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3 years ago

3. (04.01 MC)

Mathematics

1 answer:

Umnica [9.8K]3 years ago

3 0

Answer: New line = 4AB

Step-by-step explanation:

If a figure is dilated with a scale factor of k , then the measure of new side length = k x (Original side)

if AB a line through center of parallelogram RSTU is drawn , then, after dealation with scale factor k= 4 , the length of new line through center = 4 x AB or 4AB.

The relationship will the new line have with line AB :

New line = 4AB

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The perimeter of a rectangle is 150 cm. the length is 4 cm greater than the width find the width and length

Fudgin [204]

Let's call the width of our rectangle $w$ and the length $l$ . We can say $l = w + 4$ , since the length is equal to 4 cm greater than the width.

Also remember that the perimeter of a rectangle is the sum of two times the width and two times the length, or $P = 2l + 2w$ . To solve this problem, we can substitute in the information we know, as shown below:

$150 = 2(w + 4) + 2w$

$150 = 4w + 8$

$142 = 4w$

$w = \frac{71}{2}$

Now, we can substitute in the width we found into the formula for length, which is $l = w + 4$ :

$l = \frac{71}{2} + 4$

$l = \frac{79}{2}$

The width of our rectangle is $\boxed{\frac{71}{2} \,\, \textrm{cm}}$ cm and the length of our rectangle is $\boxed{\frac{79}{2} \,\, \textrm{cm}}$

8 0

3 years ago

Hugh bought some magazines that cost $3.95 each and some books that cost $8.95 each. He spent a total of $47.65. If Hugh bought

Klio2033 [76]

He bought 4 books.

3.95m + 8.95b = 47.65

If he bought 3 magazines, m =3
(3.95)3 +8.95b = 47.65
11.85 + 8.95b =47.65
now we subtract 11.85 from both sides
8.95b = 35.80
we divide both sides by 8.95
b=4
Hugh bought 4 books.

7 0

3 years ago

Read 2 more answers

What is the quotient when root 1500 is divided by 2 root 15

joja [24]

Answer:

Answer is (√1500) /(2√15 )= 5

Step-by-step explanation:

8 0

3 years ago

If a club charges dues of $200 a year, it will have 50 members. For each $5 it raises its dues, it loses a member. USE AN EQUATI

Vikentia [17]

Answer:

The value is $y = \$ 225$

Step-by-step explanation:

From the question we are told that

The amount charge per year is $k = \$ 200$

The number of members it will have at this amount is $n = 50$

The amount amount increase that will lead to the loss of a single member is $z = \$ 5$

Generally the total amount the club would obtain from its members is mathematically represented as

$I = Amount \ due\ paid * Number \ of members$

Now let x denote the number of member lost

Hence

$I = (k + zx) (n-x )$

=> $I = (200 + 5x) (50-x )$

=> $I = 10000+50x-5x^2$

Thus the number of members that be removed to give the maximum income from dues is obtained by differentiating the above equation and equating it to zero

$\frac{dI}{dx} = 50-10x$