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3 years ago

9

a ball is fired at an angle of 30 degrees to the horizontal at an initial velocity of 10 m/s. if the ball lands 20 m away, deter

mine the height from which it was launched.

Advanced Placement (AP)

1 answer:

Dmitry_Shevchenko [17]3 years ago

4 0

14.61 m is the height at which the ball was launched with an initial velocity of 10 m/s at a 30 degree angle

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Surface Area of a can is 517.8 cm^2. Maximize the volume of this can using the measured surface area.

mafiozo [28]

Answer:

$r = 5.24$ --- Radius

$h = 10.48$ --- Height

Explanation:

Given

Object: Can (Cylinder)

$Surface\ Area = 517.8cm^2$

Required

Maximize the volume

The surface area is:

$S.A = 2\pi r^2 + 2\pi rh$

Substitute 517.8 for S.A

$517.8 = 2\pi r^2 + 2\pi rh$

Divide through by 2

$258.9 = \pi r^2 + \pi rh$

Factorize:

$258.9 = \pi r(r + h)$

Divide through by $\pi r$

$\frac{258.9}{\pi r} = r + h$

Make h the subject

$h = \frac{258.9}{\pi r} - r$ --- (1)

Volume (V) is calculated as:

$V = \pi r^2h$

Substitute (1) for h

$V = \pi r^2(\frac{258.9}{\pi r} - r)$

Open Bracket

$V = 258.9r - \pi r^3$

Differentiate V

$V' = 258.9 - 3\pi r^2$

Set V' to 0

$0 = 258.9 - 3\pi r^2$

Collect Like Terms

$3\pi r^2 = 258.9$

Divide through by 3

$\pi r^2 = 86.3$

Divide through by $\pi$

$r^2 = \frac{86.3}{\pi}$

$r^2 = \frac{86.3*7}{22}$

$r^2 = \frac{604.1}{22}$

Take square root of both sides

$r = \sqrt{\frac{604.1}{22}$

$r = 5.24$

Recall that:

$h = \frac{258.9}{\pi r} - r$

Substitute 5.24 for r

$h = \frac{258.9}{\pi * 5.24} - 5.24$

$h = \frac{258.9*7}{22 * 5.24} - 5.24$

$h = \frac{1812.3}{115.28} - 5.24$

$h = 15.72 - 5.24$

$h = 10.48$

Hence, the dimension that maximize the volume is:

$r = 5.24$ --- Radius

$h = 10.48$ --- Height

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3 years ago

Make a claim about how PDC deficiency affects the amount of NADH produced by glycolysis AND the amount of NADH produced by the K

Ulleksa [173]

Answer:

Glycolysis: No change - glycolysis continues PFC is not needed, glycolysis occurs before conversation of pyruvate to acetyl - CoA

Krebs Cycle: Decrease - krebs cycle greatly slowed / deceased if there isn't acetyl - CoA; Occurs after conversation of pyruvate to acetyl - CoA

Explanation:

I majored in Advanced Placement

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2 years ago

Which of the following is the formula for the multiplier?

Goryan [66]

The formula to determine the multiplier(M) is:

M = 1 / (1 – MPC)

where:

MPC=Marginal propensity to consume

What Is a Multiplier?

A multiplier is a broad term in economics that refers to an economic factor that, when increased or changed, causes increases or changes in many other related economic variables. In terms of GDP, the multiplier effect causes total output gains to be greater than the change in spending that caused it.

Typically, the term multiplier refers to the relationship between government spending and total national income. The deposit multiplier is another multiplier used to explain fractional reserve banking.

Often the multiplier formula is considered to be too simple because it ignores some real-world complications. The Reason is:

Option A. The formula ignores the impact of an increase in GDP on consumption.

To know more about multiplier, visit: brainly.com/question/15883095

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1 year ago

Three types of soft wood?

Anna [14]

Answer:

larch-used for cladding and boats

southern yellow pine-flooring or joinery

western hemlock-doors or furniture

Explanation:

hope it helps :)

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3 years ago

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Which of the following is important to do when vising a college

JulijaS [17]

The answer is C, although the other options are important as well, in this case, C is the answer you are looking for

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3 years ago