Answer:
0.15
Step-by-step explanation:
6 divided by 24 equals 0.25
12 divided by 30 equals 0.4
0.4 minus 0.25 is 0.15
Answer:
x=−2
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−3x−32=−2(5−4x)
−3x+−32=(−2)(5)+(−2)(−4x)(Distribute)
−3x+−32=−10+8x
−3x−32=8x−10
Step 2: Subtract 8x from both sides.
−3x−32−8x=8x−10−8x
−11x−32=−10
Step 3: Add 32 to both sides.
−11x−32+32=−10+32
−11x=22
Step 4: Divide both sides by -11.
−11x
−11
=
22
−11
Area of square = 10x10
= 100
area of circle = pi(r)^2
= pi (5)^2
=25pi
area of shaded = 100 -25pi
circumference of circle = 2pi (r)
= 2pi(5)
= 10pi
perimeters of shaded = 10pi + 10 + 10
= 10pi +20
3×(60+7)
(3×30) + (3×7)
90 + 21 = 111
Answer: a) √50
b) n = 1 + 7i
Step-by-step explanation:
first, the modulus of a complex number z = a + bi is
IzI = √(a^2 + b^2)
The fact that n is complex does not mean that n doesn't has a real part, so we must write our numbers as:
m = 2 + 6i
n = a + bi
Im + nI = 3√10
Im + n I = √(a^2 + b^2 + 2^2 + 6^2)= 3√10
= √(a^2 + b^2 + 40) = 3√10
a^2 + b^2 + 40 = 3^2*10 = 9*10 = 90
a^2 + b^2 = 90 - 40 = 50
√(a^2 + b^2 ) = InI = √50
The modulus of n must be equal to the square root of 50.
now we can find any values a and b such a^2 + b^2 = 50.
for example, a = 1 and b = 7
1^2 + 7^2 = 1 + 49 = 50
Then a possible value for n is:
n = 1 + 7i
