20,000 + 3,000 + 400 + 30 + 6
Answer:
volume of the tank be when the sensor turns on = 92.316 ft³
Step-by-step explanation:
Volume of a cylinder = πr²h
Pi = π = 3.14
Radius = r = 7 ft
Height = h = 3 ft
Volume of a cylinder = πr²h
= 3.14 × 7² × 3
= 3.14 × 49 × 3
= 461.58 ft³
The tank comes equipped with a sensor to alert the farmer to fill it up when the water falls to 20% capacity.
volume of the tank be when the sensor turns on = 20% of Volume of a cylinder
= 0.20 * 461.58 ft³
= 92.316 ft³
volume of the tank be when the sensor turns on = 92.316 ft³
Since triangle ABC is similar to triangle DEF then the ratio of the corresponding sides is constant.
The ratio of the corresponding lengths is referred to as the linear scale factor.
Considering the heights of the two triangles;
L.S.F = 14/6
= 7/3
The ratio in area (A.S.F) is given by (L.S.F)²
Therefore, A.S.F = (7/3)² = 49/9
Thus te ratio of the area of triangle ABC to DEF is 49:9
Answer:
x = 11
Step-by-step explanation:
3x - 7 = x + 15 ( subtract x from both sides )
2x - 7 = 15 ( add 7 to both sides )
2x = 22 ( divide both sides by 2 )
x = 11
<u>Answer:</u>
Cost of package of paper = 4$
Cost of stapler = 7$
<u>Explanation:</u>
Consider the cost of package of paper = x and that of stapler = y.
Now, we are given that cost of 3 paper packages and 4 staplers = 40$
Hence we get, 3x + 4y = 40 as 1st equation.
we are also given, cost of 5 paper packages and 6 staplers = 62$
Hence, the second equation is 5x + 6y = 62
Now, solving the two equations by method of elimination, we first equate coefficients of any one variable say x by multiplying 1st equation by 5 and second by 3 we get ->
15x + 20y = 200
15x + 18y= 186
Subtracting the two we get y = 7 and substituting this value of y in first equation we get x = 4
which gives the required cost of one paper package = x = 4$
and one stapler = y = 7$
