x+y<3

write in slope form

Answer:

30°

Step-by-step explanation:

the total angels of the triangle is 180

180-75-75=30

and since the Angle of 30 and x^0 are Head opposite angles , then x^0 = 30°

Check the picture below.

Answer:

C) -2/9

Step-by-step explanation:

\(\displaystyle -\frac{1}{6}\biggr[3-15\biggr(\frac{1}{3}\biggr)^2\biggr]\\\\=-\frac{1}{6}\biggr[3-15\biggr(\frac{1}{9}\biggr)\biggr]\\\\=-\frac{1}{6}\biggr[3-\frac{15}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{27}{9}-\frac{15}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{12}{9}\biggr]\\\\=-\frac{1}{6}\biggr[\frac{4}{3}\biggr]\\\\=-\frac{4}{18}\\\\=-\frac{2}{9}\)

Answer:

Hence, Option (C) - 2/9 is the Answer:

Step-by-step explanation:

-1/6 [3 -15(1/3)^2]

-1/6(3 -15)(1/9))

-1/6(3 - 5/3)

-1/6 (4/3)

Hence, Option (C) - 2/9 is the Answer:

I hope it helps!

Answer:

x=6

Step-by-step explanation:

Answer:

3(10x+4)=8(3x+6)

Step 1: Simplify both sides of the equation.

3(10x+4)=8(3x+6)

(3)(10x)+(3)(4)=(8)(3x)+(8)(6)(Distribute)

30x+12=24x+48

Step 2: Subtract 24x from both sides.

30x+12−24x=24x+48−24x

6x+12=48

Step 3: Subtract 12 from both sides.

6x+12−12=48−12

6x=36

Step 4: Divide both sides by 6.

6x = 36

Answer:

x=6

By using trigonometry, the missing sides are

Example 1: x = 16.7

Example 2: x = 3.2

Example 3: x = 23.5

Example 4: x = 9.3

From the question we are to determine the value of the missing sides in the given triangles

We can determine the value of the missing sides by using SOH CAH TOA

Example 1

Angle = 42°

Opposite side = x

Hypotenuse = 25

Thus,

sin (42°) = x / 25

x = 25 × sin (42°)

x = 16.7

Example 2

Angle = 75°

Opposite side = 12

Adjacent side = x

Thus,

tan (75°) = 12 / x

x = 12 / tan (75°)

x = 3.2

Example 3

Angle = 36°

Hypotenuse side = x

Adjacent side = 19

Thus,

cos (36°) = 19 / x

x = 19 / cos (36°)

x = 23.5

Example 4

Angle = 53°

Opposite side = x

Adjacent side = 7

Thus,

tan (53°) = x / 7

x = 7 × tan (53°)

x = 9.3

Hence,

The missing sides are 16.7, 3.2, 23.5 and 9.3

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The expression for the total cost of Sal's purchases is 7x + 5y cents.

We know that Sal paid (x + 2y) cents for a quart of milk and (2x + y) cents each for three cartons of orange juice.To find the total cost of Sal's purchases we need to add the cost of the milk and the cost of the three cartons of orange juice and simplify the expression.The cost of the milk is given as (x + 2y) cents. The cost of three cartons of orange juice is (2x + y) cents each.

Therefore, the cost of three cartons of orange juice is (3 × (2x + y)) cents. To find the total cost of Sal's purchases, we add the cost of the milk and the cost of the three cartons of orange juice.(x + 2y) + (3 × (2x + y)) cents = x + 2y + 6x + 3y cents= 7x + 5y cents.

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Answer:

1 is false

2 is true

3 is false

4 is false

Step-by-step explanation:

y-33=-2

y-33+32=-2+33

y=31

31=3x-2

31+2=3x-2+2

33=3x

33/3=3x/3

11=x

solution is (11,31)

graph of y=-3x-2... y=31 would be a horizontal line on 33 at the y axis

Answer:

2) 1.77 in squared

3) 508.68 in squared

4) 50.24 ft squared

5) 562.6

6) 170.3

Step-by-step explanation:

2) A=r^2pi

d= 2r

3in= 2r

r= 3/2

(3/2)^2pi

7.06858/4

1.77 in^2

3) (18)^2pi

324(pi)

1017.876/2

508

4) (8)^2pi

64pi

201.062/4

50

5) A= 1/2(b1+b2)h

25 -4.2= 20.8

1/2(18+26)20.8

1/2(44)(20.8)

22(20.8)

457.6cm^2

A=lw

25(4.2)

105cm^2

105+457.6= 562.6

6) 2 triangles(1/2(6.2(5)))

31 m^2

18.3(11)

201.3m^2

201.3 -31= 170.3m^2

Answer:

The answer is 2 hope this helped!

Step-by-step explanation:

Answer:

A = 530.929158457

Answer:

Area = 706.8583471

Explanation:

The used law to measure the surface area of the sphere is

\(area \: = 4\pi \: {r}^{2} \)

Where (r) is the radius. The radius is half the diameter, so it will be half 13 which is equal to 7.5. By using this law:

\(4\pi \: {7.5}^{2} = 706.8583471\)

To simplify the expression (2x-3)(5x^2-2x+7), we can use the distributive property.

First, multiply 2x by each term inside the second parentheses:

2x * 5x^2 = 10x^3

2x * -2x = -4x^2

2x * 7 = 14x

Next, multiply -3 by each term inside the second parentheses:

-3 * 5x^2 = -15x^2

-3 * -2x = 6x

-3 * 7 = -21

Combine all the resulting terms:

10x^3 - 4x^2 + 14x - 15x^2 + 6x - 21

Now, combine like terms:

10x^3 - 19x^2 + 20x - 21

So, the simplified expression is 10x^3 - 19x^2 + 20x - 21.

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Answer:

Step-by-step explanation:

Answer:

The number is -10.4

Explanation:

Assume that the number we are looking for is x.

Now, we want to get 10 times te sum of half the number and 6 and equate this expression to 8. Then we can solve for x

Let's take this step by step:

half the number is 0.5x

the sum of half the number and 6 is 0.5x + 6

10 times the sum of half the number and 6 is 10(0.5x +6)

10 times the sum of half the number and 6 equals 8 is 10(0.5x+6) = 8

Now we can solve for x as follows:

10(0.5x + 6) = 8

5x + 60 = 8

5x = 8 - 60

5x = -52

x = -52/5

x = -10.4

Hope this helps :)

Answer:

Centerville is 13 kilometers away from Manchester

Step-by-step explanation:

26.1 - 13.1 = 13

Answer:

Plot a point at (0,5) the plot a point at (1,8) (2,11) etc...

Step-by-step explanation:

Answer:

1,101.375 square feet

Explanation:

To find the area of the pavilion, we multiply the width by the length.

Since width = 24.75 ft and the length = 44.5 ft, the area is

We multiply the above numbers using the box method

Answer:

7 units

Step-by-step explanation:

Its 7 units because its on the same line, but they are several units apart, up and down.

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

Work Shown:

A = old price = 320

B = new price = 400

C = percent change

C = [ (B-A)/A ] * 100%

C = [ (400-320)/320 ] * 100%

C = (80/320)*100%

C = 0.25*100%

C = 25%

The positive C value indicates a percent increase.

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

A slightly alternative method:

A = old price = 320

B = new price = 400

C = change in price

C = B-A

C = 400-320

C = 80 is the price increase

D = percent change

D = (C/A)*100%

D = (80/320)*100%

D = 0.25*100%

D = 25%

We get the same result as before.

Answer:

Step-by-step explanation:

a) Rearranging the given data in ascending order, it becomes

36, 38, 43, 44, 44, 45, 50, 55, 56, 57, 56, 60, 62, 65, 69

n = 15

The mean = (55 + 56 + 44 + 43 + 44 + 56 + 60 + 62 + 57 + 45 + 36 + 38 + 50 + 69 + 65)/15 = 52

Median = 55

b) Range = 69 - 36 = 33

The median divides the data set into two halves, lower and upper. The median of the lower halve is the first quartile, Q1 while the median of the upper halve is the third quartile, Q3

First quartile, Q1 = 44

Third quartile, Q3 = 60

Inter quartile range, IQR = Q3 - Q1 = 60 - 44 = 16

Variance = (summation(x - mean)²/n

Variance = (55 - 52)^2 + (56 - 52)^2 + (44 - 52)^2 + (43 - 52)^2 + (44 - 52)^2 + (56 - 52)^2 + (60 - 52)^2 + (62 - 52)^2 + (57 - 52)^2 + (45 - 52)^2 + (36 - 52)^2 + (38 - 52)^2 + (50 - 52)^2 + (69 - 52)^2 + (65 - 52)^2/15

Variance = 93.467

Standard deviation = √variance

Standard deviation = √93.467 =

9.668

The data does not contain any outliers.

The value of such that = k * 180, where k is an integer, is the value at which cotangent is undefinable.

Cotangent, or cot, is one of the six standard trigonometric functions. Cotangent of an angle is defined as the ratio of the adjacent side to the opposite side of a right-angled triangle.

The value of cotangent is undefined when the denominator is zero. This implies that cotangent is undefined at angles where the value of sine is zero.

Since the sine function is periodic and has a period of 360 degrees, the values of sine repeat themselves after every 360 degrees.

For this reason, cotangent is undefined at angles such that θ = k * 180, where k is an integer.

That is, cotangent is undefined at 0°, 180°, 360°, and so on. It is also important to note that cotangent is a periodic function, and its values repeat every 180 degrees.

Therefore, cotangent is undefined at 0° + k * 180°, where k is an integer.

To summarize, the value of Θ at which cotangent is undefined is such that θ = k * 180, where k is an integer.

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(a) The sum of the series 1+2+3+4+...+392 is 77,028.

(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).

(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.

To solve the exercise using Polya's four-step problem-solving strategy, we will apply the procedures presented in the lesson.

(a) For the series 1+2+3+4+...+392:

Using the arithmetic series formula Sn = (n/2)(a + l), where n is the number of terms, a is the first term, and l is the last term, we can substitute the values: Sn = (392/2)(1 + 392) = 196(393) = 77,028.

(b) For the series 1+2+3+4...x:

To find the sum of this series, we need to know the number of terms (n) based on the value of x. Since the series follows a consecutive pattern, the number of terms will be equal to x itself. Thus, the sum of the series would be Sn = (x/2)(1 + x).

(c) For the series 546 + 547 + 548 + 549:

Using the arithmetic series formula Sn = (n/2)(a + l), we can determine the number of terms (n) by subtracting 546 from 549 and then adding 1: n = 549 - 546 + 1 = 4. Substituting the values into the formula: Sn = (4/2)(546 + 549) = 2(1095) = 2,190.

The final answer for each part is:

(a) The sum of the series 1+2+3+4+...+392 is 77,028.

(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).

(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.

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Answer:

548 > 373

Step-by-step explanation:

548 is greater than 373 because when we compare the digits from left to right, we find that the first digit of 548 (5) is greater than the first digit of 373 (3). Therefore, we can conclude that 548 is greater than 373.

The ">" symbol is used to represent "greater than" in mathematical comparisons.

Hope this helps!

Answer:

x=39 degrees

Step-by-step explanation:

Answer:

\({ \boxed{ \mathfrak{ \: answer : \: { \rm{ - \infin}} }}}\)

Step-by-step explanation:

\({ \rm{ \frac{( \cos \theta - \sin \theta) }{ \theta - \frac{\pi}{4} } }} \\ { \tt{ \{lim _{ \theta = \frac{\pi}{4} } \} }} \\ \\ \dashrightarrow \: { \rm{ \frac{( \cos \frac{\pi}{4} - \sin \frac{\pi}{4} ) }{ \frac{\pi}{4} - \frac{\pi}{4} } }} \\ \\ = { \rm{ \frac{0 - 1}{0} }} \\ \\ = { \rm{ \frac{ - 1}{0} }}\)

Answer:

- 7 < - 5

Step-by-step explanation:

Because negative 7 is technically lower than negative 5. Due to them being negative the more closer you are to -1 the more higher of a number it is. I don't know how to explain it but I hope that it makes sense!

Have a wonderful day! <33

Answer:

if you have a pic of question send it plz then will give answer

Step-by-step explanation:

Answer:

The height is 1.25m.

Step-by-step explanation:

Volume = 1/3 πr²h

Given:

V = 13.4 m³

r = 3.2 m

Asked: height (h)

Substitute the formula with the given values then solve

13.4m³ = 1/3π(3.2m)²h

13.4(3) = 10.24πh

40.2 = 10.24πh

h = 40.2/10.24π

h = 1.25m

The height of the cone is 1.25 meters.

We know that the volume of the cone is given by

V = (1 / 3) * π * r ^2 * h................equation 1

where,

V is the volume of the cone.

r is the radius of the cone's base

h is the height

The volume and radius of the cone are given,

V = 13.4 m

r = 3.2m

substituting these values in equation 1 we get,

13.4 = (1 / 3) * 3.14 * 3.2 ^ 2 * h

on simplifying further

13.4 = 10.717  * h

h = 1.25m

The height of the cone is 1.25 meters.

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Answer: 21:9 and 42:18

Step-by-step explanation:

14:6 at its most basic form is 7:3, so find anything that could be equal to this if a number is multiplied on both sides.

21:9 is our simplified ratio multiplied by 3 on both sides.

42:18 is our simplified ratio multiplied by 6 on both sides.

But, the final ratio doesn't work, because 7 and 3 respectively cannot multiply to 13 and 8 with the same value.