Find the length of the third side. If necessary, round to the nearest tenth

Pythagorean Theorem (Rounding)

Answer:

See below ↓↓↓↓

Step-by-step explanation:

Set 1

[tex]\left[\begin{array}{ccc}x&y\\1&13\\2&6\\3&1\\4&-2\\5&-3\end{array}\right][/tex]

⇒ Quadratic [As it reduces at an unusual rate : -7, -5, -3, etc.]

Set 2

[tex]\left[\begin{array}{ccc}x&y\\-5&-34\\-4&-29\\-3&-24\\-2&-19\\-1&-14\end{array}\right][/tex]

⇒ y = 5x - 9

⇒ Linear

Set 3

[tex]\left[\begin{array}{ccc}x&y\\-2&0.0625\\-1&0.25\\0&1\\1&4\\2&16\end{array}\right][/tex]

⇒ Exponential [As seen by the perfect squares 0.0625, 0.25, 1, 4, 9..]

Set 4

[tex]\left[\begin{array}{ccc}x&y\\-6&28\\-3&19\\-1&13\\0&10\\3&1\end{array}\right][/tex]

⇒ Quadratic [As it reduces at an unusual rate : -9, -6, -3, etc.]

Answer:

17

Step-by-step explanation:

Answer:

Factor the following

[tex]\hookrightarrow \sf 9x^4+15x^3-12x[/tex]

rewrite the following

[tex]\hookrightarrow \sf 3\cdot \:3x^3x+3\cdot \:5x^2x-3\cdot \:4x[/tex]

factor out the common term 3(x)

[tex]\hookrightarrow \sf 3x\left(3x^3+5x^2-4\right)[/tex]

check for answer through multiplication

[tex]\dashrightarrow \sf 3x\left(3x^3+5x^2-4\right)[/tex]

[tex]\dashrightarrow \sf 3x\left(3x^3)+3x(5x^2)+3x(-4)[/tex]

[tex]\sf \dashrightarrow 9x^4+15x^3-12x[/tex]

Answer:

48

Step-by-step explanation:

10+5+18+15

pls mark brainliest

Answer:

40 m/hr

Step-by-step explanation:

6 hours * 80 m/hr      +     6 hours * x m/hr  = 720 miles

6 * 80     +    6 * x   = 720

x = 40 m/hr

Answer:

x = 3 ± 2[tex]\sqrt{2}[/tex]

Step-by-step explanation:

x² - 6x + 1 = 0 ( subtract 1 from both sides )

x² - 6x = - 1

to complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 3)x + 9 = - 1 + 9

(x - 3)² = 8 ( take square root of both sides )

x - 3 = ± [tex]\sqrt{8}[/tex] = ± 2[tex]\sqrt{2}[/tex] ( add 3 to both sides )

x = 3 ± 2[tex]\sqrt{2}[/tex]

Answer:

x: 4metres

y: 8metres

Step-by-step explanation:

using scale 1:4

x:16 ÷ 4

y: 2×4

The equation that can be ued to solve for the width of the rectangular frame is 2x² + 14x - 40 = 0.

A rectangle is a 2-dimensional quadrilateral with four right angles.

Area of a rectangle = length x width

(2x + 4) x (2x + 10) = 120

Expand the brackets

4x² + 20x + 8x + 40 = 120

Add similar terms

4x² +28x + 40 = 120

4x² +28x - 80 = 0

Divide through by 2

2x² + 14x - 40 = 0

To learn more about how to calculate the area of a rectangle, please check: https://brainly.com/question/16595449

Answer:

Sometimes, data can be better understood when presented by a graph than by a table because the graph can reveal a trend or comparison.

The number of different topping combination illustrates combination

Ross have 6 different topping combination to select from

The given parameters are:

Extra toppings, n = 4

Toppings to select, r = 2

The number of extra topping that Ross can select is then calculated  using the following combination formula

Toppings = nCr

This gives

Toppings = 4C2

Evaluate the combination expression

Toppings = 6

Hence, Ross have 6 different topping combination to select from

Read more about combination at:

https://brainly.com/question/11732255

Answer:

Step-by-step explanation:

Properties of a parallelogram

Use the properties to find the required parameters

1) Find m∠YXV

2) Find m∠Y

3) Find x

Answer:

m∠YXV = 56°

m∠Y = 84°

x = 3

Step-by-step explanation:

Sum of interior angles of a triangle = 180°

⇒ m∠W + m∠WVX + m∠VXW = 180°

⇒ 84° + m∠WVX + 40° = 180°

⇒ m∠WVX = 56°

As VW ║ YX  and  YV ║ XW  then  m∠WVX = m∠YXV

So m∠YXV = 56°

In a parallelogram, opposite angles are congruent

⇒ m∠Y = m∠W

⇒ m∠Y = 84°

In a parallelogram, opposite sides lengths are congruent

⇒ VW = YX

⇒ 2x = 6

⇒ x = 6 ÷ 2

⇒ x = 3

Using it's concept, it is found that the probability of randomly choosing a number either divisible by 5 or divisible by 3 is given by:

B) 7/16

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem:

Hence the probability is given by:

p = 14/32 = 7/16.

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ1

Answer:

1-i and -1+i

Step-by-step explanation:

We are to find the square roots of [tex]z=0-2i[/tex]. First, convert from Cartesian to polar form:

[tex]r=\sqrt{a^2+b^2}\\r=\sqrt{0^2+(-2)^2}\\r=\sqrt{0+4}\\r=\sqrt{4}\\r=2[/tex]

[tex]\theta=tan^{-1}(\frac{b}{a})\\ \theta=tan^{-1}(\frac{-2}{0})\\\theta=\frac{3\pi}{2}[/tex]

[tex]z=2(\cos\frac{3\pi}{2}+i\sin\frac{3\pi}{2})[/tex]

Next, use the formula [tex]\displaystyle \sqrt[n]{r}\biggr[\cis\biggr(\frac{\theta+2\pi k}{n}\biggr)\biggr][/tex] where [tex]\displaystyle k=0,1,2,...\:,n-1[/tex] to find the square roots:

When k=1

[tex]\displaystyle \sqrt[2]{2}\biggr[cis\biggr(\frac{\frac{3\pi}{2}+2\pi(1)}{2}\biggr)\biggr][/tex]

[tex]\displaystyle \sqrt{2}\biggr[cis\biggr(\frac{3\pi}{4}+\pi\biggr)\biggr][/tex]

[tex]\sqrt{2}\biggr(cis\frac{7\pi}{4}\biggr)[/tex]

[tex]\sqrt{2}(\cos\frac{7\pi}{4}+i\sin\frac{7\pi}{4})\\ \\\sqrt{2}(\frac{\sqrt{2}}{2}-\frac{\sqrt{2}}{2}i)\\ \\1-i[/tex]

When k=0

[tex]\displaystyle \sqrt[2]{2}\biggr[cis\biggr(\frac{\frac{3\pi}{2}+2\pi(0)}{2}\biggr)\biggr][/tex]

[tex]\sqrt{2}\biggr(cis\frac{3\pi}{4}\biggr)[/tex]

[tex]\sqrt{2}(\cos\frac{3\pi}{4}+i\sin\frac{3\pi}{4})\\ \\\sqrt{2}(-\frac{\sqrt{2}}{2}+\frac{\sqrt{2}}{2}i)\\ \\-1+i[/tex]

Thus, the square roots of -2i are 1-i and -1+i

113.04 cm²

==========

The figure given is a sphere with a radius of 3 cm

formula for surface area of sphere : 4πr²

Solve:

⇒ 4πr²

⇒ 4(3.14)(3)²

⇒ 113.04 cm²

113.04 cm²

Solving it:

The SA given is 4πr²

To get your answer

First, you multiply these

4πr²

Add/ Plug-in the radius:

4(3.14)(3)²

And this is your answer:

113.04 cm²

I have attached an image showing this is the correct answer!

u²= s²+t²

= 4.3²+4.9²

= 42.5

u= V42.5

= V170 /2

≈6.52

Answer:

6.519 cm

Step-by-step explanation:

Mmkay, so, you have to use the Pythagorean Theorem to find the actual length, which is a^2 + b^2 = c^2

a = 4.9 cm

b = 4.3 cm

4.9^2 is 24.01

4.3^2 is 18.49

Now add the two together:

24.01 + 18.49 = 42.5

Finally, we need to find the square root of 42.5

sqrt(42.5) = 6.519 cm

(rounding to nearest thousandth cuz it said so right by the answer box lol)

Hope this helped :D

Answer: x = 12

Step-by-step explanation:

9 + (x/4) = 12

x/4 = 3

x = 12

Answer:

24x^2+15y^2-38xy

Step-by-step explanation:

(4x-3y)(6x-5y)

= 24x^2-20xy-18xy+15y^2

=24x^2+15y^2-38xy

Answer:

70.38 cm

Step-by-step explanation:

π = 3.14

Area of a circle = πr^2

394.38 = πr^2

125.598726 = r^2

r = 11.2070837 cm

Circumference = 2πr

C = 70.3804856 cm

2³+3²-3×4-5²÷5+(7×4)

= 8+9-3×4-25÷5+7×4

=8+9-12-5+28

=28

Answer:

6th term = 23,552

Step-by-step explanation:

Mutilyby 4 from left to right

368/92 =4---------------   92x4= 368

92/23=4--------------- 23x4 =92

1) 23

2) 23x4=    92

3) 92x4=386

4) 386x4=1,472

 ------and so on                          

Answer:

Step-by-step explanation:

Answer:So for number 35 you will put the qwestion in a calculator... now you have your answer so put that ansor to the side, and solve all of the ones in the answer choices and see which one has a common answer from the one in the problem

Step-by-step explanation:

Answer:

Simplifying

2.5x + -5 = 5

Reorder the terms:

-5 + 2.5x = 5

Solving

-5 + 2.5x = 5

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '5' to each side of the equation.

-5 + 5 + 2.5x = 5 + 5

Combine like terms: -5 + 5 = 0

0 + 2.5x = 5 + 5

2.5x = 5 + 5

Combine like terms: 5 + 5 = 10

2.5x = 10

Divide each side by '2.5'.

x = 4

Simplifying

x = 4

Step-by-step explanation:

Answer:

x=4

Step-by-step explanation:

2.5x-5=5

isolate the variable to find your answer

2.5x-5=5

      +5>+5

2.5x=10

divide by 2.5

10/2.5=4

x=4

The system of equations 6x+4y=14 and 9x+6y=c are linear equations

The value of c that makes the system have infinitely many solutions is 21

The system of equations are given as:

6x+4y=14

9x+6y=c

Divide through the second equation by 3

3x + 2y = c/3

Multiply through by 2

6x + 4y = 2c/3

Subtract the first equation from the above equation

6x - 6x + 4y - 4y = 2c/3 - 14

Evaluate the differences

2c/3 - 14 = 0

Add 14 to both sides

2c/3 = 14

Multiply by 3/2

c = 21

Hence, the value of c that makes the system have infinitely many solutions is 21

Read more about system of equations at:

https://brainly.com/question/14323743

Answer:

[tex]she \: used \: 1.695 \: kg \: of \: flour.[/tex]

Step-by-step explanation:

[tex]2.64 - 0.945 = 1.695[/tex]

Answer:

k + 104

Step-by-step explanation:

k + 104

Answer:

9.9

Is the answer to the question

Answer:

40

Step-by-step explanation:

As it is stated, the triangles are similar to find the length of AB we can use the proportion of sides'

Let x represent the missing length

BD/AE = CD/CE

(2.76)/22 = 5/x cross multiply expressions:

x(2.75) = 110 divide both sides by 2.75

x = 40

Answer:

its all about reletives so if u take the number then multiply by five u get 56.3

Step-by-step explanation:

u know