Answer:
$11,714
Step-by-step explanation:
C(x) = 0.7x² - 462x + 87,944
this is a quadratic equation that opens up
the vertex will be the minimum
From the quadratic formula the x coordinate of the vertex is
x = -b/2a
x = 462/(2 * 0.7)
x = 330
Plug in
c(330) = 0.7(330²) - 462(330) + 87,944
c(330) = 11,714
$11,714
Answer:
Step-by-step explanation:
Remark
2 angles are complementary means that 2 angles add up to 90°. That is the guiding princeple behind the problem.
Givens
Let the smallest angle = x
Let the largest angle = 4x + 30
Equation
4x + 30° + x = 90° Combine like terms on the left
Solution
5x + 30 = 90 Subtract 30 from both sides.
5x + 30 - 30 = 90 - 30 Combine
5x = 60 Divide both sides by 5
5x/5 = 60/5
x = 12
Answer
- smallest angle = 12
- Larger angle = 4*12 + 30 = 78
Answer:
12 inches
Step-by-step explanation:
180 divided by 3 = 6
so the tower is now divided into 6 pieces
each piece is 30 feet
every 30 feet is represented by 2 inches
2 times 6 = 12
Answer:
20000
Step-by-step explanation:
115%-> 23000
100%->20000
Answer: t = 29.5 inches
Step-by-step explanation:
Given that the ΔSTU, u = 23 inches, ∠T=158° and ∠U=17°.
We can Find the length of t by using sine rule
t/saint = u/sinU
t/sin158 = 23/sin17
t = sin158 × 23/sin17
t = 29.47 inches
t = 29.5 inches