Answer:
6in
Step-by-step explanation:
Given data
Volume of the lockbox= 312 cubic inches
Height= 4in
Length= 13in
Width= ???
The expression for the volume of box is
V= L*W*H
substitute
312=13*W*4
312=52W
W= 312/52
W=6 in
Hence the width is 6in
Answer:
D.) Natural Numbers
Step-by-step explanation:
Answer:
Step-by-step explanation:
1) 2x + y =7 -------------(I)
x - y = 2 -----------(II)
2x + y = 7
<u> x - y = 2 </u> {Now add both the equations. 'y will be cancelled}
3x = 9
x = 9/3
x = 3
Plugin x = 3 in equation (I)
2*3 + y = 7
6+ y = 7
y = 7 - 6 = 1
Answer: a) y = 1
2) Prime factorize 12 , 15 and 18
12 = 2 * 2 * 3
15 = 3 * 5
18 = 2 * 3 * 3
HCF = 3
e) 3
Answer:

Step-by-step explanation:
Find the area of the square - area of 4 sectors
We'll use the formula to find one sector area

where r is the radius of one sector and x is the angle in radians
Since each angle is in a square, the angle of the sectors is 90 degrees.
Convert degrees to radians

The radius of one sector is given by 70mm/2=35mm
One sector area:

Area of all 4 sectors:

Area of the square:

Hence, Area of square - 4 Sectors:
