Answer: 153
Step-by-step explanation:
area of rectangle= 16 x 3= 48
area of trapezium= 1/2(a+b)h
=1/2(16+5)x 10
=105
105+48= <u>153 in^2</u>
Before dilation:
the height of the triangle is h₁ = 7 - (-1) = 8
the width of the triangle is w₁ = 7 - (-5) = 12
After dilation:
the height of the is h₂ = 9-7 = 2
the width of the triangle is w₂ = -5 - (-8) = 3
The scale factor is h₂/h₁ = 2/8 = 1/4 = 0.25
Also, the scale factor is w₂/w₁ = 3/12 = 1/4 = 0.25
Answer: The scale factor is 0.25
I would compute sqrt(1 + 160pi^2) first to get approximately 39.75093337
Add this to 1 and we have 40.75093337
Then divide over 2pi to get a final approximate result of 6.48571248
So x = 6.48571248 is one approximate solution
In short, I computed only focusing on the plus for now.
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If you were to compute you should get roughly -6.167402596 as your other solution. Each solution can then be plugged into the original equation to check if you get 0 or not. You likely won't land exactly on 0 but you'll get close enough.
Answer
I) A job pays $15/hr with no bonus first day pay.
II) A job pays $15/hr with a $20 bonus first day pay.
Step-by-step explanation:
The y-intercepts would represent additional income that is added on to the base wage. It means it is what the worker would already earn (one-time), adding on to their standard pay.
Let X represent hours, and the y-intercept be what is mentioned above.
I) 15x + 0
II) 15x + 20
Alright so
5^4m = 5^12
cancel the bases
4m=12
divide by 4
m=3