Answer:
3/5
Step-by-step explanation:
The range of the cosine function is [-1, 1]. Since √41/5 is greater than 1, we eliminate answers a) and b) immediately.
If this angle lies in Quadrant IV, the "adjacent side" is positive. Thus, the cosine of this angle must be 3/5.
Answer:
6 1/3
Step-by-step explanation:
First, let's determine how many combinations there are without any restrictions. There are 4 letters, so we have 4 options to choose from for the first letter. For the second letter, there are only 3 options, for the third there are only 2 options, and finally for the last letter there is just 1 option. Therefore, we have:
options
Now we can subtract the number of combinations in which a is immediately followed by b.
Instead of having 4 options to choose from, we now only have 3:
ab, c, or d
So using the same logic as before, we have:
options
Now just subtract the 6 combinations that don't work from the total:
24 - 6 = 18
The answer is 18.
Answer: 30 meters
Step-by-step explanation:
50/12=4.1666
4.1666x7=29.162 round it to 30
Answer:
m∠J = 45° , m∠I = 45° and m∠M = 90°
And the ΔJIM is an isosceles right angled triangle.
Step-by-step explanation:
(a). In ΔJIM,
∠J = 2x + 15,
∠I = 5x - 30, and
∠M = 6x
Now, using angle sum property of a triangle that sum of all the angles in a triangle is 180°
⇒ ∠J + ∠I + ∠M = 180°
⇒ 2x + 15 + 5x - 30 + 6x = 180°
⇒ 13x -15 = 180°
⇒ 13x = 195
⇒ x = 15
Therefore, m∠J = 45° , ∠I = 45° and m ∠M = 90°
(b). Now, ΔJIM is a right angled triangle right angled at M.
Also, ∠J = ∠I = 45°
So, JM = IM ( because in a triangle sides opposite to equal angles are equal)
So, ΔJIM is an isosceles triangle because its two sides are equal.
Hence, ΔJIM is a right angled isosceles triangle right angled at M.