Hector drew three rectangles to show the letter H on his notebook. Use the rectangles to find the area of the letter he drew.

5. Simply the following <br> b) 1078) + (-11)

frutty [35]

Answer:

1067

Step-by-step explanation:

(1078) + (-11)

1078 -11=1067

3 0

4 years ago

Read 2 more answers

The circumference of a sphere was measured to be 82 cm with a possible error of 0.5 cm. (a) Use differentials to estimate the ma

NeTakaya

Answer:

The Maximum error is $26cm^2$

Step-by-step explanation:

Given that the circumference of a sphere was measured to be 82 cm with a possible error of 0.5 cm

<h3>To find :</h3><h3>(a) Use differentials to estimate the maximum error in the calculated surface area. (Round your answer to the nearest integer.) $cm^2$ </h3>

Given circumference of a sphere=82 cm and possible error =0.5 cm

Error of the surface area is dA

Error of circumference is dC = 0.5 cm

We know that the formula for Circumference of a sphere is C=2πr units

Differentiating with respect to r

$dC = 2\pi dr$

$dr =\frac{dC}{2π}$

$=\frac{0.5}{2\pi}$ (∵ dC = 0.5 cm)

<h3>Since Area $A = 4\pi r^2$ square units</h3>

Differentiating with respect to r

$dA = 8\pi rdr$ square units

Since given C = 82 cm.and also C=2πr we have

$r=\frac{C}{2π}$

$=\frac{82}{2π}$

$r=\frac{41}{π}$

From that $dA = 8\pi rdr$

Substituting the values of r and dr in the above equation we get

$dA = 8\pi (\frac{41}{\pi}) (\frac{0.5}{2\pi})$

$=4(41)\times (\frac{0.5}{3.14})$

$=26.1146$

$dA=26cm^2$

∴ Maximum error is $26cm^2$

4 0

4 years ago

A music store gives every 20th costumer a 5$ gift card.Every 50th customer gets a 10$ gift card. Which customer will be the firs

prisoha [69]

Answer:

100th customer is the first desired customer who received both the gift cards.

Step-by-step explanation:

$5 gift card is received by every 20th Customer.

⇒ The customers who receive this $5 card are:

20th Customer, 40th Customer , 60th Customer , 80th Customer, <u>100th</u><u> Customer</u>, 120th Customer .... and so on

Also, $10 gift card is received by every 50th Customer.

⇒ The customers who receive this $10 gift are:

50th Customer, <u>100th</u><u> Customer</u> , 150th Customer , 200th Customer ......

Among all the customers the 100th customer is the first customer who receives $5 gift card as well as the $10 gift card.

Hence, 100th customer is the first desired customer who received both the gift cards.

6 0

3 years ago

A faucet drips 2/3 gallon of water in 10 hours. What is the unit rate of water dripped per day?

kobusy [5.1K]

Answer:

1.6 Gallons Per Day

Step-by-step explanation:

first you got to do 2/3 which is 0.666666 then i multiply 0.66666 by 2 so it at 20 hours which is 1.333333 then i did 0.666666 and divided it by 10 which is 0.066666then i multiply 0.066... by 4 which is 0.2666666 then i added 0.2666666 and 1.3333333 together and it made 1.6

7 0

3 years ago

Joe gave the following argument: Since lim x→0 0 = 0,

lions [1.4K]

No error - A and B are completely right, and using the subtraction law D is right

7 0

3 years ago