Answer:
Step-by-step explanation:
we know that
An isosceles triangle has two equal sides and two equal angles
The two equal angles are called the base angles and the third angle is called the vertex angle
In this problem the triangle ABC is an isosceles triangle
so
The sum of the internal angles of a triangle is equal to 
so
Find the value of y
The total fabric Morgan needs to cover the cushions will be 19.64 square feet.
It is given that each cushion has a circumference of 7.85 feet.
It is known that the circumference of a circle = 2πr, where 'r' is the radius of the circle.
2πr = 7.85
r = 1.25
<h3>What is an area of a circle?</h3>
area of a circle is πr².
now, we can calculate the area = π× 1.25² = 4.91 square feet
since each circular cushion has two circular faces so the total number of faces Morgan needs to cover will be 4.
Therefore, the total fabric needed= 4×4.91 = 19.64 square feet.
to get more about the area of a circle, refer to the link:
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The simplified version of this expression is 110g^4h^16v^6. first, remove the parenthesis. the expression becomes 10g^3h^8v^6 times 11gh^8. then, calculate the product.
Answer:
Step-by-step explanation:
y = (-1/m)x + c
the slope here is -1/m
a perpendicular line will have a negative reciprocal slope...all that means is flip the slope and change the sign.
-1/m....flip the slope....-m/1......change the sign....m/1 which is the same as m
I cant tell u the equation of the line perpendicular, but I can tell u that is has a slope of m.
Applying the tangent ratio, the length of side x, in simplest radical form is: 8√3.
<h3>How to Apply the Tangent Ratio?</h3>
The tangent ratio is: tan ∅ = opposite side length / adjacent side length of the right triangle.
Given the following:
Reference angle (∅) = 30 degrees.
Opposite side length = 8
Adjacent side length = x = ?
Using the tangent ratio, we have: tan 30 = 8/x
x(tan 30) = 8
Divide both sides by tan 30
x(tan 30)/tan 30 = 8/tan 30
x = 8/tan 30
x = 8/1/√3
x = 8 × √3
x = 8√3
Therefore, applying the tangent ratio, the length of side x, in simplest radical form is: 8√3.
Learn more about the tangent ratio on:
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