A) cos θ = -(√24)/7 and tan θ = 5/√24 and
B) sec θ = 7/(√24) and tan θ = -5/(√24)
Sine is the ratio of the opposite side of an angle to the hypotenuse. Since sin θ = -5/7, the opposite side is -5 and the hypotenuse is 7.
For A, if the cosine is -√24/7, and the sine was -5/7, then the opposite/adjacent, tangent, would be -5/-(√24). However, two negatives divided make a positive, so the tangent would be 5/√24.
For B: the secant is 1/cos. This means it is the reciprocal, or flip, of the cosine. Instead of A/H, sec = H/A. This means the hypotenuse is 7 and the adjacent side is √24. Tangent = opposite/adjacent; this gives us -5/√24.
For C: the secant, H/A, is -7/5. This means the tangent, O/A, would be -5/5 = -1. This is incorrect.
For D: the cosine, A/H, is √24/7. This means the tangent, O/A, would be -5/√24; this is incorrect.
Answer:
D
-----------------------------------------------------------------------------------------------------------------
Answer:
Step-by-step explanation:
x^2+8x-3=0 (move constant to other side by adding 3 to each side)
x^2+8x=3 (halve thr linear coefficient, square it and add to each side, (8/2)^2=16)
x^2+8x+16=3+16 (now the left side is a perfect square)
(x+4)^2=19 (now take the square root of each side)
x+4=+-(19^(1/2)) (finally subtract the constant to isolate x by itself)
x= -4+-(19^(1/2))
x=negative four plus or minus the square root of nineteen
Answer:
Option A. half the distance between point A and point K
Step-by-step explanation:
Ax=Fx
Fy=Ky
The distance between point A and point K is:
AK=Ax+Fx+Fy+Ky
Like Ax=Fx and Fy=Ky
AK=Fx+Fx+Fy+Fy
AK=2Fx+2Fy
Common factor 2:
AK=2(Fx+Fy)
The distance between point P and point Q is:
PQ=Fx+Fy
Then the distance between point P and point Q is half the distance between point A and point K:
PQ=Fx+Fy=AK/2=2(Fx+Fy)/2=Fx+Fy
Determine the volume
The mayonnaise is sold per unit of volume (in³). Therefore we need to find the volume of the jar to determine the cost. The volume of the jar is equal to the volume of a cylinder.
v = π × r² × h
Input the numbers
v = 3.14 × (1.5)² × 7
v = 3.14 × 2.25 × 7
v = 49.445
The volume of the jar is 49.445 in³
Determine the cost
cost = volume in in³ × the cost per in³
cost = 49.445 × 0.08
cost = 3.9564
to the nearest hundredth
cost = 3.96
The cost of the jar of mayonnaise is $3.96
