Answer:
9.72°
Step-by-step explanation:
Step one
Given data
let the hypotenuse be the distance the cyclist traveled = 6.5km
and let the opposite be the height of the mountain = 1.1 km
Step two:
<u>Applying SOH CAH TOA</u>
sin ∅= opp/hyp
∅= sin-1 opp/hyp
∅= sin-1 1.1/6.5
∅= sin-1 0.169
∅= sin-1 0.169
∅=9.72°
Answer:
Hence, the two numbers chosen or plotted by them are:
-75 and 75
Step-by-step explanation:
It is given that Bernita and Derek each plot a number on a number line with the properties:
- The two numbers they have plotted are unique or different.
- Also there absolute value is same.
- The sum of the absolute values of the numbers is 150.
<em>We know that</em><em> Absolute value</em><em> of a positive number is a number itself and absolute value of a negative number is it's inverse.</em>
Hence, the two numbers that satisfy the above three properties are:
-75 and 75.
Since,
|-75|=75
and |75|=75.
Hence, |-75|=|75|
Also |-75|+|75|=75+75=150
Answer:
belongs to the line 
. Please see attachment below to know the graph of the line.
Step-by-step explanation:
From Analytical Geometry we know that a line is represented by this formula:
Where:
- Independent variable, dimensionless.
- Dependent variable, dimensionless.
- Slope, dimensionless.
- y-Intercept, dimensionless.
If we know that 
, 
and 
, then we clear slope and solve the resulting expression:
Then, we conclude that point belongs to the line , whose graph is presented below.
Answer: 1/8
Step-by-step explanation: 3/4 x 1/6 = 24/3 (simplify to 1/8)
