Write the slope-intercept form of the equation of a line with a slope of −25 that passes through the point (15,−92). ​

Answer:

33.75°

Step-by-step explanation:

Given data

Ratio=  3:3:10

combined  ratio= 3+3+10= 16

The sum of angles in a triangle is 180°

Hence the smallest angle is represented by the ratio 3

therefore let the angle be x

Applying the part to all method

3/16= x/180

16x= 180*3

16x=540

x= 540/16

x= 33.75°

Hence the smallest angle is 33.75°

Answer:

22

Step-by-step explanation:

They add up to 180. You have a 90 degree angle and a 68 degree angle.

Your equation is: 180-90-68=x

x=22

Answer:

[tex]\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = \frac{5 - 3\sqrt 5}{5}[/tex]

Step-by-step explanation:

Given

[tex]\cos(\theta) = -\frac{2}{3}[/tex]

[tex]\theta \to[/tex] Quadrant III

Required

Determine [tex]\tan(\theta) \cdot \cot(\theta) + \csc(\theta)[/tex]

We have:

[tex]\cos(\theta) = -\frac{2}{3}[/tex]

We know that:

[tex]\sin^2(\theta) + \cos^2(\theta) = 1[/tex]

This gives:

[tex]\sin^2(\theta) + (-\frac{2}{3})^2 = 1[/tex]

[tex]\sin^2(\theta) + (\frac{4}{9}) = 1[/tex]

Collect like terms

[tex]\sin^2(\theta) = 1 - \frac{4}{9}[/tex]

Take LCM and solve

[tex]\sin^2(\theta) = \frac{9 -4}{9}[/tex]

[tex]\sin^2(\theta) = \frac{5}{9}[/tex]

Take the square roots of both sides

[tex]\sin(\theta) = \±\frac{\sqrt 5}{3}[/tex]

Sin is negative in quadrant III. So:

[tex]\sin(\theta) = -\frac{\sqrt 5}{3}[/tex]

Calculate [tex]\csc(\theta)[/tex]

[tex]\csc(\theta) = \frac{1}{\sin(\theta)}[/tex]

We have: [tex]\sin(\theta) = -\frac{\sqrt 5}{3}[/tex]

So:

[tex]\csc(\theta) = \frac{1}{-\frac{\sqrt 5}{3}}[/tex]

[tex]\csc(\theta) = \frac{-3}{\sqrt 5}[/tex]

Rationalize

[tex]\csc(\theta) = \frac{-3}{\sqrt 5}*\frac{\sqrt 5}{\sqrt 5}[/tex]

[tex]\csc(\theta) = \frac{-3\sqrt 5}{5}[/tex]

So, we have:

[tex]\tan(\theta) \cdot \cot(\theta) + \csc(\theta)[/tex]

[tex]\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = \tan(\theta) \cdot \frac{1}{\tan(\theta)} + \csc(\theta)[/tex]

[tex]\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = 1 + \csc(\theta)[/tex]

Substitute: [tex]\csc(\theta) = \frac{-3\sqrt 5}{5}[/tex]

[tex]\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = 1 -\frac{3\sqrt 5}{5}[/tex]

Take LCM

[tex]\tan(\theta) \cdot \cot(\theta) + \csc(\theta) = \frac{5 - 3\sqrt 5}{5}[/tex]

Answer:

Median #1: 10.5

Q1 #1: 5.5

Q3 #1: 19

IQR #1: 13.5

Median #2: 14

Q1 #2: 3

Q3 #2: 45

IQR #2: 42

Step-by-step explanation:

Question 1:

First order the data so that they are in order from least to greatest:

2, 5, 6, 8, 13, 16, 22, 24

Now, find the median by crossing out one value on the left and one value on the right until you get to the center value.

2, 5, 6, 8, 13, 16, 22, 24

/2/, /5/, /6/, /8/, /13/, /16/, /22/, /24/

In this case, there were four values crossed off of each side, so you'll need to find the average of the final two crossed out values: 8 and 13.

(8+13)/2 = 10.5

To find the first quartile, find the median of all values below the median.

2, 5, 6, 8

/2/, /5/, /6/, /8/

The median of these values is the average of the center two, so

(5+6)/2 = 5.5

The third quartile is the median of all values above the median.

13, 16, 22, 24

/13/, /16/, /22/, /24/

The median of those values is the average of the center two as well, so

(16 + 22)/2 = 19

The IQR can be found by subtracting Q1 from Q3. (IQR = Q3 - Q1)

Q3 - Q1

19 - 5.5

IQR = 13.5

Question 2:

Arrange the values from least to greatest and cross them out until you find the middle falue, like in problem one.

1, 3, 7, 14, 21, 45, 63

/1/, /3/, /7/, 14, /21/, /45/, /63/

The center value is 14, so the median is 14.

The first quartile can be found by finding the median of all values below the median.

1, 3, 7

/1/, 3, /7/

The first quartile is 3.

The third quartile can be found by finding the median of all values above the median.

21, 45, 63

/21/, 45, /63/

The third quartile is 45.

The interquartile range can be found using the equation from above.

Q3 - Q1

45 - 3

The interquartile range is 42.

Answer:

The measure of B would be 60 degrees

Step-by-step explanation:

add me as a friend if i am right

Answer:

Mekala Jumble has 4 techno songs, 2 country songs, and3 jazz songs on it.

Ratio of techno songs,to country songs,to jazz songs= 4: 2 : 3

Whatever be total  number of songs, let the number of techno songs, country songs,and jazz songs be  4 x,  2 x, and  3 x.

Total number of songs that Mekala plans to Listen = 2 70

Then , 4 x + 2 x + 3 x= 270

9 x = 270

Dividing both sides by 9, we get

x = 30

So, Number of techno songs = 4 × 30= 120

Number of techno songs = 2 × 30= 60

Number of jazz songs = 3 × 30= 90

Option (b) b) Close to 60 country songs but probably not exactly 60 country songs  ,is true option regarding number of songs listen by Mekala.

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer

42%

Step-by-step explanation:

Answer:

42%

Step-by-step explanation:

[tex]\frac{21}{50}[/tex] as a percent

[tex]\frac{21}{50}=\frac{y}{100}[/tex]

50 · y = 21 · 100

50y = 2100

50y ÷ 50 = 2100 ÷ 50

y = 42

Answer:

i would say 500 im probably not right though

Step-by-step explanation:

Answer:

The is no significant evidence to conclude that mean is greater than 22

Step-by-step explanation:

H0 : μ = 22

H0 : μ > 22

The test statistic :

(xbar - μ) ÷ (σ/sqrt(n))

xbar = 22.3 ; n = 36 ; μ = 22 ; σ = 3.7

(22.3 - 22) ÷ (3.7/√36)

0.3 ÷ 0.6166666

Test statistic = 0.486

The Pvalue using a Pvalue calculator from Zscore is :

Pvalue = 0.313

α = 0.05

Pvalue > α ; We fail to reject the Null ; The is no significant evidence to conclude that mean is greater than 22

Answer:

288

Step-by-step explanation:

32 = 2 × 2 × 2 × 2 × 2

8 = 2 × 2 × 2

18 = 2 × 3 × 3

12 = 2 × 2 × 3

LCM(32, 8, 18, 12)

= 2 × 2 × 2 × 2 × 2 × 3 × 3

= 288

Answer:

h = [tex]\sqrt{55}[/tex] in

Step-by-step explanation:

A right triangle is formed by h, slant height and radius

Here the legs are h and 6 ÷ 2 = 3, hypotenuse is 8

Using Pythagoras' identity in the right triangle

h² + 3² = 8²

h² + 9 = 64 ( subtract 9 from both sides )

h² = 55 ( take the square root of both sides )

h = [tex]\sqrt{55}[/tex] in

Answer:

Step-by-step explanation:

Answer:

The orange moves at 2M/s

5/2.5=2

2meters/secon

The average speed of the orange is 2 m/sec.

Given that, orange falls off a display at a store and rolls 5 meters in 2.5 seconds.

We need to find the average speed of the orange.

Average speed is the mean value of the speed of a body over a period of time. The formula for average speed is needed since the speed of a moving body is not constant and varies across a period of time. Even with varying speeds, the values of total time and the total distance covered can be used, and with the help of the formula for average speed, we can find a single value to represent the entire motion.

The formula for average speed is given as:

Average Speed = Total distance covered ÷ Total time taken

Now, average speed=5/2.5=2 m/sec.

Therefore, the average speed of the orange is 2 m/sec.

To learn more about the average speed visit:

https://brainly.com/question/17277454?referrer=searchResults

#SPJ2

Answer:

20

Step-by-step explanation:

( x − 2 ) 2 − 16 Set y equal to the new right side. y = ( x − 2 ) 2 − 16 Use the vertex form, y = a ( x − h ) 2 + k , to determine the values of a , h , and k . a = 1 h = 2 k = − 16 Find the vertex ( h , k ) . ( 2 , − 16 )

[tex]\huge{ \mathfrak{  \underline{ Answer} \:  \:  ✓ }}[/tex]

let the number of

Total number of people : adults + children

Total money earned from adults :

Total money earned from children :

Therefore, total money = money earned from each Adult and children.

Now, let's plug the value of x from equation [1] into equation [2]

let's plug the value of y in equation [1]

Hence, we get :

Correct option is C

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \: ☠}[/tex]

Answer:

-13, 0.4,7 its the 4th one

Step-by-step explanation:

Step-by-step explanation:

18+3=x+3

21=x+3

x=21-3

x=18

Yes I want Brainless (lol)

A.) 53 (just add every point in the data like 50+50+51+52...etc)

B.) UQ:30 LQ:26 Me:29 Max:32 (Mi:25)

C.) D.

D.) C. (3 3 3 3 4 5 6 6 7 7 7 7 7 8 8 10 11 11 14 14)

E.) B. (https://byjus.com/multiplying-3-fractions-calculator/)

Answer:

1) 42.51

2) 39.76

Answer:

solution given;

let

AB=a

AC=b=30ft

AB=c=20ft

<A=115°

By using Cosine rule.

a²=b²+c²-2bc cos angle

a²=30²+20²-2*30*20 Cos 115°

a²=1807.1419

a=√[1807.1419]

a=42.51

Side A is 42.51ft.

Again

Cos B=[tex] \frac{a²+c²-b²}{2ac} [/tex]

Cos B=[tex] \frac{42.51²+20²-30²}{2*42.51*20} [/tex]

Cos B=0.7687

<B=Cos -¹(0.7687)

<B=39.46°

Angle B is 39.46

Answer:

Answer A

Step-by-step explanation:

If you use the Medium, Mean, And Range that's what it would be,

That's what I'm assuming this assignment is.

Answer:

16.96hrs or 1017.6mins

Step-by-step explanation:

24 / 8 = 4.8

212 x 4.8 = 1017.6 mins

16.96 hours

Answer:probably x’s all of them

Step-by-step explanation:

Answer:

7 square yards

Step-by-step explanation:

Since you're doing IXL, you won't need to include an explanation, but if you want one, just tell me :).

Formula: [tex]\frac{a+b}{2}[/tex] × h

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

Have a good day :)

Answer:

El peso total del cemento es 4.5 toneladas.

Step-by-step explanation:

El padre de Noe compró 90 bultos de cemento. Cada bulto pesa 50 kg.

Para obtener el peso total de cemento comprado por el padre de Noe se calcula mediante la multiplicación entre la cantidad de bultos de cemento y el peso de cada bulto:

90 bultos* 50 kg= 4500 kg

La tonelada hace referencia a una medida de masa en el Sistema Internacional de Unidades y en el sistema métrico decimal, que equivale a un peso de 1000 kilogramos (kg). Entonces podes aplicar la siguiente regla de tres: si 1000 kg equivalen a 1 tonelada, 4500 kg equivalen a cuántas toneladas?

[tex]peso=\frac{4500 kg* 1 tonelada}{1000 kg}[/tex]

peso= 4.5 toneladas

El peso total del cemento es 4.5 toneladas.

Answer:

A. 3/2

Step-by-step explanation:

When two exponents have the same base, you can cancel the bases and set the exponents equal to each other

3x-2=x+1

3x=x+3

2x=3

x=3/2

Answer:

$19.00

Step-by-step explanation:

She made 52.50.

she had -14.

52.50-14= 38.50

tickets are 9.50

9.50×2= 19.00

hope this helps let me kno if i did somthing wrong!

Answer:

√9=3

√25=5

5+3=8

Step-by-step explanation:

this is the solution if i understand it correctly

Answer:

About 4

because

3.74 rounded is 4

Answer:

9/16

Step-by-step explanation:

Answer:

I think its c

Step-by-step explanation:

there's 6 sides to a cube, and if one of the sides has nine, that means there's 5 sides left, so 5 out of 6 of those sides have a chance of being a new number other than 9

Answer: 15

Step-by-step explanation: i don’t know

Answer:

15

Step-by-step explanation:

The fraction computed shows that the number of his next 20 free-throw attempts that you expect Vijay to miss is 15.

How to solve the fraction?

From the information given, Vijay missed 12 out of his last 16 free throws. The fraction missed will be:

= 12/16

= 3/4

Therefore, the number of his next 20 free-throw attempts that you expect Vijay to miss will be:

= 3/4 × 20

= 15