Answer:
16.5 hours
Step-by-step explanation:
Here is the explanation. As Hye drinks 4/3 gallons of water in 11/2 hours, we have a constant rate. There are 12 thirds in 4, so we are trying to find how long it takes Hye to drink 12/3 gallon. In this case, 4/3x3=12/3, so we multiply 11/2 by 3 as well, which gives us 33/2 hours. 33/2 in decimal form is 16.5 hours. Hope it helps!
Round 5.7255 to the thousands place
the place after the thousands place (5) rounds up the 5 before it
therefore 5.726 is your answer
Answer:Jeff is 26 years old
Erica is 25 years old
Alden is 24 years old
Step-by-step explanation:
Let the age of Jeff be x years.
Let the age of Erica be y years.
Let the age of Alden be z years.
Jeff is one year older than Erica. This means that
x = y + 1
Erica is one year older than Alden. This means that
z = y - 1
If the sum of their ages is 75, it means that
x + y + z = 75 - - - - - - - - - - - - 1
Substituting x = y + 1 and z = y - 1 into equation 1, it becomes
y + 1 + y + y - 1 = 75
3y = 75
y = 75/3 = 25 years
x = y + 1 = 25 + 1
x = 26 years
z = y - 1 = 25 - 1
z = 24 years
Answer:
Step-by-step explanation:
What's inside the set of parenthesis is a description of the angle in terms of cos and sin. This says that the angle has a cos of square root of 3 over 2, and a sin of negative 1 over 2.
The cos of this angle is the line directly horizontal ON the x axis, since cos is the same as x.
The sin of this angle is the line that would be there if you dropped an altitude from the arrow on the x line to the arrow on the other line.
The tangent ratio, being side opposite over side adjacent will give us the angle we need. Use the inverse tangent and enter in those values and you'll get that the angle is -30.
OR
even easier than that, look at your unit circle to see where there is a cos, sin combination of those values. It will be located at -30 degrees, which is also 330 degrees.
