Answer:
Angle θ would be about 17.1 degrees.
Step-by-step explanation:
To figure out what Angle θ is, first we have to find the hypotenuse. You can easily do that by find the square root of BC² + AC².
c = √4² + 13²
Square 4 and 13 to get 16 and 169 respectively.
c = √16 + 169
Add 16 and 169 to get 185.
c = √185
Find the square root of 185 (I'll round to the nearest tenth.)
c = 13.60147 ≈ 13.6 units
To find angle β, divide AC by AB and find the inverse sine of that.
β = arcsin(13/13.6)
Divide 13 by 13.6. Round to the nearest thousandth.
β = arcsin(0.955)
β ≈ 1.2723 rad
To convert radians to degrees, multiply the radians by 57.2957795 for an approximate amount.
β ≈ (1.2723 * 57.2957795)°
β ≈ 72.8974203 ≈ 72.9 degrees
Now subtract 72.9 from 90 to get angle θ's measure of 17.1 degrees.
Answer:
Point Slope: y - 5 = 3 (x-2)
Slope Intercept : y=3x-1
Step-by-step explanation:
1.) y - 5= 3(x-2)
2.) y - 5 = 3x-6
3.) y=3x-1
Answer:
a Dryer @ 4,000 watts. Cost = 172 cents
a Heater @ 1,500 watts. Cost = 64.5 cents
a Radio @ 40 watts. Cost = 1.72 cents.
Step-by-step explanation:
Given that cost of 1 kilowatt hour = 4.3 cents.
Then cost of 1 kilowatt for 10 hours = 4.3*10 = 43 cents.
4000 watts = 4000/1000 kilowatt = 4 kilowatts
Then cost for running a Dryer for 10 hours = 4*43 = 172 cents.
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1500 watts = 1500/1000 kilowatt = 1.5 kilowatts
Then cost for running a Heater for 10 hours = 1.5*43 = 64.5 cents.
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40 watts = 40/1000 kilowatt = 0.04 kilowatts
Then cost for running a Radio for 10 hours = 0.04*43 = 1.72 cents.
The figures in a plane can be reflected, rotated, translated or dilated to produce new figures or images.
A transformation that moves all points to the same distance and in the same direction. The final figure looks the same, just moved over. It does not flip or gets rotated. It also does not change size.This type of translation is called glide reflection. Its the summation of translation and reflection.
The y intercept would be -4 bc that that’s the only number that the line is hitting on the y line . y line goes up and down .
