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max2010maxim [7]

3 years ago

12

the length of a rectangle is increased by 15% while its perpendicular height is decreased by 15%. determine, if any, the percent

age change in its area.

1 answer:

djverab [1.8K]3 years ago

8 0

No change in area if sides of rectangle are equal.

Hope this helps.

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Find 14÷12 . Write your answer as a fraction in simplest form.

sleet_krkn [62]

14/12 is 1.166666666666667 as in a fraction its 7/6

5 0

3 years ago

What is the supplement of a 107 angle?

olga_2 [115]

Supplementary angles add up to 180 degrees.
x + 107 = 180
x + 107 - 107 = 180 - 107
x = 73

The correct answer is B. 73 degrees.

Hope this helps =)

3 0

3 years ago

Read 2 more answers

Jorden leaves home for school on his bike everyday at 6:00 AM, traveling at 32 km/h. one day he forgot his homework, which his m

densk [106]

Answer:

She caught up with Jordan at 6:39 AM

Step-by-step explanation:

We solve this question making linear functions for the distances that Jorden and his mom have driven, and then we equalize them to find the moment they caught up.

Jorden leaves home for school on his bike everyday at 6:00 AM, traveling at 32 km/h.

Her mom will have left 15 minutes after he left, when he will already have traveled $\frac{15*32}{60} = \frac{32}{4} = 8\text{km}$

So, his position after t minutes can be modeled by the following function:

$J(t) = 8 + 32t$

His mom

His mom goes after him starting from home, so the initial position is 0, with a velocity of 52 km/h. So her position can be modeled by the following function:

$M(t) = 52t$

At what time did she catch up with Jorden,

She catches up t minutes after 6:15 AM.

t is found when

$M(t) = J(t)$

So

$8 + 32t = 52t$

$20t = 8$

$t = \frac{8}{20}$

$t = 0.4$

0.4 of an hour is 0.4*60 = 24 minutes.

So she catched up with Jordan after 6:15 AM + 24 minutes = 6:39 AM

4 0

2 years ago

A parallelogram has coordinates A(1, 1), B(5, 4), C(7, 1), and D(3, -2). What are the coordinates of parallelogram A′B′C′D′ afte

saul85 [17]

Hey there! I'm happy to help!

First, we need to rotate our points 180° about the origin. To find the coordinates after such a rotation, we simply find the negative version of each number in the ordered pair, which can be written as (x,y)⇒(-x,-y).

Let's convert this below

A: (1,1)⇒(-1,-1)

B: (5,4)⇒(-5,-4)

C: (7,1)⇒(-7,-1)

D: (3,-2)⇒(-3,2)

Now, we need to translate these new points five units to the right and one unit down. This means we will add 5 to our x-value and subtract 1 from our y-value. This will look like (x,y)⇒(x+5,y-1). Let's do this below.

A: (-1,-1)⇒(4,-2)

B: (-5,-4)⇒(0,-5)

C: (-7,-1)⇒(-2,-2)

D: (-3,2)⇒(2,1)

Therefore, this new parallelogram has coordinates of A'(4,-2), B'(0,-5), C'(-2,-2), and D'(2,1)

Now you know how to find the coordinates of translated figures! Have a wonderful day! :D

5 0

3 years ago

The perimeter of a rectangle is

kondor19780726 [428]

<h3 /><h3> $verified \: answer \sqrt}$ </h3>

Equation for Perimeter of a rectangle: Perimeter = 2W + 2L

<h3>Defining the variables, let</h3>

<h3>Width = x</h3><h3>Length = 2x+3 (3 more than twice the width)</h3>

<h3>Plugging everything into the equation</h3>

<h3>30= 2(x) + 2(2x+3) using the distributive property,</h3>

<h3>30=2x+4x+6 combining like terms</h3>

<h3>30=6x+6 subtracting 6 from both sides,</h3>

<h3>24=6x divide both sides by 6</h3>

<h3>4=x This means that the width is 4 m.</h3>

<h3>To get the length, use the expression L=2x+3 and plug in x = 4 that was already solved for</h3>

<h3>L=2(4)+3</h3>

<h3>L=8+3 = 11 m</h3>

<h3>So the dimensions of the rectangle are width is 4 m and length is 11 m.</h3>

8 0

3 years ago

Read 2 more answers