Answer:
The length of QS = 8
Step-by-step explanation:
From the above question:
Δ Q R S ≅ Δ T U V
Q S = 3 v + 2 , and T V = 7 v − 6 , enter the lengths of QS
Hence:
Step 1
We solve for v
QS = TV
3v + 2 = 7v - 6
Collect like ters
2 + 6 = 7v - 3v
8 = 4v
v = 8/4
v = 2
Step 2
Solving for Q S
Q S = 3 v + 2
v = 2
QS = 3(2) + 2
QS = 6 + 2
QS = 8
The length of QS = 8
The plane you want is parallel to another plane, <em>x</em> - <em>y</em> + <em>z</em> = -5, so they share a normal vector. In this case, it's ⟨1, -1, 1⟩.
The plane must also pass through the point (0, 4, 4) since it contains <em>r</em><em>(t)</em>. Then the equation of the plane is
⟨<em>x</em>, <em>y</em> - 4, <em>z</em> - 4⟩ • ⟨1, -1, 1⟩ = 0
<em>x</em> - (<em>y</em> - 4) + (<em>z</em> - 4) = 0
<em>x</em> - <em>y</em> + <em>z</em> = 0
Answer:
The next score he needs to have an overall average of 79 is 89.
Step-by-step explanation:
Gary earned an average score of 77 on his 5 quizzes . The number of score he needs to have an average of 79 can be calculated below.
average score = 77
number of quizzes = 5
sum of Garry score = a
a/5 = 77
cross multiply
a = 77 × 5
a = 385
let
the next score he needs be b to score an average of 79
average = 79
number of quizzes = 6
385 + b/6 = 79
cross multiply
385 + b = 474
b = 474 - 385
b = 89
The next score he needs to have an overall average of 79 is 89.
Answer:
Total = 36%
Step-by-step explanation:
Given
Company A = 0.15
Company B = 21%
Required
Determine the total revenue
Total is calculated as thus:
Total = Company A + Company B
Total = 0.15 + 21%
Represent 0.15 as %
Total = 0.15*100% + 21%
Total = 15% + 21%
Total = 36%
