Answer:
A) The maximum error in the calculated surface area:
Relative error:
B) The maximum error in the calculated volume:
Relative error:
Step-by-step explanation:
A) The formula for the surface area is:
The measured value is the circumference which is equal to:
then the radius is:
Substituting in the formula of the surface:
Using the formula to calculate the error:
Where is the variable measured and is a function of ().
We have C=80cm and dC=0.5cm
The relative error is the maximum error divide by the total area. The total area is:
B) The formula for the volume is:
Using
The maximum error is:
The calculated volume is:
The relative error is:
Answer:
The answer to your question is she bought 79 large cups and 76 small cups.
Step-by-step explanation:
Data
small cups = s = $1.25
large cups = l = $2.15
total number of cups = 155
total money = $265
Process
1.- Write 2 equations to solve the problem
s + l = 155
1.25s + 2.15l = 265
2.- Solve by substitution
s = 155 - l
1.25(155 - l) + 2.15l = 265
193.75 - 1.25l + 2.15l = 265
-1.25l + 2.15l = 265 - 193.75
0.9l = 71.25
l = 71.25/0.9
l = 79
s = 155 - 79
s = 76
Answer:
<em>2 7/24</em>
Step-by-step explanation:
<em>First we have to add the gallons of two cow of each owner:</em>
<em>Hank's cows: </em><em>4 3/4 + 4 1/8</em>
<em>Add the whole numbers:</em>
<em>4 + 4 = 8</em>
<em>Now for 3/4 and 1/8 </em>
<em>Find common</em>
<em>6/8 + 1/8</em>
<em>= 7/8</em>
<em>Put together :</em>
<em>8 7/8</em>
<em>Debra's cows: </em><em>5 1/2 + 5 2/3</em>
<em>Add the whole number</em>
<em>5 + 5 = 10</em>
<em>Now for 1/2 and 2/3</em>
<em>3/6 + 4/6</em>
<em>1 1/6</em>
<em>10 + 1 1/6 </em>
<em>= 11 1/6</em>
<u><em>Since now we know that:</em></u>
<u><em>Hank - </em></u><em>8 7/8</em>
<u><em>Debra - </em></u><em>11 1/6</em>
<em>we can solve the question:</em>
<em>How many more gallons of milk did Debra's two cows produce on that compared to Hank's two cows?</em>
<em>Solution:</em>
<em>11 1/6 - 8 7/8</em>
<em>Subtract whole number</em>
<em>11 - 8 = 3</em>
<em>Now for 1/6 and 7/8</em>
<em>4/24 - 21/24</em>
<em>4-21/24</em>
<em>-17/24</em>
<em>2 7/24</em>
<em />
<u>~lenvy~</u>
Step-by-step explanation:
Using the Pythagorean Theorem (we'll call the missing side x), 1² + x² = 2² so x = √3 ft.
Answer:
Step-by-step explanation:
NIPO