Evaluate the following expression if a = 3 b = 4 and c = - 5

Thanks

In a right-angled triangle, the Pythagoras theorem is used to find the hypotenuse. Then the hypotenuse is 32.2 inches.

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

Given

A right triangle has legs measuring 16 inches And 28 inches.

We know the Pythagoras theorem

[tex]\rm Hypotenuse ^2 = Base ^2 + Perpendicular^2[/tex]

Then the hypotenuse will be.

[tex]\rm Hypotenuse ^2 = Base ^2 + Perpendicular^2\\\\\rm Hypotenuse ^2 = 16^2 + 28^2\\\\ \rm Hypotenuse ^2 = 256 + 784\\\\\rm Hypotenuse ^2 = 1040\\\\\rm Hypotenuse \ = 32.2[/tex]

Thus, the hypotenuse is 32.2 inches.

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

Answer:

B: 84%

Step-by-step explanation:

Answer:

v

Step-by-step explanation:

a. Slopes of each side:

AB: 3/4 --> 3 units up and 4 units right

BC: No slope. Slope requires a rise and a run. There's only a rise.

CD: 3/4 --> 3 units up and 4 units right

AD: No slope. Slope requires a rise and a run. There's only a rise.

b. Length of each side:

(You find this by using the distance formula)

AB: 5 units

BC: 5 units

CD: 5 units

AD: 5 units

Answer:

[tex]\sqrt[15]{m^2n^4}[/tex]

Step-by-step explanation:

[tex](\sqrt[5]{m^2n^4} )^{\frac{1}{3}}\\\\\implies( (m^2n^4)^{\frac{1}{5}})^{\frac{1}{3}}\\\\\implies (m^2n^4)^{\frac{1}{5}\times \frac{1}{3}}\\\\\implies (m^2n^4)^{\frac{1}{15}}\\\\\implies (m^2)^{\frac{1}{15}} (n^4)^{\frac{1}{15}}\\\\\implies m^{\frac{2}{15}} n^{\frac{4}{15}}[/tex]

[tex]\sqrt[15]{m^2n^4}[/tex]

Answer:

456 miles

Step-by-step explanation:

We can use proportions to solve

342 miles        x miles

------------   = --------------

6 hours           8 hours

Using cross products

342 * 8 = 6x

2736 = 6x

Divide by 6

2736/6 = x

456 miles

Answer:

Aron will drive 456 miles in 8 hours

Step-by-step explanation:

set up as proportion and cross multiply to solve:

6 hours/342 miles = 8 hours/x

x = 456

Answer:

5/11

Step-by-step explanation:

The graph I have attached shows the translation. The dashed triangle shows the first step (traveling left 4 units). The red triangle is the finished product.

So the new coordinates...

D- (-2,-2)

E- (-1,3)

F- (1,-5)

Answer:

x approximately = 11.971, y approximately = 0.837

Step-by-step explanation:

the 12 ft is the hypotenuse of the right angle triangle formed

Cos (theta) = adjacent/hypotenuse

so Cos(4) = x/12, solving for x = 11.971

Sin(theta) = opposite/hypotenuse

so Sin(4) = y/12, solving for y = 0.837

Answer:

First off, I LOVE helping people even if I'm not a professor teacher, or tutor. However, I always do my best to answer the questions as close to perfection as possible even if it can take an hour. I want people to easier to understand and leaner better when I gave an answer to their question, by doing that, I felt very proud of myself and felt like I accomplished a goal. I'm still very young and just started using Brainly, so I don't really know what a brainlist is (DON'T LAUGH). Even so, if you don't think that I deserve the brainlist, it's fine because once I'm older and have more experience, I could help more and more people with their questions or problems. If you actually gave me a brainlist, I'll be really grateful and I might give you a brainlist if you answered my questions. Anyway, when I received a brainnlist,  the first thing that came up in my mind is that my answers are actually useful for once. P.s. if you give a brainlist, Thank u

Step-by-step explanation: I hope u like my response

Answer:

3$

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

[tex](3 + 4)2 \\ add \: 3 \: to \: 4 = 7 \\ (7)2 \\ 7 \times 2 \\ 14[/tex]

Answer:

24 min

Step-by-step explanation:

14-8 is 6 so you need to shrink it 6 feet until it has a daimiter of 8.

6 divided by .25 is 24 so you have your answer

14-.25x=8

The equation is 14 - 0.25x = 8.

It will take 24 minutes for the balloon to shrink.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Given:

A hot-air balloon has a 14-foot diameter.

Rate of 0.25 feet per minute.

Now, equation to represent the situation is

14 - 0.25x = 8

On further solving

6= 0.25x

x= 6/0.25

x= 24

Hence, it will take 24 minutes for the balloon to shrink.

Learn more about equation here:

https://brainly.com/question/16255566

#SPJ5

Answer:

$6.50

Step-by-step explanation:

21.25-14.75=6.5

Answer:

D. 9, 40, 41

Step-by-step explanation:

We can use Pythagorean theorem (a²+b²=c²) to answer this question by squaring the smallest 2 lengths then seeing if it equals the square of the 3rd length.

2²+3² = 4+9 = 13 ≠ 4²

12²+15² = 144+225 = 369 ≠ 20²

8²+9² = 64+81 = 145 ≠ 10²

9²+40² = 81+1600 = 1681 = 41²

Polynomials consist of both indeterminates and coefficients. The factors of the polynomial x² - 15x + 36 is (x-3)(x-12).

A polynomial consists of both indeterminates and coefficients and involves mathematical operations such as addition, subtraction, multiplication, and division.

Given to us

x² - 15x + 36

To find the factors of the polynomial,

[tex]x^2 - 15x + 36 \\\\[/tex]

We will replace -15 with two numbers such that their sum is -15 while, their product must be 36.

[tex]x^2 - 15x + 36 \\\\ = x^2 -12x-3x +36\\\\[/tex]

now, we will take x as the common term from the first two-term, while 3 as the common term from the next two terms.

[tex]= x^2 -12x-3x +36\\\\= x(x-12) - 3 (x - 12)\\\\= (x-3)(x-12)[/tex]

Hence, the factors of the polynomial x² - 15x + 36 is (x-3)(x-12).

Learn more about Polynomials:

https://brainly.com/question/17822016

Answer:

its b.

Step-by-step explanation:

your welcome

Answer: B. 48 pi in^2

Step-by-step explanation:

Plug the given values into the equation.

So the SA = 2*pi*3*5 + 2*pi*3^2

SA = 30pi + 18pi

SA = 48 pi in^2

Step-by-step explanation:

2cm : 15cm so

5cm : 37.5cm

so 5cm is therefore=37.5cm

Answer:

75%

Step-by-step explanation:

457.7/610

divide it out

.75

make it a percentage

.75 × 100 = 75%

Hey guys! Person above me is correct, I made a mistke in my calculations!

Answer:

y = 175. x = 300. Disney vacation is 300 sold. Cars sold were 175.

Step-by-step explanation:

They want to raise $80,000. There are a total of 475 tickets.

150x + 200y (Disney Vacation + Win a car) = 80,000

x + y = 475.

__
y=475-x

150x+200(475-x)=80000

150x+95,000-200x=80,000.

-50x + 95,000 = 80,000.

-50x = -15,000

x = 300.

Disney vacation is 300 sold.

300 + y = 475.

y = 175.

Cars sold were 175.

Additional Info:

I am 14 years old and I'm learning solving the systems by elimination and substitution, etc. Hope this is the correct answer.

Answer:

18

Step-by-step explanation:

House number:

1. has 3 people

2. has 2 people

3. has 3 people

4. has 2 people

5. has 3 people

6. has 2 people

7. has 3 people

looking at each rule, it all fits.

so now add it all up so its 18

In the carnival the number of games number of rides Wyatt went on is 3 and 6 respectively.

A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.

The number of unknown objects can be find using the system of solution.

Given information-

The cost of each game is $1.25.

The cost of each ride is $2.75.

Total amount of money spent by the Wyatt is $20.25.

The number of rides he went on is twice the number of games he played.

Suppose the number of games Wyatt played is x and the number of rides he went in the carnival is y.

As, the number of rides he went on is twice the number of games he played. Thus,

[tex]y=2x[/tex]

Let the above equation as equation one.

As total amount of money spent by the Wyatt is $20.25 and The cost of each game is $1.25 and the cost of each ride is $2.75. Thus,

[tex]1.25x+2.75y=20.25\\[/tex]

Put the value of y in the above equation from the equation one as,

[tex]1.25x+2.75(2x)=20.25\\1.25x+5.5x=20.25\\6.75x=20.25\\x=3[/tex]

Thus the number of games he played is 3.

Put this value of x in the equation one as,

[tex]y=2\times3\\y=6[/tex]

Thus the number rides Wyatt went on is 6.

Hence, In the carnival the number of games number of rides, Wyatt went on is 3 and 6 respectively.

Learn more about the system of equations here;

https://brainly.com/question/13729904

Answer:

i dont know Ecactly but i think mybe its 10 or 15

Answer:

Yes

Step-by-step explanation:

She is correct because 3/10 of 100 (a full dollar) is 0.3 which is 3 in pennies/cents. You could also do 3% of 100 which is 3 (pennies/cents)

Answer:

90 cents or $0.90

Step-by-step explanation:

To find the answer, we need to find UNIT RATE

In this equation, to find unit rate, divide $4.50 (4.5) by 5 to get your answer

When we do this, we get an answer of…

90 cents!

I hope this helps!

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[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{0}~,~\stackrel{y_2}{-5}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-5}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{0}-\underset{x_1}{4}}}\implies \cfrac{-7}{-4}\implies \cfrac{7}{4}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{\cfrac{7}{4}}(x-\stackrel{x_1}{4}) \\\\\\ y-2=\cfrac{7}{4}x-7\implies y=\cfrac{7}{4}x-5[/tex]