Answer:
53.13⁰
Step-by-step explanation:
Use sine:
sinθ=opposite/hypotenuse
sin∠A=4/5
∠A=sin⁻¹(0.8)=53.13010235415≈53.13⁰
Answer:
six uniys to left of 3 is= +2,+1,0,-1-2-3
three unit right of 15is= +16,+17, +18
Eight unit to the left of =-4,-5,-6,-8,-9,-10,-11,-12
seven units ti right of -5=-3,-2,-1,0+1,+2,+3,+4
Answer:
Ф = 
Step-by-step explanation:
It is a bit difficult to input the work here, so I uploaded an image
- First we can use the trig identities to change sec²(Ф) to tan²(Ф) + 1
- Then we can combine like terms
- Then we can factor this as a polynomial function
- Then we can set each term equal to zero and solve for Ф
- The first term tan(Ф) - 2 = 0 has no solution because tan(Ф) ≠ -2 anywhere
- The second term tan(Ф) - 1 = 0 has two solutions of
and 
so these are the solutions to the problem
<h3>
Answer:</h3>
6 hours
<h3>
Step-by-step explanation:</h3>
The two hoses together take 1/3 the time (4/12 = 1/3), so the two hoses together are equivalent to 3 of the first hose.
That is, the second hose is equivalent to 2 of the first hose. Two of the first hose could fill the vat in half the time one of them can, so 6 hours.
The second hose alone can fill the vat in 6 hours.
_____
The first hose's rate of doing work is ...
... (1 vat)/(12 hours) = (1/12) vat/hour
If h is the second hose's rate of doing work, then working together their rate is ...
... (1/12 vat/hour) + h = (1/4 vat/hour)
... h = (1/4 - 1/12) vat/hour = (3/12 -1/12) vat/hour = 2/12 vat/hour
... h = 1/6 vat/hour
so will take 6 hours to fill 1 vat.
Answer:
6.48/12=B
Step-by-step explanation:
B=6.48
6.48/12=0.54
Each Gatorade bottle costs 54 cents.
