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2 years ago

PLEASE HELP ME Determine the premiter of the figure . Use 3.14 for PI Round to the nearest tenth. Numbers are 10 in and 15in

Mathematics

1 answer:

densk [106]2 years ago

3 0

Answer:

5 $\pi$ +40

Step-by-step explanation:

perimeter of circle=2 $\pi$ r

so 5 is r(radius)

so 10 $\pi$ , but since it’s semicircle, you have to divide by 2, so

5 $\pi$

perimeter of rectangle=15+10+15 because you don’t count the inside, so that equals 40

so 5 $\pi$ +40

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The length of a rectangular garden is three feet less than twice it’s width. If the perimeter of the garden is 42 feet, what is

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Answer:

The length of a rectangular garden is: 13 feet

Step-by-step explanation:

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2 years ago

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3 years ago

The sum of the digits of a 2-digit number is 10. If 18 is added to the number, the digits of the new number are those of the ori

Aliun [14]

Answer:

Step-by-step explanation:

Let $(ab)$ represent a number with $a$ in the ten's position and $b$ is the one's position.

This means $(ab)$ actually has value of $10a+b$ .

We are given the sum of those digits of $(ab)$ is 10; this means $a+b=10$ .

It says if 18 is added to the number $(ab)$ , then the result is $(ba)$ .

So $(ab)$ has value $10a+b$ and

$(ba)$ has value $10b+a$ .

We are given then:

$(ab)+18=(ba)$

$10a+b+18=10b+a$

Subtract $10a$ on both sides:

$b+18=10b+a-10a$

Simplify:

$b+18=10b-9a$

Subtract $b$ on both sides:

$18=10b-b-9a$

$18=9b-9a$

Divide both sides by 9:

$2=b-a$

Rearrange by commutative property:

$2=-a+b$

So the system of equations we want to solve is:

$a+b=10$

$-a+b=2$

-------------------------Add equations together (this will eliminate the variable $a$ and allow you to go ahead and solve for $b$ :

$0+2b=12$

$2b=12$

Divide both sides by 2:

$b=\frac{12}{2}$

Simplify:

$b=6$

If $b=6$ and $a+b=10$ , then $a=4$ . $a=4$ since 4+6=10.

So the original number is (46).

18 more than 46 is 18+46=(64) which is what we wanted.

We also have the sum of 4 and 6 is 10 as well.

7 0

3 years ago

PLEASE HELP ME Determine the premiter of the figure . Use 3.14 for PI Round to the nearest tenth. Numbers are 10 in and 15in​

PLEASE HELP ME Determine the premiter of the figure . Use 3.14 for PI Round to the nearest tenth. Numbers are 10 in and 15in