Answer:
The surface area is 148
Step-by-step explanation:
Soooo i had to look up how to do it cause i completely forgot how. But once i did, i worked it out.
The formula i got was: A= 2(wl+hl+hw)
W= width h= height l= length
From there i just replaced the corresponding numbers for the letters that represent them. (think of that as like you see someone that you think represents you and you try to replace them, with you. Same here just w/ numbers and letters)
A= 2 [ (4x5) + (6x5) + (6x4) ]
from here you do order of operations starting with what's inside the parentheses. Then you work your way out.
A= 2 [20+ 30+ 24]
A= 2 [74]
Anytime a number is next to parentheses or brackets (which are these: [ ] ) you multiply what is outside them by what's inside them. (for this think about kids. When you seperate them, they try to make more noise. When you seperate numbers, they multiply)
Final answer is
A= 148
if this is wrong i am so, so, so sorry. I hope this helps, and i hope you have an amazing day!! Be tiger fierce! :)
Answer:
1. 17.27 cm
2. 19.32 cm
3. 24.07°
4. 36.87°
Step-by-step explanation:
1. Determination of the value of x.
Angle θ = 46°
Adjacent = 12 cm
Hypothenus = x
Using cosine ratio, the value of x can be obtained as follow:
Cos θ = Adjacent /Hypothenus
Cos 46 = 12/x
Cross multiply
x × Cos 46 = 12
Divide both side by Cos 46
x = 12/Cos 46
x = 17.27 cm
2. Determination of the value of x.
Angle θ = 42°
Adjacent = x
Hypothenus = 26 cm
Using cosine ratio, the value of x can be obtained as follow:
Cos θ = Adjacent /Hypothenus
Cos 42 = x/26
Cross multiply
x = 26 × Cos 42
x = 19.32 cm
3. Determination of angle θ
Adjacent = 21 cm
Hypothenus = 23 cm
Angle θ =?
Using cosine ratio, the value of θ can be obtained as follow:
Cos θ = Adjacent /Hypothenus
Cos θ = 21/23
Take the inverse of Cos
θ = Cos¯¹(21/23)
θ = 24.07°
4. Determination of angle θ
Adjacent = 12 cm
Hypothenus = 15cm
Angle θ =?
Using cosine ratio, the value of θ can be obtained as follow:
Cos θ = Adjacent /Hypothenus
Cos θ = 12/15
Take the inverse of Cos
θ = Cos¯¹(12/15)
θ = 36.87°
Answer:
a) Profit = 84000
b) at break even number of pens sold = 46
Step-by-step explanation:
Profit = Selling price - Cost price
Total revenue generated = 99 * 1000
Total revenue generated = 99000
Total cost on making the pen = 11 * 1000
Total cost on making the pen = 11000
Total cost including the initial cost = 11000 + 4000
Total cost including the initial cost = 15000
Profit = 99000 - 15000
Profit = 84000
Break even is when the cost are equal to Revenue thus no profit or loss
Revenue = total cost (break even)
9x = 1x + 4000
9x - x = 4000
8x = 4000
x = 500
At breakeven Revenue = 9 * 500
At breakeven Revenue = 4500
since one pen is sold at 99 therefore at break even number of pens sold = 4500/99 = 45.45( to 2 decimal place)
at break even number of pens sold = 46
