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Paladinen [302]
3 years ago
12

In ΔKLM, the measure of ∠M=90°, LK = 97, ML = 65, and KM = 72. What is the value of the sine of ∠L to the nearest hundredth?

Mathematics
1 answer:
Sphinxa [80]3 years ago
6 0

Answer:

0.74

Step-by-step explanation:

72/97 is 0.74 rounded to the nearest hundredths.

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Write the complex number in polar form:
emmasim [6.3K]

9514 1404 393

Answer:

  2√30 ∠-120°

Step-by-step explanation:

The modulus is ...

  √((-√30)² +(-3√10)²) = √(30 +90) = √120 = 2√30

The argument is ...

  arctan(-3√10/-√30) = arctan(√3) = -120° . . . . a 3rd-quadrant angle

The polar form of the number can be written as ...

  (2√30)∠-120°

_____

<em>Additional comments</em>

Any of a number of other formats can be used, including ...

  (2√30)cis(-120°)

  (2√30; -120°)

  (2√30; -2π/3)

  2√30·e^(i4π/3)

Of course, the angle -120° (-2π/3 radians) is the same as 240° (4π/3 radians).

__

At least one app I use differentiates between (x, y) and (r; θ) by the use of a semicolon to separate the modulus and argument of polar form coordinates. I find that useful, as a pair of numbers (10.95, 4.19) by itself does not convey the fact that it represents polar coordinates. As you may have guessed, my personal preference is for the notation 10.95∠4.19. (The lack of a ° symbol indicates the angle is in radians.)

6 0
3 years ago
Help please!!
Semenov [28]
D. No because two points with the same x value have different y values. A function cannot have one x equal different y
4 0
2 years ago
When we take a census . We attempt to collect data from a. A stratified random sample b. Every individual chosen in a simple ran
In-s [12.5K]

Answer:c

Step-by-step explanation:

Be

4 0
2 years ago
A grocery store sells a bag of 4 oranges for $3.80. How much does one orange cost?
grin007 [14]

Answer:

95 cents

Step-by-step explanation:

3.80/4 = 0.95

7 0
2 years ago
What is the value of 13.997x4 to 2 decimal places ?
VARVARA [1.3K]

Answer:

Hence the answer to 2 decimal places becomes 55.99

Step-by-step explanation:

SOLUTION

We want to solve:

13.997×4 to 2 decimal places

Now:

13.997×4=55.988

Now, 55.988 to decimal places, after the decimal point, we count the first two numbers, which are 9 and then 8. Then check the number after the 8, is it up to 5? Yes, it is, because it is 8. Now change the 8 to 1 and add it to that second number after the decimal point, this gives nine.

Hence the answer to 2 decimal places becomes 55.99

5 0
2 years ago
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