Answer:
0.7
Step-by-step explanation:
I divided 4 by 6
0.6666666666666...
Simplify to 0.7
Answer:
26,508
Step-by-step explanation:
To find out how to solve this is that we first need to know that Triangular prisms have their own formula for finding surface area because they have two triangular faces opposite each other. The formula A=12bh is used to find the area of the top and bases triangular faces, where A = area, b = base, and h = height.
Also: To find the total surface area of a prism, you need to calculate the area of two polygonal bases, the top face and bottom face. And then calculate the area of lateral faces connecting the bases. Add up the area of the two bases and the area of the lateral faces to get the total surface area of a prism.
The top= 12 x 24 x 35 = 10,080
The lateral faces: 12 x 37 x 37 = 16,428
Surface Area= 10,080 + 16,428 = 26,508
D, there is no division property of equality
Answer:
y = 6·sin(3·(x - 1)) + c
Step-by-step explanation:
The general form of an equation for a sinusoidal function is presented ad follows;
y = a·sin(b·(x - h) + c
Where;
a = The amplitude of the equation
T = The period = 2·π/b
h = The phase shift
c = The vertical shift
From the question, we have;
a = 6,
2·π/3 = 2·π/b
∴ b = 3
h = 1
We get;
y = 6·sin(3·(x - 1)) + c.
We know that
The sum of the lengths of any two sides of a triangle is greater than the length of the third side (Triangle Inequality Theorem)
Let
A------> Lincoln, NE
B------> Boulder, CO
C------> third city
we know that
in the triangle ABC
AB=500 miles
BC=200 miles
AC=x
Applying the Triangle Inequality Theorem
1) 500+200 > x------> 700 > x------> x < 700 miles
2) 200+x > 500----> x > 500-200------> x > 300 miles
the solution for x is
300 < x < 700
the interval is------> (300,700)
the possible distances, d, in miles, between Lincoln, NE, and the third city, are in the range between 300 and 700 miles
