Answer:
From given relation the value of β is 37.5°
Step-by-step explanation:
Given as :
α and β are two acute angles of right triangle
Acute angle have measure less than 90°
Now given as :
= 
Or, 
=
SO, 
= 
Or, 90° = + 
or, 90° = 
+ 4x
Or, 90° = 
So, x = 
= 15°
∴ = 
So, = sin
∴ The value of Ф_1 = = 37.5°
Similarly = 
So ,The value of Ф_2 = 
= 52.5°
∵ β 
α
So, As 37.5°52.5°
∴ β = 37.5°
Hence From given relation the value of β is 37.5° Answer
A) 1.75p + 12 = 54
1.75p = 42
p = 24 bags
b) 1.75(70) + 12 = b
122.5 + 12 = b
b = $134.50
Answer:
D = $8637.45
Step-by-step explanation:
Rate = 3.65% = 0.0365
Principal = 5000
Time (t) = 15 years
N = 12 (since its compounded monthly)
Compound interest (A) = P(1 + r/n)^nt
A = 5000(1 + 0.0365 / 12)^15*12
A = 5000(1 + 0.00304)¹⁸⁰
A = 5000(1.00304)¹⁸⁰
A = 5000 * 1.7269
A = 8634.86
The investment would worth $8634.86
Note: the final answer may vary slightly from the answer in the options due to ± from approximation
3/7 is the answer for this question
Answer:
<em>y = (-mi/h)x + b</em>
y = total distance left to cover
-mi/h = speed at wich he is covering ground
b = the total distance to cover from start to finish
Step-by-step explanation:
Slope Intercept form without other variables filled is shown like this with <em>mx </em>being the slope and <em>b </em>being the y intercept
<em>y = mx + b</em>
all we need to do is fill in known variables with hours multiplied by <em>x </em>represented as <em>m</em>...
<em>y = (-mi/h)x + b</em>
note the negative symbol, this shows that the higher that miles an hour (mi/h) aka speed is, the more distance he will cover REDUCING the distance to cover faster meaning the line will slope DOWNWARD
<em>b</em> would be the the total distance that he has started with, meaning on the point where the line crosses the y axis, the number it crosses at will represent how much he has started with
