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stellarik [79]
3 years ago
5

Which of the following expressions is equal to tan245°?

Mathematics
1 answer:
givi [52]3 years ago
4 0

Answer:

tan65°

Step-by-step explanation:

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Find the distance between the following points: (0,0,0) and (-2,6,3)
marusya05 [52]

9514 1404 393

Answer:

  3.  7

Step-by-step explanation:

The distance formula applies in 3 dimensions as well as 2.

  d = √((x2 -x1)² +(y2 -y1)² +(z2 -z1)²)

  d = √((-2)² +6² +3²) = √(4 +36 +9) = √49

  d = 7

The distance between the two points is 7 units.

6 0
2 years ago
Kate hiked 14 miles in 6 hours. Which rate represents the number of miles traveled per hour? L
12345 [234]

Answer:

That would be 14 miles ÷ 6 hours which would be 2.3333 or 2 and 1/3

6 0
2 years ago
Sarah is doing research on the average age of first-year resident physicians. She wants her estimate to be accurate to within 1
WINSTONCH [101]

Answer: The number of first-year residents she must survey to be 95% confident= 263

Step-by-step explanation:

When population standard deviation (\sigma)  is known and margin of error(E) is given, then the minimum sample size (n) is given by :-

n=(\dfrac{z^*\sigma}{E})^2, z* = Two-tailed critical value for the given confidence interval.

For 95% confidence level , z* = 1.96

As, \sigma = 8.265, E = 1

So, n= (\dfrac{1.96\times8.265}{1})^2 =(16.1994)^2\\\\= 262.42056036\approx263\ \ \ [\text{Rounded to the next integer}]

Hence, the number of first-year residents she must survey to be 95% confident= 263

7 0
3 years ago
Find the distance between<br> (-2, 4) and (-5, -6).
torisob [31]

Answer:

7.21

Step-by-step explanation:

use pythagoream theroem

4 0
2 years ago
twice the difference between a number and 10 is equal to 6 times the number plus 14. what is the number?
laiz [17]
Let the number be n.  Then 2(n-10) = 6n + 14.

Multiplying out the left side, 2n - 20 = 6n + 14.  Thus, -34=4n, and n = -17/2.
4 0
3 years ago
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