All categories

3 years ago

What the answer for tje pythagorean

Mathematics

1 answer:

Aleks04 [339]3 years ago

7 0

X^2 = 8^2 + 5^2
x^2 = 64 + 25
x^2 = 89
x = 9.4339811321

You might be interested in

What's the shaded area I need help show all work

exis [7]

Solving the area of the circle
A = π × 2^2
A = 12.57
halve
/2 = 6.29
area of the square = 4*4
16
subtract area of half circle from area of square
16 - 6.29 = 9.71

6 0

4 years ago

Read 2 more answers

Find the distance speed=72km/h time=45mins

butalik [34]

The distance is 54 km if the speed and time are 72 km/h and 45 minutes respectively.

<h3>What is distance?</h3>

Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.

We have:

Speed = 72 km/h

time = 45 mins = 45/60 = 0.75 hours

We know,

Distance = Speed×time

Distance = 72(km/h)×0.75(h)

Distance = 54 km

Thus, the distance is 54 km if the speed and time are 72 km/h and 45 minutes respectively.

Learn more about the distance here:

brainly.com/question/26711747

#SPJ1

8 0

2 years ago

What is the solution to the inequality? 17 < 9 + x

dezoksy [38]

Answer:

x > 8

Step-by-step explanation:

Given

17 < 9 + x ( subtract 9 from both sides )

8 < x , hence

x > 8

7 0

3 years ago

In ΔOPQ, PQ = 17, QO = 9, and OP = 15. Which statement about the angles of ΔOPQ must be true?

77julia77 [94]

Answer:

All angles are different.

Internal angles can be acute, obtuse, or right angle.

The smallest side is opposite to the smallest angle and the longer side is opposite to the larger angle.

Step-by-step explanation:

Given - In ΔOPQ, PQ = 17, QO = 9, and OP = 15.

To find - Which statement about the angles of ΔOPQ must be true?

Proof -

As given,

In ΔOPQ, PQ = 17, QO = 9, and OP = 15.

As all the sides of the given triangle is different, So the given triangle is a Scalene triangle.

Now,

We know that , In Scalene triangle -

All sides are different.

All angles are different.

Internal angles can be acute, obtuse, or right angle.

The smallest side is opposite to the smallest angle and the longer side is opposite to the larger angle.

6 0

3 years ago

Suppose that the population P(t) of a country satisfies the differential equation dP/dt = kP (600 - P) with k constant. Its pop

jeka94

Answer:

The country's population for the year 2030 is 368.8 million.

Step-by-step explanation:

The differential equation is:

$\frac{dP}{dt}=kP(600 - P)\\\frac{dP}{P(600 - P)} =kdt$

Integrate the differential equation to determine the equation of P in terms of t as follows:

$\int\limits {\frac{1}{P(600-P)} } \, dP =k\int\limits {1} \, dt \\(\frac{1}{600} )[(\int\limits {\frac{1}{P} } \, dP) - (\int\limits {\frac{}{600-P} } \, dP)]=k\int\limits {1} \, dt\\\ln P-\ln (600-P)=600kt+C\\\ln (\frac{P}{600-P} )=600kt+C\\\frac{P}{600-P} = Ce^{600kt}$

At t = 0 the value of P is 300 million.

Determine the value of constant C as follows:

$\frac{P}{600-P} = Ce^{600kt}\\\frac{300}{600-300}=Ce^{600\times0\times k}\\\frac{1}{300} =C\times1\\C=\frac{1}{300}$

It is provided that the population growth rate is 1 million per year.

Then for the year 1961, the population is: P (1) = 301

Then $\frac{dP}{dt}=1$ .

Determine k as follows:

$\frac{dP}{dt}=kP(600 - P)\\1=k\times300(600-300)\\k=\frac{1}{90000}$

For the year 2030, P (2030) = P (70).

Determine the value of P (70) as follows:

$\frac{P(70)}{600-P(70)} = \frac{1}{300} e^{\frac{600\times 70}{90000}}\\\frac{P(70)}{600-P(70)} =1.595\\P(70)=957-1.595P(70)\\2.595P(70)=957\\P(70)=368.786$

Thus, the country's population for the year 2030 is 368.8 million.

3 0

4 years ago