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3 years ago

2. The following formula relates three quantities: Force (F), mass (m), and acceleration (a).

Mathematics

1 answer:

ArbitrLikvidat [17]3 years ago

3 0

Answer:

(a) $a= \frac{F}{m}$

(b) $a = \frac{1}{5}$ units.

(c) m = 10 units

Step-by-step explanation:

Force (F), mass (m) and acceleration (a) are related by the equation F = ma.

(a) We have to solve this equation for a.

So, F = ma ........ (1)

⇒ $a= \frac{F}{m}$ ..... (2) (Answer)

(b) If F = 1 units and m = 5 units, then from equation (1), we get

$a = \frac{1}{5}$ units. (Answer)

Then from equation (1), we get,

$m = \frac{F}{a} = \frac{25}{2.5} =10$ units. (Answer)

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Answer:

<em>The ladder touches the wall at 24 feet from the ground.</em>

Step-by-step explanation:

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In any right triangle, we can apply Pythagora's theorem to find any missing side length.

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3 years ago

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2 years ago

Find the area of △LKJ.

nirvana33 [79]

Answer:

$A=600\: u^{2}$

<u>The correct answer is letter c.</u>

Step-by-step explanation:

The area equation of a triangle is given by:

$A=\frac{bh}{2}$ (1)

Where:

b is the base

h is the height

Let's find first the angle MJK (α), using the tangent definition.

$tan(\alpha)=\frac{24}{32}$

$\alpha=tan^{-1}(\frac{24}{32})$

$\alpha=36.9^{\circ}$

Now, if α = 37° then β (angle JLK) must be:

$37^{\circ} + \beta + 90^{\circ}=180^{\circ}$

$\beta=53^{\circ}$

Now, we can find the distance ML using again the tangent definition:

$tan(\beta)=\frac{24}{ML}$

$ML=\frac{24}{tan(53)}$

$ML=18$

The base of the triangle LKJ will be:

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$A=\frac{50*24}{2}$

$A=600\: u^{2}$

The correct answer is c.

I hope it helps you!

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