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LuckyWell [14K]
1 year ago
5

The length of a rectangle is increased by 25% , but the width of the rectangle is decreased by 25%. By what percent was the rect

angle's area decreased
Mathematics
1 answer:
Yuki888 [10]1 year ago
6 0

The rectangle's area decreased by 19%.

Length = L

Breadth = B

Original area = L x B

New area = A = L x (1 + 25%) x B x (1 - 25%)

A = L x B x 0.25 x 0.75 = L x B x 1.05

Therefore the area of the rectangle has decreased by 19%.

To find the location of a rectangle, multiply its width by means of its height. If we understand the sides of the rectangle which are different lengths, then we have each the height and the width.

The perimeter P of a rectangle is given through the system, P=2l+2w, wherein l is the period and w is the width of the rectangle. The area A of a rectangle is given by means of the method, A=lw, in which l is the duration and w is the width.

Learn more about rectangle here brainly.com/question/25292087

#SPJ4

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The graph of a quadratic function f has zeros of -8 and 4 and a maximum at (-2,18). What is the value of a in the function’s equ
Harrizon [31]
<h3>Answer: C) -1/2</h3>

==================================

Work Shown:

We will use the general vertex form y = a(x-h)^2+k

(h,k) is the vertex, and the 'a' value stretches or compresses the graph vertically

(h,k) = (-2,18) since the highest point is at (-2,18)

Use either root -8 or 4 to plug into the equation as well. I'll use -8

The root -8 means the point (-8,0) is an x intercept.

----------------

Plug the values mentioned into the equation below. Then solve for 'a'.

y = a(x-h)^2+k

y = a(x-(-2))^2+18 ... plug in (h,k) = (-2,18)

y = a(x+2)^2+18

0 = a(-8+2)^2+18 ... plug in (x,y) = (-8,0)

0 = a(-6)^2+18

0 = a*36+18

0 = 36a+18

36a+18 = 0

36a = -18 ... subtract 18 from both sides

a = -18/36 .... divide both sides by 36

a = (-1*18)/(2*18)

<h3>a = -1/2</h3>

---------------

Alternatively, you could use (x,y) = (4,0), instead of (x,y) = (-8,0), and you'll get the same 'a' value as well.  

7 0
3 years ago
Read 2 more answers
A bag contains 8 red balls and 6 blue
Andreyy89

Answer:

The probability that all 3 balls are red is 18.65%, while the probability that all 3 balls are blue is 7.87%.

Step-by-step explanation:

Since a bag contains 8 red balls and 6 blue balls, and Radhika takes three balls at random from the bag, without replacement, to calculate the probability that the three balls are the same color, the following mathematical operations must be performed:

8 + 6 = 14

14 = 100

8 = X

8 x 100/14 = X

800/14 = X

57.14 = X

100 - 57.14 = 42.86

0.5714 ^ 3 = X

0.1865 = X

0.4286 ^ 3 = X

0.0787 = X

Therefore, the probability that all 3 balls are red is 18.65%, while the probability that all 3 balls are blue is 7.87%.

5 0
2 years ago
3.89×10^9 in standard form​
Tanya [424]

Answer:

3890000000

Step-by-step explanation:

7 0
3 years ago
Delaney would like to make a 5 lb nut mixture that is 60% peanuts and 40% almonds. She has several pounds of peanuts and several
jonny [76]

A) A ratio system

B) The 4 lb peanuts and the 1 lb mixture because the 4lb added to the 1lb of mixture give the correct percentages.

4 0
2 years ago
elaine opened a saving account with a deposit of 1000. The interest on her account is compounded each year at a rate of 2%. Elai
vivado [14]

Answer:

$1,061

Step-by-step explanation:

2% of 1000 is 20.

If 2% is compounded yearly, then

year one- $1,020

year two- $1,040.40

year three- $1,061.21

Rounded to the nearest whole dollar, Elaine would have $1,061 in her savings account after three years.

5 0
3 years ago
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