The number line would have an open circle that would be on 5 and the line would go right. the number line should count up.
Answer:
A =
. r^2
If A = 9
ft^2
. r^2 = 9
ft^2
r^2 = 9ft^2
r = sqrt(9ft^2)
r = 3ft ( r>0)
Step-by-step explanation:
Answer:
Step-by-step explanation:
x2 = 36?
solution
x^2-(36)=0
Factoring: x2-36
Check : 36 is the square of 6
Check : x2 is the square of x1
Factorization is : (x + 6) • (x - 6)
(x + 6) • (x - 6) = 0
x+6 = 0
x = -6
x-6 = 0
add 6 to both side
x = 6
x = -6
Answer:
7.5 m 457.5

Step-by-step explanation:
First, visualize the original cone and the smaller cone as overlapping similar triangles. The scale factor of the original cone to the smaller cone is 50:40, so if the smaller cone has a radius of 6 m, then the radius of the original cone would be 7.5 m.
The volume of the frustum is the volume of the original cone minus the volume of the smaller cone. The formula for the volume of a cone is V =
.
Original Cone =
=
= 937.5
Smaller Cone =
=
= 480
Frustum = 937.5
- 480
= 457.5
Answer:
See below ~
Step-by-step explanation:
<u>Question 1</u>
<u>The missing angles</u>
- Both the unknown angles have the same value as the other two angles in the triangles are the same
- ∠(missing) = 180 - (72 x 2)
- ∠(missing) = 180 - 144
- ∠(missing) = 36°
⇒ The sides are <u>equal</u>
⇒ Angles are <u>not 90°</u>
⇒ It is a <u>rhombus</u>
<u></u>
<u>Question 2</u>
- The <u>diagonals</u> of the shape <u>bisect other</u> (Statement 1)
- NY = NW (given)
- XN = NZ (given)
- ∠XNY = ∠WXZ (vertically opposite angles)
- ΔXNY ≅ ΔWXZ (SAS)
- They form <u>two congruent triangles</u> (Statement 2)
- From these two statements, it is evident the figure is a <u>parallelogram</u>