Answer:
h = 9 cm.
Step-by-step explanation:
V = kBh where k is the constant of variation.
From the given info:
32 = k*16*6 = 96k
So k = 32/96 = 1/3.
So we have the equation of variation:
V = 1/3Bh
When V = 60 B = 20, so:
60 = 1/3 20h
20h = 60 * 3 = 180
h = 180 /20 = 9.
Answer:
85
Step-by-step explanation:
think about the diagonal of the frame, breaking up a rectangle into 2 right angled triangles. we are already given the legs of the triangle (77, and 36) and now we have to solve fro the hypotenuse (or the diagonal). so use pythagorean theorem :
77^2 + 36^2 = c^2
7225 = c^2
c = 85
X is equal to 12
This is because 5 was multiplied and 6 making 30. So you have to multiply 2 and 6 making x 12. Hope that makes sense
Let’s take fred age as x and Natalie’s age as y.
So,
A/Q
X + Y = 43. Let it be eqution 1
and
X + 4Y = 79. Let it be equation 2
Combining equation 1 and 2, we get
( X + Y) + 3Y = 79
43 + 3Y = 79
3Y = 36
Y = 12
Now, evaluating the value of Y in equation 1 we get,
X + 12 = 43
X = 31
Therefore, Fred is 31years old and Natalie is 12 years old.
