<h3>
Answer: C) x = 13</h3>
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Work Shown:
We have a right triangle with legs a = 5 and b = 12. The hypotenuse is c = x which is unknown for now.
Use the pythagorean theorem to find x.
a^2 + b^2 = c^2
5^2 + 12^2 = x^2
25 + 144 = x^2
169 = x^2
x^2 = 169
x = sqrt(169) .... apply the square root to both sides
x = 13
Answer:
A=202
Step-by-step explanation:
A=2(wl+hl+hw)
2·(13·5+2·5+2·13)=202
Answer:
The equation for a is 
The altitute is 101,428.57 feet
Step-by-step explanation:
You know that the relationship between ground temperature and atmospheric temperature can be described by the formula
t = -0.0035a +g
where:
- t is the atmospheric temperature in degrees Fahrenheit
- a is the altitude, in feet, at which the atmospheric temperature is measured
- g is the ground temperature in degrees Fahrenheit.
Solving the equation for a:
-0.0035a +g=t
-0.0035a= t - g


<u><em>The equation for a is </em></u>
<u><em></em></u>
If the atmospheric temperature is -305 °F and the ground temperature is 50 °F, then t= -305 °F and g= 50 °F
Replacing in the equation for a you get:


a= 101,428.57
<u><em>The altitute is 101,428.57 feet</em></u>
Answer:
16 apples.
Step-by-step explanation:


Price of apples, Px=$4
Price of tomatoes, Py=$3
Ratio of their Marginal Utilities



Since Natalie’s income is $320
320 = xPx+yPy

Since x=16, Natalie will consume 16 apples.