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3 years ago

Solve the following system by any method–3x 5y = –94x 8y = 12

Mathematics

1 answer:

Kay [80]3 years ago

7 0

The answer is (3, 0)

Hope this helps! :D

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For the figures below, assume they are made of semicircles, quarter circles and squares. For each shape, find the area and perim

ICE Princess25 [194]

Answer:

Part a) The area of the figure is $\frac{9}{2}(4+\pi )\ cm^{2}$

Part b) The perimeter of the figure is $3(2+2\sqrt{2}+ \pi)\ cm$

Step-by-step explanation:

Step 1

Find the area of the figure

In this problem we have that

The figure ABC is the half of a square and the other figure is a semicircle

Find the area of the figure ABC

we have

$AB=6\ cm, BC=6\ cm$

The area of the half square ABC is equal to find the area of triangle ABC

$A1=\frac{1}{2}*6*6=18\ cm^{2}$

Find the area of the semicircle

The area of the semicircle is equal to

$A2=\pi r^{2}/2$

we have that

$r=6/2=3\ cm$

substitute

$A2=\pi (3)^{2}/2$

$A2=(9/2) \pi\ cm^{2}$

The area of the figure is equal to

$18\ cm^{2}+(9/2) \pi\ cm^{2}= \frac{9}{2}(4+\pi )\ cm^{2}$

Step 2

Find the perimeter of the figure

The perimeter of the figure is equal to

$P=AB+AC+length\ CB$

we have

$AB=6\ cm$

Applying Pythagoras theorem

$AC=\sqrt{6^{2}+6^{2}}\\AC=6\sqrt{2}\ cm$

Remember that

the circumference of a semicircle is equal to

$C=\frac{1}{2}2\pi r=\pi r$

$r=6/2=3\ cm$

$C=\pi(3)$

$C=3 \pi\ cm$

The perimeter of the figure is equal to

$P=6\ cm+6\sqrt{2}\ cm+3 \pi\ cm$

Simplify

$P=3(2+2\sqrt{2}+ \pi)\ cm$

5 0

3 years ago

What is the solution of 19

lisabon 2012 [21]

There are many like

1(10)+10-1=19

18+1=19

30-11=19

15+4=19 Hope this help!!

7 0

4 years ago

please please please help me please help me please help me please help me please help me please help

steposvetlana [31]

Answer:

1/4 of the answer

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

A certain forest covers an area of 2100 km². Suppose that each year this area decreases by 3.5%. What will the area be after 5 y

Blizzard [7]

Answer:

$\large\boxed{\sf \ \ \ 1757 \ km^2 \ \ \ }$

Step-by-step explanation:

Hello,

I would recommend that you checked the answers I have already provided as this is the same method for all these questions, and maybe try to solve this one before you check the solution.

At the beginning the area is 2100

After one year the area will be

2100*(1-3.5%)=2100*0.965

After n years the area will be

$2100\cdot0.965^n$

So after 5 years the area will be

$2100\cdot0.965^5=1757.34027...$

So rounded to the nearest square kilometer is 1757

Hope this helps

8 0

3 years ago

Read 2 more answers

Pleaseeee help :( this is due today (will give brainliest if explained)

guajiro [1.7K]

Answer:

y= -16(t-3)²+151

maximum, 151

Step-by-step explanation:

6 0

3 years ago