simplify the following 2 √5 *5 √5

Answer:

9.2 ft

Step-by-step explanation:

The shape is a triangle, the 11 ft is your hypotenuse

You need to use the Pythagorean Theorem!

a^2 + b^2 = c^2 (solve for a, the missing length that they ask for)

so --->

a^2 + (6^2) = 11^2

      a^2 + 36 = 121

             ~subtract 36 to the right side~

               a^2 = 85

now find the square root of 85:

               a = 9.21954

        round it to the nearest tenth:

                   a = 9.2

final answer: 9.2 ft

hope this helpsss

Step-by-step explanation:

Apply Pythagoren Theorem.

[tex] {x}^{2} + {y}^{2} = {c}^{2} [/tex]

where x and y is the legs (the sides that form a right triangle) and c is the hypotenuse.

the legs are 6 and our unknown. so let x represent the unknown

[tex] {6}^{2} + {x}^{2} = {11}^{2} [/tex]

[tex]36 + {x}^{2} = 121[/tex]

[tex] {x}^{2} = 85[/tex]

[tex]x = \sqrt{85} [/tex]

x=9.2

Answer:

A is correct. Car D will go furthest.

Step-by-step explanation:

Answer:

252 blue sweets

Step-by-step explanation:

red : blue

3 : 7 ( x4 )

12 : 28

blue : green

4 : 5 ( x7 )

28 : 35

red : blue : green

12 : 28 : 35

12 + 28 + 35 = 75

Blue Sweets:

675 x 28/75 = 252

Answer:

2.5

Step-by-step explanation:

4*2.5= 10

8* 2.5=20

how i got 2.5 is by doing 10 divided by 4

Answer:

2.5

4*2.5= 10

8* 2.5=20

how i got 2.5 is by doing 10 divided by 4

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

-2(-12 - u )

u = -15

-2 ( -12 - (-15))

remove parenthesis.

-2 ( -12 + 15 )

add -12 and 15

-2 ( 3 )

multiply -2 and 3

= -6

Step-by-step explanation:

-2(-12 - u) = -2(-12 + 15) = -2(3) = -6

Problem 1 (on the left)

[tex]10^2+12^2 = \boldsymbol{244}\\\\14^2 = \boldsymbol{196}\\\\\text{What kind of triangle?} \textbf{ Acute}[/tex]

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

Explanation:

The converse of the pythagorean theorem can be used to determine what kind of triangle we're dealing with.

Here are 3 important rules to have in your notes:

[tex]\cdot \text{If } a^2+b^2 > c^2 \text{ then the triangle is } \underline{\text{acute}}\\\\\ \cdot \text{If } a^2+b^2 < c^2 \text{ then the triangle is } \underline{\text{obtuse}}\\\\\cdot \text{If } a^2+b^2 = c^2 \text{ then the triangle is a } \underline{\text{right}} \text{ triangle}\\\\[/tex]

The third rule is probably the most familiar as it's the pythagorean theorem itself.

In this case, we have [tex]a^2+b^2 = 10^2+12^2 = 244[/tex] larger than [tex]c^2 = 14^2 = 196[/tex], which fits the first rule mentioned.

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

Problem 2 (on the right)

[tex]8^2+15^2 = \boldsymbol{289}\\\\17^2 = \boldsymbol{289}\\\\\text{What kind of triangle?} \textbf{ Right}[/tex]

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

Explanation:

We follow the same idea as problem 1. This time, both [tex]a^2+b^2[/tex] and [tex]c^2[/tex] result in the same value (289). Therefore, [tex]a^2+b^2 = c^2[/tex] is a true equation, and we go for the third rule mentioned earlier. An 8-15-17 right triangle is one of the infinitely many pythagorean triples.

Answer:

I'm pretty sure it's, "verify that Sn is valid for n=1". I think... lol.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Using DMAS, let's solve.

Conclusion:

Therefore, the answer is:

Hoped this helped.

[tex]GeniusUser[/tex]

Answer:

Jenny wants to work out the area of

the trapezium.

13 m

She writes:

13 m

N

12 m

area =-

Step-by-step explanation:

Answer:

y = -2x + 5

Step-by-step explanation:

Slope = -2

m = slope

y-intercept = 5

b = 5

y = mx + b

y = -2x + 5

Answer: 3

Step-by-step explanation:

Answer:

Regan ate more

Step-by-step explanation:

maggie: 5/8 of pizza to start

eats  1/4 of 5/8

1/4 times 5/8 gives 5/32

regan: 7/12 of pizza to start

eats 2/3 of 7/12

2/3 times 7/12 gives 14/36 or 7/18

7/18 > 5/32

Answer: Reagan

Step-by-step explanation: because 2/3 is more than 1/4

We want to see which ordered pair is a solution for the given line. We will see that none of the points is a solution for the given equation.

So, if you have a graph this is rater easy.

In a point (x, y) the first value represents the horizontal displacement and the second represents the vertical displacement.

So, to see if the points are solutions of the line, you just need to see if the point lies on the graphed line.

Below you can see the graph, there you also can see all the given points.

There you can see that none of the given points lie on the line, so none of these is in the solution set of the line (you can also check this by evaluating the equation in the given points).

If you want to learn more, you can read:

https://brainly.com/question/11967677

Answer: ~9.51 kilograms each.

Step-by-step explanation: 723/76=9.5131

Answer:

1/4, 1/2, 5/8

Step-by-step explanation:

1/4, 1/2, 5/8

Answer:

1/4,1/2,5/8

Step-by-step explanation:

because 1/2 is 0.25 and 1/2 is 0.50

Answer:

its half way correct. get rid of the dot on the 2.

Step-by-step explanation:

the point (2, -6) is where the dot is supposed to be located. the 2 is the x point. and the -6 is the y point. so u go to the right 2 and then u go down 6. so the point is where the lowest dot is located

Answer:

M=F/A

Hope this helps

Answer:

  (1, 3), (2, 6), (3, 9)

Step-by-step explanation:

Dividing the first given ratio by 7 gives ...

  7/7 : 21/7 = 1 : 3

Multiplying this by 2 and 3 gives the other ratios you want.

  = 2(1) : 2(3) = 2 : 6

  = 3(1) : 3(3) = 3 : 9

The equivalent ratios are (1, 3), (2, 6), (3, 9).

Answer:

Slope: 1/2

Step-by-step explanation:

Look at the file.

Answer:

6.) x=5/4

7.) x=-6

Also, since your worksheet in paratheses says it would help to graph number 7, I attached a graph for it. :)

Step-by-step explanation:

Just ask!

Hope this helps. :))

Sorry if I'm wrong.

~Happy Holidays!!~ o(*￣▽￣*)ブ

Answer:

20

Step-by-step explanation:

Answer:

20 full bags of chips

Step-by-step explanation:

344 chips / 17 chips = 20 full bags (with 4 chips left over)

Answer:

5/9

Step-by-step explanation:

dividing (5/12) by (3/4) we get,

(5/12) ÷ (3/4)

(5/12) × (4/3)

(5 /3 * 3)

(5/9) final answer

Answer:

The equivalent expressions are;

1. 8 (y - 7) = 8y - 56

2. - 2 (x + 7) = - 2x - 14

3. 3/5x + 2/5 + 3/5x = (6x + 2) / 5

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expressions are;

1. 8 (y - 7)

2. - 2 (x + 7)

3. 3/5x + 2/5 + 3/5x

Now,

Solve all the expression as;

1. 8 (y - 7) = 8 × y - 8 × 7

              = 8y - 56

Thus,  8 (y - 7) = 8y - 56

2. - 2 (x + 7) = - 2 × x - 2 × 7

                  = - 2x - 14

Thus, - 2 (x + 7) = - 2x - 14

3. 3/5x + 2/5 + 3/5x = 3/5x + 3/5x + 2/5

                              = (3x + 3x)/ 5 + 2/5

                              = 6x / 5 + 2/ 5

                              = (6x + 2) / 5

Thus, 3/5x + 2/5 + 3/5x = (6x + 2) / 5

Therefore, The equivalent expressions are;

1. 8 (y - 7) = 8y - 56

2. - 2 (x + 7) = - 2x - 14

3. 3/5x + 2/5 + 3/5x = (6x + 2) / 5

Learn more about the expression visit:

https://brainly.com/question/25968875

#SPJ2

Answer:

  6x² -xy -35y²

Step-by-step explanation:

Use the distributive property, and combine terms.

  (2x +5y)(3x -7y) -2xy

  = 2x(3x -7y) +5y(3x -7y) -2xy

  = 6x² -14xy +15xy -35y² -2xy

  = 6x² +(-14 +15 -2)xy -35y²

  = 6x² -xy -35y²

Answer:

[tex]x^2(x - 2)(x + 2)(x^2 + 4)[/tex]

Step-by-step explanation:

[tex]x^6-16x^2[/tex]

[tex]x^2\left(x^4-16\right)[/tex]

[tex]x^2\left(x^2+4\right)\left(x+2\right)\left(x-2\right)[/tex]

[tex]\boxed{\bold{HOPE \:IT \:HELPS!\: :)}}[/tex]

The required expression that is equivalent to the given expression is x²(x - 2)(x + 2)(x² + 4). Option C is correct.

Given that,
To determine the equivalent expression equivalent to  x⁶ - 16x²

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
= x⁶ - 16x²

= x²[x⁴- 16]      
= x²[x² + 4] [x² - 4]    [ Following the rule (a² - b²) = (a + b)(a - b)}
= x²[x² + 4](x + 2)(x - 2)

Thus, the required expression that is equivalent to the given expression is x²(x - 2)(x + 2)(x² + 4). Option C is correct.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

Answer:

5.4

5.465

5.48

5.51

5.529

5.596

Step-by-step explanation:

5.465 is 0.065 higher than 5.4

5.48 is 0.015 higher than 5.465

5.51 is 0.03 higher than 5.48

5.529 is 0.019 higher than 5.51

and 5.596 is 0.067 higher than 5.529

Round off to one decimal

Order

5.400<5.465<5.480<5.510<5.529<5.596

Answer:

a_n=a_1+(n-1)d

Step-by-step explanation:

sorry for late anwser

Answer:

Part A: 60

5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60.

12, 24, 36, 48, 60.

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

Part B: 9

81 / 72 = 9

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

Part C: 9 (8 + 9)

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

GCF of 72 and 81 is 9...

Divide 72 by 9 and get 8.

Divide 81 by 9 and get 9.

To check multiply 9 with 8, and multiply 9 by 9.