Answer: 10 inches.
Step-by-step explanation:
We have to solve a system of equations.
The formula to calculate a triangle area is A = (b.h)/2
where b is the base and h is the height. This will be our first equation.
Since the height is 4 inches greater than the base, the second equation will be: h = b+4
We replace h and the value of the area (70 square inches) in the first equation, and we solve it by using the cuadratic equation formula:
70 = (b . (b+4)) / 2
70 . 2 = b² + 4b
140 = b² +4b
0 = b² + 4b - 140
The roots of this polynomial are -14 and 10. Since a distance can't be negative, the length of the base is 10 inches.
3n -10 ≥ 2
Add 10 to each side:
3n ≥ 12
Divide both sides by 3:
n ≥12/3
n≥4
The dot would be solid and located on the number 4, with the line and arrow moving/ pointing to the right.
1. n >2
2. n≤3
3. n<4
4. n≥5
Answer:
x = 4.1 cm
Step-by-step explanation:
To find x, apply pythagorean theorem, which is given as:
c² = b² + a²
Where,
c = 8.8 cm
b = ½(15.6) = 7.8 cm
a = x
Plug in the values
8.8² = 7.8² + x²
77.44 = 60.84 + x²
Subtract both sides by 60.84
77.44 - 60.84 = x²
16.6 = x²
Take the square root of both sides
√16.6 = x
x = 4.07430976
x = 4.1 cm (nearest tenth)
Answer:
803.84 feet squared
Step-by-step explanation:
A=pi*r^2
16^2=256
256*pi=803.84
Answer:
$7.50
Step-by-step explanation:
4 x 3.00 = $12.00 3.00 off the regular price makes it 12.00 for all the banners
12.00 + 18.00 = 30.00 you add the sale price with the 12.00 to get the total of each banner before the store gave the sale price.
30.00 divide by 4 = 7.50 to find out what the regular price of the banner you divide by the total of banners you bought to get the price of each banner before the sale.
