Answer:
Length DE= 2√2
Length EF= 2√2
Step-by-step explanation:
The 45-45-90 rule is very special but this question is really simple. You have all the angles and one side.
STEPS:
1) Take 45 from angle D and use its sine to find side EF
2) sin45= x/4 => 2.82 or 2√2
3) Take either cos45 from angle D or use Pythagoras since we now have enough side lengths to use Pythagoras (faster for me to use cosine).
4) cos45=x/4 => 2.82 or 2√2
Further explanation:
If you don't understand the sine and cosines, here's a word play to help.
S O/H
C A/H
T O/A
S=Sine
C=Cosine
T= Tangent
O= Opposite
H= Hypotenuse
A= Adjacent
If you search a video on this word play it will help more since it is visual.
Good luck.
The first thing to do is to calculate how many ways you can choose 3 people from a set of eight. In order to do this, we need to use the attached formula.
(The letter 'n' stands for the entire set and 'r' stands for the number of objects we wish to choose.)
So we wish to choose 3 people ('r') form a set of 8 ('n')
combinations = n! / r! * (n - r)!
combinations = 8 ! / (3! * 5!)
combinations = 8 * 7 * 6 * 5! / (3!) * (5!)
combinations = 8 * 7 * 6 / 3 * 2
combinations = 56
Now of those 56 combinations, the 3 people can finish in 6 different ways.
For example, persons A, B and C could finish
ABC or ACB or BAC or BCA or CAB or CBA
So to get the TOTAL combinations we multiply 56 * 6 which equals
336 so the answer is (a)
Answer:
Solve for x.
2x2=72
−6 and 6
−8 and 8
−18 and 18
−36 and 36
your answer would be -6 and 6
Step-by-step explanation:
The tangent line DC is perpendicular to the radius of the park
The length of AC is 245 feet
<h3>How to determine the distance AC?</h3>
To calculate the distance AC, we start by calculating the length of AB using:
DC^2 = (BC + AB) * BC
So, we have:
105^2 = (45 + AB) * 45
Evaluate the exponent
11025 = (45 + AB) * 45
Divide both sides by 45
245 = 45 + AB
Rewrite as:
AB + 45 = 245
From the figure, we have:
AC = AB + 45
Substitute AB + 45 = 245
AC = 245
Hence, the length of AC is 245 feet
Read more about line of tangents at:
brainly.com/question/6617153
