9514 1404 393
Answer:
- tan(A) = 7/24
- sin(A) = 7/25
- cos(A) = 24/25
Step-by-step explanation:
The mnemonic SOH CAH TOA can help you remember the trig ratios:
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
Tan = Opposite/Adjacent
With respect to angle A, the sides are Adjacent = 24; Opposite = 7, Hypotenuse = 25. Then the desired trig ratios are ...
tan(A) = 7/24
sin(A) = 7/25
cos(A) = 24/25
Answer: 353 square inches
Step-by-step explanation:
First, you need your slope. this can be found by the slope formula: m = (y2 - y1)/(x2 - x1)
(3, -4) and (-4, 4)
(x1, y1) and (x2, y2)
m = (4 - -4)/(-4 - 3)
m = (8)/(-7)
so your slope is -8/7
now, to find a line through the given points, the only piece of information you're missing is your y-intercept. you just have to pick one point and plug it into slope-intercept form: y = mx + b, then solve for b
(-4) = (-8/7)(3) + b
-4 = -24/7 + b
-4/7 = b
so plug all of it into y = mx + b:
y = (-8/7)x - 4/7
Answer:
f(x) = (x − 3)² − 11
Step-by-step explanation:
To convert to vertex form, complete the square.
f(x) = x² − 6x − 2
f(x) = x² − 6x + 9 − 9 − 2
f(x) = (x − 3)² − 11
The solutions are x equals 38 and x equals 40