In ΔMNO, the measure of ∠O=90°, MN = 9 feet, and OM = 4.2 feet. Find the measure of ∠N to the nearest degree.
1 answer:
Answer:
The measure of angle N to the nearest degree is 28 degrees
Step-by-step explanation:
To answer this question, we shall be needing a diagrammatic representation of the triangle. Please check attachment for this.
To calculate the angle N, we shall be making use of trigonometric identities. From the diagram we see that we have the hypotenuse ( the longest side and the side facing the angle 90) and also the opposite ( the side facing the angle N)
Thus, the correct trigonometric identity to use here is the Sine
Mathematically, the sine of an angle = length of the opposite/length of the hypotenuse
Our opposite here is 4.2 feet with our hypotenuse as 9 feet
Plugging these values, we have
Sin N = 4.2/9
Sin N = 0.46666667
N = arc sin (0.46666667)
N = 27.82 , to the nearest degree we have 28 degrees
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Answer:
The cost of each juice boxes is $ 2
The cost of each hot dogs is $ 1 .
Step-by-step explanation:
Given as :
The amount which Bill pays for 3 juice boxes and 2 hot dogs = $ 8
The amount which Sarah pays for 2 juice boxes and 1 hot dogs = $ 5
Let The cost of each juice boxes = $ j
And The cost of each hot dogs = $ h
Now, According to question
3 j + 2 h = 8 .........A
2 j + 1 h = 5 ..........B
Now, solving the equations
2 × ( 2 j + 1 h ) = 2 × 5
or, 4 j + 2 h = 10
I.e ( 4 j + 2 h ) - ( 3 j + 2 h ) = 10 - 8
Or, ( 4 j - 3 j ) + ( 2 j - 2 h ) = 2
Or, j + 0 = 2
∴ j = 2
So , The cost of each juice boxes = j = $ 2
Now, Put the value of j in Eq A
I.e 3 × 2 + 2 h = 8
Or, 6 + 2 h = 8
Or. 2 h = 8 - 6
or, 2 h = 2
∴ h = = 1
So, The cost of each hot dogs = h = $ 1
Hence The cost of each juice boxes is $ 2
And The cost of each hot dogs is $ 1 . Answer
<h2>Hello!</h2>
The answer is:
To solve the problem, remember to set your calculator in "degree mode"
So, we are given that the angle A is equal to 68°
So, we have that:
Hence, we have that:
Have a nice day!