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3 years ago

Two corresponding sides of two similar pentagons are 16 cm and 28 cm. what is the ratio of the areas of the two pentagons?

1 answer:

5 0

Answer: The ratios of the area would be 3.5 times larger.

If you compare the ratios of the sides, you will find that they increase by 1.75 times.

28 / 16 = 1.75

Now, lets write an equation to see what change that would make on the area, if the sides increase by 1.75.

LW = A

1.74L x 1.75W = 3.5A

We have to multiply the 1.75 by 1.75 to find the change in area, which is 3.5.

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Two mechanics worked on a car. The first mechanic to work for 5 Hours in the second mechanic work for 15 Hours. Together they ch

Butoxors [25]

<h2>Hello!</h2>

The answers is:

The first mechanic's rate is $70 per hour.

The second mechanic's rate is $110 per hour.

Let's write the given information in order to make the equations that will help us to solve this problem.

Let be "x" the first mechanic's rate and "y" the second mechanic's rate, so:

If the first mechanic worked for 5 hours and the second mechanic worked for 15 hours, and the together charged a total of $2000.

$5x+15y=2000$

Also, we know that the sum of the two rates was $170 per hour, so:

$x+y=180$

Then, isolating "x" and replacing it into the first equation, we have:

$x=180-y$

$5(180-y)+15y=2000$

$900-5y+15y=2000$

$10y=2000-900$

$10y=1100$

$y=\frac{1100}{10}=110$

So, the second mechanic's rate is $110 per hour.

Now, to calculate the first mechanic's rate we need to replace "y" into the second equation:

$x+y=180\\x+110=180\\x=180-110=70$

So, the first mechanic's rate is $70 per hour.

Have a nice day!

7 0

3 years ago

PLease help . . . . . . . .

blagie [28]

Traveling $m$ miles on this taxi costs

$c=2.5+3.25m$

In fact, we spend 2.50 no matter what, and then we add 3.25 (i.e. the cost of a mile) multiplied by the number of miles.

This quantity has to be less than or equal to 61, so we have

$2.5+3.25m\leq 61$

Solving for $m$ , we start by subtracting 2.5 from both sides:

$3.25m\leq 58.5$

Then, we divide both sides by 3.25:

$m\leq 18$

8 0

3 years ago

Help please!!!!! :((((((!!!!!!!

Reptile [31]

The answer i would pick is 2

5 0

3 years ago

Write the explicit formula

Margaret [11]

Answer:

Step-by-step explanation:

Since there is no single number we can add to one number in the sequence to get to the next one, this is not arithmetic. That means it's geometric, if it's a sequence at all. To get from 2 to 6 we multiply by 3. To get from 6 to 18 we multiply by 3. To get from 18 to 54 we multiply by 3. Therefore, this is in fact geometric and the common ratio is 3. The standard form of a geometric explicit formula is

$A_n=a_1(r)^{n-1$ where n is the position of a number in the sequence, a1 is the first number in the sequence, and r is the common ratio. We have then

a1 = 2 and r = 3. Therefore, the explicit formula is

$A_n=2(3)^{n-1$ and you can use this to find the value of any number in the sequence. Very handy; much more so than the recursive formula, which requires that all the numbers in a sequence be found in order in order to get to a desired value.

6 0

3 years ago

I can't figure out the slope of (-5,1) and (6, 4)

Nuetrik [128]

Answer:

3/11

Step-by-step explanation:

5 0

3 years ago