All categories

2 years ago

The perimeter of a rectangle is 56 cm. When its length is reduced by 2 cm and its

1 answer:

4 0

187 cm squared.

Based on rectangle:

2L + 2W = 56

Draw the square and name your sides the following:
(W+4) , (L-2), (W+4), (L-2)

Because it’s a square, all sides are equal and we can remove and solve for one of the variables but keep in mind the parameter changed..

The new parameter is 56 minus 4cm + 8cm...keep in mind I used 4cm and 8cm because we have a 2 Lengths and 2 Widths.

Solving 60= 4 (w+4)
W= 11

So the side of our square is 11+4=15

L-2 = 15
L=17

So the area of the Rectangle is 11*17=187 cm squared.

Please let me know if it’s correct !

You might be interested in

A. When comparing the "# of Bacteria" each hour, what is the number being multiplied by each time? *

LenaWriter [7]

Answer:

Part a) The number is 8

Part b) The initial number of bacteria is 4

Part c) $y=4(8)^x$

Part d) $y=100(8)^x$

Step-by-step explanation:

we know that

The equation of a exponential function is equal to

$y=a(b)^x$

where

y is the number of bacteria

x is the time in hours

b is the base of the exponential function

a is the initial number of bacteria

Part a) When comparing the "# of Bacteria" each hour, what is the number being multiplied by each time?

we know that

For x=1 h ----> y=32 bacteria

For x=2 h ----> y=256 bacteria

For x=3 h ----> y=2,048 bacteria

For x=4 h ----> y=16,384 bacteria

For x=5 h ----> y=131,072 bacteria

For x=6 h ----> y=1,048,576 bacteria

256/32=8

2,048/256=8

16,384\2,048=8

131,072/16,384=8

1,048,576\131,072=8

the base of the exponential function b is 8

Part b) What is the initial number of bacteria? (at time zero)

we know that

The number of bacteria at time x=1 hour , divided by the number of bacteria at time x=0 must be equal to 8 (see part a)

$\frac{32}{a}=8$

solve for a

$a=32/8=4\ bacteria$

Part c) Write a rule for this table

we have

$y=a(b)^x$

we have

$a=4\\b=8$

substitute

$y=4(8)^x$

Part d) Suppose you started with 100 bacteria, but they still grew by the same growth factor. Write the function rule for this situation

In this case

$a=100$

$b=8$ ---> the growth factor is the same

$y=100(8)^x$

6 0

3 years ago

Read 2 more answers

What is the area of a sector with radius 6" and measure of arc equal to 120°?

fenix001 [56]

The area of a sector = 0.5 * radius^2 * central angle measure (in radians)

So that:

$Area_{sector}= \frac{1}{2} * 6^2* \frac{120}{180}*\pi=12\pi=37.69911
\\
Area_{sector}=37.7$ sq in

7 0

2 years ago

Write the equation of the line that passes through the points (1,9) and (-1,1). Put

SpyIntel [72]

Answer:

Point slope form

y - 9 = 4(x-1)

Equation of the straight line passing through the point (1,9) and slope 'm' = 4 is 4 x - y +5=0

Step-by-step explanation:

Step(i):-

Given that the points are (1,9) and (-1,1)

slope of the line

$m = \frac{y_{2}-y_{1} }{x_{2} - x_{1} }$

m = $\frac{1-9}{-1-1}$

m = 4

step(ii):-

Equation of the straight line passing through the point (1,9) and slope 'm' = 4

y-y₁ = m( x-x₁)

y - 9 = 4(x-1)

y -9 = 4x-4

4 x - y -4+9 =0

4 x - y +5=0

Equation of the straight line passing through the point (1,9) and slope 'm' = 4 is 4 x - y +5=0

7 0

2 years ago

Hi, I need some help with this slope problems

kirza4 [7]

1. D
2. Y= .25x-1.5
3.
4. M= -9/2 y-intercept = -12
5. M= -2 y= 0

7. A. (I think)
8. Y=2x-18

6 0

2 years ago

6) R E 126 10x + 8 13 + 5x D A) 1 C) 5 B) 7 D) 14

Gemiola [76]

Step-by-step explanation:

step 1. what is the question? maybe the question is what is the value of x in the diagram. okay.

step 2. interior angles of a triangle add up to 180°

step 3. the 3 angles inside the triangle are 10x + 8, 13 + 5x, and (180 - 126)

step 4. (10x + 8) + (13 + 5x) + 54 = 180

step 5. 15x + 21 = 126

step 6. 15x = 105

step 7. x = 7.

3 0

2 years ago