<span>-31=-6z-4z
Subtract 4z from -6z
-31=-10z
Divide both sides by -10
Final Answer: 3.1 or 3 1/10</span>
<span>7x + 2y = 48
</span><span>7x + 2(3) = 48
7x + 6 = 48
7x = 42
x = 6
answer </span><span>when y = 3, x = 6</span>
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Step-by-step explanation:
Answer:
the two numbers are 12 and -29
Step-by-step explanation:
let the two numbers be x and y
let the sum of the two numbers b
x+y = -17 ..................................................... equation 1
let the difference between the two numbers be
x-y = 41 ........................................................................ equation 2
from equation 1
x+y = -17 ..................................................... equation 1
x = -17 - y ............................................................... equation 3
substitute for x in equation 2
x-y = 41 ........................................................................ equation 2
-17-y -y = 41
-17 -2y = 41
-2y = 41 + 17
-2y = 58
divide both sides by -2
-2y/-2 = 58/-2
y = -29
put the value of y = -29 in equation 3
x = -17 - y ............................................................... equation 3
x = -17-(-29)
x =-17 + 29
x = 12
therefore the two numbers are 12 and -29
Answer:
Area of the shaded region = 1.92 cm²
Step-by-step explanation:
From the picture attached,
Area of the shaded region = Area of the sector OMN - Area of the triangle OMN
Area of sector OMN = 
Here, θ = Central angle of the sector
r = radius of the sector
Area of sector OMN = 
= 15.708 square cm
Area of ΔOMN = 2(ΔOPN)
Area of ΔOPN = 
Area of ΔOMN = OP × PN
In ΔOPN,
sin(25°) = 
PN = ONsin(25°)
= 6sin(25°)
= 2.536 cm²
cos(25°) = 
OP = ONcos(25°)
OP = 6cos(25°)
OP = 5.438 cm
Area of ΔOMN = 2.536 × 5.438
= 13.791 cm²
Area of the shaded region = 15.708 - 13.791 = 1.917 cm²
≈ 1.92 cm²
