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3 years ago

Petunia has 4 friends now. last year she had 16 friends. what is the percent change?

Mathematics

1 answer:

Sati [7]3 years ago

6 0

Answer:

25%

Step-by-step explanation:

4/16

= 1/4

= 0.25

= 25%

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ABCD rhombus, AC:BD = 4:3 Perimeter ABCD = 20 cm Find: Area of ABCD

AlladinOne [14]

Given that the perimeter of rhombus ABCD is 20 cm, the length of the sides will be:
length=20/4=5 cm
the ratio of the diagonals is 4:3, hence suppose the common factor on the diagonals is x such that:
AC=4x and BD=3x
using Pythagorean theorem, the length of one side of the rhombus will be:
c^2=a^2+b^2
substituting our values we get:
5²=(2x)²+(1.5x)²
25=4x²+2.25x²
25=6.25x²
x²=4
x=2
hence the length of the diagonals will be:
AC=4x=4×2=8 cm
BD=3x=3×2=6 cm
Hence the area of the rhombus wll be:
Area=1/2(AC×BD)
=1/2×8×6
=24 cm²

6 0

3 years ago

Find a polynomial for the sum of the shaded areas of the figure. A = 6, B = 4

soldi70 [24.7K]

Answer:

The polynomial for the sum of the shaded $\pi$ r² - 20 $\pi$

Step-by-step explanation:

Given as :

The figure is shown which is of concentric circle with radius B , A , r

The radius B = 4 unit

The radius A = 6 unit

Let The sum of shaded portion = x unit

Now, The circumference of circle = 2 $\pi$ R , where R is the radius

So, for circle with radius B.

The circumference = 2 $\pi$ R = 2 $\pi$ B

Or, The circumference = 2 $\pi$ × 4 = 8 $\pi$

Similarly

For circle with radius A.

The circumference = 2 $\pi$ R = 2 $\pi$ A

Or, The circumference = 2 $\pi$ × 6 = 12 $\pi$

Now, The area of circle with radius r is

Area = $\pi$ ×radius × radius

Or, Area = $\pi$ r²

Now,

The sum of shaded region area = The area of circle with radius r - ( The circumference with radius B + The circumference with radius A )

Or, The sum of shaded region area = $\pi$ r² - ( 8 $\pi$ + 12 $\pi$ )

Or, The sum of shaded region area = $\pi$ r² - 20 $\pi$

Hence The polynomial for the sum of the shaded area is $\pi$ r² - 20 $\pi$ Answer

5 0

3 years ago

Last week Amy ran 31 miles more than Ryan. Amy ran 40 miles. How many miles did Ryan run? I have to write an equation and solve

Korvikt [17]

Variable x is ryans miles
amy-ryan=answer
40-31=x
x=9
ryan ran 9 miles
hope this helps
40-31=x is the equation

8 0

3 years ago

Read 2 more answers

PLEASE PLEASE HELP 25 POINTS I WILL MARK BRAINLIEST

Sidana [21]

Answer:

Step-by-step explanation:

(3, 9) (-3, 5)

0 is in the middle 7 is in the middle

for x: 3 2 1 0 -1 -2 -3 for y: 9 8 7 6 5

Thus, (0, 7) is the midpoint between (3, 9) and (-3, 5)

6 0

3 years ago

You place the spring vertically with one end on the floor. You then drop a book of mass 1.50 kg onto it from a height of 0.900 m

Alex777 [14]

Answer:

The value of the maximum distance the spring will be compressed

x = 0.143 m= 14.3 cm

Step-by-step explanation:

Given data

Mass m = 1.5 kg

h = 0.9 m

k = 1500 $\frac{N}{m}$

Since the book is released from a height h = 0.9 m above the top of the spring. so the total distance

y = h + x

Now in that case for the spring

$mg y= \frac{1}{2} k x^{2}$

$mg(h +x) = \frac{1}{2} k x^{2}$

By rearranging the above equation we get

$k x^{2} - 2mgx - 2mg h = 0$

Put all the values in above equation we get

$1500x^{2} - 29.43 x - 26.48 = 0$

By solving the above equation we get

x = 0.143 m= 14.3 cm

This is the value of the maximum distance the spring will be compressed.

8 0

3 years ago