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Anna11 [10]
3 years ago
15

Geometry math question

Mathematics
1 answer:
Elan Coil [88]3 years ago
4 0
The answer is C- Midsegment
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39-50 find the limit.<br> 41. <img src="https://tex.z-dn.net/?f=%5Clim%20_%7Bt%20%5Crightarrow%200%7D%20%5Cfrac%7B%5Ctan%206%20t
Katyanochek1 [597]

Write tan in terms of sin and cos.

\displaystyle \lim_{t\to0}\frac{\tan(6t)}{\sin(2t)} = \lim_{t\to0}\frac{\sin(6t)}{\sin(2t)\cos(6t)}

Recall that

\displaystyle \lim_{x\to0}\frac{\sin(x)}x = 1

Rewrite and expand the given limand as the product

\displaystyle \lim_{t\to0}\frac{\sin(6t)}{\sin(2t)\cos(6t)} = \lim_{t\to0} \frac{\sin(6t)}{6t} \times \frac{2t}{\sin(2t)} \times \frac{6t}{2t\cos(6t)} \\\\ = \left(\lim_{t\to0} \frac{\sin(6t)}{6t}\right) \times \left(\lim_{t\to0}\frac{2t}{\sin(2t)}\right) \times \left(\lim_{t\to0}\frac{3}{\cos(6t)}\right)

Then using the known limit above, it follows that

\displaystyle \left(\lim_{t\to0} \frac{\sin(6t)}{6t}\right) \times \left(\lim_{t\to0}\frac{2t}{\sin(2t)}\right) \times \left(\lim_{t\to0}\frac{3}{\cos(6t)}\right) = 1 \times 1 \times \frac3{\cos(0)} = \boxed{3}

4 0
2 years ago
Sunscreen should be applied every 2 hours. Over the summer, Cece spends at least 84 hours outside.
maria [59]

Answer:

42

Step-by-step explanation:

84 divide 2

answer 42

answer =42

4 0
2 years ago
Please help don’t get it ASAP
maxonik [38]

Answer:

Option C is correct.

38 miles

Step-by-step explanation:

Let x be the distance cover by Michelle

Given:

A circle diameter is 3 miles.

And Michelle biked around the trail 4 times.

We know that

The circumference of a circle.

circumference = 2\pi r----------(1)

where r=\frac{Diameter}{2}

r=\frac{3}{2} \\r=1.5 miles

Put \pi =3.14 and r value in equation 1.

circumference = 2\times 3.14 1.5

circumference = 9.42 mil;es

The circumference of a circle is 9.42 miles.

And Michelle biked 4 times, that is equal to 4 \times circumference.

x = 4\times 9.42

x = 37.65 miles.

That is equal to 38 miles.

Therefore, Michelle biked around 4 trail is 38 miles.

5 0
3 years ago
How to estimate 9.1% of 59.3
gavmur [86]

Answer:

6

Step-by-step explanation:

For a quick rough estimate, I'd round 9.1% up to 10% and 59.3 to 60.  10% of 60 is 0.1(60) = 6.

For a more accurate estimate, round 9.1% down to 9% and 59.3 up to 60.  Then 9% of 60 is 5.4.


7 0
3 years ago
Vhat is the value of the expression below when a -5.b = 7, and c = 6?<br> 9b - 4a + 2c
Vinvika [58]
7393=73-273 is he expression shown below
8 0
3 years ago
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