Answer:
7.5 kg
Step-by-step explanation:
Ratio of sand to cement = 24kg : 5kg
Today he needs to make the same type of mortar mix, but he will use 36kg of sand.
Let
x = quantity of cement used
Ratio of sand to cement = 36 kg : x kg
Equate both ratios
24 kg : 5 kg = 36 kg : x kg
24/5 = 36/x
Cross product
24 * x = 5 * 36
24x = 180
x = 180/24
x = 7.5
x = quantity of cement used = 7.5 kg
Six billion three hundred ninety four thousand and three
Using the method of Lagrange multipliers, we have the Lagrangian
with partial derivatives (set equal to 0)
From
and
, we find that
. Then substituting into
, we find
and substituting these into
, we get
So we have two possible critical points,
, which give extreme values of
and
, respectively.
Answer:
4. 225
Step-by-step explanation:
The distance between points (-5, -3) and (-5, 12) is the length of the side of the square. Since both points have an x-coordinate of -3, they lie on the same vertical line. The distance between them is |12 - (-3)| = |12 + 3| = |15| = 15. The side measures 15 units.
area = side^2
area = 15^2 = 225
Well according to my calculations the image isn't exactly correct, but:
n(unknownangle) = 180 - 125 = 55
360 = 120 + 55 + 90 + x
x = 95
180 - 95 = 85
------------------
x = 95
y = 85
