Answer:
2. x
² + y
²
= 4
3. x² + y² = 23
Step-by-step explanation:
The equation of a circle with center
(
a
,
b
) and radius r is:
(
x
−
a
)²
+ (
y
−
b
)
² = r
²
Explanation:
Here,
a
=
0
, b
=
0
, r
=
2
The equation is:
(
x
-0
)
² + (
y
-0
)
² = (
2 )
²
that is: x
² + y
² = 4
Thus:
x
² + y
²
= 4
3. Each point on a circle has the same distance from the center. This distance is the radius r of the circle.
Here,
(
-3
,
4
) is a point on the circle, meaning that the radius of the circle is the distance between (
0
,
0
)
, the center, and (
-3
,
4
)
.
thus a circle centered on the origin will have an equation of:
x² + y² =r²
And, (
-3
,
4
) lies on the circle, we have:
(-3)² + (4)² = r²
9 + 14 = 23
substituting;
x² + y² = 23
Answer:
Step-by-step explanation:
<u>Options:</u>
A. m∠C + m∠E = m∠A
- Correct. Exterior angle equals to sum of non-adjacent interior angles.
B. m∠D + m∠F = m∠B
- Incorrect. Exterior angles have greater value.
C. m∠B + m∠C + m∠E = 180°
- Correct. Interior angles of a triangle sum to 180°
D. m∠B + m∠C + m∠D = 180°
- Incorrect. Angles C and D sum to 180°
E. m∠A + m∠ B = m∠E + m∠F
- Correct. Both sides of equation refer to straight angle.
F
. m∠B + m∠C + m∠ E = m∠A + m∠D + m∠F
- Incorrect. Some of interior angles is not equal to sum of exterior angles.
Answer:
56.7
Step-by-step explanation:
2.7 x 21 = 56.7
Answer:
261.8 in^3
Step-by-step explanation:
The formula for the volume of a cone is V = (1/3)(base)(height), where "base" is the area of the base.
In this case, with the radius being 5 in and the height 10 in, we get:
V = (1/3)*π*(5 in)^2*(10 in), which simplifies to 261.8 in^3.
