Answer:
6
Step-by-step explanation:
Express the equation in slope- intercept form
y = mx + b ( where m is the slope and b the y- intercept )
Here m = - 0.5, thus
y = - 0.5x + b
To find b substitute (10, 1) into the equation
1 = - 5 + b ⇒ b = 1 + 5 = 6 ← y- intercept
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.
You cannot factor it, so there is no simplification. The Constants "4" and "9" do not share a common factor, therefore, you cannot simplify it. However, if it was a number such as "8" replacing "9", then you can simplify by doing:
4(x^2 - 2) = 4x^2-9
The answer is 116 because yo would times 7 by 16 then add 4
Answer:
Perimeter of the smaller square = 9 ft
Perimeter of the larger square = 18 ft
Step-by-step explanation:
Let
Perimeter of the smaller square = x
The perimeter of the larger square is twice the perimeter of the smaller square.
Perimeter of the larger square = 2x
Total Length of the piece of wire = 27 ft
Total = smaller + larger
27 = x + 2x
27 = 3x
x = 27/3
x = 9 ft
Perimeter of the smaller square = x
= 9 ft
Perimeter of the larger square = 2x
= 2(9)
= 18 ft
