what is the cosine rule

Answer:

3rd option

Step-by-step explanation:

The sample space of outcomes, when two spinners, one with three equally sized sectors labeled R, S, and T and the other with two equally sized sectors labeled 3 and 5 spun once, is {R3, R5, S3, S5, T3, T5}.

Sample space is the set of all the possible values or the outcomes of an event.

Let suppose the coin is tossed two times. Then the set of possible outcomes or sample space of it can be given as,

[tex]S=\{HH,HT,TH,TT\}[/tex]

Here, H denotes the head and T denotes the tail part of the coin.

In the given problem,

One spinner has three equally sized sectors labeled R, S, and T. A second spinner has two equally sized sectors labeled 3 and 5. Each spinner is spun once.

The sample space when are {R3, R5, S3, S5, T3, T5}. Thus, there is a total of 6 outcomes of the event.

Hence, the sample space of outcomes, when two spinners, one with three equally sized sectors labeled R, S, and T and the other with two equally sized sectors labeled 3 and 5 spun once, is {R3, R5, S3, S5, T3, T5}.

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Answer: $14.96

Step-by-step explanation:

13.98 + .98 = 14.96

The total amount paid by Sally is $ 14.96

What is Sales Tax?

The Sales tax is calculated by the equation

Sales tax rate = Sales tax percent / 100

Sales tax = List price x Sales tax rate

Given data ,

List price of the shirt Sally bought = $ 6.99

Number of shirts Sally bought = 2 shirts

Total price of 2 shirts = 2 x 6.99

                                    = $ 13.98

So , List price = $ 13.98

Sales tax rate = 7 %

Total amount paid by Sally = List price + Sales tax

Now , Sales tax is calculated by

Sales tax = List price x Sales tax rate

                = 13.98 x 0.07

                = 0.9786

Therefore , total amount paid by Sally = List price + Sales tax

                                                               = 13.98 + 0.9786

                                                               = $ 14.9586

                                                               ≈ $ 14.96

Hence , the total amount paid by Sally is $ 14.96

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Answer: NO GAIN for the shopkeeper

Step-by-step explanation:

20/100 *5000=1000

Answer:

[tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = 9 ,\ x \neq 0[/tex]

General Formulas and Concepts:

Pre-Algebra

Evaluations

Order of Operations: BPEMDAS

Algebra I

Distributive Property

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

[tex]\displaystyle \frac{4(3x)^2}{(2x)^2}[/tex]

Step 2: Simplify:

[tex]\\ \sf\longmapsto \dfrac{4(3x)^2}{(2x)^2}[/tex]

[tex]\\ \sf\longmapsto\dfrac{ 4(9x^2)}{4x^2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{36x^2}{4x^2}[/tex]

[tex]\\ \sf\longmapsto \dfrac{x^2}{x^2}\left(\dfrac{36}{4}\right)[/tex]

[tex]\\ \sf\longmapsto \dfrac{36}{4}[/tex]

[tex]\\ \sf\longmapsto 9[/tex]

Answer:

1st

Step-by-step explanation:

1) 1m cost = $8.28/0.3=$27.60/m

2) 1m cost = $ 13.00/0.4=$32.5/m

Answer:

check online for more information

Answer:

-259

Step-by-step explanation:

brainliest

Answer:

-259

Step-by-step explanation:

Subtracting a negative number is the same as adding a positive number — that is, go up on the number line. This rule works regardless of whether you start with a positive number or a negative number.

When subtracting a negative number, remember that the two back-to-back minus signs cancel each other out, leaving you with a plus sign.

Subtracting Negative and Positive Integers

To subtract integers, change the sign on the integer that is to be subtracted.

If both signs are positive, the answer will be positive.

Example: 14 - (-6) = 14 + 6 = 20

If both signs are negative, the answer will be negative.

Example: -14 - (+6) = -14 - 6 = -20

If the signs are different subtract the smaller absolute value from the larger absolute value. The sign will be the sign of the integer that produced the larger absolute value.

Example: 14 - (+6) = 14 - 6 = 8

Example: -14 - (-6) = -14 + 6 = -8

Step-by-step explanation:

Distributive property

Answer:

x = 4

Step-by-step explanation:

3 + x = 7 ( isolate x by subtracting 3 from both sides )

x = 7 - 3 = 4

Answer:

x=4

Step-by-step explanation:

3+x=7

Subtract 3 from both sides as Subtraction is the opposite of Addition.

So 7-3 = 4

X=4

Answer:

  B = (-17, -29)

Step-by-step explanation:

The midpoint (M) of AB is ...

  M = (A +B)/2

Solving for B gives ...

  B = 2M -A = 2(-9, -10) -(-1, 9) = (-18+1, -20 -9)

  B = (-17, -29)

Answer:

(3,3)

Step-by-step explanation:

To find the y - value that corresponds to x=3 , substitute the x - value in the equation.

y=4x-9

y=4*3-9

y=12-9

y=3

Therefore, (3/3) is the solution to the equation.

I hope it helps.

Answer:3,3

Step-by-step explanation: bc khan

Answer:

B is correct

Step-by-step explanation:

adding the amount taken away and then subtracting it is the same as subtracting twice

Answer:

either b or c

Step-by-step explanation:

the answer might be 18.64 but im actually kinda du.mb so its probably not right.

Answer:

is 10 points alot? the other guy don't think so

Answer:

C

Step-by-step explanation:

yeah-ya............... right?

The distance between points A (3, -5) and A' (2, -3) is 2.4 units.

Given that,

The points A (3, -5) and A' (2, -3).

We have to determine,

The distance between point A and A'.

According  to the question,

The distance between two points is determined by using the distance formula.

[tex]\rm Distance \ formula = \sqrt{(x_2-x_2) ^2+ (y_2-y_2)^2[/tex]

Then,

The distance between points A (3, -5) and A' (2, -3) is,

[tex]\rm Distance = \sqrt{(2-3) ^2+ ((-3)-(-5))^2}\\\\ Distance = \sqrt{(-1) ^2+ (2)^2}\\\\ Distance = \sqrt{1+4}\\\\Distance = \sqrt{5}\\\\Distance = 2.4 \ units[/tex]

Hence, The distance between points A (3, -5) and A' (2, -3) is 2.4 units.

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Answer:

13.6 units

Step-by-step explanation:

Edge

Answer:

(a): 10 civil servants who were absent.

(b): 15 civil servants are in field only.

Step-by-step explanation:

Let;

[tex]{ \rm{ \sum(n) = 90}} \\ \\ { \rm{n(o) = 65}} \\ \\ { \rm{n(f) = 50}} \\ \\ { \rm{(o \: { \huge{n}} \: f) = 35}}[/tex]

Question (a):

Let the absentees be x

[tex]{ \rm{x + (65 - 35) + (50 - 35) + 35 = 90}} \\ \\ { \rm{x + 80 = 90}} \\ \\ { \rm{x = 10}}[/tex]

There are 10 absentees.

Question (b):

Servants in field only;

[tex]{ \rm{n(f \: only) = 50 - 35}} \\ \\ { \rm{n(f \: only) = 15 \: servants}}[/tex]

The average rate of change between the interval x = 0.5 to x = 3.5 is: 5.

x = 3.5 represents 3.5 hours after noon.

Given an interval of x = a to x = b, the average rate of change over the given interval of a function can be calculated using the formula below:

[tex]\frac{f(b) - f(a)}{b - a}[/tex]

Given table representing the function as shown in the image attached below, let's determine the average rate of change for x = 0.5 to x = 3.5.

a = 0.5

f(a) = 47 (from the table, when x = 0.5, y = 47)

b = 3.5

f(b) = 62 (from the table, when x = 3.5, y = 62)

Plug the values into [tex]\frac{f(b) - f(a)}{b - a}[/tex]

Average rate of change = [tex]\frac{62 - 47}{3.5 - 0.5} = \frac{15}{3} = 5[/tex]

Average rate of change = 5

x = 3.5 represents 3.5 hours after noon.

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We have: 540° = 180° - x° + 180° - 52° + 93° + 180° - (x+3)° + 180° - 78°

⇒ 2x° = 140° ⇒ x° = 70°

The answer is C. 70°

ok done. Thank to me :>

The correct option is B. Distributive property

Given,

[tex]\frac{2}{3} x+7=-5\\[/tex]

On solving the above equation,

multiplying both sides by 3 we, get

[tex]2x+21=-15[/tex]

now subtracting 21 from both the sides,

[tex]2x=-36\\[/tex]

dividing both the sides by 2 we get,

[tex]x=-18[/tex]

Since in the above steps we follow all the giving property except the distributive property.

Hence the correct option is B. Distributive property.

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Answer: 10

Step-by-step explanation: d = √(x^²-x^₁)^2+(y^²-y^₁)^2 d = √ (-3-5)^2+ (-5-1)^2 d = √(-8)^2 + (-6)^2 d = √64+36 d = √100 d = 10

Answer: B

Step-by-step explanation: this equation is written in slope intercept form, which represents: y = mx + b. m = the slope and b = the y intercept.  

The y intercept of that line 3, since that is the value of y when x equals 0. If we go from that point to the next one up. Notice how the value of x and y is changing. We go over by 1 and up by 2. That can be written as 2/-1 or 2.

HOWEVER, since the slope is going down from right to left, it has a a negative slope. Meaning the slope is a -2 not a positive 2.

Now, let's insert our values into the equation y = mx + b. That would be:

y = -2x + 3 which is B and therefore our answer

perimeter of the rectangle = 2 ( l + b )

4x + 10 = 40

4x = 40 10 ( transpose 10 to RHS )

x = 30/4 = 7.5 ( divide both sides by 4 )

ATQ

[tex]\\ \sf\longmapsto 2(x+x+5)=40[/tex]

[tex]\\ \sf\longmapsto 2(2x+5)=40[/tex]

[tex]\\ \sf\longmapsto 2x+5=20[/tex]

[tex]\\ \sf\longmapsto 2x=15[/tex]

[tex]\\ \sf\longmapsto x=7.5[/tex]

Answer:

Henry payed $ll.70

Step-by-step explanation:

1.20 times 9 3/4 (or 9.75) equals 11.7

Answer:

equation: 41+4x=45.80

answer: x=1.20

Step-by-step explanation:

The equation is $45.80 = $41 + ($4 × x) which can be used to determine the number of gigabytes of data Nathaniel can use while staying within his budget. And Nathaniel can use up to 1.2 gigabytes of data while staying within his budget of $45.80 per month.

Let's denote the number of gigabytes of data Nathaniel can use as x.

Then the equation representing his cell phone bill can be set up as:

Total cost = Flat cost + (Cost per gigabyte × Number of gigabytes)

$45.80 = $41 + ($4 × x)

Now, we can solve for x:

$4 × x = $45.80 - $41

$4 × x = $4.80

x = $4.80 / $4

x = 1.2

So, Nathaniel can use up to 1.2 gigabytes of data while staying within his budget of $45.80 per month.

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The sum in terms of p of four consecutive even integers with p been the smallest is 4(p + 3)

Even numbers are numbers that can be divided into two equal groups and they can be easily divisible by 2 without any remainder.

p is the smallest of the four consecutive even integers. This means p come first and it is the first term of the numbers.

Therefore, the 4 consecutive even integers is represented as follows;

p, p + 2, p + 4, p + 6

So the sum is equal to:

sum = p + p + 2 + p + 4 + p + 6

sum = 4p + 12

sum = 4(p + 3)

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Answer:

1.25 mi

Step-by-step explanation:

First, we want to convert a yard into feet; recall 1 yard = 3 feet.

Then we want to divide that by the number of feet in a mile 1 mile = 5280feet.

So 2200*3 =6600, then divide by 5280

6600/5280 = 1.25 mi

2200 yard is 1.25 miles

There are 1.3 miles in 2,200 yards.

It is the conversion of one unit to another unit with its standard conversion.

Examples:

1 hour = 60 minutes

1 minute = 60 seconds

1 km = 1000 m

We have,

2,200 yards ____(1)

1 mile = 1760 yards _____(2)

Now,

From (1) and (2),

1 mile = 1760 yards

Multiply 2,200/1760 on both sides.

2,200/1760 x 1 mile = 2,200/1760 x 1760 yards

1.25 miles = 2,200 yards

Rounding to the nearest tenths.

1.3 miles = 2,200 yards

Thus,

There are 1.3 miles in 2,200 yards.

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The solution of the given equation is (3,6). The correct option is B.(3,6)

[tex]y=x+3.......(1)\\4x+y=18.....(2)[/tex]

putting the value of y from equation (1) in equation (2) , we get

[tex]4x+x+3=18\\[/tex][tex]5x=18-3\\5x=15\\x=3[/tex]

substitute the value of x=3 in equation (1) we get,

[tex]y=3+3\\y=6[/tex]

Hence, the solution of given equation is (3,6).

So, the correct option is B.

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Answer:

Therefore, |x-1|>0

=> (x-1)>0 or - (x-1)>0

=> x > 1 or x < 1

=> (- infinity, 1) U (1, infinity)