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
azamat
2 years ago
7

The diagram below shows the dimensions of a rectangular house with a rectangular backyard. What is the total area, in square fee

t, of the house and backyard?

Mathematics
1 answer:
nignag [31]2 years ago
7 0

Answer:

D) 5,200

Step-by-step explanation:

The formula to find the area of a r rectangle: l x w, where l is the length and w is width.

Area of the backyard: 50 x 80

= 4,000 ft

Area of the house: 40 x 30

= 1,200 ft

Total = 4,000 + 1,200

= 5,200 ft²

You might be interested in
A cardboard box without a lid is to have a volume of 8,788 cm3. Find the dimensions that minimize the amount of cardboard used.
Montano1993 [528]

Answer:

  x = y = 26 cm; z = 13 cm

Step-by-step explanation:

The generic solution for the minimum material in an open-top box is that the box is square and half as high as it is wide. It is half a cube of twice the volume.

The dimensions of the square base are ...

  ∛(2·8788 cm³) = 26 cm

Then the height is half that, or 13 cm.

  x = y = 26 cm; z = 13 cm

_____

If you need to see the development, you can use the method of Lagrange multipliers to find the minimum area for the given volume;

  area = xy +2(xz +yz)

  volume = xyz = 8788

We require each of the partial derivatives of L with respect to x, y, z, and λ to be zero.

  L = xy +2(xz +yz) +λ(xyz -8788)

  partial with respect to x: 0 = y+2z +λyz

  partial with respect to y: 0 = x +2z +λxz

  partial with respect to z: 0 = 2x+2y +λxy

  partial with respect to λ: 0 = xyz -8788

From the first two equations, we have ...

  λ = (y +2z)/(yz) = 1/z +2/y

  λ = (x +2z)/(xz) = 1/z +2/x

Equating these expressions for λ, we find ...

  1/z +2/y = 1/z +2/x   ⇒   x = y

The third equation then tells us ...

  λ = (2x +2y)/(xy) = 2/y +2/x

Comparing this to either of the first two expressions for λ, we see ...

  1/z +2y = 2/x +2/y   ⇒   z = x/2

This is the result we started the answer with:

  x = y = 2z = ∛(2·8788 cm³)

7 0
3 years ago
Which product has 4 zeros after the digit 3?
sveticcg [70]

Answer:

0.03×104=3.12

0.3×104=31.2

0.3×10=3

0.03×109=3.27

these are the products

hope it helps!

4 0
2 years ago
The lifetimes of 10,000 watch batteries are normally distributed the mean lifetime is 500 days the standard deviation is 60 days
Lelu [443]
Given:
μ = 500 days, the population mean
σ = 60 days, the population standard deviation

Therefore
μ + σ = 560
μ - σ = 440
μ + 2σ = 620
μ - 2σ = 380
μ + 3σ = 680
μ - 3σ = 320

The figure shown below illustrates the normal distribution
About 68% of the total area lies in x = (μ-σ, μ+σ)
About 95% of the total area lies in x = (μ-2σ, μ+2σ)
About 99.7% of the total area lies in x = (μ-3σ, μ+3σ).

7 0
3 years ago
What is -0.18 as a fraction in simplest form.
Radda [10]
The answer is, 9/50
0.18 = 0.18/1
0.18/1 x 100/100 = 18/100
18/100 divided by 2/2 = 9/50
In conclusion the answer is 9/50.
Hopefully that helped! :)
3 0
3 years ago
No need to show work only need answer thx!
Stella [2.4K]
X=-5, X=4 hope this helps
5 0
3 years ago
Other questions:
  • Line CD passes through points C(3, –5) and D(6, 0). What is the equation of line CD in standard form?
    13·2 answers
  • 40% of what distance is 6.4 miles
    11·2 answers
  • Can you help me solve some math problems​
    10·1 answer
  • What is the distance between (Negative 5, 4) and (Negative 1, 4)?
    9·1 answer
  • Peele is interested in the average price of an entree at a French restaurant, but only has a random sample of 9 prices (prices a
    7·1 answer
  • Stacey has earned $9 interest over the past 20 months with an initial investment of $150. What is the simple interest rate she i
    10·1 answer
  • PLEASE HELP WILL GIVE BRAINLIEST
    9·1 answer
  • I have this question that i dont get plz help-2|2.2x-3.3|=-6.6
    6·2 answers
  • Find the derivative of (sec x)^1\2
    12·1 answer
  • The following statements are all incorrect. Explain the statements and the errors fully using the probability rules discussed in
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!