Step One
Find the area of the base
A = s * s
s = 755.5 feet
Area = 755.5^2
Area = 570780.25 square feet.
Step two
Multiply the volume by 3
V = 1/3 B * h
3*V = B * h
V = 85600000
85600000 * 3 = B * h
256800000 = B * h
Step Three
Divide by B
B = 570780.25
256800000 = 570780.25 * h
256800000 / 570780.25 = h
449.91 feet = h
Answer: 76 ft2
Step-by-step explanation:
Perimeter = 2 side length +base length
40 = 2s +12
Solving for s:
40-12 =2s
28 =2s
28/2=s
14ft =side
Since the line which bisects and isosceles triangles is at a right angle to the base we can use the Pythagorean Theorem to find the height (see attachment)
c^2 = a^2 + b^2
Where c is the hypotenuse of the triangle (in this case 14) and a and b are the other sides. (Base divided by 2 is one side, the other side is the height)
Replacing with the values given:
14^2= 6^2 + x^2
196 = 36 + x^2
196-36 = x^2
160 = x^2
√160 = x
x = 12.64 (height)
Area of an isosceles triangle = 1/2 x base x height
A = 1/2 x 12 x 12.64 = 76 ft2
Answer:
34/15
Step-by-step explanation:
I recognized the form of this decimal as a number divided by 3. However, when I multiplied it by 3, I got 6.8. This means that the fraction was not fully simplified. Multiplying by 5, I got 34. Since I had to multiply by 3 and then by 5 to get there, I multiplied by a total of 15. Hope this helps!
Answer:
Step-by-step explanation:
3 and 7 - corresponding
2 and 7 - alt exterior
4 and 5 - alt interior
3 and 6 - alt interior
Answer:
m=-5
Step-by-step explanation: