Answer:20:18
Step-by-step explanation:
Answer:
csc(q)
Step-by-step explanation:
You could plug in values for q for the problem and the choices and see which choice gives the same outputs. Of course, that would mean you need to know that cot() is cos()/sin() or 1/tan() and csc()=1/sin()
So anyways you can also use identities to rewrite the given expression
sin(q)+cos(q)cot(q) [given ]
sin(q)+cos(q)cos(q)/sin(q) by quotient identity
sin(q)+cos^2(q)/sin(q) [simplify]
sin(q)sin(q)/sin(q)+cos^2(q)/sin(q) multiply first term by 1
sin^2(q)/sin(q)+cos^2(q)/sin(q) [simplify ]
(sin^2(q)+cos^2(q))/sin(q) [combined fractions ]
1/sin(q) by Pythagorean identity
csc(q) by reciprocal identity
Answer:
3/4
Step-by-step explanation:
Fraction of total area of the circle each color occupies in the spinner.
purple = 1/8
red = 1/4
orange = 1/8
yellow = 1/8
green = 1/4
blue = 1/8
Landing on yellow or purple: 1/8 + 1/8 = 1/4
Not landing on yellow or purple = 1 - 1/4 = 3/4
Answer:
6 4/39
Step-by-step explanation:
The above is the answer because you are just adding a whole number and a fraction which is what mixed numbers/mixed fractions are.
The equation f(t) = -16t² + 176t is a quadratic equation, and so its maximum must be found at its vertex. In order to get this, you can use the formula
t = -b/2a.
Substituting, we have:
t = -176/2(-16) = 5.5 seconds.
But this is just only the time needed for the flare to reach its maximum height. To solve for the time the flare has been in the air, we multiply the maximum height by 2.
2 x 5.5 seconds = 11 seconds.