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:
25 questions
Step-by-step explanation:
84%*x = 21
-simplify-
0.84 *x = 21
Divide both sides by 0.84 than...
you get x = 25
I split it into parts. The small rectangle sticking out is 2x3 which is a 6 and the big rectangle 4x8 which is 32. The triangle is 8x2/2 which is 8. 6+32+8 = 46
A'(1,-2)
B'(1,-3)
C'(-1,-3)
D'(-1,-2)
Answer:
63 students.
Step-by-step explanation:
x students.
34 have science 28 have math 5 math and science 6 neither.
6 neither means there were at least 6 students so our number goes up to 6 students.
34 have science 28 have math 5 have both.
34-5 and 28-5
29 and 23
29+23 is 52 +5 is 57 +6 is 63.
63 students.
HOpe this helps!
Merry Christmas!
