Find the missing Side of the triangle

Find The Missing Side Of The Triangle

Answers

Answer 1

Answer:

2√15

Step-by-step explanation:

Use the Pythagorean theorem.

2² + x² = 8²

x² + 4 = 64

x² = 60

x² = 4 * 15

x = 2√15


Related Questions

Solve 2x2 – 3x = 12 using the quadratic formula.

Answers

Quadratic Formula: (-b +/- sqrt(b^2 - 4ac)) / 2a

2x^2 - 3x = 12

2x^2 - 3x - 12 = 0

a = 2

b = -3

c = -12

(--3 +/- sqrt( (-3)^2 - 4(2)(-12) )) / 2(2)

3 +/- sqrt( 9 + 96 ) / 4

3 +/- sqrt(105) / 4

Answers: [tex]\frac{3 + \sqrt{105} }{4}[/tex], [tex]\frac{3 - \sqrt{105} }{4}[/tex]

Hope this helps!

what is 9 divided by 7

Answers

Answer: 1.28571428571. This number is infinite.

Step-by-step explanation:

Answer:

1.29 rounded

Step-by-step explanation:

Calculate the Standard Deviation of the following set of data. 14, 15, 16, 16, 9, 3, 16, 20, 29, 12

Answers

Answer:

6,78

Step-by-step explanat

ion:data size :10

Sample mean:15

Standard sample deviation :6,782

Answer:

6,78

Step-by-step explanation:

what is the answer I need help?

Answers

Answer:

8 1/8 units^3

Step-by-step explanation:

This figure is a rectangular prism, and the volume of a rectangular prism is given by the formula:

lwh

But since we have the area of the base snd the height of the figure, there is also one formula that we can use to find the volume:

bh

Which means area of base times the height.

USE THE FORMULA bh:

16 1/4 x 1/2

= 65/4 x 1/2

= 65/8

SIMPLIFIED: 8 1/8

Volume is measured in cubic units

SO YOUR ANSWER IS 8 1/8 units^3

Police sometimes measure shoe prints at crime scenes so that they can learn something about criminals. Listed below are shoe print​ lengths, foot​ lengths, and heights of males. Construct a​ scatterplot, find the value of the linear correlation coefficient​ r, and find the​ P-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Based on these​ results, does it appear that police can use a shoe print length to estimate the height of a​ male? Use a significance level of α=0.01

Answers

It does not appear that police can use a shoe print length to estimate the height of a​ male.

The given parameters are:

[tex]\begin{array}{cccccc}{Shoe\ Print} & {28.6} & {29.4} & {32.2} & {32.4} & {27.3} \ \\ Height (cm) & {172.5} & {176.7} & {188.4} & {170.1} & {179.2} \ \end{array}[/tex]

Rewrite as:

[tex]\begin{array}{cccccc}{x} & {28.6} & {29.4} & {32.2} & {32.4} & {27.3} \ \\ y & {172.5} & {176.7} & {188.4} & {170.1} & {179.2} \ \end{array}[/tex]

See attachment for scatter plot

To determine the correlation coefficient, we extend the table as follows:

[tex]\begin{array}{cccccc}{x} & {28.6} & {29.4} & {32.2} & {32.4} & {27.3} & y & {172.5} & {176.7} & {188.4} & {170.1} & {179.2} & x^2 & {817.96} & {864.36} & {1036.84} & {1049.76} & {745.29} & y^2 & {29756.25} & {31222.89} & {35494.56} & {28934.01} & {32112.64} & x \times y & {4933.5} & {5194.98} & {6066.48} & {5511.24} & {4892.16} \ \end{array}[/tex]

The correlation coefficient (r) is:

[tex]r = \frac{\sum(x - \bar x)(y - \bar y)}{\sqrt{SS_x * SS_y}}[/tex]

We have:

[tex]n =5[/tex]

[tex]\sum xy =4933.5+5194.98+6066.48+5511.24+4892.16 =26598.36[/tex]

[tex]\sum x =28.6+29.4+32.2+32.4+27.3=149.9[/tex]

[tex]\sum y =172.5+176.7+188.4+170.1+179.2=886.9[/tex]

[tex]\sum x^2 =817.96+864.36+1036.84+1049.76+745.29=4514.21[/tex]

[tex]\sum y^2 =29756.25+31222.89+35494.56+28934.01+32112.64=157520.35[/tex]

Calculate mean of x and y

[tex]\bar x = \frac{\sum x}{n} = \frac{149.9}{5} = 29.98[/tex]

[tex]\bar y = \frac{\sum y}{n} = \frac{886.9}{5} = 177.38[/tex]

Calculate SSx and SSy

[tex]SS_x = \sum (x - \bar x)^2 =(28.6-29.98)^2 + (29.4-29.98)^2 + (32.2-29.98)^2 + (32.4-29.98)^2 + (27.3-29.98)^2 =20.208[/tex]

[tex]SS_y = \sum (y - \bar x)^2 =(172.5-177.38)^2 + (176.7-177.38)^2 + (188.4-177.38)^2 + (170.1-177.38)^2 + (179.2-177.38)^2 =202.028[/tex]

Calculate [tex]\sum(x - \bar x)(y - \bar y)[/tex]

[tex]\sum(x - \bar x)(y - \bar y) = (28.6-29.98)*(172.5-177.38) + (29.4-29.98)*(176.7-177.38) + (32.2-29.98)*(188.4-177.38) + (32.4-29.98)*(170.1-177.38) + (27.3-29.98) *(179.2-177.38) =9.098[/tex]

So:

[tex]r = \frac{\sum(x - \bar x)(y - \bar y)}{\sqrt{SS_x * SS_y}}[/tex]

[tex]r = \frac{9.098}{\sqrt{20.208 * 202.028}}[/tex]

[tex]r = \frac{9.098}{\sqrt{4082.581824}}[/tex]

[tex]r = \frac{9.098}{63.90}[/tex]

[tex]r = 0.142[/tex]

Calculate test statistic:

[tex]t = \frac{r}{\sqrt{\frac{1 - r^2}{n-2}}}[/tex]

[tex]t = \frac{0.142}{\sqrt{\frac{1 - 0.142^2}{5-2}}}[/tex]

[tex]t = \frac{0.142}{\sqrt{\frac{0.979836}{3}}}[/tex]

[tex]t = \frac{0.142}{\sqrt{0.326612}}[/tex]

[tex]t = \frac{0.142}{0.5715}[/tex]

[tex]t = 0.248[/tex]

Calculate the degrees of freedom

[tex]df = n - 2 = 5 - 2 = 3[/tex]

The [tex]t_{\alpha/2}[/tex] value at:

[tex]df =3[/tex]

[tex]t = 0.248[/tex]

[tex]\alpha = 0.01[/tex]

The value is:

[tex]t_{0.01/2} = \±5.841[/tex]

This means that we reject the null hypothesis if the t value is not between -5.841 and 5.841

We calculate the t value as:

[tex]t = 0.248[/tex]

[tex]-5.841 < 0.248 < 5.841[/tex]

Hence, we do not reject the null hypothesis because they do not appear to have any correlation.

Read more about regression at:

https://brainly.com/question/18405415

Distance between two points khan academy

Answers

Answer:

√29

Step-by-step explanation:

This is due to A^2+b^2=c^2. you know that side a and b are 2 and 5, so it beocmes 25+4/=c^2, which means that 29=c^2, and you root it to get rid of the power of 2, so you obtain c=√29

I can confirm that the Answer above me is correct !

Please help please !!!!

Answers

Answer:

[tex]14<15[/tex]

[tex]0<2x+10<62[/tex]

[tex]-10<2x<52[/tex]

[tex]-5<x<26[/tex]

~OAmalOHopeO

a new automobile cost 11300 which is 100 more than 25 times a certain number what is the number​

Answers

Answer:

The number is 448.

Step-by-step explanation:

Hope it helps

Factor the polynomial expression 3x4 + 24x.

Answers

Answer:

3x ( x+2)(x^2−2x+4)

Step-by-step explanation:

3x^4 + 24x.

Factor out the greatest common factor

3x*x^3 + 3x*8

3x(x^3+8)

Then factor the cubic term

The sum of cubes is a^3+b^3=(a+b)(a^2−ab+b^2)

3x ( x+2)(x^2−2x+4)

A six-sided die is rolled ten times. What is the probability that the die will show an even number at most eight times?

Answers

P(even)=1/2. P(odd)=1/2. Let x= number of even in ten rolls

P(x<=8) = 1-P(x>=9) = 1-[C(10,9)(1/2)^9 *(1/2)^1 + C(10,10)(1/2)*(1/2)^0]

=1-[C(10,9)(1/2)^10 +C(10,10)(1/2)^10]

=1-(1/2)^10[10+1

=1–11/1024

=1013/1024

155 ° 35 ° x °
x = ? °

Answers

x=35

vertical opposite angles are equal.

HELP ME OUT !!! im stressing out keep getting it wrong

instructions find HM = 25 and mhm = 66 , find x and y

Answers

Answer:

x=24, y = 33/360 π×24^2/(sin^2(33° (degrees)))

Step-by-step explanation:

notice that x = MK = HM = 24.

Let the center of the circle be C.

Also, notice the radius of the circle can be expressed as the hypotenuse of HMC. Using some trig, we figure out that the radius is 24/sin(33 degrees).

Using the radius of the circle, we can figure out the circumference. The circumference is pi*r^2=(24/sin(33 degrees))^2*pi=pi*24^2/(sin(33 degrees)^2)

Lastly, notice that y = 33/360*circumference = 33/360 π×24^2/(sin^2(33° (degrees)))

hopefully this helped

in how many ways can all the numbers 1,2,3,4,5,6, be written on the squares of hte picture so that there are no adjacent squares in which the differene of the numebrs written is 3

Answers

Answer:

1  3 5 2 4 6

Step-by-step explanation:

A truck is said to get 18 miles per gallon on a highway, but this value can fluctuate, at most, by 4 miles per gallon. Which of the following absolute value inequalities matches this scenario? Question 23 options: |x + 18| ≤ 4 |x – 18| ≤ 4 |x – 4| > 18 |x + 18| > 4

Answers

Answer:

the correct answer is |x – 18| ≤ 4

just took the test

Step-by-step explanation:

please help me with this question!

Answers

I am un able to see the photo please re try so I can help

On average, 240 customers arrive at a bank every morning (8AM - noon), but they do so randomly (i.e., not exactly every minute). There is a single line at the bank after which a customer goes to one of the five bank tellers. A bank teller takes on average 3 minutes to help a customer, with a standard deviation of 1.5 minutes. How long does a customer spend in this bank on average?

Answers

Every morning there are expected 240 customers who arrive at bank for the customer service.

There are on average 240 customers arriving to the bank every morning.

There are total 5 bank tellers and they take average 3 minutes to help customer.

The average time each bank teller spends on satisfying a customer will be calculated using the linear model,

Using wait time calculator:

Average service time / standard deviation

Ce = 3/1.5 = 2

The spent time on a customer is 3.4 minutes.

Learn more at https://brainly.com/question/24379767

Answer:

Customers spend 3.4 minutes in the bank on average.

Step-by-step explanation:

The customer arrives at the bank every morning. There is a line at bank goes to 5 bank teller. The customer takes 3 minutes with a 1.5-minute standard deviation.

The customer = 240

Time = 3

Where R = (240/4)

=60/hr

Where CVa = 1

The domain of a function is always equal to which one of the following options?

A. all possible output values of the function
B. the range of the function
C. all possible input values of the function
D. all real numbers​

Answers

Answer:

C. all possible input values of the function

Step-by-step explanation:

Answer:

C is right

Step-by-step explanation:

domain is f(x)=x^2 is all real numbers but domain g(x)=1/x is all real numbers except for 0 which is x but domains and the rang can be the same also

A cricket bat is bought for $330. Later, it is sold with a loss of 15%.
How much is the oricket bat sold for?
After selling the cricket bat, how much money has been last?
Give your answer to two decimal places because it is a currency.

Answers

Answers:

Discount price = 280.50 dollarsAmount lost =  49.50 dollars

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

Explanation:

If it's sold at a loss of 15%, then the store owner loses 0.15*330 = 49.50 dollars

So it was sold for 330- 49.50 =  280.50 dollars

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

An alternative method:

If the store owner loses 15%, then they keep the remaining 85% since 15%+85% = 100%.

85% of 330 = 280.50 dollars is the discount price

This means 330-280.50 = 49.50 dollars is the amount lost.

If the graph of f(x)=x^2, how will the graph be affected if it is changed to f(x)=1/3x^2?

Answers

Answer:

The graph would be compressed vertically by a factor of 1/3.

Step-by-step explanation:

Multiplying a function by some constant is a way to stretch or compress that function. If the magnitude of the constant is greater than 1, you are vertically stretching, if the magnitude of the constant is less than one but greater than 0 you are vertically compressing your function.

A box with a square base and no top is to be made from a square piece of carboard by cutting 4 in. squares from each corner and folding up the sides. The box is to hold 1444 in3. How big a piece of cardboard is needed

Answers

Answer:

[tex]C=27inch\ by\ 27inch[/tex]

Step-by-step explanation:

Squares [tex]h=4inch[/tex]

Volume [tex]v=1444in^3[/tex]

Generally the equation for Volume of box is mathematically given by

 [tex]V=l^2h[/tex]

 [tex]1444=l^2*4[/tex]

 [tex]l^2=361[/tex]

 [tex]l=19in[/tex]

Since

Length of cardboard is

 [tex]l_c=19+4+4[/tex]

 [tex]l_c=27in[/tex]

Therefore

Dimensions of the piece of cardboard is

[tex]C=27inch\ by\ 27inch[/tex]

Evaluate 2w^2-3w+7 when w=-2

Answers

2w^2 - 3w + 7
2(-2)^2 - 3(-2) + 7
2(4) + 6 + 7
8 + 6 + 7
14 + 7
21

The answer is 21.

Hey there!

2w^2 - 3w + 7

= 2(-2)^2 - 3(-2) + 7

(-2)^2

= (-2)(-2)

= 4

= 2(4) - 3(-2) + 7

2(4) = 8

3(-2) = -6

= 8 - (-6) + 7

= 8 + 6 + 7

8 + 6 = 14

14 + 7

= 21

Answer: 21

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

The absolute value inequality equation |2x – 1| > 3 will have what type of solution set?

Answers

Given:

The inequality is:

[tex]|2x-1|>3[/tex]

To find:

The solution set for the given inequality.

Solution:

We know that, if [tex]|x|>a[/tex], then [tex]x<-a[/tex] and [tex]x>a[/tex].

We have,

[tex]|2x-1|>3[/tex]

It can be written as:

[tex]2x-1<-3[/tex] or [tex]2x-1>3[/tex]

Case I:

[tex]2x-1<-3[/tex]

[tex]2x<-3+1[/tex]

[tex]2x<-2[/tex]

[tex]x<\dfrac{-2}{2}[/tex]

[tex]x<-1[/tex]

Case II:

[tex]2x-1>3[/tex]

[tex]2x>3+1[/tex]

[tex]2x>4[/tex]

[tex]x>\dfrac{4}{2}[/tex]

[tex]x>2[/tex]

The required solution for the given inequality is [tex]x<-1[/tex] or [tex]x>2[/tex]. The solution set in the interval notation is [tex](-\infty,-1)\cup (2,\infty)[/tex].

Therefore, the required solution set is [tex](-\infty,-1)\cup (2,\infty)[/tex].

Line K is parallel to line I.
k
m
n
Which angle is congruent to 24?
21
0 22
025

Answers

Answer:

<4 = <1

Step-by-step explanation:

Judging from the picture, <1 and <4 are opposite angles. Opposite angles are always congruent. Hope this helps!

Which number would be rounded UP to the nearest ten but DOWN to the nearest hundred?
A. 232
B. 238
C. 262
D. 268

Answers

Answer:

B

Step-by-step explanation:

b! i hope this helps

What is the volume of the cone

Answers

Answer:

The volume of this cone would be approximately equal to 2787.64 [tex]yd.^2[/tex].

Step-by-step explanation:

The formula used to calculate the volume of a cone is [tex]\pi r^2*\frac{h}{3}[/tex] where [tex]r[/tex] represents the radius of the circle at the base of the cone, and [tex]h[/tex] represents the vertical height of the cone. In this case, [tex]r[/tex] equals the diameter of the base divided by two, which is [tex]\frac{22}{2}[/tex] or 11 yards; and [tex]h[/tex] is equivalent to 22 yards. Insert these values into the formula and you'll get that the volume of this cone is equal to [tex]11^2*\pi*\frac{22}{3} = 121\pi * \frac{22}{3}[/tex] ≈ 2787.64 [tex]yd.^2[/tex], so that is the correct answer.

Which matrix equation represents the system of equations?

{-x+ 2y = 0
y= -2

Answers

We are given a system of equations,

[tex]\begin{cases}-x+2y=0\\y=-2\\ \end{cases}[/tex]

This will translate into a 2x2 matrix of coefficients (because 2 equations and 2 unknowns),

[tex]\begin{bmatrix}-1&2\\0&1\\ \end{bmatrix}[/tex]

The matrix will then be applied to the vector (lower dimensions on top),

[tex]\begin{bmatrix}x\\y\\ \end{bmatrix}[/tex]

And the result vector will be whats on the other side of equals sign,

[tex]\begin{bmatrix}0\\-2\\ \end{bmatrix}[/tex]

So to put everything together,

[tex]\begin{bmatrix}-1&2\\0&1\\ \end{bmatrix}\begin{bmatrix}x\\y\\ \end{bmatrix}=\begin{bmatrix}0\\-2\\ \end{bmatrix}[/tex]

Hope this helps :)

Which of the following best describes a three-dimensional solid made from
two parallel and congruent discs not in the same plane and all the points
between them?
A. Cylinder
B. Cone
C. Cube
D. Prism

Answers

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The correct option is A.

What is a cylinder?

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centers overlap each other to form a right cylinder.

The solid is described as a three-dimensional solid made from

two parallel and congruent discs, not in the same plane, and all the points

between them is a Cylinder.

Hence, the correct option is A.

Learn more about Cylinder:

https://brainly.com/question/12248187

#SPJ2

How does the graph of this function compare with the graph of the parent function, y=1/x? It is shifted right 5 units and up 2 units from the parent function. It is shifted left 5 units and up 2 units from the parent function. It is shifted right 5 units and down 2 units from the parent function. It is shifted left 2 units and down 5 units from the parent function. It is shifted right 2 units and up 5 units from the parent function. It is shifted left 2 units and up 5 units from the parent function.

Answers

Answer:

It is shifted left 5 units and up 2 units from the parent function.

Step-by-step explanation:

Given

[tex]y = \frac{1}{x}[/tex]

[tex]y' = \frac{1}{x+5} + 2[/tex]

Required

Compare both functions

First, translate y, 5 units left.

The rule is:

[tex](x,y) \to (x + 5,y)[/tex]

So, we have:

[tex]y = \frac{1}{x}[/tex]

[tex]y_1 = \frac{1}{x + 5}[/tex]

Next, translate y1, 2 units up.

The rule is:

[tex](x,y) \to (x,y+2)[/tex]

So, we have:

[tex]y' = y_1 + 2[/tex]

[tex]y' = \frac{1}{x + 5} + 2[/tex]

Hence, the transformation is:

5 units left and 2 units up

Answer:

b

Step-by-step explanation:

What is the image of -8 ,8 after a dilation by a scale factor of one fourth centered at the origin?

Answers

Answer:

(-2, 2)

Step-by-step explanation:

If you have a point (x, y) and you do a dilation by a scale factor K centered at the origin, the new point will just be (k*x, k*y)

So, if the original point is (-8, 8)

And we do a dilation by a scale factor k = 1/4

Then the image of the point will be:

(-8*(1/4), 8*(1/4))

(-8/4, 8/4)

(-2, 2)

(4x^5)^3 what is the equivalent?

[A] 4x^5+3
[B] 4x^5*3
[C] 4^3x^5+3
[D] 4^3x^5*3

Answers

Answer:

A

Step-by-step explanation:

They are different exponents but they have the same bas so you add them up.

4x^5+3 = 4x^8

[tex] \pink{ \boxed{\boxed{\begin{array}{cc} \maltese \bf \: \: as \: we \: know \: that \\ \\ \bf\: \: \rightarrow \: {(xy)}^{n} = {x}^{n} . {y}^{n} \\ \\ \bf \rightarrow \: {( {a}^{m} })^{n} = {a}^{m \times n} \\ \\ \bf \: now \\ \: \\ \blue{ {\boxed{\begin{array}{cc} \maltese \bf\: \: \: {(4 {x}^{5} })^{3} \\ \bf = {4}^{3} \times ({x}^{5} )^{3} \\ \bf = {4}^{3} \times {x}^{5 \times 3} \end{array}}}}\end{array}}}}[/tex]

So option D) is the correct answer

Other Questions
Which equation is correct?1A. cos x =sin a1B. tan x=CSC 2C. sec =COS1D. cot 2 =secSUBMIT find the missing side lengths answered in the simplest radical form with the denominator rationalized If I wanted to study a person's behavior without intervening or changing him/her I would use which of the following studies?A: experimental and quasi-experimental B: case study and cross-sectional study C: naturalistic observation and true experiment D: naturalistic observation and survey Select the correctly punctuated sentence. A. Dr. Winston, who teaches algebra at the university, volunteers at the shelter every weekend. B. Dr. Winston, who teaches algebra at the university volunteers at the shelter every weekend. C. Dr. Winston who teaches algebra at the university volunteers at the shelter every weekend. Use the given information to determine which of the following relationshipscan be proved and why.L= 20ME ZPML = POA. ALMN - A OPQ, because of AAS.B. ALMNE A OPQ, because of ASA.C. We cannot prove any relationship based on these data.D. ALMN=A OPQ, because of SAS, Estimated inventory (units), March 1 17,000 Desired inventory (units), March 31 19,700 Expected sales volume (units): Area M 6,500 Area L 8,900 Area O 7,800 Unit sales price $15 The number of units expected to be manufactured in March is a.23,200 b.59,900 c.25,900 d.42,900 What volume of O2 is required to completely burn 15cm3 of pentane? Equation - C5H12 + O2 - CO2 + H2O. please help! will mark brainliest If a point in quadrant IV is reflected in the y-axis, its image will lie in quadrant:A. IVB. IIC. ID. III What message about courage does LouiseErdrich express in the "The Leape? A swim teacher sells lesson packages. The best deal has the highest ratio of lessons to total cost. Swim Lesson Packages Number of Lessons Total Cost 1 $10 5 $40 10 $80 15 $80 Which package is the best deal? 1 lesson for $10 5 lessons for $40 10 lessons for $80 15 lessons for $80 Based on Emerson's evidence and your examples, do you agree or disagree withEmerson? You and your friends find a rope that hangs down 11 m from a high tree branch right at the edge of a river. You find that you can run, grab the rope, swing out over the river, and drop into the water. You run at 2.0 m/s and grab the rope, launching yourself out over the river.Required:How long must you hang on if you want to drop into the water at the greatest possible distance from the edge? I do not understand this. Please help. A person standing on a moving walkway travels 75 feet in 25 seconds. What equation represents this relationship? How many feet will the person travel in 10 seconds? BRAINLEST IF CORRECT!!! Heart disease and cancer were two of the most common causes of death in 2006. The market for fertilizer is perfectly competitive. Firms in the market are producing output but are currently making economic losses. Which of the following statements is true about the price of fertilizer? Check all that apply. The price of fertilizer must be greater than average total cost. The price of fertilizer must be greater than average variable cost. The price of fertilizer must be greater than marginal cost. Read this excerpt from Extremely Loud and Incredibly Close.I knew I could never let Mom hear the messages, because protecting her is one of my most important raisonsd'tre, so what I did was I took Dad's emergency money from on top of his dresser, and I went to the RadioShack on Amsterdam. It was on a TV there that I saw that the first building had fallen. I bought the exact samephone and ran home and recorded our greeting from the first phone onto it. I wrapped up the old phone in thescarf that Grandma was never able to finish because of my privacy, and I put that in a grocery bag, and I put thatin a box, and I put that in another box, and I put that under a bunch of stuff in my closet, like my jewelryworkbench and albums of foreign currencies.Which word best describes the tone of this excerpt?O deceitfulsentimentalmethodicalO respectfulMy Describe the laws of liquid pressure and Explain the term fluid. (Please give the correct answer, it's really urgent)