Answer:
3840 cubic inches
Step-by-step explanation:
The volume of a rectangular prism is 960 cubic inches
Let the dimensions be lXwXh,
l=length of the base
w=width of the base
h=height of the base
The volume, lwh=960 cubic inches
If the dimensions of the base are doubled and the height remains the same
Volume of the new rectangular prism=2l X 2w X h =4lwh
=4 X 960 =3840 cubic inches
Answer:
Y=2
Step-by-step explanation:
For both sides to be equal, you have to have 2/5 on both sides.
Answer:
a and b are equivalent.
c, d and e are not equivalent.
So, 2 equivalent expression for c and are,
c.
( i ) 2 ( x + 2 )
( ii ) ( 4x + 8 ) / 2
d.
( i ) 3x + 16
( ii ) ( 6x + 32 ) / 2
Step-by-step explanation:
a.
2 ( x + 4 )
= 2 ( x ) + 2 ( 4 )
= 2x + 8
b.
8 + 2x can also be written as 2x + 8.
d.
3 ( x + 4 ) + ( 4 + x )
= 3 ( x ) + 3 ( 4 ) + 4 + x
= 3x + 12 + 4
= 3x + 16
Answer:
Option D
Step-by-step explanation:
Given:
- Center point: (-5, 4)
- Radius: 7
<u>Formula:</u>
Equation of circle: (x - h)² + (y - k)² = r²
[Where (h, k) is the center point and "r" is the radius of the circle]
<u>Substitute the coordinates of the center point in the formula:</u>
Given center point: (-5, 4)
∴ x-coordinate of center point (h) = -5; y-coordinate of center point (k) = 4
- ⇒ (x - h)² + (y - k)² = r²
- ⇒ [x - (-5)]² + [y - 4]² = r²
<u>Substitute the radius in the formula:</u>
Given radius: 7
- ⇒ [x - (-5)]² + [y - 4]² = r²
- ⇒ [x - (-5)]² + [y - 4]² = (7)²
<u>Simplify both sides of the equation:</u>
- ⇒ [x + 5]² + [y - 4]² = (7)(7)
- ⇒ [x + 5]² + [y - 4]² = 49 <u>(Option D)</u>
Therefore, Option 4 is correct.
<span>Triangles are the most basic type of polygon that make up all other types of polygons. In other words,you can fit a certain number of congruent triangles into any kind of polygon. </span>
