Answer:
60 miles per hour
Step-by-step explanation:
Consider the structure of the wording: "miles per hour"
The word "per" means for each. There is you clue.
Each is, one of and one of is unit measurement
So the controlling element in this question is that you need to convert the 3 hours into 1 hour.
Using ratio properties
180
3
=
x
miles
1
hour
We need to 'force' the left hand side into the same form as the right. That is: we need to convert the denominator into 1 and see what happens to the numerator.
⇒
180
÷
3
3
÷
3
=
x
1
⇒
60
1
=
x
1
So the unit rate of speed is
60
miles
per
−−−
hour
Answer:
Perimeter of the rectangle = 6 x +20
Perimeter of the rectangle = 0<em> x² + 6 x + 20</em>
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the length of the rectangle = 2x +3
Given that the width of the rectangle = x +7
Perimeter of the rectangle = 2(length + width)
<u>Step(ii):-</u>
Perimeter of the rectangle = 2(length + width)
= 2(2 x +3 + x+7)
= 4x +6+2x+14
= 6 x +20
<u><em>Final answer:-</em></u>
Perimeter of the rectangle = 6 x +20
Perimeter of the rectangle = o x² + 6 x + 20
Using first the customary ruler and then the metric ruler, measure the length of the side of the wooden block. Remember to estimate to one place value beyond the rulers’ gradations.
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
