Answer:
what is the square root of 180x^9 y^16 in simplest form
Step-by-step explanation:
Answer:
1.5
1.5
Step-by-step explanation:
The steps are in the image above
Answer: 13 feet
Step-by-step explanation: You are given that the perimeter, P, of the rectangle is 42 meters (i.e., P = 42). Also, the length, L, of the rectangle is 3 meters less than 2 times the width, W (i.e., L = 2W - 3).
Recall that the perimeter, P, of a rectangle is given by the following formula:
P = 2W + 2L
Substituting 2W - 3 for L, we arrive at the following:
P = 2W + 2(2W - 3)
P = 2W + 2·2W + 2·-3
P = 2W + 4W - 6
P = 6W - 6
Since we were given that P = 42, then
42 = 6W - 6
42 + 6 = 6W - 6 + 6
48 = 6W
48/6 = 6W/6
8 = W
Therefore, the width of the rectangle is 8 meters. Use this value to solve for the length:
L = 2W - 3
L = 2·8 - 3
L = 16 - 3
L = 13
Given:
In ΔHIJ, h = 40 cm, ∠J=20° and ∠H=93°.
To find:
The length of j, to the nearest centimeter.
Solution:
According to Law of sine,
In ΔHIJ, using law of sine, we get
On further simplification, we get
Approximate the value to the nearest centimeter.
Therefore, the length of j is 14 cm.
