Answer:
A ≈ 40.3 cm²
Step-by-step explanation:
The area of right Δ ACD is calculated as
A = bh ( b is the base and h the perpendicular height )
Here A = 50.5, b = CD and h = AC , then
× 14 × AC = 50.5
7 AC = 50.5 ( divide both sides by 7 )
AC ≈ 7.214
The area of Δ ABC is calculated as
A = × BC × AC × sin36°
= 0.5 × 19 × 7.214 × sin36°
≈ 40.3 cm² ( to 3 sf )
Answer:
The values are:
Step-by-step explanation:
Given:
To Determine:
a = ?
b = ?
c = ?
Determining the values of a, b, and c
Using the mid-point formula
Using the mid-point formula
given
(x₁, y₁, z₁) = (1, 2, b) = P
(x₂, y₂, z₂) = (c, -7, 4) = Q
m = (x, y, z) = (-3, a, -1) = R
substituting the value of (x₁, y₁, z₁) = (1, 2, b) = P, (x₂, y₂, z₂) = (c, -7, 4) = Q, and m = (x, y, z) = (-3, a, -1) = R in the mid-point formula
as (x, y, z) = (-3, a, -1), so
<u>Determining 'c'</u>
-3 = (1+c) / (2)
-3 × 2 = 1+c
<u>Determining 'a'</u>
a = (2+(-7)) / 2
<u>Determining 'b'</u>
-1 = (b+4) / 2
Therefore, the values are:
Step-by-step explanation:
While subtracting , the sign of each term of second expression changes & remove the parentheses.
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Combine like terms. Like terms are those which have the same base. Only coefficients of like terms can be added or subtracted.
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In standard from , the expression should be written in such a way that the power of variables goes from highest to lowest.
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