Answer:
<h2>1529.4 m³</h2>
Step-by-step explanation:
Volume of a pyramid can be found by using the formula
a is the area of the base
h is the height
Since the base is a square we have
We have the final answer as
<h3>1529.4 m³</h3>
Hope this helps you
Answer:
Step-by-step explanation:
we have
we know that
The equation of a vertical parabola into vertex form is equal to
where
(h,k) is the vertex of the parabola
and the axis of symmetry is equal to 
In this problem we have the axis of symmetry 
so
the x-coordinate of the vertex is equal to 
therefore
For 
-----> one unit to the right of the vertex
Find the value of 
For 
-----> one unit to the left of the vertex
Find the value of 
Remember that
------> the x-coordinates are at the same distance from the axis of symmetry
so
------> solve for b
Answer: 0
Step-by-step explanation:
Add −66 and 66. 0
I'll focus on problem 19 and problem 22
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Problem 19
Answers:
-------------------------------
Explanation:
The horizontal lines are parallel. Note the arrow markers along the interior portion of the lines. These similar markers tell us how the lines pair up to be parallel to one another.
Since the horizontal lines are parallel, this means the angles in question are congruent. They are corresponding angles.
x+15 = 102
x = 102-15
x = 87
Which leads to
x+15 = 87+15 = 102
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Problem 22
Answer: y = 27
-------------------------------
Explanation:
We have a pair of alternate exterior angles. They are congruent due to the parallel lines.
Let's solve for y.
7y-55 = 3y+53
7y - 3y = 53+55
4y = 108
y = 108/4
y = 27
As it is shown in the figure, the length of the square's side s is also the length of the circle's diameter d:
s = d = 28 in.
• Computing the area of the square:
A₁ = s²
A₁ = 28²
A₁ = 28 × 28
A₁ = 784 in² ✔
• Computing the area of the circle:
A₂ = π × r²
A₂ = π × (d/2)²
A₂ = π × (28/2)²
A₂ = π × 14²
A₂ ≈ 3.14 × 14 × 14
A₂ ≈ 615.44 in² ✔
—————
• The area of the shaded portion is equal to the difference between the area of the square and the area of circle:
A = A₁ – A₂
A ≈ 784 – 615.44
A ≈ 168.56 in² <——— this is the answer (1st option).
I hope this helps. =)
