The hypotenuse of a right triangle is two more than the length of one of its legs. Find the side lengths of the right triangle given the perimeter= 60 and it's area= 120

[tex] \sf= \frac{100}{100 + 25} \times 4000 \\ = \frac{100}{125} \times 4000 \\ = \frac{4}{5} \times 4000 \\ = 4 \times 800 \\ = 3200[/tex]

[tex] \huge \sf \: Answer[/tex]

The cost price is 3200.

Hope you could get an idea from here

Doubt clarification- use comment section.

Ratio:-

[tex]\\ \sf\longmapsto \dfrac{2}{20}[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{10}[/tex]

[tex]\\ \sf\longmapsto 1:10[/tex]

Answer:

-43

Step-by-step explanation:

By staring at it for a while you can tell that you're losing 5 every step. You can write the succession as [tex]a_n = 32-5n[/tex] (please notice the first terms starts when [tex]n=0[/tex], not 1!). The 16th term happens at [tex]n=15[/tex]:

[tex]a_1_5=32-5(15) = -43[/tex]

Answer:

$48

Step-by-step explanation:

Each ticket costs 4 dollars.

Tan(48.9) = x/138

X = 138 x tan(48.9)

X = 158.2

Given :-

To find :-

Solution :-

Let us assume the distance between A and B be x and the initial speed by y . After 20% increase in the speed , new speed will be ,

[tex]\blue{\dashrightarrow} [/tex] Speed = 120y/100

[tex]\blue{\dashrightarrow} [/tex] Speed = 6/5y

• According to the Question ,

[tex]\red{\dashrightarrow} [/tex] Distance = Speed * Time

[tex]\blue{\dashrightarrow} [/tex] x = y * 3 hrs

[tex]\red{\dashrightarrow} [/tex] x = 3y

And ,

[tex]\blue{\dashrightarrow} [/tex] t = Distance/Speed

[tex]\red{\dashrightarrow} [/tex] t = x ÷ (6y/5)

[tex]\blue{\dashrightarrow} [/tex] t = 5x/6y

[tex]\red{\dashrightarrow} [/tex] t = 5 (3y)/6y

[tex]\blue{\dashrightarrow} [/tex] t = 5/2 hrs

[tex]\red{\dashrightarrow} [/tex] t = 2.5 hrs

Hence now it will take 2.5 hrs to go from A to B .

Answer:

Step-by-step explanation:

Let's say the distance between A and B is 3 miles (3, because I see a need to divide the distance by 3 hours to determine the car's speed).  The actual distance makes no difference in the answer, since it is asking for a relative speed change (20%).

We find the speed to be 3 miles/3 hours, or 1 mph.  A 20% increase in speed would be (1.20)(1) = 1.20 mph.

We can find the time for a 1.2 mph car to go 3 miles by:

(3 miles)/(1.2 mph) = 2.5 hours

=====

[Note that if we assumed a different distance, say 6 miles, we'd get the same result:

6 miles/3 hours = 2 mph

1.2*2 = 2.4 mph

New time = 6/2.4 = 2.5 hours; same as before]

Answer: It,ll increase

Step-by-step explanation:

Answer:

Add all of the numbers together then multipy them by 25

Step-by-step explanation:

35X25=875

Answer:

X miles ( 35, 125, 265, 310)

m = 35 + 45x

755

Step-by-step explanation:

Hope this helps, btw have an awesome day

Answer:

63°

Step-by-step explanation:

Angle 2 is congruent in angle that has 63°

Refer to the attached pic

Answer:

The quotient of the equation is 400

Answer:

hi

Step-by-step explanation:

the correct answer is 400

Answer:

Reflection across the x-axis

Step-by-step explanation:

Rule of thumb: If the figure is diagonal, it is x-axis, but if it is horizontal, it is the y-axis.

[tex]\huge \bf •Answer •\\ [/tex]

1188 g

[tex]\huge \bf •Solution •\\ [/tex]

We know,

[tex]\sf \dfrac{mass \: \: of \: \: solute}{mass \: \: of \: \: solution} \times 100= concentration \: \: of \: \: solution \\ = > \sf \dfrac{mass \: \: of \: \: solute}{mass \: \: of \: \: solute + mass \: \: of \: \: solvent} \times 100= concentration \: \: of \: \: solution[/tex]

Given, concentration of solution = 1%

Mass of sugar (solute) = 12 g

Let the mass of water (solvent) be x.

Therefore,

[tex]\sf \dfrac{12g}{12g + x} \times 100= 1 \\ \sf = > 1200g= 12g + x \\ \sf= > (1200 - 12)g = x \\ \sf = > x = 1188g[/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

y  <  −  2/3x  −  1

Step-by-step explanation:

Answer:

5.832

Step-by-step explanation:

Answer:

The graph that represents the situation is A

Step-by-step explanation:

Answer:

just the first on. upper left corner

Answer:

19 tennis rackets

Step-by-step explanation:

Answer:

12.6

Step-by-step explanation:

total weight of apples = 3+ 4.2

= 7.2 pounds

total money spent on apples = 1.75 × 7.2

= $12.6

Answer:

12.6

Step-by-step explanation:

he had 3 points of red apples and 4.2 pounds of green apple and 1.75 pounds so he spend 12.6

Based on the number of tapes used on those days and the number of tapes in the rack, the fraction on the average used was 2/5

The average tapes used in those 3 days was:

= (35 + 60 + 25) / 3

= 120 / 3

= 40 tapes

The total number of tapes that can be used are:

= 50 + 50 per rack

= 100 tapes

The fraction of the average is:

= 40 / 100

In the lowest term this is:

= 2 / 5

In conclusion, the fraction is 2/5

Find out more about fractions at https://brainly.com/question/233783.

You didn't provide any graphs.

Answer:

The test statistic is 23

Step-by-step explanation:

Best way to understand this is to think of a sample and it's purpose;

You take a sample to get information that can be extrapolated to apply to the whole population;

So, for example, you have a factory making light bulbs, and you want to find out how long they last;

You would take a number of light bulbs from the production line, i.e. a sample, and test these;

It would be impossible to test every light bulb as this would take too long and there would be none left unused to sell, i.e. it would not be feasible or viable to do;

You would then find a mean of these times from the sample, and then extrapolate and assume it to be the duration of any light bulb coming off the production line;

The sample is the handful of light bulbs chosen to test;

The test statistic refers to the quantity or value, calculated from the sample data, this would be the mean light bulb duration in the light bulbs example;

Similar and yet different to a test statistic, a population parameter refers to a quantity or value calculated from population data;

A population refers to all members of a particular group of objects/items, so in the example, it would be all the light bulbs produced;

The population parameter would refer to the mean calculated based on data from the population (i.e. all the light bulbs produced);

Realistically, it is impossible to determine a population since it would be unviable in the practically all cases, as we can see in the example;

This value is almost always theoretical and would be assumed from a test statistic in any real scenario.

Answer:

1581.62810745 square km

Step-by-step explanation:

P = Initial Area = 2500 square km.

r = rate of decreasing = 8.75%

n = number of years = 5 years

A = 2500 ( 1 - 8.75/100)^5

A = 2500 {(100–8.75)/100}^5

A = 2500 (91.25/100)^5

A = 2500 (0.9125)^5

A = 2500 * 0.63265124298

A = 1581.62810745

Answer:

Step-by-step explanation: