To find A∩B, you need to find the values that both data sets include, or where they overlap. Both data sets include the number range of 0 to 3. Because both data sets include 0, but set A does not include 3, the answer is [0, 3).
Answer:
In words, Cosine theta equals plus or minus square root of seven over 4,tangent theta equals plus or minus three over root seven
Step-by-step explanation:
Given that sin ∅ =3/4 It means the ratio of the opposite side to the hypotenuse side is 3:4.
Using the Pythagoras theorem we can calculate the hypotenuse adjacent as follows.
a²+b²=c²
a²=c²-b²
a²=4²-3²
a²=16-9
a²=7
a=√7
Then Cos ∅= opposite/ adjacent
=√7/4
Then Tan ∅ = opposite/adjacent
=3/√7
In words, Cosine theta equals plus or minus square root of seven over 4,tangent theta equals plus or minus three over root seven.
Answer:
A. x=0
Step-by-step explanation:
x+20+10x=20+9x
cancel equal terms
x+10x+9x
add x to 10x
11x=9x
move variable to left
11x-9x=0
subtract 11x to 9x
2x=0
divide Both sides by 2
x=0
Answer:
C. The slope is 3 and the y-intercept is -3
Answer:
3.6 pounds
Step-by-step explanation:
If 1 bottle weighs 3/5 pounds
the 6 bottles will weigh 6 x 3/5
= 18/5
ratio method :
1:3/5
6:x
since the ratios are direct we can cross multiply
18/5 = 1x
so the 6 bottles weigh 18/5 pounds or 3.6 pounds
