1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Alecsey [184]
3 years ago
5

The length and width of a rectangle are measured as 27 cm and 50 cm, respectively, with an error in measurement of at most 0.1 c

m in each. Use differentials to estimate the maximum error in the calculated area of the rectangle.
Mathematics
1 answer:
Tomtit [17]3 years ago
7 0

Answer:

7.7cm

Step-by-step explanation:

Area of a rectangle is expressed as

A = Length × Width

A = LW

Let dL and dW be the errors in the measurements.

If there is an error of at most 0.1cm each in the measurement, then dL = dW = 0.1cm.

The area of the rectangle with error will be expressed as A = LdW + WdL

Given L = 27cm and W = 50cm

A = 27(0.1)+50(0.1)

A = 2.7+5.0

A = 7.7cm

Hence, the maximum error in the calculated area of the rectangle is 7.7cm

You might be interested in
Please help me, im not gonna beg, I just really need help? k?
kupik [55]

For the unit rate, you are looking for how much one unit of something costs. Looking at the table, you'll see that 3 bottles of fragrance A costs $78. What you want to figure out is how much one bottle costs.

You can do this by taking the price and dividing it by how many there are.

78 ÷ 3 = $26

156 ÷ 6 = $26

234 ÷ 9 = $26

You can see that each bottle of fragrance A costs $26.

Now looking at the graph, you'll see that the line only lines up perfectly at 2 points: (1, 24) and (2, 48). This tells us that for each bottle of fragrance B, it costs $24.

Comparing the two, fragrance A will have the greatest unit rate.

3 0
2 years ago
Which is the most accurate way to estimate 26% of 91?
notka56 [123]

Answer:

B

Step-by-step explanation:

26% is close to 25%, which is equal to 1/4th.

You're adding to the number and removing from the percentage so it balances it out.

8 0
3 years ago
You invested $27,200 and started a business selling vases. Supplies cost $11 per
AleksAgata [21]
1,600 vases must be produced and sold to break even.

x($28-$11)=$27,200
Simplify to 17x=27,200
Divide 17x by 17 so it cancels out.
What you do to one side of the equation you have to do to the other.
27,200/17=1,600
x=1,600
6 0
3 years ago
(3.8 x 10 ^ -6) x (2.37 x 10 ^ -3)<br><br> Enter the answer in science notification
Black_prince [1.1K]

Multiply the coefficients and the powers of 10 with each other:

(3.8 \times 10^{-6}) \times (2.37 \times 10^{-3}) = (3.8\times2.37) \times (10^{-6} \times10^{-3})

The numeric part simply yields

3.8\times2.37 = 9.006

As for the powers of 10, you have to add the exponents, using the rule

a^b \times a^c = a^{b+c}

So, we have

10^{-6} \times10^{-3} = 10^{-6-3} = 10^{-9}

So, the final answer is

9.006\times 10^{-9}

7 0
2 years ago
Two thirds a number plus 4 is 7
Sergio039 [100]
(2/3)x+4= 7

Subtract 4 from both sides
(2/3)x= 3

Divide both sides by 2/3. To divide by a fraction, multiply the first number by the reciprocal of the second.
3*3/2= 9/2

Final answer: 9/2 or 4.5
7 0
3 years ago
Other questions:
  • Plot the image of point C under a dilation about the origin (0,0) with a scale factor of 1/5
    10·1 answer
  • Luke is planning to lay two decorative pieces of wood across the 12-inch by 24-inch rectangular glass centerpiece of a cabinet.
    10·2 answers
  • 1 quart is equal to 4 cups given a fact what is 8 quarts equivalent to in cups
    8·2 answers
  • The scatter plot for which type of data is most likely to suggest a linear association between
    6·1 answer
  • PLEASE HELP QUICKLY!!!<br> How are average IQs related to normal distribution
    14·1 answer
  • The box plot below represents some data set. What is the interquartile range (IQR) of
    12·1 answer
  • Linear or nonlinear
    11·2 answers
  • In 2006, there were 1,020,000,000 people worldwide using the Internet.
    7·1 answer
  • Student
    14·1 answer
  • (2/3) × (2/3) × (2/3)​
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!