Answer:
x ≥ -7
Step-by-step explanation:
Divide both sides by 6
Then to graph it, you can make a number line
Let h = height of triangle
h^2 + 12^2 = 15^2
h^2 + 144 = 225
h^2 = 225 - 144
h^2 = 81
sqrt{h^2} = sqrt{81}
h = 9 cm
For part B, we need to find surface area because it represents the perimeter of this 3-D figure. The formula needed is SA = B + LA.
1. First find the lateral area.
LA = perimeter of triangle • height
LA = ph
p = 15 + 15 + 24
p = 30 + 24
p = 54 cm
LA = (54)(9)
LA = 486 cm^2
2. We now find the base of each triangle. This is found by finding the area of each triangle and multiplying by 2.
A = (1/2)bh
A = (1/2)(24)(9)
A = 108 cm^2
A = 2•108 cm^2
A = 216 cm^2 = our B in the surface area formula.
SA = B + LA
SA = 216 cm^2 + 486 cm^2
SA = 702 cm^2
The amount of cardboard needed is 702 cm^2.
Answer:
c= 18.4
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj/ hyp
cos theta = a/c
cos 57 = 10/c
Multiply each side by c
c cos 57 =10
Divide each side by cos 57
c = 10/cos 57
c=18.36078459
Rounding to the nearest tenth
c= 18.4
Multiply your length value by 2.54. One inch is equal to roughly 2.54 centimeters,
Its 20.32 cm btw.
