Answer:a) a=22, b=11
b) m=7
, n= 
Step-by-step explanation:
You should use trigonometry ratios as required and then you should use pythagoras theorem
In a) cosine(30°)= base/hypotenuse,
where 11√3 is the base
"a" is hypotenuse and
"b" is perpendicular
from this you can find the value of perpendicular then you should use pythagoras theorem to find the value of hypotenuse
pythagoras theorem is
base²+perpendicular²= hypotenuse²
Same is applied on (b) right triangle as, sine(45°)=perpendicular/hypotenuse
C.
24 means that you earned 6 dollars an hour for 4 hours. 2.5n means that for every person, n, you receive an additional $2.50.
Answer:
{-5, -4, 0, 1, 2}
Step-by-step explanation:
The domain is the inputs or the x values
{-5, -4, 0, 1, 2}
The heat released or absorbed by a substance is calculated through the equation,
H = mcpdT
where H is teh heat,
m is the mass,
Cp is the specific heat, and
dT is the temperature difference
In this item, since both nails are identical, m and cp for both nails are equal such that the equation can be expressed as,
mcp(95 - x) = mcp(x - 15)
where x is the final temperature. Solving for the value of x from the equation derived above will give us a final answer of 55 degrees C.
Answer: 55°
Add <span>6</span> to both sides
<span>2x-6+6=4+6</span>
Simplify <span>4<span>+6</span></span> to <span>10</span>
<span>2x=10</span>
Divide both sides by <span>2</span>
<span>2x/2=10/2</span>
Simplify 10/2
<span><span>x=<span>5</span></span><span>
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