Answer:
The area of a circle with a diameter of 10 inches is 78.5 in².
Step-by-step explanation:
1. Know the formula for finding the area of a circle.
A = r²
2. Since you need the radius for finding area, you will need to divide 10 by 2 because the radius is half of the diameter.
10 ÷ 2 = 5
3. Add in your numbers to the formula.
A = (5)²
4. Simplify the equation. We can use 3.14 for pi.
A = 25
A = 78.5
So, the area of the circle is 78.5 in².
Answer: x = 20.
Step-by-step explanation:
x and (3x + 10) combine to form a right angle, shown in the diagram by the small square joining the perpendicular lines.
Right angles are 90 degrees, so you can add both angles to get 90:
4e^(2x) - 3 = 12
4e^(2x) = 15
e^(2x) = 15/4
taking logs
2x = ln (15/4)
x = ln(15/4) / 2
x = 0.66 to nearest hundredth
Answer:
Step-by-step explanation:
Mp=$1200
Let sp be x
SP=MP-discount% of MP
x=1200-15/100 * 1200
x=120000-18000/100
x=102000/100
x=1020
the amount of money person saves=MP-SP
=$1200-$1020
=$180
therefore he saves $180
Answer:
The total population = 9514.2857143 people.
Step-by-step explanation:
Let the total population be represented by X
In the question, we are told that,1332 people are under the age of 20 and this value = 14% of the total population.
Therefore, the total population is calculated as
14% of X = 1332
14/100 × X = 1332
14X/100 = 1332
Cross Multiply
14X = 1332 × 100
X = 1332 × 100/14
X = 9514.2857143
Therefore, the total population = 9514.2857143 people.