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2 years ago

GIVING BRAINLIEST!

Mathematics

1 answer:

alexira [117]2 years ago

5 0

Answer:

a= 8x+6x+48x+1

Step-by-step explanation:

Area of large rectangle is represented by a

a= 8x+6x+48x+1 - This is expanded form

Can be simplified to a= 62x+1

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What is the solution to the system of equation y=2/3x+3 x=-2

Leya [2.2K]

Answer

Is x equal to negative 2?

Step-by-step explanation:

7 0

2 years ago

The figures below are made out of circles, semicircles, quarter circles, and a square. Find the area and the perimeter of each f

WITCHER [35]

Answer:

Part 1) $A=36(\pi-2)\ cm^2$

Part 2) $P=6(\pi+2\sqrt{2})\ cm$

Step-by-step explanation:

The picture of the question in the attached figure

Part 1) Find the area

we know that

The area of the shape is equal to the area of a quarter of circle minus the area of an isosceles right triangle

$A=\frac{1}{4}\pi r^{2}-\frac{1}{2}(b)(h)$

we have that the base and the height of triangle is equal to the radius of the circle

$r=12\ cm\\b=12\ cm\\h=12\ cm$

substitute

$A=\frac{1}{4}\pi (12)^{2}-\frac{1}{2}(12)(12)\\A=(36\pi-72)\ cm^2$

simplify

Factor 36

$A=36(\pi-2)\ cm^2$

Part 2) Find the perimeter

The perimeter of the figure is equal to the circumference of a quarter of circle plus the hypotenuse of the right triangle

The circumference of a quarter of circle is equal to

$C=\frac{1}{4}(2\pi r)=\frac{1}{2}\pi r$

substitute the given values

$C=\frac{1}{2}\pi (12)\\C=6\pi\ cm$

Applying the Pythagorean Theorem

The hypotenuse of right triangle is equal to

$AC=\sqrt{12^2+12^2}\\AC=\sqrt{288}\ cm$

simplify

$AC=12\sqrt{2}\ cm$

Find the perimeter

$P=(6\pi+12\sqrt{2})\ cm$

simplify

Factor 6

$P=6(\pi+2\sqrt{2})\ cm$

4 0

3 years ago

A box contains 10 green marbles and 11 white marbles. If the first marble chosen was a green marble, what is the probability of

Neko [114]

Answer:

11/20

Step-by-step explanation:

At the beginning, the number of marbles in the box are:

10 green marbles

11 white marbles

The first marble chosen is green, and then it is not replaced in the box. Therefore, the number of green marbles left in the box is 9.

Therefore, the total number of marbles left in the box is:

$n=9+11=20$

Now we want to find the probability to choose a white marble. The number of white marble is

$w=11$

Therefore, the probability of choosing a white marble is:

$p(w)=\frac{w}{n}=\frac{11}{20}$

3 0

3 years ago

Write a function rule for the following arithmetic sequence and use it to find the 224th term. Show your work.

zavuch27 [327]

Answer:

671 is the 224th term of the given series

Step-by-step explanation:

The given sequence is

2,5,8,11....

First term that is 2

common difference that is 3

we have to find 224th term

That is n =224

using $a_n=a+(n-1)d$

$a_{224}=2+(224-1)3$

On solving the above equation we get

$a_{224}=671$

Hence, 224th term of the given series is 671

5 0

2 years ago

Read 2 more answers

Find the measure of the angles(S) Please help

kolbaska11 [484]

Answer:

10°

Step-by-step explanation:

the sum of interior angles of triangle is 180°

so. 8x+x+90°=180°

9x=90°

x=10°

4 0

2 years ago