The Law of Cosines is useful for this.
d² = e² + f² - 2ef·cos(D)
cos(D) = (e² + f² - d²)/(2ef) = (1.8² + 3.1² - 2²)/(2·1.8·3.1)
D = arccos(8.85/11.16)
D ≈ 37.5°
Answer:
The smaller number = -1
The larger number = 3
Step-by-step explanation:
Let the smaller number = a
Let the larger number = b
The larger of two numbers is 6 more than 3 times the smaller.
b = 3a + 6........... Equation 1
If the twice the larger number is increased by 3 times the smaller, the result is 3.
2b + 3a = 3........ Equation 2
Hence:
We Substitute 3a + 6 for b in Equation 2
2b + 3a = 3
2(3a + 6) + 3a = 3
6a + 12 + 3a = 3
9a = 3 - 12
9a = -9
a = -9/9
a = -1
b = 3a + 6........... Equation 1
b = 3(-1) + 6
b = -3+ 6
b = 3
Therefore,
The smaller number = -1
The larger number = 3
Answer:
52.6
Step-by-step explanation:
If you drew the triangle correctly, NO would be the hypotenuse (39), PO would be a leg of the triangle(31) and the other leg NP is unknown (we dont need to care about that too much). To find angle N, we can use trig. We can use sin to figure this out since we are given a side opposite to angle N and we are given the hypotenuse. (sin=opposite/hypotenuse). However, since we are trying to figure out the angle, we have to use arc sin or on the calculator. So if we type (31/39), we get 52.6
I can explain more if you dont understand
I’m pretty sure it’s d but ask if you need an explanation