Answer:
Step-by-step explanation:
Given equation is 
. We require x in terms of c.
Dividing both sides with 3 we get
Add 7 on both sides we get
Dividing both sides with c we get
Triangle PDQ has:
Side "p" is opposite Angle P
Side "d" is opposite Angle D = 45º + 23º = 68º
Side "q" is opposite Angle Q
Use the Law of Cosines:
d² = p² + q² − 2 • p • q • cos(D)
d² = (4.24)² + (4.24)² − 2 • (4.24) • (4.24) • cos(68º)
d² = 2(4.24)² − 2(4.24)² • cos(68º)
d² = 2(4.24)² • [ 1 – cos(68º) ]
<span> d = 4.74 ft
</span>Hope this helps
QA.
<span>Assuming the dimensions have to be in exact feet then you could have </span>
<span>9ft *9ft = 81square feet </span>
<span>10 ft * 10 ft = 100 square feet </span>
<span>11 ft * 11 ft = 121 square feet. </span>
<span>QB. </span>
<span>If each tile is 1 ft * 1 ft ie 1 square foot </span>
<span>Then </span>
<span>9' * 9' would mean 125 - 81 = 44 tiles would not be used </span>
<span>10' * 10' = 125 - 100 = 25 tiles not used </span>
<span>11' * 11' = 125 - 121 = 4 tiles not used </span>
You want to find the volume inside the hemisphere 
(i.e. inside the sphere but above the plane 
) and outside the cylinder 
. Call this region 
.
In cylindrical coordinates, we have
(where 
)
The value of x is 8 when y = 12 if variables x and y have proportional relationship.
According to the given question.
Variables y and x have proportional relationship.
⇒ y ∝ x
Let k be the constant of proportionality.
⇒ y = kx
Also, it is given that
y = 21 when x = 14
Substitute the value of y = 21 and x = 14 in y = kx to find the value of k.
21 = k(14)
⇒ k = 21/14
⇒ k = 3/2
Therefore, the value of x when y = 12
y = kx
⇒ 12 = (3/2)x
⇒ 12 × 2 = 3x
⇒ 24 = 3x
⇒ x = 24/3
⇒ x = 8
Hence, the value of x is 8 when y = 12.
Find out more information about proportional relationship here:
brainly.com/question/12917806
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