4. Is the following triangle truly a right triangle? (HINT: Does a^2 + b^2 = c^2?
25 points

TRUE, the Pythagorean Theorem is satisfied
FALSE, the Pythagorean Theorem is not satisfied

Answer:

l = √10

Step-by-step explanation:

We're given the value of a as 3 feet and the value of b as 1 feet (because 2/2 = 1). We are to find the value of l using Pythagorean Theorem.

Therefore, the answer is √10 feet.

Answer:

79%

Step-by-step explanation:

Area of rectangular region = 3*6 = 18 sq inches

Diameter of circle = 3 in

-> radius (r) = 3/2 = 1.5 inches

[tex]Area \: of\:both \: circular \: regions \\ =2( \pi {r}^{2} ) \\ =2( 3.14 \times {1.5}^{2} ) \\ = 14.13 \: {in}^{2} \\ \\ P(dart \: landing \: in \: the \: shaded \: area) \\ = \frac{Area \: of \: both \: circular \: regions}{Area \: of \: rectangular \: region} \\ = \frac{14.13}{18} \\ = 0.785 \\ \approx \: 0.79\\=79\%[/tex]

the answer to this problem is 63

Answer:

A

Step-by-step explanation:

47+58=105 then you just subtract 7 from 75 and you get 68 than you divide 68 by 2

[tex]\\ \rm\Rrightarrow \sqrt{9-4\sqrt{5}}+\sqrt{5}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{9-8.8}+2.2[/tex]

[tex]\\ \rm\Rrightarrow \sqrt{0.2}+2.2[/tex]

[tex]\\ \rm\Rrightarrow 0.3+2.2[/tex]

[tex]\\ \rm\Rrightarrow 2.5[/tex]

[tex]\\ \rm\Rrightarrow 2(approx)[/tex]

Answer:

Algebraic "proof" that the solution is 2:

[tex]\sqrt{9-4\sqrt{5} }\:+\sqrt{5}[/tex]

[tex]=\sqrt{4-4\sqrt{5}+5 }\:+\sqrt{5}[/tex]

[tex]=\sqrt{2^2-4\sqrt{5}+(\sqrt{5})^2 }\:+\sqrt{5}[/tex]

[tex]=\sqrt{(2-\sqrt{5})^2 }\:+\sqrt{5}[/tex]

[tex]=(2-\sqrt{5})+\sqrt{5}[/tex]

[tex]=2[/tex]

However, this is not the correct mathematical solution to the problem.

The order of operations for [tex]\sqrt{(2-\sqrt{5})^2 }[/tex] dictate that the operation inside the parentheses must be carried out first.  

As [tex]2-\sqrt{5} < 0[/tex], then [tex](2-\sqrt{5})^2[/tex] will always be positive.

If  [tex](2-\sqrt{5})^2[/tex] is always positive, then [tex]\sqrt{(2-\sqrt{5})^2 }[/tex] will always be positive.

As √5 > 2 and [tex]\sqrt{(2-\sqrt{5})^2 } > 0[/tex] then [tex]\sqrt{(2-\sqrt{5})^2 }\:+\sqrt{5} > 2[/tex]

So mathematically, the actual solution to the expression is 2.47 (nearest hundredth) not 2.

Answer:

6,138

Step-by-step explanation:

Given the following:

Vocalist needed :

First day (a) = 6

For subsequent days : number doubles

Using the relation. :

Sn = a(r^n -1)/(r -1)

Where a = first term = 6

r = common ratio = r3/r2 = r4/r3

Since number doubles after each consecutive day, then ; r = 2, n = 10

Sn = 6(2^10 -1)/(2 -1)

Sn = 6(1024 - 1) / 1

Sn = 6144 - 6

Sn = 6138

Answer:

165 km

Step-by-step explanation:

We know the ratio of map distance to actual distance is 1 cm : 15 km

Multiplying both sides by 11, we have 11 cm : 165 km

Answer:

4(x+8)

Step-by-step explanation:

4(x+8)=  4 X x + 4 X 8

= 4x + 32

Answer: 4(x+8)

because 4 is the greatest common factor of 4 and 32. you distribute the 4 into the parenthesis and get 4x+32

Step-by-step explanation:

Answer:

the answer is 8

Step-by-step explanation:

first i did 4/5x2=8/5=8/10

Answer:

8.

Step-by-step explanation:

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Answer:

36

Step-by-step explanation:

Take 504 ounces of that lemonade and divide that into 14 cups.

And you get 36 ounces for each cup.

Answer:

36

Step-by-step explanation:

504 divided by 14 = 36

Answer:

y ≤ -3

Step-by-step explanation:

3y ≤ -9

y ≤ - 9/3

y ≤ -3

Please mark me the brainliest!?!

Answer:

32

Step-by-step explanation:

8(3 + 4) ← multiply each term in the parenthesis by 8

= 8(3) + 8(4)

= 24 + 32

Answer:

8 people

Step-by-step explanation:

120x=750+25x

120x-25x=750

95x=750

x=7.89

round up to 8 and check answer

(25×8)+750=950

950÷8 people =$118.75 per person

Answer:

1/64

Step-by-step explanation:

A negative exponent in essence brings your 2^6 value under 1. So your problem would now look like 1/(2^6). From there it is easy simplifying, knowing hat 2^6 = 64. So your answer turns out to be 1/64.

2 to the power minus 6 as a fraction would be equal to 1/64

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

A negative exponent in essence brings  2^6 value under 1.

So  1/(2^6).

From there it is easy simplifying, knowing that;

2^6 = 64.

Therefore, the answer turns out to be 1/64.

2 to the power minus 6 as a fraction would be equal to 1/64

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ2

Answer:

Just search from other websites

Step-by-step explanation:

easy

Answer:

it would be the last answer

Step-by-step explanation:

The central angle (127 degrees) is the angle at point K

The measures of JL and JML are 127 and 233 degrees, respectively

From the complete question, we have:

JL = 127 degrees.

The sum of angles at a point is 360 degrees

So, we have:

JML + 127 = 360

Subtract 127 from both sides

JML = 233

Hence, the measures of JL and JML are 127 and 233 degrees, respectively

Read more about circles and arcs at:

brainly.com/question/25305793

Answer:

The system of equations has no solution.

Step-by-step explanation:

set them equal to eachother. 3x+9=3x-4

Subtract 3x from both sides, giving you 9=-4, which is an equation that is not true because 9 does not equal negative 4. Therefore, there is no solution to this system.

Step-by-step explanation:

D.the set of all possible output values.

Answer:

1st: 5x

2nd: 6ft

Step-by-step explanation:

I really don't know how just got the answer right.

Answer:

5

Step-by-step explanation:

3+2=5

✎Question:.

[tex]Suzy \: has \: 3 \: apples \: and \: 2 \: cherries \: how\: much \: fruit \: does \: she \: have?[/tex]

✎Given:

✎Answer:

Total fruits=apples+cherries

=2+3

=5✓

Answer:

1/4

Step-by-step explanation:

The one of of four makes the fraction 1/4. Reason: MATH

PS:

PLS MARK ME AS BRAINLEST

Answer:

2^x

Step-by-step explanation:

Since we are needing to show how this is written, x is a power so it will be written small and will go to the upper right corner of the 2 :)

When you see a number like this, we are multiplying 2 by intself x times :)

Hope this helps!

Havea great day!!

Please rate and mark brainliest!!

Answer:

x = 20

Step-by-step explanation:

these are alternate interior angles, which means they're equal.

you can use that information to make this equation:

x + 40 = 3x

subtract x from both sides

40 = 2x

divide both sides by 2

20 = x

The exponential function is given by y = 13000(0.85)ˣ, the amount of rats in 3 years is 7984

An exponential function is in the form:

y = abˣ

Where y,x are variables, a is the initial value of y and b is the multiplication factor.

Let y represent the population of the chicken after x year.

The initial population of 13000 rats, hence a = 13000

The rat population declining by 15% every year. b = 1 - 0.15 = 0.85

The exponential function is given by y = 13000(0.85)ˣ

In 3 years; y = 13000(0.85)³ = 7984

The exponential function is given by y = 13000(0.85)ˣ, the amount of rats in 3 years is 7984

Find out more on exponential function at: https://brainly.com/question/12940982

Answer:

Step-by-step explanation:

Dado que la longitud, la profundidad y la altura de un cubo son iguales, podemos acortar el proceso elevando al cubo cualquiera de estas medidas. Sigamos con el ejemplo. Dado que la longitud de cualquier arista de este cubo es de 5 cm (2 pulgadas), podemos hallar el volumen multiplicando 5 x 5 x 5 (o 53) = 125.

Step-by-step explanation:

Use the systematic new AC Method to factor trinomials (Socratic Search)

y

=3x2+7x−6

=3(x + p)(x + q)

Converted trinomial:

y'

=x^2+7x−18

= (x + p')(x + q').

p' and q' have opposite signs.

Factor pairs of (ac = -18) --> (-2, 9). This sum is 7 = b. Then p' = -2 and q' = 9. Therefore,

p ='p/a

= -2/3

and

q ='q/a

=9/3

=3.

Factored form: y = 3(x - 2/3)(x + 3) = (3x - 2)(x + 3)

Answer:

temperature decreased by -3.5 degrees

Step-by-step explanation:

-14 3/4 = -14.75

-18 1/4 = -18.25

-14.75 + X = -18.25

X = -3.5 or -3 2/4