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2 years ago

If the length of each side of a triangle is cut to 1/3 of its original size, what happens to the area of the triangle?

Mathematics

1 answer:

Blababa [14]2 years ago

8 0

Answer:

The new area of the triangle is (1 / 9) th of the original area.

That is to say the original area of the triangle is decreased to (1/9) th of its value.

Step-by-step explanation:

The area of a triangle is given by, Area = 1/2 $\times$ base $\times$ height

If each side of a triangle is cut to 1/3 of its original size then the base will also become one third and the height will also become one third.

Therefore the new area will be given by = 1/2 $\times$ (1/3 $\times$ base) $\times$ (1/3 $\times$ height)

= 1/9 $\times$ 1/2 $\times$ base $\times$ height

= 1/9 $\times$ Area.

The new area of the triangle is 1 / 9 th of the original area.

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2 years ago

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Explorers on a planet with a thin atmosphere want to measure the acceleration of gravity at its surface. So they use a spring gu

Murljashka [212]

Answer:

The value of $g_s$ is $g_s=\frac{30}{21} \:\frac{m}{s^2}$ .

Step-by-step explanation:

We know that the position function is given by

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Velocity is defined as the rate of change of position. Therefore,

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So, the velocity function is

$v(t)=\frac{d}{dt}(s(t))\\\\v(t)=\frac{d}{dt}(30t-\frac{g_s}{2} t^2)\\\\\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'\\\\v(t)=\frac{d}{dt}\left(30t\right)-\frac{d}{dt}\left(\frac{g_s}{2}t^2\right)\\\\v(t)=30-g_st$

When a body reaches a vertical velocity of zero, this is the maximum height of the body and then gravity will take over and accelerate the object downward. Thus,

$v(t)=30-g_st=0\\\\g_s=\frac{30}{t}$

We know that the ball bearing reaches its maximum height 21 seconds after being launched (t = 21 s).

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3 years ago

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3 years ago

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A student repeats the process of taking blocks out of a bag and replacing them 100 times. A green block is drawn 67 times. What

Alexeev081 [22]

Using it's concept, it is found that a good estimate for the probability of drawing out a green block from the bag is of 0.67 = 67%.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

In this problem, to get a good estimate, we get the probability taking the outcomes from the sample, that is, 67 green blocks out of 100 blocks, hence:

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A good estimate for the probability of drawing out a green block from the bag is of 0.67 = 67%.

More can be learned about probabilities at brainly.com/question/14398287

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1 year ago