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3 years ago

A rectangle with a width of 2.5 cm and a length of 3 cm is dilated by a scale factor of 4. Which statements about the new

Mathematics

2 answers:

steposvetlana [31]3 years ago

6 0

Answer:

Below.

Step-by-step explanation:

The dimensions will be 10 * 12.

(each new dimension will be 4 times the original)

The new perimeter will be 4 times the original.

The new area will be 16 times the original ( 4 * 4 = 16).

The new perimeter will be 44 cm.

Mekhanik [1.2K]3 years ago

3 0

Answer:

The new perimeter will be 4 times the original perimeter.

The new area will be 4 times the original area.

Step-by-step explanation:

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What is the ratio in which the point P(3/4,5/12) decides the line segment joining points A(1/2,3/2) and B(2,-5)

timama [110]

Given:

The point $P\left(\dfrac{3}{4},\dfrac{5}{12}\right)$ divides the line segment joining points $A\left(\dfrac{1}{2},\dfrac{3}{2}\right)$ and $B(2,-5)$ .

To find:

The ratio in which he point P divides the segment AB.

Solution:

Section formula: If a point divides a segment in m:n, then the coordinates of that point are,

$Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)$

Let point P divides the segment AB in m:n. Then by using the section formula, we get

$\left(\dfrac{3}{4},\dfrac{5}{12}\right)=\left(\dfrac{m(2)+n(\dfrac{1}{2})}{m+n},\dfrac{m(-5)+n(\dfrac{3}{2})}{m+n}\right)$

$\left(\dfrac{3}{4},\dfrac{5}{12}\right)=\left(\dfrac{2m+\dfrac{n}{2}}{m+n},\dfrac{-5m+\dfrac{3n}{2}}{m+n}\right)$

On comparing both sides, we get

$\dfrac{3}{4}=\dfrac{2m+\dfrac{n}{2}}{m+n}$

$\dfrac{3}{4}(m+n)=\dfrac{4m+n}{2}$

Multiply both sides by 4.

$3(m+n)=2(4m+n)$

$3m+3n=8m+2n$

$3n-2n=8m-3m$

$n=5m$

It can be written as

$\dfrac{1}{5}=\dfrac{m}{n}$

$1:5=m:n$

Therefore, the point P divides the line segment AB in 1:5.

6 0

3 years ago

What does 3 9/10 + 4/5 equal?

andreyandreev [35.5K]

3 9/10 + 4/5

39/10 + 4/5

39/10 + 8/10

47/10= 4 7/10

4 0

3 years ago

Read 2 more answers

Incorrect

kipiarov [429]

Answer:

46.3%/100 x 162 = 75.006 games. I guess you could round it off to 75 games

6 0

2 years ago

The area of a rectangular pool is given by the trinomial 2y^2-y-3. What are the possible dimensions of the pool? Use factoring.

RSB [31]

Answer:

(2y−3)(y+1) hope this helps!

7 0

2 years ago

1 = -3(x + 4)<br> What’s the answer

irina [24]

1=-3x-12
13=-3x
3x=-13
X=-4.33333
Brainliest please? Thanks!

7 0

3 years ago

Read 2 more answers