In scientific notation it would just be 3.06 x 0, it is the same thing as the regular notation.
cos(20) = sin(70)
note how 20+70 = 90
The general rule is that if x+y = 90, then cos(x) = sin(y). The rule works in reverse as well. Another way to phrase the rule is cos(x) = sin(90-x).
So,
Note: if the computer doesn't like the answer of "sin 70" then try "sin(70)" and see how that works out. It's also possible that the teacher wants the single numeric value of "70" in the first box rather than the "sine" part to go along with it. Though that would be strange and incorrect since cos(20) = 70 is a false statement.
Answer:
QR = 3
Step-by-step explanation:
given that Q is on the segment PR , then
PQ + QR = PR ( substitute values )
16 + QR = 19 ( subtract 16 from both sides )
QR = 3
12) This one would be (b) because if you were reading it out loud it would be 2 is less than 3x, and 3x is greater than 5.
13) To make this easier for you I would change everything to a decimal.
Peaches: 3.25 pounds
Mangos: 4.35 pounds
Since the peaches are .89 per pound you times
3.25(.89)=2.8925 (which rounds to 2.89)
Since the magpies cost 1.26 per pound you would times
4.375(1.26)=5.5125 (rounds to 5.51)
Then 5.51-2.89=2.62
So the answer is A
14)3x is greater than or equal to nine
In this case x would have to be three or greater. So the answer would be B
15) The answer is B
16)c
— -5=20
2
You first get rid of your constant which in this case is -5, so you add 5 to both sides.
C
— -5=20
2
+5 +5
Then you would get
C
— =25
2
Now you want to try to get the variable alone, so you cancel the twos out, what you do to one side you have to do to the other.
2 C
— =25(2)
2
C=50
The answer is D
35 = 7 * 5
(7n + 3)(5n + 1)
= 35n^2 + 7n + 15n + 3
= 35n^2 + 22n + 3
so answer is
(7n + 3)(5n + 1)
