Answer:
<u>BC = 3.1666</u>
Step-by-step explanation:
To solve this you need to know that cosine∅ = adjacent/hypotenuse. We already know that hypotenuse = 5 and that ∅ = 70*. By substituting these in you will get cosine 70* = adjacent/5. Evaluate cosine 70* on the calculator and get 0.633... Multiply both sides by 5 and get adjacent is about equal to 3.1666. Because BC is the adjacent side of the triangle, this is the length of BC.
Answer:
A. csc θ=1/sinθ
Step-by-step explanation:
From SOHCAHTOA,
sine = opposite/ hypotenuse
Cos = adjacent / hypotenuse
Tan = opposite / adjacent
In a right angled triangle, the cosecant of an angle is the length of the hypotenuse divided by the length of the side opposite the angle. This is the inverse of sine , therefore:
Csc Ф = 1/ sinФ
Answer:
answer is x=14.4.......,......
Answer:
y=x+4
Step-by-step explanation:
So, let's start with the fact that we have two numbers. Let's call one of them "x" and the other one "y." Let's also assume that "y" is the larger number and "x" is the smaller number.
We know that both of them added together (the sum) gives us 74. Mathematically, that means:
x+y=74.
We also know that the larger number ("y") is 4 more than the smaller number ("x"). Another way to say this is, if you have the smaller number and add 4 more to it, you'll end up with the larger number. Mathematically, this means:
y=x+4
Since we know that y=x+4, we can put "x+4" into the first equation for "y", giving us:
x+(x+4)=74
Simplifying gives us:
2x+4=74
-4 -4
---------
2x=70
--- ---
2 2
x=35
Since we now know that x=35, and we know that y=x+4, we now know that:
y=(35)+4
y=39
Now that we have both of the numbers, we should check our work to ensure it's correct:
Does 39+35=74? Yes it does.
Is 39 (the larger of the two numbers) four more than the smallest number (35)? Yes it is.
