Answer:
0.51 cm
Step-by-step explanation:
In right triangle MNP, MP = 4 cm, m∠N = 90°, m∠P = 21°
By the sine definition,

Now, consider right triangle HMN (it is right because NH is an altitude). By the cosine definition,

In the right triangle, two acute angles are always complementary, so

Thus,

Answer:
You are selecting marbles with replacement. The marble selections (trials) are independent and the marble selection follows the binomial distribution.
The probability of selecting a red marble the first time is 1313.
(This is because 4 out of 12 marbles are red and412412 reduces to 1313.
The probability of selecting a red marble the second time is 1313.
The marble selections are independent and you can multiply the two probabilities to get the following:
probability of getting 2 reds = (13)2(13)2
=19=19.
So the probability of getting two reds is 1919.
Distance traveled in 35 minute = 2 miles.
So distance traveled in one minute = 2/35 (miles/minute)
= 0.0572 miles / minute.
So distance traveled in one hour , we can find by multiplying it from 60.Because in one hour there is 60 minute.
SO distance traveled in one hour = 0.0572 * 60
= 3.432 miles / hour.
It's a translation.
A reflection across a line is like flipping that object like a pancake over the line. It gets turned upside-down.
When you flip the pancake again, now across a parallel line, it gets turned right-side up again, just in a new location.
If I were solving this equation, I would put x^2-20x+(100)=(10). Since this is in standard form, you could change this into vertex form by making the equation y=(x-10)^2 -10.