Answer:
3.1
Step-by-step explanation:
sine 70= x/4
sin= opposite/hypotenuse
Hi there! :D The answer to your question is 47/30. The way I got it is because ratio means fractions or part of so it says skittles first so skittles go first and gummy bears go on the bottom so it is 47/30. Yummy! ;)
Hope I helped! =D
Answer:
C. the average total cost for the first month of a gym membership
Step-by-step explanation:
x=1 is for month 1,
the value of y includes 1-month fee and one off payment, so this is the average total for the first month of membership
It sounds like everything is being described in reference to angle A, so a good starting point is to pick a variable to represent the measure of angle A. I'm going to use "a" for that.
Next, I'm going to take the verbal descriptions in the problem and "translate" them into "math language". They say angle B is 5 times angle A, so that means the measure of angle B is actually 5a. The size of angle C is 5 degrees less than 4 times the size of A, so that translates to 4a-5.
We now know the following:
Angle A: a
Angle B: 5a
Angle C: 4a-5
Now, to find the value of a, we need to remember that all the angles in a triangle add up to 180 degrees.
So we have: a+5a+4a-5 = 180
We can solve that equation by combining like terms to get: 10a-5=180
We can add 5 to both sides: 10a =185
And divide by 10: a = 18.5
That tells us the measure of angle A! (It's 18.5 degrees). Now we can go back and find B by multiplying A by 5. We get 92.5 degrees for that.
Finally, we can find C by taking 4*18.5-5. We get 69 degrees for that.
One last thing-- let's check that they really do add up to 180! 69+92.5+18.5 = 180. Yep!
Hope that helps you!!
D, 8.5
a squared + b squared = c squared for the sides and hypotenuse of the triangle.
6^2 + 6^2 = c^2
36 + 36 = c^2
72 = c^2
c = square root of 72, 8.49