Answer:
Step-by-step explanation:
Time is the independent variable here. The tank is being filled and the amount of water in it is dependent on how much time passes by.
This is a straight line function (linear function); the rate at which the tank is filled is:
750 m^3
----------------
1 hr
Answer:
x=18
Step-by-step explanation:
we know that in parallelogram opposite sides are equal
Hence on equating we get
x=18
Answer:
324 ft
Step-by-step explanation:
1. We know there are 3 points (A, B, and C)
so far. We also know B is in the middle of A and C.
A----B----C
2. Reading further, post B is 2x as far from C as it is from A.
A----B----.----C
3. Now we know the numeral measurements of the entire stretch going from A to C (486ft).
A----B----.----C
<- 486ft ->
4. How far is point B from C??? Using the info we have, we need to break the total(486) into 3 parts.
A----B----.----C
1 2 3
5. When we divide or break 486 into 3, we get 162 ft. So each of those 3 dividing sections between A B and C are 162ft.
A----B----.----C
162 162 162
6. We know that the dividing section between B and C is double the dividing section between A and B. So, to conclude, you double 162 = 324.
7. Make sure to put it into the correct form to answer (ft) and there you go!
Hope I helped! :))
Short Answer C
Nice little problem. The catch is that alpha and beta both add up to 90 degrees.
Here's why.
α + β + right angle = 180° All triangles have 180° A right and = 90°.
α + β + 90 = 180 Right angles are 90° Now subtract 90° from both sides
α + β = 180 - 90
α + β = 90
Now all you have to do is put in the x values for alpha and beta and equate them to 90
5x/3 + 20 + 2x/3 + 14 = 90 Collect the light terms.
5x/3 + 2x/3 + 20 + 14 = 90
7x/3 + 34 = 90 Subtract 24 from both sides.
7x/3 = 90 - 34
7x/3 = 56 Multiply by sides by 3
7x = 3*56
7x = 168 Divide by 7
x = 168/7
x = 24
That's not quite the answer
The question wants alpha.
α = 5x / 3 + 20
α = 5*24/3 + 20
α = 120/3 + 20
α = 40 + 20
α = 60
Answer C <<<<<<