Answer:
BMI is 24.9
Step-by-step explanation:
In order to calculate the student's BMI we first need to convert her weight into kilograms and her height into meters. We know that there are 39.37 inches in a meter and every foot has 12 inches. Therefore, since the student is 5ft 4 inches, this means she is 64inches tall. Now we can divide this by 39.37 to find her height in meters
64 / 39.37 = 1.6256 meters
Now we need to calculate her weight in kilograms. Since there are 2.20462 pounds in 1 kilogram, we simply divide her weight by 2.20462.
145 / 2.20462 = 65.7709 kilograms
Now we use the BMI formula to solve for the students BMI
BMI = ![\frac{mass}{height^{2} }](https://tex.z-dn.net/?f=%5Cfrac%7Bmass%7D%7Bheight%5E%7B2%7D%20%7D)
BMI = ![\frac{65.7709}{1.6256^{2} }](https://tex.z-dn.net/?f=%5Cfrac%7B65.7709%7D%7B1.6256%5E%7B2%7D%20%7D)
BMI = ![\frac{65.7709}{2.6425}](https://tex.z-dn.net/?f=%5Cfrac%7B65.7709%7D%7B2.6425%7D)
BMI = 24.88
Therefore we can see that the students BMI is 24.9
- - Solve for
![\frac{2}{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B5%7D%20)
=<span>0.4
Now is 0.4 bigger than 0.45?
No
Which means 0.45 is larger than </span>
![\frac{2}{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B2%7D%7B5%7D%20)
0.45>
Answer:
<u>Let's verify is the corresponding sides have same ratio:</u>
- ΔABC, sides: 6, 9, 11
- ΔXYZ, sides: 21, 31.5, 38.5
<u>Ratios:</u>
- 6/21 = 2/7 (divide by 3)
- 9/31.5 = 2/ 7 (divide by 4.5)
- 11/38.5 = 2/7 (divide by 5.5)
The ratios are same, so the triangles <u>are similar</u>
- Yes, the sides are all proportional
The scale factor (ΔABC to ΔXYZ) is <u>2/7</u> (or ΔXYZ to ΔABC is 7/2 = <u>3.5</u>)
Answer:
1.6 , 1.6
Step-by-step explanation:
Rounding 1.59 to 1 decimal place, it will be 1.6
1.58, rounded to 1 decimal place is 1.6
Answer:
The hawk reaches the rabbit at t=4.3 sec
Step-by-step explanation:
Let
h ----> is the height in feet
t ----> is the time in seconds
v ---> the initial velocity in feet pr second
s ----- is the starting height
we have
![h=-16t^{2} +vt+s](https://tex.z-dn.net/?f=h%3D-16t%5E%7B2%7D%20%2Bvt%2Bs)
when the hawk reaches the rabbit the value of h is equal to zero
we have
![v=55\ ft/sec](https://tex.z-dn.net/?f=v%3D55%5C%20ft%2Fsec)
![s=60\ ft](https://tex.z-dn.net/?f=s%3D60%5C%20ft)
substitute
![0=-16t^{2} +55t+60](https://tex.z-dn.net/?f=0%3D-16t%5E%7B2%7D%20%2B55t%2B60)
Solve the quadratic equation by graphing
The solution is t=4.3 sec
see the attached figure