Hello from MrBillDoesMath!
Answer:
b = 28 degrees
Discussion:
In general,
sin (90 - @) = cos(@)
Set 90 [email protected] = 62 => @ = 28 so
sin (90-28) = sin(62) = cos(28) => b = 28
Thank you,
MrB
Answer:
{x | x ≤ -8}
Step-by-step explanation:
-7x ≥ 56
Divide each side by -7, remembering to flip the inequality since we are dividing by a negative
-7x/-7 ≤ 56/-7
x ≤ -8
Answer:
$ 20
Step-by-step explanation:
Given that,
No. of notes Joe has = 4
The total value of the notes = $ 75
From the given notes, 4 notes that can make the sum of 75 would be
$ 50 note + $ 10 + $ 10 note + $ 5
= 50 * 1 + 10 * 1 + 10 * 1 + 5 * 1
= $ 75
Thus, the note that would not be included in the total value would $20 note as if we add it either the sum would be greater or lesser with four notes in combination.
Answer:
cot∅ = (-2√30)/7.
Step-by-step explanation:
Given the value of csc∅ = -13/7 and ∅ is in quad III.
We know y = r sin∅ and r > 0. So csc∅ = r/y = -13/7 = 13/(-7).
It means y = -7, r = 13.
We know x² + y² = r².
x² = r² - y²
x² = (13)² - (-7)² = 169 - 49 = 120.
x = √120 = 2√30.
we know cot∅ = x/y = (2√30)/(-7) = (-2√30)/7.
Hence, cot∅ = (-2√30)/7.
