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2 years ago

What is the percentage change for 60 to 35

1 answer:

3 0

Let x represent the percentage change. The percentage change is a factor that the original number is multiplied to get the new number.

60*x = 35
x = 35/65 = 0.53846 = 53.846%

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A decorative window is made up of a rectangle with semicircles at either end. The ratio of AD to AB is 3:2 and AB is 30 inches.

scZoUnD [109]

Answer: The required ratio will be

$84:1034$

Step-by-step explanation:

Since we have given that

Ratio of AD to AB is 3:2

Length of AB = 30 inches

So, it becomes

$2x=30\\\\x=\frac{30}{2}=15\ inches$

So, Length of AD becomes

$3x=3\times 15=45\ inches$

Now, at either end , there is a semicircle.

Radius of semicircle along AB is given by

$\frac{30}{2}=15\ inches$

So, Area of semicircle along AB and CD is given by

$2\times \frac{\pi r^2}{2}\\\\=\frac{22}{7}\times 15\times 15\\\\=\frac{4950}{7}\ in^2$

Radius of semicircle along AD is given by

$\frac{45}{2}=22.5\ inches$

Area of semicircle along AD and BC is given by

$2\times \frac{1}{2}\pi r^2\\\\=\frac{22}{7}\times \frac{45}{2}\times \frac{45}{2}\\\\=\frac{445500}{28}\ in^2$

And the combined area of the semicircles is given by

$\frac{4950}{7}+\frac{445500}{28}\\\\=\frac{465300}{28}\ in^2$

Area of rectangle is given by

$Length\times width\\\\=AD\times AB\\\\=45\times 30\\\\=1350\ in^2$

Hence, Ratio of the area of the rectangle to the combined area of the semicircles is given by

$1350:\frac{465300}{28}\\\\=1350\times 28:465300\\\\=37800:465300\\\\=84:1034$

Hence, the required ratio will be

$84:1034$

8 0

2 years ago

18.25=4(1.5-3.75x)-.25(4x-5) wat is x?

sdas [7]

The answer is x= - 11/ 16
You can check this by plugging in x for -11/16

5 0

2 years ago

Write each as a fraction 42 percent

Jet001 [13]

the answer is...

42 over 100

21 over 50

7 0

2 years ago

Read 2 more answers

predict the attendance for minor league baseball in the year 2005. a. 5,208,000 b. 4,495,000 c. 44,950,000 d. 52,080,000

solong [7]

Answer:

c. 44,950,000

Step-by-step explanation:

The following table is missing:

Year Attendance (millions)

1985 18.4

1990 25.2

1995 33.1

2000 37.6

Using a calculator, the line of best fit is obtained. Equation:

y = 1.31x - 2581.6

where y is attendance (in millions) and <em>x</em> is the year. Replacing with x = 2005 into the equation, we get:

y = 1.31(2005) - 2581.6

y = 44.95 millions or 44,950,000

6 0

3 years ago

8. The volume of the pyramid is 168 cubic inches. Find the length of the rectangular base. (3pts)7 inI8 in.

olya-2409 [2.1K]

The length of the rectangular base is 9in

<h3>How to determine the value</h3>

It is important to note that the formula for determining the volume of a pyramid with rectangular base is expressed as;

Volume = lwh/3

Where;

l is the length of the rectangular base of the pyramid
w is the width of the rectangular base of the pyramid
h is the height of the rectangular base of the pyramid

Given the value of the volume, width an height of the pyramid as 168, 7 and 8, we substitute the values, we have;

168 = l × 7 × 8/ 3

cross multiply

l × 7 × 8 = 168(3)

Find the product

56l = 504

To determine the length, divide both sides by 56, we get;

l = 504/ 56

l = 9In

Hence, the value is 9in

Learn more about volume here:

brainly.com/question/463363

#SPJ1

5 0

9 months ago