Find the value of x in the triangle shown below.

Answer:

The 6 rules/steps are below

Step-by-step explanation:

1. determine the smallest and largest number

2. Using the largest and smallest number, make sure that your graph can fit both of those numbers

3. identify the stems/tens place

4. fill in the leaves/ones place

5. Sort them from lowest to highest

6. Check

Answer:  

3/10

Step-by-step explanation:

Answer: the first one I’m pretty sure! Due to the hypotenuse being the longest length (13) and you would use the Pythagorean theorem

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

his mean is already 21

but if he has to score then 21

Answer:

-8q +18

Step-by-step explanation:

-3 ( 2q -6) -2q

Distribute

-6q+18-2q

Combine like terms

-8q +18

Answer:

D. 35

Step-by-step explanation:

20-5>25 = 20>25 incorrect

30-5>25 = 25>25 incorrect

35-5>25 = 20>25 correct

Answer:

864 m²

Step-by-step explanation:

The area of a rectangle is given by the product of the length and the width

let A be the total area

A = 100*120

A = 12000 m²

Calculate the area of the small rectangles

Let A"' be the area of the road

A"' =A-A'

A"' = 12000-11136

A"' = 864 m²

Answer:

The probability that computers work more than 41 minutes is 0.15866 or 15.87%.

Step-by-step explanation:

We are given that a computer tallied the time to work for 200 days and found it reasonable to the normal curve. The mean is 35 minutes, and the standard deviation with six minutes.

Let X = the time taken by computer to work for 200 days.

So, X ~ Normal([tex]\mu=35, \sigma^{2} =6^{2}[/tex])

The z-score probability distribution for the normal distribution is given by;

                               Z  =  [tex]\frac{X-\mu}{\sigma }[/tex]  ~ N(0,1)

where, [tex]\mu[/tex] = population mean time = 35 minutes

           [tex]\sigma[/tex] = standard deviation = 6 minutes

Now, the probability that computers work more than 41 minutes is given by = P(X > 41 minutes)

      P(X > 41 minutes) = P( [tex]\frac{X-\mu}{\sigma }[/tex] > [tex]\frac{41-35}{6 }[/tex] ) = P(Z > 1) = 1 - P(Z [tex]\leq[/tex] 1)

                                                                = 1 - 0.84134 = 0.15866

The above probability is calculated by looking at the value of x = 1 in the z table which has an area of 0.84134.

Answer:

72 square units.

Step-by-step explanation: You have to multiply both sides by the scale factor. 5 times 1.2 is 6, and 10 times 1.2 is 12. Then, multiply 6 by 12 to get your area of 66 square units.

Hey there! I'm happy to help!

First, let's add the hundreds and the tens.

300+80=380

We see that there is nothing in the ones place, so we keep our ones place 0 and we move onto adding the tenths.

380+0.9=380.9

We add the hundredths.

380.9+0.06=380.96

And finally, we add the thousandths.

380.96+0.001=380.961

Therefore, this number in standard form is 380.961.

Have a wonderful day! :D

Answer:

380.961

Step-by-step explanation:

300+80=380

0.9+0.06+0.001=.961

380+.961=380.961

since there is nothing in the ones place, keep it 0.

Simplify equation:     14 - 7y + 5 = 1 + 3y + 24

     simplify again:  19 - 7y = 25 + 3y

     add -25  and 7y to both sides:   -6 = 10y

     y = -6/10   or -0.6

2.  After 30 minutes, richie has delivered 1/3 of the papers, so they have to deliver the remaining 2/3.  Since they can deliver them all in 40 minutes, would the answer be 2/3 of 40?  I'm not sure about this.

Answer:

1/8

Step-by-step explanation:

Well there is a .5 chance you get each side so in order for them all to land on the same side you do .5^3 which is .125 or 1/8

Answer:

[tex]\huge\boxed{a_n=1\cdot(-2)^{n-1}}[/tex]

Step-by-step explanation:

[tex]a_n=a_1r^{n-1}[/tex]

We have the geometric sequence: 1, -2, 4, -8, ...

Find the common ratio:

[tex]r=\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=...=\dfrac{a_n}{a_{n-1}}[/tex]

[tex]a_1=1,\ a_2=-2[/tex]

substitute:

[tex]r=\dfrac{-2}{1}=-2[/tex]

Substitute

[tex]a_1=1;\ r=-1[/tex]

to

[tex]a_n=a_1r^{n-1}[/tex]

[tex]a_n=1\cdot(-2)^{n-1}[/tex]

Answer:

[tex]a_{n}=1 (-2)^{n-1}[/tex]

Step-by-step explanation:

Hi there!

Let's do it,

1)[tex]1,-2,4,-8[/tex]  

First let's find the q, the common ratio by dividing the second term by the anterior one.

-2:1 =-2

4:-2=-2

So the common ratio is -2. Plugging in on the General formula:

[tex]a_{n}=a_{1}q^{n-1}[/tex]

[tex]a_{n}=1 (-2)^{n-1}[/tex]

Answer:

b

Step-by-step explanation:

Answer:

x + (3 + 6y)

Step-by-step explanation:

This shows that you can regroup the numbers however you want with addition and multiplication, so this is the right answer.

Hope this helps!

Answer:

Angles 1 and 2 are both obtuse and adjacent.

Step-by-step explanation:

We can go about this systematically.

Acute: They are not acute. Looking at the angles, we can assume that they are greater than 90°.

Right: Greater than 90°, not equal, so not right.

Obtuse: Greater than 90°, so it's obtuse.

Adjacent: The angles are next to each other, so they are adjacent.

Vertical: They share a vertex, but they are not opposite to each other.

Complementary: They do not form a right angle together.

Supplementary: They do not form a straight angle together.

---

I hope this helps, let me know if you have any questions.

Correct Answers:

right

vertical

supplementary

I finished the quiz, it's correct. They're both 90 degree [right] angles, they're across from each other and therefore they're vertical, and they both add up to 180 degrees total, which means that they're supplementary.

Answer:

Step-by-step explanation:

[tex]10x - 15x + 5 = - 45 + 20[/tex]

Collect like terms

[tex] - 5x + 5 = - 45 + 20[/tex]

Calculate the sum

[tex] - 5x + 5 = - 25[/tex]

Move constant to RHS and change its sign

[tex] - 5x = - 25 - 5[/tex]

Calculate

[tex] - 5x = - 30[/tex]

Divide both sides of the equation by -5

[tex] \frac{ - 5x}{ - 5} = \frac{ - 30}{ - 5} [/tex]

Calculate

[tex]x = 6[/tex]

Hope this helps...

Best regards!!

Answer:

x = 6

Step-by-step explanation:

10x - 15x + 5 = -45 + 20

→ Simplify the 10x - 15x

-5x + 5 = -45 + 20

→ Simplify the -45 + 20

-5x + 5 = -25

→ Minus 5 both sides from to isolate -5x

-5x = -30

→ Divide by -5 from both sides from to isolate x

x = 6

Answer:

[tex]\boxed{92 \: \mathrm{mm}}[/tex]

Step-by-step explanation:

sin θ = [tex]\frac{opposite}{hypotenuse}[/tex]

sin (60) = [tex]\frac{80}{x}[/tex]

x = [tex]\frac{80}{\mathrm{sin} (60)}[/tex]

x = 92.37604307...

x ≈ 92

Using the base dimension and either given angle you can solve for x

Sin(angle) = opposite leg/ hypotenuse

Sin(60) = 80/x

X = 80/sin(60)

X = 80/ sqrt(3)/2

X = 160/3 x sqrt(3). (This is exact answer)

For a decimal answer: 160/3 = 53 1/3

Multiplied by sqrt(3) = 92.376 mm

Rounded to nearest mm = 92

Answer:

Square pyramid

Step-by-step explanation:

The flat square on the bottom is 1 face and there are 4 triangle faces.

The flat square on the bottom has 4 vertices and there is the pointy 1 at the top that holds the 4 triangles.

Hope dis helps,

Have a great day.

Answer:

Square Pyramid

Step-by-step explanation:

Only a square Pyramid has 5 faces and 5 vertices.  The right one!

A rectangular prism has 6 faces and 8 vertices.   Wrong

A cone has 1 face and 0 vertices.                          Wrong

A triangular prism has 5 faces and 6 vertices.      Wrong

Answer:

1/36

Step-by-step explanation:

1/6x1/6=1/36

Answer:

all real numbers are solutions

Step-by-step explanation:

1) simplify the equation 4x^2+12x+9=(2x+3)^2 is the same as 4x^2+12x+9=4x^2+12x+9

2)subtract 4x from both sides 12x+9=12+9

3)subtract 12x from both sides 9=9

4)subtract 9 from both sides 0=0

I really hope this helps!!!:)

Answer:

The correct option is;

[tex]4 \left (\dfrac{50 (50+1) (2\times 50+1)}{6} \right ) +3 \left (\dfrac{50(51) }{2} \right )[/tex]

Step-by-step explanation:

The given expression is presented as follows;

[tex]\sum\limits _{n = 1}^{50}n\times \left (4\cdot n + 3 \right )[/tex]

Which can be expanded into the following form;

[tex]\sum\limits _{n = 1}^{50} \left (4\cdot n^2 + 3 \cdot n\right ) = 4 \times \sum\limits _{n = 1}^{50} \left n^2 + 3 \times\sum\limits _{n = 1}^{50} n[/tex]

From which we have;

[tex]\sum\limits _{k = 1}^{n} \left k^2 = \dfrac{n \times (n+1) \times(2n+1)}{6}[/tex]

[tex]\sum\limits _{k = 1}^{n} \left k = \dfrac{n \times (n+1) }{2}[/tex]

Therefore, substituting the value of n = 50 we have;

[tex]\sum\limits _{n = 1}^{50} \left k^2 = \dfrac{50 \times (50+1) \times(2\cdot 50+1)}{6}[/tex]

[tex]\sum\limits _{k = 1}^{50} \left k = \dfrac{50 \times (50+1) }{2}[/tex]

Which gives;

[tex]4 \times \sum\limits _{n = 1}^{50} \left n^2 = 4 \times \dfrac{n \times (n+1) \times(2n+1)}{6} = 4 \times \dfrac{50 \times (50+1) \times(2 \times 50+1)}{6}[/tex]

[tex]3 \times\sum\limits _{n = 1}^{50} n = 3 \times \dfrac{n \times (n+1) }{2} = 3 \times \dfrac{50 \times (51) }{2}[/tex]

[tex]\sum\limits _{n = 1}^{50}n\times \left (4\cdot n + 3 \right ) = 4 \times \dfrac{50 \times (50+1) \times(2\times 50+1)}{6} +3 \times \dfrac{50 \times (51) }{2}[/tex]

Therefore, we have;

[tex]4 \left (\dfrac{50 (50+1) (2\times 50+1)}{6} \right ) +3 \left (\dfrac{50(51) }{2} \right )[/tex].

Answer: {-7, 2}

Step-by-step explanation: This type of equation is called a polynomial equation and in order to solve for x, we would first factor the left side.

Notice that the left side of the equation is a trinomial in a special

form that can be factored as he product of two binomials.

As our first term for each binomial, we have the factors of x², x · x

and as the second term, we have the factors of -14 that add to 5.

In this case, the factors are +7 and -2.

So we have (x + 7)(x - 2) = 0.

If (x + 7)(x - 2) = 0, that means that either x + 7 = 0 or x - 2 = 0.

Solving for x in each equation, we have x = -7 or x = 2.

We can write our answer as the solution set {-7, 2}.

The solution of quadratic equation is,

⇒ x = - 7, 2

We have to given that,

An equation is,

⇒ x² + 5x - 14 = 0

We can factorized the above quadratic equation as,

⇒ x² + 5x - 14 = 0

⇒ x² + (7 - 2)x - 14 = 0

⇒ x² + 7x - 2x - 14 = 0

⇒ x (x + 7) - 2 (x + 7) = 0

⇒ (x + 7) (x - 2) = 0

This gives,

x + 7 = 0

x = - 7

x - 2 = 0

x = 2

Therefore, The solution of quadratic equation is,

⇒ x = - 7, 2

Learn more about the quadratic equation visit:

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Answer:

A function is a relation in which each input has only one output.

Step-by-step explanation: In the relation , y is a function of x, because for each input x (1, 2, 3, or 0), there is only one output y. x is not a function of y, because the input y = 3 has multiple outputs: x = 1 and x = 2.

A function is a coordinate grid containing a U-shape with arrows on both ends that open to the right, and in which the bottom portion of the U passes through the origin which is the correct answer would be an option (A).

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

A function is a coordinate grid with a U-shaped pattern, arrows on both ends that open to the right, and the origin at the bottom of the U.

Because there is only one output of the relation, y, for any input x (1, 2, 3, or 0), is a function of x. Because the input y = 3 contains multiple outputs, including x = 1 and x = 2, x is not a function of y.

Therefore, the function is a coordinate grid containing a U-shape with arrows on both ends that open to the right, and in which the bottom portion of the U passes through the origin.

Hence, the correct answer would be option (A).

Learn more about the functions here:

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The lines around the angle is saying that they are corresponding. so the angle of b is 25

Answer:

[tex]\boxed{<b = 25}[/tex]

Step-by-step explanation:

Two angles in the same sector/segment have congruent measures.

So, <b = 25 (These are the two angles in the same segment).

Answer:

[tex]6x^2 - 6x + 5[/tex]

Step-by-step explanation:

Given

List of Options

Required

Which of the options has a degree of 2

The general format of a polynomial is

[tex]ax^n + bx^{n-1} + ..... + cx^{n-n}[/tex]

Where n represents the degree

In this case;

n = 2

Substitute 2 for n in expression above;

[tex]ax^n + bx^{n-1} + ..... + cx^{n-n}[/tex]

[tex]ax^2 + bx^{2-1} + ..... + cx^{2-2}[/tex]

[tex]ax^2 + bx^{1} + ..... + cx^{0}[/tex]

[tex]ax^2 + bx + c *1[/tex]

[tex]ax^2 + bx + c[/tex]

Comparing this format to the list of given options; the option with the same format is: [tex]6x^2 - 6x + 5[/tex]

Where [tex]a = 6[/tex]; [tex]b = -6[/tex] and [tex]c = 5[/tex]

Hence, the polynomial with a degree of 2 is [tex]6x^2 - 6x + 5[/tex]

Answer:

6x^2-6x+5

Step-by-step explanation:

Answer:

A.) P^2 - 10p + 24 = 0

B.) 6 or 4 dollars

Step-by-step explanation:

Given that a company’s weekly revenue, in thousands, is modeled by the equation

R = -p2 + 14p,

where p is the price of the product it makes. The company is considering hiring an outside source to distribute its products, which will cost the company 4p + 24 thousand dollars per week.

If the company want to break even, the cost of hiring distributors will be equal to the revenue per week.

Therefore,

-P^2 + 14p = 4p + 24

Collect the like terms

-P^2 + 14p - 4p - 24 = 0

-P^2 + 10p - 24 = 0

Multiply all by minus sign

P^2 - 10p + 24 = 0

B.) To find P, factorize the equation above.

P^2 - 10p + 24 = 0

- 6 x - 4 = 24 and - 6 - 4 = 10

P^2 - 4p - 6p + 24 = 0

P( p - 4 ) - 6( p - 4 )

P - 6 = 0 or p - 4 = 0

P = 6 or 4

Substitute both back into the equation to test their authenticates

When p = 6

6^2 - 10(6) + 24 = 0

When p = 4

4^2 - 10(4) + 24 = 0

Answer:

The answer is

None of the above

Hope this helps you

Answer:

None of the above

Step-by-step explanation:

Answer: 169 m²

Step-by-step explanation:

The area of a square can be found by taking a side length(13), and squaring it, to get, in this case, 139.

Hope it helps <3

Answer:

169 m²

Step-by-step explanation:

To find the area of a square, we can apply a formula.

[tex]A=s^2[/tex]

[tex]A=area[/tex]

[tex]s=side \: length[/tex]

The side length is given 13 meters.

[tex]A=13^2[/tex]

Solve for [tex]A[/tex].

[tex]A=13 \times 13[/tex]

[tex]A=169[/tex]

The area of the square is 169 meters squared.