Answer:
The answer is B
Step-by-step explanation:
f(x) = 4x² + 1
g(x) = x² - 5
(f-g)(x) = 4x² + 1 - (x²-5)
= 4x² + 1 - x² + 5
= 3x² + 6
2+3/5+1 1/4=3.85
3.85 pounds is the total weight.
Answer:
(I)Sin Θ=4/5
(II) Cos Θ =-3/5
(III) Tan Θ = -4/3
(IV) Cosec Θ = 5/4
(V) Sec Θ = -5/3
(VI) Cot Θ = -3/4
Step-by-step explanation:
(-24,18)
This lies in the second quadrant from the diagram.
Note that the angle is at the origin (0,0).
Using Pythagoras triples(18,24,30)
Hypotenuse = 30
Opposite=-24
Adjacent=18
(I)Sin Θ= Opposite/Hypotenuse
=-24/30=-4/5
Note: (Sine is Positive in the Second Quadrant)
Sin Θ =4/5
(II) Cos Θ = Adjacent/Hypotenuse
=18/30=3/5
Since Cosine is negative in the Second Quadrant
Cos Θ=-3/5
(III) Tan Θ = Opposite/Adjacent
Tan Θ = -24/18= -4/3
(IV) Cosec Θ = 1/Sin Θ = 5/4
(V) Sec Θ = 1/cos Θ = -5/4
(VI) Cot Θ = 1/tan Θ = -3/4
<u>Given </u><u>:</u><u>-</u><u> </u>
- C is the midpoint of BD .
- BC = x + 7
- CD = 8x
<u>To </u><u>Find</u><u> </u><u>:</u><u>-</u>
<u>Answer</u><u> </u><u>:</u><u>-</u><u> </u>
As C is the midpoint , we can say that the line is BCD . So that ,
Substitute the values ,
- ( x+7 ) + 8x = BD
- BD = x + 8x + 7
- BD = 9x + 7 .
<u>Hence</u><u> the</u><u> </u><u>value</u><u> of</u><u> </u><u>BD </u><u>is </u><u>9</u><u>x</u><u> </u><u>+</u><u> </u><u>7</u><u> </u><u>.</u>
Raul uses 998 grams of fruits.
This can be solved by converting 48,000 milligrams to grams. We do this by dividing by 1000. We get 48g. Then, we convert 0.5kg to grams by multiplying by 1000. We get 500g