Answer:
1/ √2
Step-by-step explanation:
Here, we want to get the value of sin 45
Mathematically the sine is the ratio of the opposite to the hypotenuse
The opposite here is 1 while the hypotenuse is
√2
so the value of sin 45 will be;
1/ √2
She needs 1/6 almonds , 1/3 walnuts and 1/2 of raisins as a fraction of total trail mix.
So she spends $2.5 on almonds. $5 on walnuts and $10 on raisins (total $15)
so that is 2.5/12 = 0.208 pounds almonds
5 / 10.5 = 0.476 pound walnuts
10/4 = 2.5 pounds raisins
so total wieght of the trail mix is 3.19 pounds
If you want to cheat, paste the formula in Wolfram Alpha. However, this one is not that difficult. From the fact that x and y are squared you can infer that this is a circle. The 9 reveals that the radius r^2 is 9, so radius is 3.
The (x-2) tells us that the circle is shifted to the right by 2. Likewise, y+1 shifts it down by one. So the center is at (2,-1). If the equation would be x^2 + y^2 = 9, you'd have a circle exactly on the origin.
Hopefully this helps you break down the equation and pick the right picture!
Answer:
y = -4x+4
Step-by-step explanation:
Pick two points on the line
(0,4) and (1,0)
We can find the slope
m = (y2-y1)/(x2-x1)
= (0-4)/(1-0)
= -4/1 =-4
We know the y intercept is 4
The slope intercept form of the equation is y = mx+b where m is the slope and b is the y intercept
y = -4x+4
Answer:
<CFE = 28
<RPQ = 53
Step-by-step explanation:
1)
<CFE + 152 = 180
<CFE = 180 - 152
<CFE = 28
2)
Complementary means the angles add up to 90 so:
<RPQ + 37 = 90
<RPQ = 90 - 37
<RPQ = 53
