Answer:
110
Step-by-step explanation:
Subtract the greater value (115) by the smaller value (105) and this gives you the answer 10. So the distance between the two values is 10. Divide this by 2 to find the midpoint, and you get 5. You can either add 5 to the smaller value, or subtract 5 from the bigger value, either way you would get the answer of 110.
Answer: The voltage across an identical resistor = 60 Volts
Step-by-step explanation:
Step 1
Given that voltage across the resistor is directly proportional to the current running through the resitor.
Mathematically, it would be represented as
Voltage ∝ Current
Introducing the constant of proportionality, k which represents the Resistor as it is constant.
we have that
Voltage = K x Current
When current = 12 amps and voltage = 480v, the constant of proportionality K
480 = k x 12
k = 480/12
k= 40
Step 2 ,
when current = 1.5 amps
Voltage = ?
Using our equation that
Voltage = K x Current
Voltage = 40 x 1.5
Voltage = 60 Volts
The third angle is obtuse.
Since the shape has 3 sides, then the total measure of degrees is (n-2)180 = (3-2)180 = 180°.
So our equation would be
180° = 35° + 30° + x°
x = 115°
115 is greater than 90, so the angle is obtuse.
Step-by-step explanation:
Let the painting's width be w inches and length be l inches.
w + 6 = 2l
w = 2l - 6 --(1)
2w + 2l = 84 --(2)
sub (1) into (2):
2(2l - 6) + 2l = 84
2l - 6 + l = 42
3l = 48
l = 16
when l = 16, w = 2(16) - 6 = 26
area of painting = lw = 16 x 26 = 416square inches
Therefore, only statements 1, 3 and 5 are true
Topic: Algebraic equations + Simultaneous linear equations
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