Answer:
35.4cm
Step-by-step explanation:
cubed root of 5= 1.7
16+16+1.7+1.7=35.4
Answer:
A. 60 miles per hour
B.120 customers per day
C.2.5 meters per second
D. $1.59 per pound
Step-by-step explanation:
Here we are asked to determine the unit rate for each one of the options given. By unit rate we mean the quantity for per unit quantity . Hence in order to find that we divide the two and quotient is our unit rate. Let us see how:
A. 420 miles in 7 hours
Unit rate = ![\frac{420}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B420%7D%7B7%7D)
Unit rate = 60 miles per hour
B. 360 customers in 30 days
unit rate = ![\frac{360}{30}](https://tex.z-dn.net/?f=%5Cfrac%7B360%7D%7B30%7D)
Unit rate = 120 customers per day
C. 40 meters in 16 seconds
Unit rate = ![\frac{40}{16}](https://tex.z-dn.net/?f=%5Cfrac%7B40%7D%7B16%7D)
Unit rate = 2.5 meters per second
D. $7.96 for 5 pounds
Unit rate = ![\frac{7.96}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B7.96%7D%7B5%7D)
Unit rate = $1.59 per pound
D is halfway between A and B
so the coordinates of D are (2,2)
E is halfway between A and C so the coordinates of E are (-1,1)
now you need to find the gradient/slope of DE and BC using the formula:
![\frac{y2 - y1}{x2 - x1}](https://tex.z-dn.net/?f=%20%5Cfrac%7By2%20-%20y1%7D%7Bx2%20-%20x1%7D%20)
<h3>
<u>G</u><u>r</u><u>a</u><u>d</u><u>i</u><u>e</u><u>n</u><u>t</u><u> </u><u>o</u><u>f</u><u> </u><u>D</u><u>E</u><u>:</u><u> </u></h3>
SUB IN COORDINATES OF D AND E
![\frac{1 - 2}{ - 1 - 2}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%20-%202%7D%7B%20-%201%20-%202%7D%20)
therefore the gradient of DE is 1/3.
<h3>
<u>G</u><u>r</u><u>a</u><u>d</u><u>i</u><u>e</u><u>n</u><u>t</u><u> </u><u>o</u><u>f</u><u> </u><u>B</u><u>C</u><u>:</u></h3>
<em>S</em><em>U</em><em>B</em><em> </em><em>I</em><em>N</em><em> </em><em>C</em><em>O</em><em>O</em><em>R</em><em>D</em><em>I</em><em>N</em><em>A</em><em>T</em><em>E</em><em>S</em><em> </em><em>O</em><em>F</em><em> </em><em>B</em><em> </em><em>A</em><em>N</em><em>D</em><em> </em><em>C</em>
<em>
</em>
therefore the gradient of BC is -2/-6 which simplifies to 1/3.
<h3>
therefore, BC and DE are parallel as they both have a gradient/slope of 1/3 and parallel lines have the same gradient</h3>