Answer:
17.7 cm^2
Step-by-step explanation:
Use trig to find the height of the triangle. Then the area is bh/2.
Extend side BC to the right until it is vertically below point A. Draw a segment from point A vertically down until it intersects the extension of side BC. Call the point of intersection D. <D is a right angle.
Use triangle ABD to find the height, AD, of triangle ABC.
For <B of 37 deg, AD is the opposite leg. AB is the hypotenuse. The trig ratio that relates the opposite lefg to the hypotenuse is the sine.
sin B = opp/hyp
sin 37 deg = AD/13.1
AD = 13.1 * sin 37 deg
AD = 7.9
AD is the height of triangle ABC. BC is the base. We can find the area of triangle ABC.
area = bh/2
area = (4.5 cm)(7.9 cm)/2
area = 17.7 cm^2
2(-3n-5)-5(4n-8)
(-6n-10)+(-20n+40)
-26n-30
The slope is 2
y=2x + b
Plug in a point to solve for b
8 = 2(3) + b
8 = 6 + b
b = 2
The equation is y = 2x + 2
Answer:
1. All of the above.
2. Kilowatt hours.
Step-by-step explanation:
A power bill can be defined as a utility bill issued by a power utility company (provider) to illustrate the amount of energy (electricity) consumed by a customer.
Power bills usually show the following informations;
1. The total amount due: this represents an amount of money being owed by a consumer to a power utility company. The current amount due in addition to any outstanding balance is reflected in this tab.
2. The Kilowatt hours of electricity used: this represents the amount of electricity that was used by the consumer in the previous month.
3. The payment due date: this represents the least expected date for payment to be made by the consumer. If payment isn't made on or before the due date, the consumer will be disconnected.
<em>Generally, when calculating the power bill, power companies use kilowatt hours. The Kilowatt hours (KWh) represents the amount of energy (electricity) that is being used by a customer on a hourly rate. </em>
Answer:
1999
Step-by-step explanation:
y = 0.2313(y - 1992)^2 + 2.600(y - 1992) + 35.17
verify with known data point
y = 0.2313(2004 - 1992)^2 + 2.600(2004 - 1992) + 35.17
y = 0.2313(12)^2 + 2.600(12) + 35.17
y = 27.9873 + 28.6 + 35.17
y = 99.6772 which verifies our equation
65 = 0.2313x² + 2.6x + 35.17
0 = 0.2313x² + 2.6x - 29.83
quadratic formula
x = (-2.6 ±√(2.6² - 4(0.2313)(-29.83))) / (2(0.2313))
x = (-2.6 + 5.86) / 0.4626 = 7.05 years
7.05 = y - 1992
y = 1999.05
