If U = 5 feet, V = 7 feet, W = 3 feet, X = 7 feet, Y = 13 feet, and Z = 4 feet, what is the area of the object?
1 answer:
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Answer:
- Question 1: 0.081 min⁻¹
- Question 2: 168ºF
Explanation:
The missing equation is:
You are given:
- Ta = the temperature surrounding the object = 73ºF
- T₀ = the initial temperature of the object = 204ºF
- t = 2.5 min
- T after 2.5 min = 180ºF
Question 1: Find the the value of k.
Substitute the data into the equation and solve for k:
Question 2: Find the Fahrenheit temperature of the cup of water, to the nearest degree, after 4 minutes.
Subsititute into the formula and compute:
Given:
ΔABC ΔDEF
To find:
The length of median CP
Solution:
In ΔABC,
AP = 12, BP = 12 and PC = 3x - 12
In ΔDEF,
DQ = 16, QE = 16 and FQ = 2x + 8
If two triangles are similar, then their median is proportional to the corresponding sides.
Do cross multiplication.
Add 192 on both sides.
Subtract 24x from both sides.
Divide by 24 on both sides.
⇒ 12 = x
Substitute x = 12 in CP.
CP = 3(12) - 12
= 36 - 12
= 24
The length of median CP is 24.