<span>x^2-2x-3=0
(x-3)(x+1)=0 [factor]
x-3=0 [set each factor equal to zero and solve for the x-value]
x=3
and
x+1=0
x=-1
So, the solutions are x = 3 and x = -1</span>
Answer: a) BC = 1386.8 ft
b) CD = 565.8 ft
Step-by-step explanation:
Looking at the triangle,
AD = BD + 7600
BD = AD - 7600
Considering triangle BCD, we would apply the the tangent trigonometric ratio.
Tan θ = opposite side/adjacent side. Therefore,
Tan 24 = CD/BD = CD/(AD - 700)
0.445 = CD/(AD - 700)
CD = 0.445(AD - 700)
CD = 0.445AD - 311.5 - - - - - - - -1
Considering triangle ADC,
Tan 16 = CD/AD
CD = ADtan16 = 0.287AD
Substituting CD = 0.287AD into equation 1, it becomes
CD = 0.445AD - 311.5
0.287AD = 0.445AD - 311.5
0.445AD - 0.287AD = 311.5
0.158AD = 311.5
AD = 311.5/0.158
AD = 1971.52
CD = 0.287AD = 0.287 × 1971.52
CD = 565.8 ft
To determine BC, we would apply the Sine trigonometric ratio which is expressed as
Sin θ = opposite side/hypotenuse
Sin 24 = CD/BC
BC = CD/Sin24 = 565.8/0.408
BC = 1386.8 ft
Answer:
It would be (c)How many days would it take for the electrical cost for running the heater to reach $200?
Step-by-step explanation:
I did the test bro I hope you get a good grade
Answer:
The percentage of the total annual expenses for product payment costs is <u>11.49%</u> .
Step-by-step explanation:
Given:
Annually costs on product company spends = $34000 and total annual expenses = $296000.
Now, to get the percentage of the total annual expenses for product payment costs. We will calculate the percentage, $34000 by $296000:
According to question:
Now, rounding to the nearest hundredth of a percent to 11.486 will be 11.49. As we see 6 in the thousandth place and 8 in hundredth place so rounding to decimal in hundredth place will change 8 into 9.
Therefore, the percentage of the total annual expenses for product payment costs is 11.49% .