Answer:
A
Step-by-step explanation:
The area of a circle is given by the formula:

Where <em>A</em> is the area and <em>r</em> is the radius.
Since we already know the area, we can plug it in and solve for <em>r</em>. Thus:

Divide both sides by π. We can use 3.14 as an approximation. The πs on the right cancel out:

Take the square root of each side:

The squares on the left cancel. The root of 576 is 24:

Therefore, the radius is 24.
Answer:
5m4n3 and 15m2n2
Step-by-step explanation:
you just have to find the 2 that each are divisible by 5m2n2, which are 5m4n3 and 15m2n2.
Answer:
length x width x height
6 x 8 x h = volume
Step-by-step explanation:
Answer:
Step-by-step explanation:
4x − 1 = 19
solving for x, x = 5
2x − 4 = 10
x=7
2x + 2y = 48
x=24-7
y=24-x
5x + 2y = 90
x=18-2y/5
y=45-5x/2
all the situations I could find hope this helps for each equation.
Answer:
a) ∠TVZ= 95°
Step-by-step explanation:
3a) ∠STY= ∠QTV (vert. opp. ∠s)
3x°= 120°
x°= 120° ÷3
x°= 40
∠TVZ= ∠RVW (vert. opp. ∠s)
∠TVZ= (2x +15)°
∠TVZ= [2(40) +15]°
∠TVZ= (80 +15)°
∠TVZ= 95°
b) Since ∠TVZ and ∠WVZ lies on a straight line,
∠TVZ +∠WVZ= 180° (adj. ∠s on a str. line) -----(1)
∠WVZ= (2x +5)°
∠WVZ= [2(40) +5]°
∠WVZ= (80 +5)°
∠WVZ= 85°
Substitute ∠WVZ= 85° into (1):
∠TVZ +85°= 180°
∠TVZ= 180° -85°
∠TVZ= 95°
Thus, ∠TVZ is indeed 95°.
Notes:
• What is vert. opp. ∠s?
It is an abbreviation used for a property of angles, vertically opposite angles. When two lines intersect each other, the angles facing each other (or the angles on the opposite side of each other) are equal.
• What is adj. ∠s on a str. line?
It is an abbreviation for 'adjacent angles on a straight line'. The sum of all the angles on a straight line is 180°.