This result is actually true for any exterior angle. The exterior angle of a triangle is equal to the sum of the two remote angles, and above is a short proof of it.
Answer:
$187.61
Step-by-step explanation:
Data provided:
Temperature of the heat exchanger, Tc = 2° C = 273 + 2 = 275 K
Temperature of the base board radiators , Th=47° C = 273 + 47 = 320 K
Cost of heating the house = $1000
Coefficient of performance of the heat pump = 75% = 0.75
Now,
Actual performance = 75% of performance of heat pump
or
Actual performance = 0.75 × 
or
Actual performance = 0.75 × 
or
Actual performance = 0.75 × 
or
Actual performance = 5.33
Therefore, the cost = 
or
cost = $187.61
To get X and Y by itself, move everything else to the other side of the equal sign. Do this by doing the opposite operation.
Example: x-2y=11
add 2y to both sides to get x by itself
x=2y+11
Answer:
16.2 feet
Step-by-step explanation:
Reference angle = 62°
Opposite = x
Adjacent = 8.6
Apply trigonometric function, TOA:
Tan 62 = Opp/Adj
Tan 62 = x/8.6
8.6 × Tan 62 = x
16.1742476 = x
x = 16.2 ft (nearest tenth)
10.5 small boxes equals the same amount of cereal in a large box
<h3>
How to determine the value</h3>
From the information given, let:
n is the number of smaller boxes
We know that:
Then,
12 + 7.6n = 6 + 8n
collect like terms
8n - 7. 6n = 12 - 6
0. 4n = 6
n = 6/ 0. 4
n = 15
The amount of cereal in a large box is;
6 + 8n = 6 + 8 (15) = 126 ounces
The amount of cereal in the smaller box is 12 ounces
Divide the volume of the larger box by the volume of the smaller box;
= 126/ 12
= 10. 5 smaller boxes
Hence, 10.5 small boxes equals the same amount of cereal in a large box
The complete question:
A cereal box manufacturer changes the sizeof the box to increase the amount of cereal it contains. The equations 12 + 7.6n and 6 + 8n, where n is the number of smaller boxes, are both representative of the amount of cereal that the new larger box contains. How many smaller boxes equal the same amount of cereal in the larger box?
Learn more about word problem here:
brainly.com/question/13818690
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