Answer:
1080
Step-by-step explanation:
15% of 2700 is 405
405×4= 1620
2700-1620=1080
Answer:
Step-by-step explanation:
The volume of the pyramid = (1/3)*area of base *height
= (1/3)*10*24*13 = 1040 cubic units.
The total surface area = area of rectangular base + area of 2 isosceles triangles with a base of 24 units + area of 2 isosceles triangles with a base of 10 units.
Area of rectangular base = 24*10 = 240 sq units.
The slant height of isosceles triangles with a base of 24 units = [(10/2)^2+13^2]^0.5 = [25+169]^0.5 = 194^0.5 = 13.92838828 units.
The area of 2 isosceles triangles with a base of 24 units 2*24*13.92838828/2 = 334.2813187 sq units.
The slant height of isosceles triangles with a base of 10 units = [(24/2)^2+13^2]^0.5 = [144+169]^0.5 = 194^0.5 = 17.69180601 units.
The area of 2 isosceles triangles with a base of 10 units 2*10*17.69180601/2 = 176.9180601 sq units.
The total surface area of the pyramid = 240 + 334.2813187 + 176.9180601 = 591.9731247 sq units.
Answer:
see below
Step-by-step explanation:
1. 7x+2x+19x
(7, 2, 19) x
=28x
2. -6x-3+3x-9
-3x-3-9
=3x-12
3. (3x-4y) -(x+2y)
3x-4y-x-2y
=2x-6y
4. 18x5 - 6x3
90-18
=72
5. (x+5)(x-7)
x²-7x+5x-35
=x²-2x-35
6 times 8…………zzzzzzzzzzzzzzzzz
Answer:
Step-by-step explanation:
This is part of the Isosceles Triangle Theorem. If one theta is equal to the other theta (and they are or else they wouldn't both be theta; one would be theta and the other might be beta), that means that the sides across from those congruent angles are also congruent. That means that
6x + 6 = 9x - 9 and
15 = 3x so
x = 5
