Answer:
75
Step-by-step explanation:
By the Base Angle Theorem, if two sides of a triangle are equivalent (it is an isosceles triangle), then the two angles opposite to those sides are equal as well.
A triangle adds up to 180 degrees.
180-30
=150
150/2
=75
Answer: Formula used for pyramid is (V= 1/3 Bh SA: 1/2 P*l+B) Final answer is SA=110.4 V=64
Step-by-step explanation:
P= Perimeter
l= length
B= Base
To find the perimeter you add all the sides of the base. (4+4+4+4)=16
To find the length you can use Pythagorean Theorem which is a(squared) + b(squared) = c(squared) where c is the hypotenuse. + =
4+144=
164=
=x
x=12.8
To find the base it will be l*w (4*4)=16
Then you plug it in the formula for SA which will be
SA=1/2 16*12.8+16
SA=110.4
For Volume, it will be
V=1/3 Bh
V= 1/3 16(12)
V= 64
Answer:
(B) 1
Step-by-step explanation:
g(x) = ∫₂ˣ f(t) dt
Use second fundamental theorem of calculus to find g'(x).
g'(x) = f(x) d(x)/dx − f(2) d(2)/dx
g'(x) = f(x)
g(x) is a maximum when g'(x) = 0.
0 = f(x)
x = 3
So the maximum value of g(x) is:
g(3) = ∫₂³ f(t) dt
g(3) = ½ (2) (1)
g(3) = 1
Answer:
1110
Step-by-step explanation:
Let x = price of the ticket before tax
We know the ticket plus the tax = 1232.10
x + x*11% = 1232.10
x+.11x = 1232.10
1.11x = 1232.10
Divide each side by 1.11
1.11x/1.11 = 1232.10/1.11
x=1110