Solve systems of equations by graphing. A system of linear equations contains two or more equations e.g. y=0.5x+2 and y=x-2. The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system.
Answer: Only 21:72:87
Explanation: We know that the side lengths are not simply 7, 24, and 29, as the sum of these is only 60.
Therefore, we need to find the scale factor they were multiplied by to have side lengths with a sum of 180.
We can use 7x+24x+29x=180.
This becomes 60x=180 and the scale factor is x=3.
7*3=21, 24*3=72, and 29*3=87.
Answer:
The Field's length is 93ft
Step-by-step explanation:
P=2L+2w
360=2(w+6)+2w
360=2w+12+2w
360=4w+12
348=4w
348/4=w
87=w
L=w+6
L=87+6
L=93
Answer:
9 cm.
Step-by-step explanation:
Let the height of the pyramid be h cm, then the height of the cuboid is (15 - h) cm.
Volume of the pyramid:
= 1/3 * h * s^2 where s is the length of a side of the square base.
= hs^2/3 cm^3
Volume of the cuboid:
= s^2(15 - h).
So we have:
hs^2/ 3 = 300.......................(1)
s^2(15 - h) = 600..................(2)
From equation (1) :
h s^2 = 900
s^2 = 900/h
Now substitute for s^2 in equation (2) :
(900/h)(15 - h) = 600
Multiply through by h:
900(15 - h) = 600h
13500 - 900h = 600h
1500h = 13500
h = 9 cm (answer).
Answer:
Step-by-step explanation:
(1) 90 - 22 = 68
(2) 180 - 22 = 158
(3) 90 - 36 = 54
(4) 90
(5)90 - 24 = 66
(6) 24
(7) 15(complimentary angles are equal)
(8)90- 42 = 48
(9) E + F = 180(SUPPLEMENTARY ANGLES); E = 180 - 162 = 18
(10) G + H = 90(complementary angles); H= 90 - 18 = 72
(11)I + J= 180; J= 180 - 18 = 162
(12) K + L = 90; k = 90 - 42 = 48
