Answer: 49.12 ft²
Step-by-step explanation:
To find the area of this figure, we can separate it into 2 parts. We can find the area of the semi circle and the area of the triangle. Then we add together to areas.
Area of Triangle
A=bh/2
A=6(8)/2
A=48/2
A= 24 ft²
Area of Semi Circle
A=πr²/2 (Divide by 2 because semi circle is half of a circle, so we divide the area by 2)
A=π(4)²/2
A=(3.14)(16)/2
A=25.12 ft²
Total area
A=24+25.12=49.12 ft²
Answer: Required system
x+y= 30
0.25x+0.05y=5.10
Jude has 18 quarters and 12 nickels.
Step-by-step explanation:
Let x= Number of quarters
y= Number of nickels
As per given,
x+y= 30 (i)
0.25x+0.05y=5.10 (ii) [1 quarter = $0.25 , 1 nickel = $0.05]
Multiply 0.25 on both sides of equation (i)
0.25x+0.25y= 7.5 (iii)
Eliminate (ii) from (iii) , we get
0.20y=2.4
⇒ y = 12 [divide both sides by 0.20]
Put value of y in (i\), we get
x+12=30
⇒ x= 30-12= 18
Hence, Jude has 18 quarters and 12 nickels.
Answer:
The rectangle has the greater area.
The rectangle has 2 square centimeters more than the square.
Step-by-step explanation:
because 4 1/2 × 6 = 27 square centimeters is the area of the rectangle.
5 × 5 = 25 square centimeters is the area of the square.
Sum of ratios: 3 + 7 + 2 = 12
Measure of smallest; sum of angles in triangle = 180
Smallest: (2/12)* 180 = 30
30°
Answer:
x = 8
Step-by-step explanation:
10/(3x+1) = 22/(7x-1) ---->set up proportion
10(7x-1) = 22(3x+1) ----> cross multiply
70x - 10 = 66x + 22 --------> distribute
4x = 32
x = 8