Answer:
A. Cylinder + cone
<u>Volume is the sum of volumes:</u>
- V = Vcon + Vcyl = 1/3πr²h₁ + πr²h₂
- V = 1/3π*9²*12 + π*9²*120 = 31554.2 cm³
<u>Surface area of cone:</u>
- A = A=πr(r+√(h₁²+r²)) = π*9(9 + √(9²+12²)) = 678.6 cm²
<u>Surface area of cylinder minus bases:</u>
- A = 2πrh₂ = 2π*9*120 = 6785.8 cm²
<u>Total surface area:</u>
- 678.6 + 6785.8 = 7464.4 cm²
-------------------------------------------------
B. Cube+ pyramid
<u>Volume:</u>
- V = a³ + (1/3)a²h = a³ + (1/3)a²√(l²-(a/2)²)
- V = 8³ + (1/3)8²√(10²-4²) = 707.5 cm³
<u>Surface area of pyramid:</u>
- A = a² + 2al = 8² + 2*8*10 = 224 cm²
<u>Surface area of cube minus bases:</u>
- A = 4a² = 4(8²) = 256 cm²
<u>Total surface area:</u>
Cost of the toothbrush and the toothpaste together = $1.10
Let us assume the cost of the toothpaste = x
Then
The cost of the toothbrush is = (x + 1) dollar
Then we can write the equation as
x + x+ 1 = 1.10
2x + 1 = 1.10
2x = 1.10 - 1
2x = 0.10
x = 0.10/2
= .05 dollars
So the cost of the toothpaste is 0.05 dollars.<span>I hope
the procedure is clear to you.</span>
Answer:
3 Is the Radius
Step-by-step explanation:
Diameter is always 2R (R for radius), as they have given us the diameter of 6 we can conclude the answer by forming a simple equations
D=2R
6=2R
3=R
Answer:
y = 0.20m + 10, 100 minutes
Step-by-step explanation:
Equation: y = mx + b
Fill it in.
m = slope = 0.20
b = y-intercept = 10
y = 0.20x + 10 (They wanted the variable to be m. So, changing that.)
y = 0.20m + 10
Fill in.
30 = 0.20m + 10
Solve.
20 = 0.20m
100 = m
She was on the phone for 100 minutes.
1. 29 - 9 = 20
2. 35 - 15= 20
3. 30 - 25= 5
4. 40 - 10= 30
5. 30 - 20= 10
11. 34 - 20= 14
12. 22 - 12=10
13. 30-10=20
14. 19-9 = 10
15. 28 - 12 = 16
I hope this helps. Imk if this what your asking. Have a good day!! :)
