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
Gelneren [198K]
3 years ago
5

Task is to construct two brick columns of the dimensions shown on which an iron gate will eventually be hung. Because the bricks

measure 8" long by 3 1/2" wide by 21/2" high, you decide to build each column by laying the bottom row of
bricks as shown.
How much ground area will be covered by the first row of bricks laid (both columns) as shown above?
sq. in.

Mathematics
1 answer:
lidiya [134]3 years ago
5 0

Answer:

224 in²

Step-by-step explanation:

16 × 14 = 224 in²

You might be interested in
In Exercises 40-43, for what value(s) of k, if any, will the systems have (a) no solution, (b) a unique solution, and (c) infini
svet-max [94.6K]

Answer:

If k = −1 then the system has no solutions.

If k = 2 then the system has infinitely many solutions.

The system cannot have unique solution.

Step-by-step explanation:

We have the following system of equations

x - 2y +3z = 2\\x + y + z = k\\2x - y + 4z = k^2

The augmented matrix is

\left[\begin{array}{cccc}1&-2&3&2\\1&1&1&k\\2&-1&4&k^2\end{array}\right]

The reduction of this matrix to row-echelon form is outlined below.

R_2\rightarrow R_2-R_1

\left[\begin{array}{cccc}1&-2&3&2\\0&3&-2&k-2\\2&-1&4&k^2\end{array}\right]

R_3\rightarrow R_3-2R_1

\left[\begin{array}{cccc}1&-2&3&2\\0&3&-2&k-2\\0&3&-2&k^2-4\end{array}\right]

R_3\rightarrow R_3-R_2

\left[\begin{array}{cccc}1&-2&3&2\\0&3&-2&k-2\\0&0&0&k^2-k-2\end{array}\right]

The last row determines, if there are solutions or not. To be consistent, we must have k such that

k^2-k-2=0

\left(k+1\right)\left(k-2\right)=0\\k=-1,\:k=2

Case k = −1:

\left[\begin{array}{ccc|c}1&-2&3&2\\0&3&-2&-1-2\\0&0&0&(-1)^2-(-1)-2\end{array}\right] \rightarrow \left[\begin{array}{ccc|c}1&-2&3&2\\0&3&-2&-3\\0&0&0&-2\end{array}\right]

If k = −1 then the last equation becomes 0 = −2 which is impossible.Therefore, the system has no solutions.

Case k = 2:

\left[\begin{array}{ccc|c}1&-2&3&2\\0&3&-2&2-2\\0&0&0&(2)^2-(2)-2\end{array}\right] \rightarrow \left[\begin{array}{ccc|c}1&-2&3&2\\0&3&-2&0\\0&0&0&0\end{array}\right]

This gives the infinite many solution.

5 0
3 years ago
Ahmed drive his car 4 hours continuously as average 80 Km/hr .if his speed was 60 Km in the 1st hour, 90 Km in the 2nd hour and
nadezda [96]

Answer:

I would say 120 but that could be also be wrong but ill go with 120

7 0
2 years ago
¿Alguien sabe como realizarlo?
sashaice [31]
Hola! Intente resolverlo pero solo hice la primera por mi tiempo ahorita mismo y era:
f(0)=1
Toda la ecuación

7 0
2 years ago
Prove the polynomial identity. (2x−1)2+2(2x−1)=(2x+1)(2x−1) Drag and drop the expressions to correctly complete the proof of the
Alex_Xolod [135]

Answer:

Step-by-step explanation:

Given expression is,

(2x - 1)² + 2(2x - 1) = (2x - 1)(2x + 1)

To prove this identity we will take the left hand side of the equation and will prove equal to the right side.

(2x - 1)² + 2(2x - 1) = (2x - 1)(2x + 1)

4x² - 4x + 1 + 4x - 2 = (2x - 1)(2x + 1)

4x² - 1 = (2x - 1)(2x + 1)

(2x - 1)(2x + 1) = (2x - 1)(2x + 1) [Since a² - b² = (a - b)(a + b)]

6 0
3 years ago
Where does 196 come from?
Tju [1.3M]

Answer:

the number 196 come from 14.

6 0
2 years ago
Other questions:
  • When completing the square on the equation c 2 11c = 12, the resulting equation is:
    7·1 answer
  • The standard kilogram (fig. 1.1a) is a platinum–iridium cylinder 39.0 mm in height and 39.0 mm in diameter. what is the density
    7·1 answer
  • Congress regulates corporate fuel economy and sets an annual gas mileage for cars. A company with a large fleet of cars hopes to
    11·1 answer
  • 6 1/2 divided by 3/4 pls someone help ASAP
    6·2 answers
  • Penny reads 14 pages in 1/2 hours what is the unit rate for pages per hour
    13·2 answers
  • PLEASE HELP ME ASAP!!! I WILL MAKE YOU BRAINLIEST AND YOU GET 20 points!!!
    5·1 answer
  • a scale drawing of a rectangular room measures 3 1/2 inches by 11/2 inches the scale is 1/4 inches the scale 1/4 inch = 2 feet c
    11·2 answers
  • Multiply.
    11·1 answer
  • 3 1/2x 4 <br><br> Help I'm Failing Class
    11·2 answers
  • The product of a number and four is greater than thirty-seven​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!