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2 years ago

3) From the figure below, give the area of the shaded blue region

Mathematics

2 answers:

Scrat [10]2 years ago

7 0

Answer:

15 cm

Step-by-step explanation:

This could help

go to you tube and paste Area of Shaded Region - Circles, Rectangles, Triangles, & Squares - Geometry

The Organic Chemistry Tutor

coldgirl [10]2 years ago

3 0

Answer:

96 cm²

Step-by-step explanation:

<u>Required area is:</u>

A = 10*15 - 6*9 = 96 cm²

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PLZ HELP THIS IS TIMED!!!!

mihalych1998 [28]

Answer:

For the sequence is $-\frac{2}{3}$ ,-4 ,-24 ,-144 ,...

Hence the formula $f(x)=-\frac{2}{3}(6)^{x-1}$ for x=1,2,3,... represents the given geometric sequence

Step-by-step explanation:

Given sequence is $-\frac{2}{3}$ ,-4 ,-24 ,-144 ,...

To find the formula to describe the given sequence :

Let $a_1=\frac{-2}{3}$ , $a_2=-4$ , $a_3=-24$ ,...

First find the common ratio

$r=\frac{a_2}{a_1}$ here $a_1=\frac{-2}{3}$ and, $a_2=-4$

$=\frac{-4}{\frac{-2}{3}}$

$=\frac{4\times 3}{2}$

$=\frac{12}{2}$

$r=6$

$r=\frac{a_3}{a_2}$ here $a_2=-4$ and $a_3=-24$

$=\frac{-24}{-4}$

$=6$

$r=6$

Therefore the common ratio is 6

Therefore the given sequence is geometric sequence

The nth term of the geometric sequence is

$a_n=a_1r^{n-1}$

The formula which describes the given geometric sequence is

$f(x)=a_1r^{x-1}$ for x=1,2,3,...

$=\frac{-2}{3}6^{x-1}$ for x=1,2,3,...

Now verify that $f(x)=a_1r^{x-1}$ for x=1,2,3,... represents the given geometric sequence or not

put x=1 and the value of $a_1$ in $f(x)=a_1r^{x-1}$ for x=1,2,3,...

we get $f(1)=-\frac{2}{3}(6)^{1-1}$

$=-\frac{2}{3}(6)^0$

$=-\frac{2}{3}$

Therefore $f(1)=-\frac{2}{3}$

put x=2 we get $f(2)=-\frac{2}{3}(6)^{2-1}$

$=-\frac{2}{3}(6)^1$

$=-\frac{12}{3}$

Therefore $f(2)=-4$

put x=3 we get $f(3)=-\frac{2}{3}(6)^{3-1}$

$=-\frac{2}{3}(6)^2$

$=-\frac{2(36)}{3}$

Therefore $f(3)=-24$

Therefore the sequence is f(1),f(2),f(3),...

Therefore the sequence is $-\frac{2}{3}$ ,-4 ,-24 ,-144 ,...

Hence the formula $f(x)=a_1r^{x-1}$ for x=1,2,3,... represents the given geometric sequence is verified

Therefore the formula $f(x)=-\frac{2}{3}(6)^{x-1}$ for x=1,2,3,... represents the given geometric sequence

7 0

3 years ago

Read 2 more answers

Please anybody help please

wel

Answer:

x= -3 and y = 6

Step-by-step explanation:

so basically what you are trying to do is reduce into finding x and y

what you do is you want to find a number to multiply one of the equations in order to get the same x or y value does not matter which

so,...

we can do

either 20x or 15y

we will go with the smallest 15y

so for both equations multiply the whole thing by 5 for the first equation and by 3 for the second

5 x 5x+3y=3 --> 1

3 x 4x+5y=18 --> 2

we then get

25x+15y = 15 -->1

12x + 15y = 54 -->2

then now that you have the same Y values you can subtract ! which cancels out both the 15y

25x+15y = 15 -->1

- 12x + 15y = 54 -->2

13x =-39

so now x=-3 and all you have to do with x = -3 is sub this into either one of the equations that you started with !

x = -3

5(-3) +3y =3

-15 + 3y = 3

3y = 3+15

3y=18

y = 6!

5 0

2 years ago

Hi can you match these for me :(

podryga [215]

Answer:1c . 3a . 4b . 5d . 2e

Step-by-step explanation:sorry if wrong not super good

4 0

3 years ago

The measure of one angle is 7 times the measure of its complement.Find each angle measure

aleksklad [387]

<span>let the angles be x and y.
as they are compliment
x+y=90
also given
x=7y

substituting value of x in first equation
7y+y=90
8y=90
therefore
y=11.25
x=7*y=78.75</span>

7 0

3 years ago

What would go in the blank?

luda_lava [24]

Answer:44

Step-by-step explanation:

Because all angles are the same on a triangle

8 0

2 years ago

Read 2 more answers