Answer:
Step-by-step explanation:
- Rectangle has properties:
- Diagonals are congruent
- Opposite sides are congruent
- All angles are right
<h3>Given</h3>
- m∠ABD = 30°
- AC = 16 in
- BC = ?
<h3>Solution</h3>
<u>As per properties mentioned above we have:</u>
ΔABD is right triangle with ∠B - 30°, ∠A- 90°, ∠D - 60°
Side opposite to 30 is half of the length of the hypotenuse
<u>AD is opposite to ∠B and BD is the hypotenuse, then:</u>
- AD = 1/2*BD
- AD = 1/2(16)
- AD = 8 in
and
1/10 = 10/100
So we need to find 10% of 300.
0.10 x 300 = 30
80% of 20 is 80/100 x 20 = 16
So, kelly has used 16 stamps, and has 4 left
Answer:
No
Step-by-step explanation:
21 = 3p - 5
<u>Step 1</u> : Add 5 on both sides
21 + 5 = 3p
26 = 3p
3p = 26
<u>Step 2</u> : Divide 3 on both sides
p = 26/3
Hence, the solution of the given equation is 26/3, not 9.
Answer:
Minimum average cost = 743.75
Number of dvds to achieve the cost = 62.5
Step-by-step explanation:
Given the cost equation
C = 0.04x² − 5x + 900
To Obtian the minimum average cost ;
Find dc/dx = 0
Diffentiate cost, c it ith respect to x
dc/dx = 2(0.04x) - 5
dc/dx = 0.08x - 5 = 0
0.08x = 5
x = 5 / 0.08
x = 62.5
Substitute the value of x into C to obtain the minimum average cost
C = 0.04(62.5)² - 5(62.5) + 900
C = 743.75
