Which statement is true? HELP!

According to some students, what is the true purpose of homework?

Sholpan [36]

Well acording to my teachers the true purpose of homework is to forge your mind to look beyond everyone else's mind by trying to get good grades

5 0

3 years ago

Find the perimeter and the area of the figure. A right-angled trapezoid has a shorter base of 7 centimeters, longer base of 9.5

laila [671]

The given dimensions of 9.5, 6, 7, and 6.5 cm gives the following

perimeter and area of the trapezium.

Perimeter: <u>29 cm</u>

Area: <u>49.5 cm²</u>

<h3>How can the area and perimeter of the trapezium be found?</h3>

The perimeter of a trapezoid is given as follows;

Perimeter = The sum of the lengths of the sides

Which gives;

Perimeter = 6 + 7 + 6.5 + 9.5 = 29

The perimeter of the trapezoid =<u> 29 cm</u>

Perimeter: 29 cm

The area of the trapezoid is given as follows;

$Area = \mathbf{ \dfrac{Sum \ of \ the \ parallel \ sides }{2} \times Height}$

Which gives;

$Area = \dfrac{7 + 9.5 }{2} \times 6 = 49.5$

The area of the trapezoid = 49.5 cm²

Area:<u> 49.5 cm²</u>

Learn more about the area and perimeter of geometric shapes here:

brainly.com/question/359059

brainly.com/question/11461461

8 0

2 years ago

What is the minimum value of C = 7x + 8y, given the constraints: 2x + y ≥ 8, x + y ≥ 6, x ≥ 0, y ≥ 0. A. 32 B. 42 C. 46 D. 64

marshall27 [118]

Answer: The minimum value of C is 46.

Step-by-step explanation:

Since, Here, We have to find out Min C = 7x+8y

Given the constraints are $2x+y\geq 8$ -------(1)

$x+y \geq 6$ ------------- (2)

$x \geq 0$ , $y \geq 0$ -------- (3)

Since, For equation 1) x-intercept, (4, 0) and y-intercept (0,8)

And, $2\times 0+0\geq 8$ ⇒ $0\geq 8$ ( false)

Therefore the area of line 1) does not contain the origin.

For equation 2) x-intercept, (6, 0) and y-intercept (0,6)

And, $0+0\geq 6$ ⇒ $0\geq 6$ ( false)

Therefore the area of line 2) does not contain the origin.

Thus after plotting the constraints 1) 2) and 3) we get Open Shaded feasible region AEB ( Shown in below graph)

At A≡(0,8) , C= 64

At E≡(2,4), C= 46

At B≡(6,0), C= 42

Thus at B, C is minimum, And its minimum value = 42

5 0

3 years ago

Read 2 more answers

How to rank linear functions

Maurinko [17]

In linear algebra, the rank of a matrix

A

A is the dimension of the vector space generated (or spanned) by its columns.[1] This corresponds to the maximal number of linearly independent columns of

A

A. This, in turn, is identical to the dimension of the vector space spanned by its rows.[2] Rank is thus a measure of the "nondegenerateness" of the system of linear equations and linear transformation encoded by

A

A. There are multiple equivalent definitions of rank. A matrix's rank is one of its most fundamental characteristics.

The rank is commonly denoted by

rank

⁡

(

A

)

{\displaystyle \operatorname {rank} (A)} or

rk

⁡

(

A

)

{\displaystyle \operatorname {rk} (A)}; sometimes the parentheses are not written, as in

rank

⁡

A

{\displaystyle \operatorname {rank} A}.

4 0

3 years ago

the utility industry has 428.5 thousand jobs in 2010 and is expected to decline at an average rate of 3 thousand jobs per year f

Aleksandr-060686 [28]

Answer: 7%

Step-by-step explanation:

Given: Initial jobs = 428.5 thousand

Average rate of declining of jobs from 2010 to 2020 = 3 thousand jobs per year

From 2010 to 2020 , there are 10 years.

Total jobs declines till 2020 = 10 x (3 thousand)

= 30 thousand (Change in jobs)

Now, utilities percent change for 2010 to 2020 : $\dfrac{change \ in \ job\ numbers}{Initial\ jobs}\times 100$

$=\dfrac{30}{428.5}\times100\\\\\approx7.00\%$

Utilities percent change for 2010 to 2020 = 7 %

7 0

3 years ago