Answer:
Domain : 0° < x <90°
Range: 90° < y < 180°.
Step-by-step explanation:
When we have a function:
f(x) = y
the domain is the set of the possible values of x, and the range is the set of the possible values of y.
In this case we have:
x + y = 180°
such that x < y
Let's analyze the possible values of x.
The smallest possible value of x must be larger than 0°, as we are workin with suplementary angles.
Knowing this, we can find the maximum value for y:
0° + y = 180°
y = 180° is the maximum of the range.
Then we have:
0° < x
y < 180°
To find the other extreme, we can use the other relation:
x < y.
Then, we can impose that x = y (this value will not be either in the range nor the domain)
if x = y then:
x + y = x + x = 180
2*x = 180
x = 90°
This will be the maximum of the domain and the minimum of the range.
Then we have that the domain is:
0° < x <90°
And the range is:
90° < y < 180°.
Answer:
y=3-3/4x
Step-by-step explanation:
3x+4y=12
-3x -3x
4y=12-3x
/4 /4
y=3-3/4x
Answer:
1. A container of milk 2L
2. An Eyedropper has 1 mL
3. A cup of punch 250 mL
4. A jar of pickles 500mL
Step-by-step explanation:
Without even measuring, just think of this problem logically. Remember that a 1 L is 1000mL, so it is 1000 times more than 1 mL.
A milk container would hold more than a cup of milk and that is more than 20 mL. The most logical answer would be 2L.
An eyedropper can hold just a little amount of liquid. Just think that it dispenses liquid in drops, the best answer would be 1mL (which is actually an estimate of the volume of a drop is.)
A cup of punch is about 250 mL. The keyword there is a CUP and 25L is a big amount and the cup would have to be HUGE.
Same as above, the keyword there is a jar. A 50L jar would be a very big amount for just a jar of pickles.
Distributive Property ( A number, n, is multiplied to the expression in parentheses)
Answer:
10 days
Step-by-step explanation:
10 workers work 2 hrs a day for 5 days, so the work content is 10*5*2=100 manhours.
2 people work 5 hrs a day, so they deliver 10 manhours a day. To finish a work of 100 manhours,they’ll need 100/10=10 days.
The answer is 10 days.
