac{v_i^2\sin(2\theta)}{g}\\d'(\theta)=\frac{v_i^2\cos(2\theta)}{g}*(2)\\d'(\theta)=\frac{2v_i^2\cos(2\theta)}{g}$

$d'(\theta)=0\\\frac{2v_i^2\cos(2\theta)}{g}=0\\\cos(2\theta)=0\\2\theta=\pi/2,3\pi/2,5\pi/2,...\\\theta=\pi/4,3\pi/4,5\pi/4,...$

The critical value inside the interval is $\pi/4$ .

$d(\theta)=\frac{v_i^2sin(2\theta)}{g}\\d(\pi/4)=\frac{v_i^2sin(2(\pi/4))}{g}\\d(\pi/4)=\frac{v_i^2sin(\pi/2)}{g}\\d(\pi/4)=\frac{v_i^2(1)}{g}\\d(\pi/4)=\frac{(200)^2}{32}\\d(\pi/4)=\frac{40000}{32}\\d(\pi/4)=1250ft$

The second step is to find the values of the function at the endpoints of the interval:

$d(\theta)=\frac{v_i^2sin(2\theta)}{g}\\\theta=0\\d(0)=\frac{v_i^2sin(2(0))}{g}\\d(0)=\frac{v_i^2(0)}{g}=0ft\\\theta=\pi/2\\d(\pi/2)=\frac{v_i^2sin(2(\pi/2))}{g}\\d(\pi/2)=\frac{v_i^2sin(\pi)}{g}\\d(\pi/2)=\frac{v_i^2(0)}{g}=0ft$

The biggest value of f is gived by $\pi/4$ , therefore $\pi/4$ is the absolute maximum.

In the context of the problem, the golfball launched with an initial velocity of 200ft/s will travel the maximum possible distance which is 1250 ft when it is hit at an angle of $\pi/4$ .

4 0

3 years ago

Which is NOT true regarding the hypotenuse? *

Usimov [2.4K]

Answer:

It helps form the right angle = FALSE

Step-by-step explanation:

The legs form the angle

6 0

2 years ago

Help me quickly pls<3

Kipish [7]

Answer:

Step-by-step explanation:

No others make sense because you can't use multiplication in this problem and well it's hard to explain honestly lol. But I'm almost certain your answer is A

5 0

3 years ago

What is the percent change of 12 niches to 36 omches

krek1111 [17]

The answer is 200%

Why? --- A change from 12 to 36 represents a positive change (increase) of 200%

Use the formula found below on this webpage to find the percent change by replacing the given values:

Percent change = [(12 - 36) / 12] x 100 = 200 % (increase)

Where: 12 is the old value and 36 is the new value. In this case we have a positive change (increase) of 200 percent because the new value is greater than the old value.

Hope this helps. :)

~Anonymous

7 0

3 years ago

The table shows the times of the top six swimmers in the women’s 100 meter butterfly at the 2012 Olympic Games. A 2-column table

DENIUS [597]

Answer:

The difference in finishing time between the 2nd and 3rd places is the shortest and it is 0.07 seconds.

Step-by-step explanation:

The first positioned swimmer took 55.98 seconds and the second positioned swimmer took 56.87 seconds to complete the race.

So, the difference is (56.87 - 55.98) = 0.89 seconds.

The second positioned swimmer took 56.87 seconds and the third positioned swimmer took 56.94 seconds to complete the race.

So, the difference is (56.94 - 56.87) = 0.07 seconds.

The third positioned swimmer took 56.94 seconds and the fourth positioned swimmer took 57.17 seconds to complete the race.

So, the difference is (57.17 - 56.94) = 0.23 seconds.

The fourth positioned swimmer took 57.17 seconds and the fifth positioned swimmer took 57.27 seconds to complete the race.

So, the difference is (57.27 - 57.17) = 0.10 seconds.

The fifth positioned swimmer took 57.27 seconds and the sixth positioned swimmer took 57.35 seconds to complete the race.

So, the difference is (57.27 - 57.35) = 0.08 seconds.

Therefore, the difference in finishing time between the 2nd and 3rd places is the shortest and it is 0.07 seconds. (Answer)

5 0

3 years ago

Read 2 more answers