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Tems11 [23]
2 years ago
15

Explain how to estimate the quotient using compatible numbers. 27 and two-thirds divided by 3 and StartFraction 9 over 10 EndFra

ction
Mathematics
2 answers:
sladkih [1.3K]2 years ago
4 0

Answer:

The first fraction is between 27 and 28, closer to 28. The second fraction is between 3 and 4, closer to 4. Compatible numbers in division are numbers that can be divided mentally. 28 divided by 4 is 7. The quotient will be around 7.

Step-by-step explanation:

Lady bird [3.3K]2 years ago
3 0

Answer:

The fraction 27 and two-thirds are between 27 and 28, closer to 28.

The fraction 3 and StartFraction 9 over 10 EndFraction is between 3 and 4, closer to 4.

Compatible numbers are easily divided.

By changing the numbers to 28 and 4, you can use the division 28 ÷ 4 = 7.

Step-by-step explanation:

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If cos(t) = 2/7 and t is in the 4th quadrant, find sin(t).
Yuliya22 [10]
We can use the Pythagorean Trigonometric Identity which says:
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Let's plug in the given cos(t) value:
sin(t) = \sqrt{1-cos^2( \frac{2}{7})}

And solve sin(t):
sin(t) = \sqrt{1- \frac{4}{49} } = \frac{x}{y} \sqrt{ \frac{49}{49}- \frac{4}{49} }

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7 0
2 years ago
Use the position function s(t) = −16t² + 400, which gives the height (in feet) of an object that has fallen for t seconds from a
skad [1K]

Answer:

160m/s

Step-by-step explanation:

The object can hit the ground when t = a; meaning that s(a) = s(t) = 0

So, 0 = -16a² + 400

16a² = 400

a² = 25

a = √25

a = 5 (positive 5 only because that's the only physical solution)

The instantaneous velocity is

v(a) = lim(t->a) [s(t) - s(a)]/[t-a)

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Velocity = 160m/s

7 0
2 years ago
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