We can use a system of equations to solve this.
Length 1 = x
Length 2 = y
Set up the system.
2x+2y=38
x+1=4y
Isolate the variable on one equation.
x=4y-1
Substitute that into the other equation.
2(4y-1)+2y=38
Solve.
8y-2+2y=38
10y=40
y=4
Substitute back into other equation.
x=4(4)-1=16-1=15
The lengths are 15 cm and 4 cm.
Hope this helps!
Answer: -30
Step-by-step explanation:
I just plugged it into a calculator hehe.
Answer:
she makes $6.676 an hour
Step-by-step explanation:
402.17-93.26-41.86=267.05/40=6.67625
Sorry if I’m wrong but I’m saying this if area is just multiplying both numbers then if I’m correct it would be 24 but if not then it’s probably some geometry
Answer:
2√6 m
Step-by-step explanation:
The formula for the vol. of a cone is V = (1/3)(area of base)(height).
Here, V = 20π m³ = (1/3)(area of the base)(10 m)
We need to solve for (area of the base).
Multiplying both sides of this equation by (3/10) results in:
(3/10)(20 π m³) = (area of the base)
This simplifies to 6π m² = (area of the base)
We still must find the diameter of the base. Let's find the radius of the base first: The formula for the area of a circle is A = πr². Here we have 6π m² = πr², which tells us that r² = 6 m². Since d = 2r, and r = d/2, r² = d²/4. Then the equation 6 m² = r² becomes:
6 m² = d²/4.
Solve this for d. Multiplying both sides by 4, we get:
24 m² = d²2, and d = √(24 m²) = 2√6 m
The cone diameter is 2√6 m.
