The area (A) of a square is determined by using the formula, A = s² where s is the measure of each side. Given s = 3 ft, the area of the square is
A = (3 ft)² = 9 ft²
Doubling the sides makes them 6 ft. The new area is, A = (6 ft)² = 36 ft². The new area is not double of the previous area but four times. The new area (An)
An = (2s) ² = 4s² = 4A
Answer:
y=-6x+33
Step-by-step explanation:
Perpendicular lines meet the following condition:
m1*m2=-1
From the first line equation, we obtain m1 if we write the given equation in a proper manner. 6y=x-12 becomes y=x/6 -12,
m1=1/6 since is the coefficient of 'x' variable.
Now, to obtain 'm2' we use the condition for perpendicular lines
(1/6)*m2=-1
m2=-6
Thus, our new line have an equation like the following y=mx+b, where m=-6
Now, we need to eval the given point (6,-3) in the equation in from above to obtain the value of 'b'
-3= -6*(6) + b
Leading us to, b=33
Basically all you need to do is estimate what 32.7 x 2.8 is. If what you get is close to 91.56, then Tom's answer is reasonable. If what you get is not close to 91.56, then his answer is not reasonable. Do you know how to estimate by rounding?
Answer: 4:9
Step-by-step explanation:
The complete question is provide in the attachment below.
Given, Number of females = 125
Number of males = 100
Total people = 120+100=225
Now, the ratio of males to the total number of people present = ![\dfrac{\text{Total number of males}}{\text{Total people}}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctext%7BTotal%20number%20of%20males%7D%7D%7B%5Ctext%7BTotal%20people%7D%7D)
![=\dfrac{100}{225}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B100%7D%7B225%7D)
Divide numerator and denominator by 25 , we get
Ratio of males to the total number of people present =
Hence, the ratio of males to the total number of people present = 4:9
Lower limit for H is given as = 7/10*(220-a) where a is the age of the person
a. We have to calculate the lower limit for a person whose age is 47
We substitute the age "a" = 47 in the above equation to calculate the lower limit .
Lower limit = 7/10*(220-47)
Lower limit = 7/10*173
Lower Limit = 1211/10 = 121.10 = 121 beats/minute (since we cannot have fractional beats)
Lower limit of the heart range in beats per minute = 121 beats/minute