Answer:
Step-by-step explanation:
VZ = 44-27.5 = 16.5
ZY/VY = ⅝
WX = ⅝ of VX
VX = 36×8/5 = 57.6
VW = VX - WX = 21.6 units
The perimeter of the triangle, rounded to the nearest tenth, is 8.5 units.
Answer:
Shortest side = 39 cm.
Median side = 65 cm.
Longest side = 91 cm.
Step-by-step explanation:
The perimeter in total is 195 cm. The ratio of the sides are 3 : 5 : 7.
First, find how much parts there are as a whole, by combining the ratios:
3 + 5 + 7 = 15 parts.
Divide the total of parts from the total measurement:
195/15 = 13
Each part has the measurement of 13 cm.
1 part = 13 cm.
Use the following ratio to solve for each of the sides:
Shortest side: 3
3 x 13 = 39
Shortest side = 39 cm.
Median side: 5
5 x 13 = 65
Median side = 65 cm.
Longest side: 7
7 x 13 = 91
Longest side = 91 cm.
Check. Combine all side measurements together. They should equal 195:
39 + 65 + 91 = 195
(39 + 65) + 91 = 195
(104) + 91 = 195
195 = 195 (True).
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It's the one on the bottom left that says 5ft and 3ft, they're the same shape and ratio just turned around. It's also the square that says 6ft and 10ft because its only two times bigger than the original and has similar proportions.
Answer:
domain of f(x) is x ≤ 0; domain of f^-1(x) is x ≥ 4
Step-by-step explanation:
The square root function will always give a positive value, so the opposite of the square root function will give non-≤positive values. That means ...
- the domain of f(x) is restricted to non-positive values
- the domain of the inverse function is restricted to values of x that make the root be of a non-negative number: x ≥ 4
The domain of f(x) is x ≤ 0; the domain of f^-1(x) is x ≥ 4.
