Answer:
First side is: 12cm
Second side is: 36cm
Third side is: 16cm
Step-by-step explanation:
Let x represent the shorter side
Then 3x represents the second side, and
x + 4 represents the third side.
Perimeter of three sides:
P = x + 3x + (x + 4)
Perimeter is 64, so
64 = x + 3x + (x + 4)
64 = 5x + 4
60 = 5x
12 = x
First side is x: 12cm
Second side is 3x: 3(12) = 36cm
Third side is x + 4: 12 + 4 = 16cm
Answer:
The constant of variation is k = -2 ⇒ (B)
Step-by-step explanation:
The equation of the direct variation is y = k x, where
- k is the constant of variation
- The constant of variation k =
The given table has 4 points (-1, 2), (0, 0), (2, -4), (5, -10)
We can use one of the points <em>[except point (0, 0)]</em> to find the value of k
∵ (-1, 2) is a given point
∴ x = -1 and y = 2
∵ k =
→ Substitute the values of x and y in the relation above
∴ k = 
∴ k = -2
The constant of variation is k = -2
The guess-and-test strategy may be made easier by using the choices.
A. 38 sixth graders ----> 57 - 38 = 19 . There are 19 seventh graders. This option already satisfy the condition that the number of sixth graders should be twice that of the seventh graders. There is no need to test for the remaining choices. The answer is letter A.
Answer:
P = 62° Q = 28°
Step-by-step explanation:
Let x = measure of angle Q
then y = measure of angle P
Now x + y = 90 and 2x + 6 = y
Substituting 2x + 6 from the second equation in for y in the first equation, we get x + 2x + 6 = 90 since the two angles are complementary.
3x + 6 = 90
3x = 84
x = 28
y = 2(28) + 6 = 56 + 6 = 62
Check: 28 + 62 = 90
Answer:
27
Step-by-step explanation:
9 is not a perfect cube.
18 is not a perfect cube.
27 is a perfect cube.
∛27 = 3
36 is not a perfect cube.
