The volume of the pyramid is 
Explanation:
The height of the square pyramid is 18 cm
The base of the square pyramid is 11 cm
The volume of the square pyramid can be determined using the formula,
Substituting 
and 
in the formula, we have,
Simplifying, we have,
Multiplying, we get,
Dividing, we get,
Thus, the volume of the pyramid is
The hypotenuse is equal to the square of the other two sides. The length of AC from the diagram is 21.9feet
<h3>Application of pythagoras theorem</h3>
The theorem states that the square of the hypotenuse is equal to the square of the other two sides
Given the following
Hypotenuse = 26 feet = CD
Base side = AD = 14ft
Required
Length AC
Use the theorem
26^2 = 14^2 + AC^2
AC^2 = 676 - 196
AC^2 = 480
AC = 21.9feet
Hence the length of AC from the diagram is 21.9feet
Learn more on pythagoras theorem here: brainly.com/question/343682
See diagram
I wrote that the degrees are 70 each because it is isocolese and 140/2=70
a.
to solve for the diagonal, I'm going to use trig to find the height and the base then use pythagorean theorem to find the diagonal
so
see I've drawn an auxiliry line to make a right triangle on the leftmost side
so
we want to find the height and base
sin(70°)=h/7
so 7sin(70°)=h≈6.57785
cos(70°)=base/7
so 7cos(70°)=base≈2.39414
now
the entire long base is 22, so that big triangle with the diagonal as the hyptonuse is 22-2.39414=19.6059
use pythagorean theorem, like 6.57785²+19.6059²=diagonal²
we get that the diagonal is about 20.68ft
b.
we got that the base was 7cos(70°)
2 of those bases so 22-14cos(70°)=17.2117ft or rounded 17.21ft
a. 20.68ft
b. 17.21ft
Answer:
f(0)=0
Step-by-step explanation:
The number in the parenthesis in a function are what you substitute for x, so do that for the problem:
f(x)=(1/2)(x) --> f(0)=(1/2)(0)
Then solve for f(0) by simplifying the other side of the equation:
f(0)=0
PART A:
Finding the slope of the function f(x)
Choose any two pairs of coordinate from the table; (-1, -15) and (0, -10)
Let (-1, -15) be (x₁, y₁) and (0, -10) be (x₂, y₂)
Slope =
Slope of f(x) = 5
The function g(x) is given in the straight line equation form
Where, is the slope and is the y-intercept
Slope of g(x) = 2
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g(x) = 2x + 8
Where, the slope (m) = 2 and the y-intercept (c) = 8
The y-intercept of g(x) is 8
for f(x), we can read the y-intercept when x = 0.
From the table, when x = 0, y = -10
The y-intercept of f(x) is -10
Function g(x) has higher y-intercept
