Tell you what I'm gonna do: I'll show you the work, and then
YOU can take the final steps to the answer.
Alisha needs $228.
She has been saving up for it.
How much more does she need ?
We'll know that, as soon as we figure out how much she has <u>now</u>.
She has saved $4.75 each week for the past 8 weeks.
That means she has put $4.75 into a jar 8 <em>times</em>.
So now, she has 8 <em>times</em> $4.75 .
How much is 8 <em>times </em>$4.75 ?
The difference between $228 and that number
is how much more she needs.
Over to you.
Take it !
9514 1404 393
Answer:
Step-by-step explanation:
The tangent of the angle can be found using the identity for the tangent of the difference of angles.
tan(α-β) = (tan(α) -tan(β))/(1 +tan(α)tan(β))
The tangent of the angle of each vector is the ratio of the j coefficient to the i coefficient.
tan(α) = -2/3
tan(β) = 4/7
tan(α-β) = (-2/3 -4/7)/(1 +(-2/3)(4/7))
= (-14-12)/(21 -8) = -26/13 = -2
Then the magnitude of the angle between the vectors is ...
arctan(2) ≈ 63.43°
Answer:
3:5
Step-by-step explanation:
We are looking for the ratio of baskets made to baskets attempted
made: attempted
9:15
We can divide each number by 3
9/3: 15/3
3:5
The ratio of baskets made: attempted is 3:5
Answer:
r < 3/2 or r < 1.5
Step-by-step explanation:
-8r - 9 > 21
-8r > -21 +9
-8r > -12
divide both sides by -8
= r < 3/2 or 1.5