Is the triangle a right angle? Pythagorean Theorem.​

Answer:

the maximum area enclosed = 1125000sq. ft.

Step-by-step explanation:

Let each side perpendicular to the river be "x".

Then the side parallel to the river is "3000-2x".

Now, area of the rectangle

A(x) = (3000-2x)x

A(x) = -2x^2+3000x

Which is a quadratic equation with a = -2 and b = 3000

Maximum area occurs where x = -b/2a

x = -3000/(-2×2) = 750 ft.

Therefore, width of rectangle x = 750 ft

Now, length = 3000-2(750) = 1500 ft.

Therefore, the maximum area enclosed = 1500×750 =  1125000 sq. ft.

Given : Big cargo box measures 12m x 6m x 5m

Volume of the Box : Length x Breadth x Height

Volume of the Big cargo box : (12 × 6 × 5) = 360 m³

We know that : 1m = 100cm

Volume of the Big cargo box : 360 (100cm)³

Volume of the Big cargo box : 360 × 100³ × cm³

Given : Small box measures 40cm x 25cm x 10cm

Volume of the Small box : (40 × 25 × 10) = 10000 cm³

Small boxes which can be put into Big cargo box :

[tex]\bigstar \ \ \boxed{\dfrac{\textsf{Volume of the Big cargo box}}{\textsf{Volume of one small box}}}[/tex]

[tex]\sf{\implies \dfrac{360 \times 100^{3}}{10000}}[/tex]

[tex]\sf{\implies {36000}[/tex]

Answer : 36000 small boxes can be put into Big cargo box

============================================================

Explanation:

Ignore the portions that are 12 and 13 units long.

The base of triangle ABC is 8 units long. The height is 5 units. The base and height are always perpendicular.

The area is base*height/2 = 8*5/2 = 40/2 = 20 square units

---------

Side note:

You could find the area of triangle ABD, where D is at the 90 degree angle location, and then subtract off the area of triangle ACD. This is a slightly longer approach compared to the first section above.

Answer:

[tex]f(x)=(x-1)^2-2[/tex]

Step-by-step explanation:

Equation of a parabola:

[tex]y=a(x-h)^2+k[/tex]

The vertex is given as [tex](h,k)[/tex] -> [tex](1, -2)[/tex]

Plug in both the given point and vertex to find the value of [tex]a[/tex]:

[tex]y=a(x-h)^2+k[/tex]

[tex]y=a(x-1)^2-2[/tex]

[tex]14=a(5-1)^2-2[/tex]

[tex]14=a(4)^2-2[/tex]

[tex]14=16a-2[/tex]

[tex]16=16a[/tex]

[tex]1=a[/tex]

[tex]a=1[/tex]

Therefore, the final function is [tex]f(x)=(x-1)^2-2[/tex]

See attached graph below for a visual of the function.

Answer:

x = 6 , y = 7

Step-by-step explanation:

solving  by substitution method

x + y = 13

x = 13 - y                          equation (i)

2x - y = 5

substitute the value of x

2(13 - y) - y = 5

26 - 2y - y = 5

26 - 3y = 5

26 - 5 = 3y

21/3 = y

7 = y

substitute the value of y in equation (i)

x = 13 - y

x = 13 - 7

x = 6

Answer:

The graph of function g is the graph of function f shifted 6 units up.

Step-by-step explanation:

Given

[tex]f(x) = 2^x[/tex]

[tex]g(x) =2^x + 6[/tex]

Required

Compare g(x) to f(x)

Substitute [tex]f(x) = 2^x[/tex] in [tex]g(x) =2^x + 6[/tex]

[tex]g(x) = f(x) + 6[/tex]

This implies that f(x) is shifted 6 units upward to give g(x)

Let's solve the equation:

9x + 27 =  9 ( x + 2 ) + 9 ← Distribute 9 to the x and 2

9x + 27 = 9x + 18 + 9 ← Combine like terms

9x + 27 = 9x + 27 ← Subtract 27 from both sides

9x = 9x

0 = 0  

{Infinitely many solutions would be correct because no matter what x is, it will always equal each other the both sides of the equation because it is 9 times x on both sides.}

hope this helps..........

Answer:

x=1

Step-by-step explanation:

9x+27=9(x+2)+9

9x+27=9x+18+9

9x+27=9x+27

9x=9x

x=1

Answer:

m = [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

m = slope

m = [tex]\frac{y^2-y^1}{x^2-x^1}[/tex]            

m = [tex]\frac{-2-4}{-5-4}[/tex]

m = [tex]\frac{-6}{-9}[/tex]

m = [tex]\frac{6}{9}[/tex]

m = [tex]\frac{2}{3}[/tex]

Answer:

11 1/5

Step-by-step explanation:

I put into a calculator lol

Answer:

Moda = 4

Media = 4

Step-by-step explanation:

primero tienes que ordenarlos

1,2,3,3,4,4,4,5,6,6,7,8,8

La moda es el elemento que más se repite entonces es el 4

La media es el elemento que esta al medio, en este caso son 13 números

13/2 = 6.5, el elemento que esta en la séptima posición  7 es la media

media= 4

Answer:

x-5y

Step-by-step explanation:

6x-5x=x

-8y+3y=-5y

Answer:

hsjsm

Step-by-step explanation:

mmssdn jnhbxjs ẹnienbsd  sywb

Answer:

$678.83

Step-by-step explanation:

Given :

Principal, P = $600

Rate = 3.09% = 0.0309

Period, t = 4 years

Compounding times per period, n = 12 (monthly)

The compound interest formula :

A = P(1 + r/n)^nt

A = 600(1 + 0.0309/12)^(12*4)

A = 600(1 + 0.002575)^48

A = 600(1.002575)^48

A = 600 * 1.1313834

A = 678.83004

Worth in 4 years = $678.83

Answer:

(x-4)^2 + (y-4)^2 = 49

Step-by-step explanation:

The equation of a circle is given by

(x-h)^2 + (y-k)^2 = r^2  where ( h,k) is the center and r is the radius

(x-4)^2 + (y-4)^2 = 7^2

(x-4)^2 + (y-4)^2 = 49

Answer: X=0 , 1.03355778

Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

Problem-solving is one of those skills that is in high demand. Many employers rate it as one of the most important traits they look for in prospective employees. It is also usually listed as an important learning outcome in many of the classes you in take in college including math classes, psychology classes, and even this class! But, it is often not taught at all or very well.

One reason why this is the case is because of a confusion relating to what kinds of problems are being solved. It is often assumed that by practicing any kind of problems for which you don't have an answer you will learn the skills appropriate to solve any problem. But, this is simply not true. Since there are different types of problems learning how to solve one type won't necessarily help you build the skills you need to solve the other type. So, let's begin by distinguishing two types of problems: puzzles and mysteries.

In his book Curious: The Desire to Know and Why Your Future Depends on It, Ian Leslie defines these two types of problems very well: puzzles and mysteries.

"Puzzles have definite answers. Puzzles are orderly; they have a beginning and an end. Once the missing information is found, it's not a puzzle anymore." Most of the problems you encounter in your college math courses are in reality puzzles. They have definite answers and are orderly. Also, the information you need to solve them is right there in the question! And, if you need extra help you can just turn back to the chapter in the text which discusses how to solve these particular type of problems.

I know what you're thinking. Sure, these are real world problems and I've even faced some of them but how can I build the skills I need to solve these problems before taking these problems on? It does no good to practice on these very difficult problems.  

2. Learn as much as you can about as many topics as you can. Solving mysteries often involves drawing on knowledge from a variety of sources. It is quite likely that many of the things you're now learning (even those you think are irrelevant) may turn out to be helpful at some point in solving a problem. So, take advantage of the opportunity to really learn about psychology, biology, history, mathematics, and all the other subjects you're learning now. That time will pay off.

3. Make connections. A lot of problems are solved by finding interesting, creative connections between seemingly unrelated topics. A good example here is Steve Jobs' application of his knowledge of calligraphy to the Apple operating system. Another is the psychiatrist Jeffrey Schwartz's development of a treatment for OCD (obsessive compulsive disorder) by combining Buddhism and Austrian economics.

4. Read books about mysteries, problem solving, and even mystery novels. Sherlock Holmes is a great place to start. Reading the Conan Doyle's stories of the great detective reveal some basic principles of problem solving which can apply to everyday life. Daniel Smith's book How to Think Like Sherlock is another good resource.

5. Solve simpler mysteries first. Rather than taking on the more complex type of real world problems mentioned above, begin with simpler, but still real, problems. Never mind solving your work-life balance problem right off. Start with solving this problem: How can I keep from losing my phone every time I get ready to go somewhere?

6. Adopt a problem-solving mindset. Be observant of your surroundings and attuned to what you can do to improve how you live, work, or do simple things. Thomas Edison exemplifies this mindset very well. He often presented his lab assistants with the following challenge. He would hand them some ordinary item (like an iron or a fountain pen) and say "There's a better way. Find it." Adopt that mentality in your life. Whatever you're doing ask whether there is a better way: easier, more efficient, more effective.

7. Learn about design thinking. Lastly, you may want to learn about design thinking. I've made a few resources available that provide a brief introduction to the basic ideas of design. The important feature is to solve problems with the end user in mind. When you're trying to solve a problem be sure you understand for whom you are solving it and what their needs are. That will allow you to focus on the best solutions given what they're facing.

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

Problem solving strategies are required in solving the problems that we face everyday. To solve a particular problem, we've to understand the problem, devise a plan that will be used in carrying out the problem and then implement the solution.

In conclusion, problem solving strategies are required by everyone to solve the challenges that we face.

Read related link on:

https://brainly.com/question/24511305

Answer:

It would be 53.1

Step-by-step explanation:

Vote branlyist Please...

The approximate angle of elevation from the point on the bottom of the pool where she touched to her entry point is; D:  53.1°

We are told that she dived into the pool that was 8 ft deep.

She touches the bottom with her hands 6 ft horizontally.

Thus, a triangle is formed here with 8 being the opposite side of the angle of elevation and 6 being the adjacent side of the triangle.

Using trigonometric ratios, we can say that;

θ = tan⁻¹(8/6)

θ = 53.1°

Read more about angle of elevation at; https://brainly.com/question/19594654

step by step explaination

1/5 * 3/8

1*3 5*8

3/40

Answer:

[tex]\frac{3}{40}[/tex]

Step-by-step explanation:

1/5 × 3/8

Answer:

8.5=161.50;h= 19 hours

Step-by-step explanation:

So its pretty easy all you have to do is multiply 8.5 x 19

Answer:

7.47 seconds

Step-by-step explanation:

From the quadratic equation  the x coordinate of the vertex is

x = -b/(2a)

---------------------------

y = -16x² + 239x + 127

x = -239/ ( 2 * (-16) )

x = -239 / (-32)

x = 7.46875

Rounded

x = 7.47

Answer:

b

Step-by-step explanation:

Note that

> means greater than

< means less than

≥ means greater than or equal to  

≤ less than or equal to  

for example : 2 < 3 means 2 is less than 3

3 >2 means 3 is greater than 2

leslie wants to carry no more than 20 pounds. this means she wants to carry less than 20 pounds

w < 20

Answer:

Hence the calculated

Step-by-step explanation:

Now,

[tex]121+121v=144v^{2} + 144 v^{3} =K\\121(1+v)=144v^{2} (1+v)\\v^{2} =\frac{121}{144} \\\\v=\frac{11}{12}[/tex]

Then K is calculated as,

[tex]K=121(1+v)\\K=121(1+\frac{11}{12} )\\K=\frac{121(23)}{12} \\\\K= 231.916[/tex]

Here we get,

[tex]i=\left | \left ( \frac{v-1}{v} \right ) \right |\\i=\left | \frac{\frac{11}{12}-1}{\frac{11}{12}} \right |\\i=\frac{1}{11}[/tex]

Answer:

50 = -16t² + 12t + 8

Step-by-step explanation:

50 = -16t² + 12t + 8

Answer:

24°

Step-by-step explanation:

360/15 = 24

Answer:

C. The difference of the two means is not significant, so the null hypothesis must be rejected

Step-by-step explanation:

According to the Question,

Given, The difference of sample means of two populations is 55.4, and the standard deviation of the difference of sample means is 28.1 .

Now, if we are testing the null hypothesis at the 95% confidence level .

Answer:

This is the cube root of 16

Step-by-step explanation:

2 ^ (4/3)

2^4 = 16

16 ^(1/3)

This is the cube root of 16

Answer:

This is the cube root of 16

Step-by-step explanation:

Reflection across the y-axis composition translation of 6 units x, -5 units y. Then the correct option is D.

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

On a coordinate plane, 3 triangles are shown.

Triangle B C D has points (1, 4), (1, 2), (5, 3).

Triangle B'C'D' has points (-1, 4), (-1, 2), (-5, 3).

Triangle B"C"D" has points (5, -1), (5, -3), (1, -2).

Reflection across the y-axis composition translation of 6 units x, -5 units y.

The diagram is given below.

More about the transformation of the points link is given below.

https://brainly.com/question/27224339

#SPJ1