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marshall27 [118]

2 years ago

5

Polygon YYY has an area of 111111 square units. Celia drew a scaled version of Polygon YYY using a scale factor of 333 and label

ed it Polygon ZZZ.
What is the area of Polygon ZZZ?

1 answer:

KonstantinChe [14]2 years ago

7 0

Answer:

The ratio of the areas = the ratio of the squares of the scale factor.

So the area of Z is 3^2 * 11 = 99 sq units.

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A certain ferry moves up and down a river between Town A and B. It takes the ferry two hours to travel to Town A and only an hou

Y_Kistochka [10]

Answer:

The distance between two cities is <em>60 miles.</em>

Step-by-step explanation:

Time taken to travel from B to A = 2 hours

Time taken to travel from A to B = 1.5 hours

Current speed = 5 mph

Let the speed of ferry in still water = <em>u</em> mph

When the ferry moves with the current, it will taken lesser time (i.e. A to B) and when it moves against the current it will take more time (i.e. B to A).

Let the distance between the two cities A and B = D miles

While moving with the current, speed = $(u+5)\ mph$

While moving against the current, speed = $(u-5)\ mph$

Formula for Distance = Speed $\times$ Time

Distance traveled in each case is same i.e. D.

So,

$D = (u+5) \times 1.5 = (u-5) \times 2\\\Rightarrow 1.5u+7.5=2u-10\\\Rightarrow 0.5u =17.5\\\Rightarrow u = \dfrac{175}{5}\\\Rightarrow u = 35 \ mph$

Now,

$D = (u+5) \times 1.5\\\Rightarrow D =(35+5) \times 1.5\\\Rightarrow D =(40) \times 1.5\\\Rightarrow \bold{D =60\ miles}$

So, the distance between two cities is <em>60 miles.</em>

6 0

2 years ago

Find the coordinates of the midpoint of a segment with the given endpoints W(-12, -7), T(-8, -4)

jasenka [17]

Finding the midpoint coordinates of any segment really boils down to finding the midpoints of each individual coordinate.

The x-coordinates of the two points are -12 and -8 - the number halfway between those two is -10, so that'll be the midpoint's x-coordinate. The y-coordinates are -7 and -4 - -5.5 is halfway between these two, so the y-coordinate will be 5.5.

Putting the two together, the midpoint of the segment WT has the coordinates (-10, -5.5).

4 0

2 years ago

Read 2 more answers

Grant plans to evaporate enough water from 22 gallons of a 16% ammonia solution to make a 24% ammonia solution. Which equation c

Paha777 [63]

First lets write down our starting conditions:

we have 22 gallons and it has 16% of ammonia

16% of 22 gallons is
A = 16/100*22 = 3,52 gallons

Now since only watter is evaporating that means that in second scenario after some watter evaporated there is still 3,52 gallons of ammonia. But now those 3,52 gallons of ammonia represent 24% of total mixture. So now we go other way.
24 % is 3,52 gallons
100% is x gallons

x = 100/24*3,52 = 14.667 gallons

That means that he has to evaporate
22 - 14.6667 = 7,333 gallons of water.

7 0

2 years ago

Arthur wrote that 15 – 14.7 = 3.

PilotLPTM [1.2K]

3 is incorrect because 14.7 + 3 = 17.7
The answer of 15 - 14.7 = 0.3

8 0

2 years ago

2 A pharmacist has a 13 % alcohol solution and another 18 % alcohol solution. How much of each must he use to make 50 grams of a

nalin [4]

<h2>Therefore he took 40 gram of $1^{st}$ type solution and 10 gram of $2^{nd}$ type solution.</h2>

Step-by-step explanation:

Given that , A pharmacist 13% alcohol solution another 18% alcohol solution .

Let he took x gram solution of $1^{st}$ type solution

and he took (50-x) gram of $2^{nd}$ type solution.

Total amount of alcohol = $[x\times\frac{13}{100}] +[(50 -x) \times\frac{18}{100} ]$ gram

Total amount of solution = 50 gram

According to problem

⇔ $\frac{ [x\times\frac{13}{100}] +[(50 -x) \times\frac{18}{100} ]}{50}= \frac{14}{100}$

⇔ $\frac{13x +900-18x}{100\times50} =\frac{14}{100}$

⇔- 5x= 700 - 900

⇔5x = 200

⇔x = 40 gram

Therefore he took 40 gram of $1^{st}$ type solution and (50 -40)gram = 10 gram of $2^{nd}$ type solution.

7 0

2 years ago

Read 2 more answers