Answer:
-56.9034
Step-by-step explanation:
The value 170 000 is 100x larger than the value 170.
24 yards because 48 divided by 6 is 8 and 8 times 3 is 24
Answer:
$ 5.65
Step-by-step explanation:
let the cost of a pencil and a ruler be $p and $r respectively.
4p +r= 1 -----(1)
6p +3r= 2.10
divide by 3 throughout:
2p +r= 0.70 -----(2)
Q: 3p +13r= ?
(1) -(2):
(4p +r) -(2p +r)= 1 -0.70
4p +r -2p -r= 0.30 <em>(</em><em>expand</em><em>)</em>
2p= 0.30 <em>(</em><em>simplify</em><em>)</em>
p= 0.30 ÷2 <em>(</em><em>÷</em><em>2</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>)</em>
p= 0.15
subst. into (1):
4(0.15) +r= 1
r +0.60= 1
r= 1 -0.60
r= 0.40
cost of three pencils and thirteen rulers
= 3p + 13r
= 3(0.15) + 13(0.40)
= 0.45 + 5.20
= $5.65
We will evaluate Martin's work step by step:
Step 1:
f (x) = sinA,
where
A = arctan x
and
x = tanA
step 1 it's OK
Step 2:
tanA = opp / adj = x / 1
step 2 it's OK
Step 3:
hypotenuse = square root of 1 ^ 2-x ^ 2 = square root of 1-x ^ 2
step 3 it's NOT OK
The correct form in this case is:
hypotenuse = square root of 1 ^ 2 + x ^ 2 = square root of 1 + x ^ 2
Answer:
Martin did make his first mistake in Step 3.