Answer:
900
Step-by-step explanation:
Each group of 3 starred angles plus the 4th angle which is an interior angle of the triangle has a total measure of 360 degrees. The sum of the measures of the three angles of the triangle is 180 degrees.
total measure of the starred angles = 4 * 360 - 180
total measure = 900 degrees
Answer:
All real numbers are solutions.
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
4(3x+2)=16x+7−4x+1
(4)(3x)+(4)(2)=16x+7+−4x+1(Distribute)
12x+8=16x+7+−4x+1
12x+8=(16x+−4x)+(7+1)(Combine Like Terms)
12x+8=12x+8
12x+8=12x+8
Step 2: Subtract 12x from both sides.
12x+8−12x=12x+8−12x
8=8
Step 3: Subtract 8 from both sides.
8−8=8−8
0=0
Answer:
Step-by-step explanation:
3) diameter of penny = 19 mm
r = 19/2 = 9.5 mm
Area of penny = πr²
= 3.14 * 9.5 * 9.5
= 283.385
= 283.39 mm²
Diameter of nickel = 21 mm
r = 21/2 = 10.5 mm
Area of nickel = πr²
= 3.14 * 10.5 *10.5
= 346.185
= 346.19 mm²
346.19 - 283.39 = 62.8 mm²
Area of Canadian nickel is greater than Canadian penny by 32.6 mm²
4) r = 12 mm
Area of circle = πr²
= 3.14 * 12 * 12
= 452.16 mm²
5) r = 20 cm
Area of circle = πr²
= 3.14 * 20 * 20
= 1256 cm²
Answer:
The equation is 
at a rate of -23%.
Step-by-step explanation:
Decay can be represented by the equation 
. We can find the rate at which it decays by using t=3 hours and A=3000. This means 
in this context.
After substituting, we divided by 6000 to each side to get 0.5 on the left. Now to solve for r, we will take the natural log of both sides and use log rules to isolate r.
We know 
so we were able to cancel it out and divide both sides by 3.
We solve with a calculator 
We change -0.23 into a percent by multiplying by 100 to get -23% as the rate.
The equation is
A. She needs 16 quarter cups of milk.
B. Equation: 4 cups multiplied by 4(four quarter cups per cup) = 16 quarter cups
Hope this helps!!
