B because IJK is equivalent or equilatra
Answer:
The value of n is 5
Step-by-step explanation:
Here, we want to get the value of n
To get this, we will need to use the appropriate trigonometric identity
As we can see, n represents the opposite as it the side that faces the angle given
m is the hypotenuse as it is the side that faces the right angle
The last side is called the adjacent
The trigonometric identity we want to use is that which connects the opposite to the adjacent
The appropriate trigonometric identity to use in this case is the tan
Thus;
Mathematically, the tan is the ratio of the opposite to the adjacent
hence;
tan 30 = n/ 5 √3
n = 5 √3 * 1/ √3
n = 5
Answer: $7.20
Step-by-step explanation: I find that proportions are the easiest to use when it comes to these types of problems. First, set up your proportion, it doesn't matter what is on the top or bottom as long as both sides have the same unit on top or bottom.
I started with the two numbers it gives us to base our answer off of. In this case, it is 5 pounds of apples costs 12$:
Next, set up the second half of the proportion, but add 'x' in place of what we are solving for, in this case the dollars.
Cross multiply here, or butterfly multiplication, or whatever it is called. Either way, multiply diagnolly twice, so in this case multiply 5 by x and 12 by 3. Write your numbers on each side of the equals sign.
Solve for x. Do this by dividing 36 by 5.
That's your answer. Hopes this helps solve proportions in the future!
Answer:THANK YOUUUUUUU
Step-by-step explanation:
Answer:
16.5km
Step-by-step explanation:
Liola drives 17km up a hill that is at a grade of 14 degrees. What horizontal distance, to the nearest tenth of kilometer, has she covered?
We solve using Trigonometric function of Cosine
cos theta = Adjacent/Hypotenuse
Theta = 14°
Hypotenuse = Distance up the hill = 17km
Adjacent = Horizontal distance = x
Hence,
cos 14 = x/17
Cross Multiply
x = cos 14 × 17
x = 16.495027347km
Approximately = 16.5km
The horizontal distance = 16.5km