Find the missing side lengths. Leave your answers as radicals in simplest form.

Find The Missing Side Lengths. Leave Your Answers As Radicals In Simplest Form.
Find The Missing Side Lengths. Leave Your Answers As Radicals In Simplest Form.

Answers

Answer 1

Answer:

Step-by-step explanation:

For the question 1:

The given is a special right triangle with angle measures of

90-60-30 and side lengths represented by :

a - a[tex]\sqrt{3}[/tex] and 2a

The side length that sees 90 degrees is represented with a

The side length that sees 60 degrees is represented with a[tex]\sqrt{3}[/tex]

The side length that sees 30 degrees is represented with 2a

Here the side length that sees angle measure 60 is given as [tex]\sqrt{6}[/tex]

so a[tex]\sqrt{3}[/tex] =  [tex]\sqrt{6}[/tex] to find the value of a we divide  [tex]\sqrt{6}[/tex] with [tex]\sqrt{3}[/tex]

[tex]\frac{\sqrt{6} }{\sqrt{3} }[/tex] = [tex]\sqrt{2}[/tex]

so y = [tex]\sqrt{2}[/tex] and x = 2[tex]\sqrt{2}[/tex]

for second question

the square value of hypotenuse is equal to sum of other two side length's square value

10^2 + 6^2 = x^2

100 + 36 = x^2

136 = x^2

[tex]\sqrt{136}[/tex] = x


Related Questions

13. Find the slope of the line that passes through (1, 8) and (-3, 12).

Answers

Answer:

-1

Step-by-step explanation:

Slope formula:

[tex]\frac{y2-y1}{x2-x1}[/tex]

x1 = 1

y1 = 8

x2 = -3

y2 = 12

[tex]\frac{12-8}{-3-1}[/tex]

[tex]\frac{4}{-4}[/tex] = -1

(02.02 MC) Use the graph to fill in the blank with the correct number.
Numerical Answers Expected!
Answer for Blank 1:​

Answers

Answer:

The answer is "2"

Step-by-step explanation:

When we check the points where the x is -2

by calculating the "y-value":

It is 2, right?  

it implies that [tex]f(-2)=2[/tex]

that's why the final answer is "2"

Write the ratio as a fraction in simplest form
4.5 hr to 4 hr

Answers

Fraction form: 4 1/2 or 9/2
4 or 4/1

9514 1404 393

Answer:

  9/8

Step-by-step explanation:

To clear the fraction in the ratio 4.5 to 4, you can multiply both numbers by 2. This gives you the reduced ratio 9 to 8. As a fraction, that is 9/8.

Mrs. Hanson has 3 pies for a party. She calculates that if she splits the pies evenly among the guests, they will each receive
1/6

of a pie. How many guests are there?

Answers

Answer:

18 guests.

Step-by-step explanation:

To find the number of guests, we can simply divide 1/6 from 3. The result gives us 18.

(y - .18) x .08 = needing help

Answers

Answer:

0.08y - 0.0144

Step-by-step explanation:

We need to solve the below expression i.e.

(y - .18) x .08

It can be done as follows :

Using distributive property to solve it.

(y - .18) x .08 = 0.08(y) - 0.18(0.08)

= 0.08y - 0.0144

So, the equivalent expression is 0.08y - 0.0144.

Suppose a shipment of 400 components contains 68 defective and 332 non-defective computer components . From the shipment you take a random sample of 25. When sampling with replacement (so that the p = probability of success does not change), note that a success in this case is selecting a defective part. The standard deviation of this situation is?

Answers

Answer:

The standard deviation for the number of defective parts in the sample is 1.88.

Step-by-step explanation:

The sample is with replacement, which means that the trials are independent, and thus, the binomial probability distribution is used to solve this question.

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.  

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

68 defective out of 400:

This means that [tex]p = \frac{68}{400} = 0.17[/tex]

From the shipment you take a random sample of 25.

This means that [tex]n = 25[/tex]

Standard deviation for the number of defective parts in the sample:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{25*0.17*0.83} = 1.88[/tex]

The standard deviation for the number of defective parts in the sample is 1.88.

The standard deviation of the situation is 1.88

The proportion of success is calculated as:

[tex]p = \frac xn[/tex]

So, we have:

[tex]p = \frac {68}{68 + 332}[/tex]

[tex]p = 0.17[/tex]

The standard deviation is then calculated as:

[tex]\sigma= \sqrt{np(1-p)}[/tex]

For a shipment of a random sample of 25, we have:

[tex]\sigma= \sqrt{25 * 0.17 * (1-0.17)}[/tex]

Evaluate the product

[tex]\sigma= \sqrt{3.5275}[/tex]

Evaluate the root

[tex]\sigma= 1.88[/tex]

Hence, the standard deviation of the situation is 1.88

Read more about standard deviation at:

https://brainly.com/question/475676

AM and CM
BM and BM
AB and CB

Answers

These are variables on your graph

Question 3 of 10
Which angle in ABC has the largest measure?
2
С
A B. C. D. Cannot be determined

Answers

Answer:

Step-by-step explanation:

C

For this problem, I got 2 for the median however my answer seems to be incorrect. Can someone help me figure out this problem please? Thank you for your help!

Answers

Answer:

11

Step-by-step explanation:

we have as many numbers as dots

like 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 13 13 14 15 15 16 16 17 18

so in the middle it's 11 and 11

(11+11)÷2=11

find the missing side lengths​

Answers

this is a special triangle so v = 17

u = 17√2

Answer:

v = 17

u = 17[tex]\sqrt{2}[/tex]

Step-by-step explanation:

If v = 17 (it is because it is a right triangle, so the pythagorean theorum works, and triangles are 180 degrees, so 180 - 90 = 90, so the other two angles are 45 degrees, meaning that v is the same length as 17.) then

17 ^ 2 = u ^2

289 = u^2

17 root to 2

A medical researcher is using rats to do an experimental test to determine the appropriate dosage for a new cancer drug. Each rat will be given a different dosage of the drug. The oncologist will then measure the growth rate of the cancerous tumor. What best describes the input and output variables that will be used in this experiment?

Answers

The input of the experiment is the amount of dose of the drug and the output is the growth rate of the cancerous tumor.

Given information:

A medical researcher is using rats to do an experimental test to determine the appropriate dosage for a new cancer drug.

Each rat will be given a different dosage of the drug.

The oncologist will then measure the growth rate of the cancerous tumor.

Now, in the experiment, the oncologist tries to study or calculate the growth rate of a cancerous tumor. So, the output that he/she will get will be the growth rate of the cancerous tumor.

The experiment is done on the rate by giving them a dosage of the drug. The dosage can vary based on the study criterion. So, the amount of dosage of the drug should be the input of the experiment.

Therefore, the input of the experiment is the amount of dose of the drug and the output is the growth rate of the cancerous tumor.

For more details, refer to the link:

https://brainly.com/question/5527886

A kite is a ........... quadrilateral

Answers

Answer:

yes

Step-by-step explanation:

The complete sentence is,

A kite is a convex quadrilateral.

We have to given that,

To find a kite is which type of a quadrilateral.

We know that,

A quadrilateral known as a kite has four sides that may be divided into two pairs of neighboring, equal-length sides.

The two sets of equal-length sides of a parallelogram, however, are opposite one another as opposed to being contiguous.

Hence, The complete sentence is,

A kite is a convex quadrilateral.

Learn more about quadrilateral visit:

https://brainly.com/question/23935806

#SPJ7

Are 3(3x - y) and 12 ( x - 4y ) equivalent expression?

Answers

Answer:

No, they are not.

Step-by-step explanation:

If you distributed 12(x - 4y), you would get 12x - 48y. If you distributed 3(3x-y), you would get 9x- 3y. 12x - 48y and 9x - 3y are not equivalent. Hope this helped!

so sánh 198*202 và 200^2

Answers

Step-by-step explanation:

198×202=39,996

200×200=40,000

hence,

39,9996 < 40,000

hope it helps

An Internet company reported that its earnings will be less than the 24 cents per share that was predicted. Write an inequality showing the possible earnings per share.

Answers

Answer:

e < 24 is the inequality which shows the possible earnings per share.

Explanation:

x, will stand for the variable for earnings and less than, means it will not be higher nor the same as 24. Thus, being leaves us with one sign. The open part facing 24 means that 24 is the bigger number, therefore the smaller side represents that x has to be smaller than 24.

Answer: x<24

Step-by-step explanation:

x, will stand for the variable for earnings and less than means it will not be higher nor the same as 24. Thus being leaves us with one sign. The open part facing 24 means that 24 is the bigger number therefore the smaller side represents that x has to be smaller than 24.

find the two intersection points

(x+1)^2 +(y+2)^2 = 16

3x+ 4y = 1
Show your steps please

Answers

Answer:

Our two intersection points are:

[tex]\displaystyle (3, -2) \text{ and } \left(-\frac{53}{25}, \frac{46}{25}\right)[/tex]

Step-by-step explanation:

We want to find where the two graphs given by the equations:

[tex]\displaystyle (x+1)^2+(y+2)^2 = 16\text{ and } 3x+4y=1[/tex]

Intersect.

When they intersect, their x- and y-values are equivalent. So, we can solve one equation for y and substitute it into the other and solve for x.

Since the linear equation is easier to solve, solve it for y:

[tex]\displaystyle y = -\frac{3}{4} x + \frac{1}{4}[/tex]

Substitute this into the first equation:

[tex]\displaystyle (x+1)^2 + \left(\left(-\frac{3}{4}x + \frac{1}{4}\right) +2\right)^2 = 16[/tex]

Simplify:

[tex]\displaystyle (x+1)^2 + \left(-\frac{3}{4} x + \frac{9}{4}\right)^2 = 16[/tex]

Square. We can use the perfect square trinomial pattern:

[tex]\displaystyle \underbrace{(x^2 + 2x+1)}_{(a+b)^2=a^2+2ab+b^2} + \underbrace{\left(\frac{9}{16}x^2-\frac{27}{8}x+\frac{81}{16}\right)}_{(a+b)^2=a^2+2ab+b^2} = 16[/tex]

Multiply both sides by 16:

[tex](16x^2+32x+16)+(9x^2-54x+81) = 256[/tex]

Combine like terms:

[tex]25x^2+-22x+97=256[/tex]

Isolate the equation:

[tex]\displaystyle 25x^2 - 22x -159=0[/tex]

We can use the quadratic formula:

[tex]\displaystyle x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

In this case, a = 25, b = -22, and c = -159. Substitute:

[tex]\displaystyle x = \frac{-(-22)\pm\sqrt{(-22)^2-4(25)(-159)}}{2(25)}[/tex]

Evaluate:

[tex]\displaystyle \begin{aligned} x &= \frac{22\pm\sqrt{16384}}{50} \\ \\ &= \frac{22\pm 128}{50}\\ \\ &=\frac{11\pm 64}{25}\end{aligned}[/tex]

Hence, our two solutions are:

[tex]\displaystyle x_1 = \frac{11+64}{25} = 3\text{ and } x_2 = \frac{11-64}{25} =-\frac{53}{25}[/tex]

We have our two x-coordinates.

To find the y-coordinates, we can simply substitute it into the linear equation and evaluate. Thus:

[tex]\displaystyle y_1 = -\frac{3}{4}(3)+\frac{1}{4} = -2[/tex]

And:

[tex]\displaystyle y _2 = -\frac{3}{4}\left(-\frac{53}{25}\right) +\frac{1}{4} = \frac{46}{25}[/tex]

Thus, our two intersection points are:

[tex]\displaystyle (3, -2) \text{ and } \left(-\frac{53}{25}, \frac{46}{25}\right)[/tex]

Find the area of the sector round your answer to the nearest 10th

Answers

9514 1404 393

Answer:

  398.2 cm²

Step-by-step explanation:

The area of the whole circle is ...

  A = πr²

  A = π(13 cm)² = 169π cm²

The 270°  sector is 3/4 of the whole circle, so its area is ...

  sector area = (3/4)(169π cm²) ≈ 398.2 cm²

Write the equation of a line in slope intercept form that passes through the two points. 4,-1 and 6,-7

Answers

A line has an equation of,

[tex]y=mx+n[/tex].

m is called a slope

n is called y-intercept

We are also given two points [tex](x_1,y_1)=(4,-1),(x_2,y_2)=(6,-7)[/tex].

We begin with computing the slope,

[tex]m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}=\frac{-7-(-1)}{6-4}=\frac{-7+1}{2}=\frac{-6}{2}=\boxed{-3}[/tex]

We have computed the slope m and our equation is almost done,

[tex]y=-3x+n[/tex]

Next step is to find out what y-intercept n is. I will use point [tex](4,-1)[/tex] and insert x and y it into already known equation, then solve for n,

[tex]-1=-3(4)+n[/tex]

[tex]-1=-12+n\implies n=\boxed{11}[/tex]

The reason I can insert coordinates of a point as x and y is because this particular point is in the line described by equation,

[tex]\boxed{y=-3x+11}[/tex]

Hope this helps. :)

Find the circumference. Use 3.14. r = 4 cm C = [?] cm ​

Answers

Answer:

24.12

Explanation --

Circumference = Pi x D (d --> diameter)

Diameter = 2r (r --> radius)

4+4 (4[2]) = 8

3.14 times 8 (8 is the diameter we just found out, while 3.14 is pi) -->

25.12

Hope this helps!!

Answer:  c=πd

we need 'd'

hence,

d=2r

d=2(4cm)

d=8cm

now,

c=3.14×8cm

c=25.12cm

t "To Do" list has four items: 1) Organize email folders 2) Create a schedule for next month 3) Help a coworker and 4) Answer a customer inquiry. Which item should you probably do first ? a) Answer a customer inquiry b) Organize email folders c) Help a coworker d) Create a schedule for next month

Answers

Answer:

I think A) Answer a customer inquiry

Step-by-step explanation:

Because customers come first

PLEASE HELP!
Suppose you want to purchase a house. Your take-home pay is $2920 per month, and you wish to stay within the recommended guidelines for mortgage amounts by only spending 14 of your take-home pay on a house payment. You have $15,900 saved for a down payment and you can get an APR from your bank of 4.05%, compounded monthly. What is the total cost of a house you could afford with a 15-year mortgage? Round your answer to the nearest cent, if necessary.

Answers

Answer:

Had a problem in school like this, all you gotta dois ta

3) Consider the sequence -11 ; 2sin3x ; 15; ...

3.1.1) Determine the values of x in the interval [0 ; 90] for whichthe sequence will be arithmetic.​

Answers

9514 1404 393

Answer:

  x = 30

Step-by-step explanation:

In an arithmetic sequence, any given term is the average of the two terms that come before and after. The middle term of this sequence must be ...

  2sin(3x) = (-11 +15)/2

  sin(3x) = 1 . . . . . . . . . . simplify and divide by 2

Then the value of 3x must be 90°, so ...

  x = 90/3 = 30

There is one value of x in the interval [0, 90] that makes this sequence arithmetic: x = 30.

The formula for finding the area of a square that has a side length, s, is A= 52. If a square has an area of 40 square
units, what is the length of a side?
20
10/
2 /10

Answers

Answer:

2√10

Step-by-step explanation:

Given the following data;

Area of square = 40

Mathematically, the area of a square is calculated by using the formula;

Area, A = s²

Where;

s is the length of sides of a square.

Substituting into the formula, we have;

40 = s²

s = √40

s = √4 * √10

s = 2 * √10

s = 2√10

Matt and his siblings bought their mom her favorite perfume for her birthday. They gave the cashier $80. The cashier gave them back 1 ten-dollar bill, 1 five-dollar bill, 8 dimes, and 1 nickel as change. How much did the perfume cost?

Answers

Answer:

$64.15

Step-by-step explanation:

to solve this problem, first we should figure out how much money that the cashier gave them back, and then subtract that from $80 (which was what Matt and his siblings gave the cashier) to find out how much the perfume cost.

it is given that:

they gave the cashier $80.

the cashier gave them back 1 ten-dollar bill ($10), 1 five-dollar bill ($5), 8 dimes ($0.80 or 80 cents) , and 1 nickel ($0.05 or 5 cents)

$10+$5+$0.80+$0.05=$15.85

the total amount of money that the cashier gave them back is $15.85

to find how much the perfume cost:

$80-$15.85=$64.15

so, the perfume cost $64.15

Find the missing segment in the image below

Answers

Answer:

x = 42

Step-by-step explanation:

24+8 = 32

[tex]\frac{x}{24}[/tex] = [tex]\frac{x+14}{32}[/tex]

32x = 24(x+14)

32x = 24x+336

8x = 336

x = 42

Which statement is true about the ratios of squares to
cicles in the tables? PLS HURRY!!!!

Answers

Answer:

show us a screenshot or image

or type it out, copy paste

Step-by-step explanation:

After conducting a survey of all her classmates, Midge discovers that the amount of money everyone spends buying books each month has a mean of $30. What does the mean say about the amount her classmates spend on books?

Half of her classmates spend exactly $30 per month buying books.
Half of her classmates spend more than $30 per month buying books.
The majority of her classmates spend $30 per month buying books.
If the amount spent on books per month by all her the classmates is leveled, that amount would be $30.

Answers

Answer:

If the amount spent on books per month by all her the classmates is leveled, that amount would be $30.

Step-by-step explanation:

The mean is the average amount calculated by finding the sum of a certain group of numbers, then dividing it.

This can be described as "leveling" the amount, since it is the total average.

So, the mean of $30 in this situation means that the average amount that her classmates spend on books is $30.

The correct answer is that If the amount spent on books per month by all her the classmates is leveled, that amount would be $30.

Answer:

Your answer is D

Step-by-step explanation:

Please give top guy brainiest

An empty density bottle weighs 24gm. When completely filled with water it weighs 52 gm, when completely filled with a brine solution. Its weighs 56 gm calculate: a) Volume of bottle b) Density of brine solution​

Answers

Step-by-step explanation:

Density = weight / volumeWater density = 1 gm/cm³

a) Weight of the water:

52 - 24 = 28 gm

Volume of bottle:

28 gm : 1 gm/cm³ = 28 cm³

b) Weight of brine:

56 - 24 = 32 gm

Density of brine:

32 gm : 28 cm³ ≈ 1.14 gm/cm³

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 sequence is defined by the recursive function f(n + 1) = f(n) – 2.

If f(1) = 10, what is f(3)?

1
6
8
30

Answers

Answer:

f(3) = 6

Step-by-step explanation:

If f(1)=10, then f(1+1)=f(1)-2

f (2) = 10 - 2 = 8

Therefore f(3) = f(2) - 2 = 8 - 2 = 6

Other Questions
The narrator's description of Kun thi as "a thin, slight girl" connotes that _____.>she does not have enough food to eat>she wishes she could become pregnant like the other village wives>she is mean to the other women who are not as skinny>she is not strong and sturdy and will be unable to survive future hardships Select the correct relationship among the concentrations of species present in a 1.0 M aqueous solution of the weak acid represented by HA. A. [H2O] > [HA] > [A-] > [H3O ] > [OH-] B. [H2O] > [A-] ~ [H3O ] > [HA] > [OH-] C. [HA] > [H2O] > [A-] > [H3O ] > [OH-] D. [H2O] > [HA] > [A-] ~ [H3O ] > [OH-] E. [HA] > [H2O] > [A-] ~ [H3O ] > [OH-] NaC9Which rule describes the transformation?Parallelogram ABCD is rotated to create imageA'B'C'D'.SEE0 (x, y) - (y, -x)O (x, y) + (-y, x)O (x, y) + (-X, -y)(x, y) - (x,-y)5VX4RD21C-5.-5.4.-3.-2.-234SIB2DACBno What are the ones that apply which of the following expressions are equivalent to 36x + 24y? choose all that apply 6x (6+4y) 6(6x + 4y) 12(36x + 24y) 12(3x + 2y) 4y(9x + 6) 4(9x + 6y) During the Spanish-American War, African-American soldiers a were treated as equals. b faced segregation and discrimination. c had little opportunity to distinguish themselves in battle. d were never allowed combat positions. WILL MARK BRAINLIEST PLEASE SHOW WORK! find the largest value :A=5-x^2+2x Please help please !!!! Fill in the blanks with the passive form of the verbs in the simple future tense: 1 Efforts ________ to generate as many jobs as possible. (make) a teacher and two students are mesuring the speed of sound. the teacher makes loud sound by hitting two cymbals together. each students starts a stopwatch then they see the teacher hit the cymbals, they each stop their stop watch when they hear the sound. describe how a sound wave moves through the air. sexual reproduction study's Ben is working in an IT services organization that uses the National Institute of Standards and Technology (NIST) functional impact categories to describe the impact of incidents. During a recent construction project, a contractor plugged a network device to the same switch twice, resulting in a network loop and taking down the organization's network for one-third of its users. Which functional impact category should Ben use to classify the event given in the scenario A compound with a molecular weight of about 64.47 g/mol was found to be 18.63 % of C, 1.56 % of H, 24.82 % of O, and 54.99 % of Cl by mass. Determine the molecular formula and draw the Lewis structure showing an accurate 3-D perspective. *Show your calculations Es necesario____el piso (the floor).O trapearO doblarO limpiarO lavar Find Easy question For yall Explain the challenge of sustinable development in nepal 1. How is neuroscientist like and different from a brain surgeon?2. How is neuron like and different from a blood cell?(Please make your answer short for better understanding.) Use inductive reasoning to predict the next three numbers in the pattern.9 ,3 ,1 ,1/3, 1/9Predict the next three numbers in the pattern. Help I dont have brainly plus is there anyone I can log into my number is (385) 519-3744