Answer:
10 quarters, 23 dimes
Step-by-step explanation:
Make dimes = d and quarters = q. Let the number of dimes and quarters add up to 33 and the value of the dimes and quarters add up to 4.80. The system of equations should look like:
- d + q = 33
- 0.10d + 0.25q = 4.80
Solve for d in the first equation. Subtract q from both sides.
d = 33 - q
Substitute d into the second equation.
0.10(33 - q) + 0.25q = 4.80
Distribute 0.10 inside the parentheses.
3.3 - 0.10q + 0.25q = 4.80
Combine like terms.
3.3 + 0.15q = 4.80
Subtract 3.3 from both sides.
0.15q = 1.5
Divide both sides by 0.15.
q = 10
Substitute this value of q into where we solved for d (d = 33 - q).
d = 33 - (10)
d = 23
The nearest whole number would be 93 because you round up if the decimal place is greater than 5 and down if it's less.
Answer:6.28 ft^2
Step-by-step explanation:
Diameter=4
Radius=diameter ➗ 2
Radius=4 ➗ 2
Radius=2
Area of semicircle=0.5xπx(radius)x(radius)
Area of semicircle=0.5x3.14x2x2
Area of semicircle=6.28 ft^2
Answer:
angle 1 = 83°
angle 2 = 88°
Step-by-step explanation:
angle 1 and angle on vertex B are
pair of co interior angles ( whose sum = 180° )
so, angle 1 + angle B = 180°
angle 1 = 180° - angle B
angle 1 = 180° - 97° = 83°
hence, angle 1 = 83°
but, angle 2 and exterior of vertex A forms alternate interior angle pair ,
so , angle 2 = angle A = 88°
i hope you got it ....
