Answer:
x = -6/7
Step-by-step explanation:
5 – 6x = 8x + 17
-5 - 5 Subtract 5 from both sides
-6x = 8x + 12
-8x - 8x Subtract 8x from both sides
-14x = 12 Divide both sides by -14
x = -12/14 Simplify
x = -6/7
Step-by-step explanation:
The slope of tangent line at a max or a minimum is 0,.
So using point slope formula.
Is the equation of a tangent line. This means we have a horizontal line at y= 4. Horizontal lines have a slope of 0.
Surface Area of the figure is 1208 square centimeters
a=20
b=13
c=12
d=5
e=8
Top face:
A1=a×e=20×8
ae=160
Bottom face:
A2(a+2d)×e=(20+2×5)×8=(20+10)×8=30×8
(a+2d)e=240
Front face:
Rectangle
a×c=20×12=240
Triangle:
12c×d=12×12×5=6×5=30
A3Rectangle +2 triangles
240+2×30=240+60=300
(a+d)c=300
Slant face:
A4=b×e=13×8=104
be=104
Total surface area
A=A1+A2+2(A3+A4)
A1=160
A2=240
A3=300
A4=104
Thus,
A=160+240+2(300+104)
A=400+2(404)
A=400+808=1208
Surface Area of the figure is 1208 square centimeters
Answer: The ladder is 5.3 m long
Step by step solution
1. Draw out the scenario, ie a right triangle where the hypotenuse is the ladder, the wall is 4.5m and the angle the ladder and the ground makes 58 degree.
2. Soh, Cah, Toa
The wall is opposite, the ground is adjacent, and the ladder is hypotenuse
Sine (58) = 4.5/h
3. Solve for hypotenuse
h * sine (58) = 4.5
h = 4.5/sine (58)
h = ~ 5.3 m
Hank bought same guppies as Marta but 2more platies so
18.33-13.95=4.38
2platies=4.38
4.38/2=2.19
2.19 price of platies
13.95-4.34=9.61
9.61/3=3.20
3.29 price of guppies
