Answer:
95 square units
Step-by-step explanation:
Surface area of pyramid = 4(side area) + base
Solve for the base first.
Area of base = s*s = 5*5 = 25
Next solve for one of the sides.
Area of triangle = 1/2 b*h = 1/2 5*7 = 17.5
Plug these back into our original equation.
Surface area of pyramid = 4(side area) + base
Surface area of pyramid = 4(17.5) + 25
Surface area of pyramid = 70 + 25 = 95 square units
The circumference of every circle is (pi) times (diameter).
The diameter is (2 x radius), so we can write
Circumference = (pi) x (2 x radius) .
The question gives us the circumference, and the number to use for (pi).
I shall now pluggum in:
(31.4 cm) = (3.14) x (2 x radius)
Divide each side by 3.14: (31.4 cm)/(3.14) = 2 x radius
Divide each side by 2 : (31.4 cm) / (2 x 3.14) = radius
5 cm = radius
Answer:
d. x = -3
Step-by-step explanation:
<u />÷ (x+8)(x-2) = 0
f(x) / g(x) = 0
Variable x cannot be equal to any of the values −8,2 since division by zero is not defined. Multiply both sides of the equation by (x−2)(x+8).
<u /> = 0 ------ square both sides
x + 3 = 0
solve for x:
x = -3
Answer:
Step-by-step explanation:
Given that L is a line parametrized by
The plane perpendicular to the line will have normal as this line and hence direction ratios of normal would be coefficient of t in x,y,z
i.e. (2,3,-1)
So equation of the plane would be of the form
Use the fact that the plane passes through (2,0,-1) and hence this point will satisfy this equation.
So equation is
b) Substitute general point of L in the plane to find the intersecting point
i.e. same point given.
Answer: (A) The product of two numbers with the same sign is positive.
Since the numbers in each pair have the same sign, the product will be positive.