There are some sweets in a bag 18 of the sweets are toffees and 12are mints write down the ratio of them in the simplest form

Answer:

36 degrees.

Step-by-step explanation:

All the angles in a triangle add up to be 180 degrees. Since the ratio is 1:2:2, you can say that the angles are x, 2x, and 2x.

x + 2x + 2x = 180

5x = 180

x = 180 / 5

x = 36

Since the smallest part of the ratio is 1, the smallest angle is 36 degrees.

Hope this helps!

Answer:

x<12

Step-by-step explanation:

Divide both sides by 5

5(x+5) < 85

   5         5      

then simply

Answer:

x < 12

Step-by-step explanation:

[tex]5(x+5)<85\\\\5 * x = 5x\\\\5 * 5 = 25\\\\5x+25<85\\\\5x+25-25<85-25\\\\5x<60\\\\\frac{5x}{5}<\frac{60}{5}\\ \boxed{x<12}[/tex]

Answer:

28.07° ; 70.53° ; 53.13° ; 36.87°

Step-by-step explanation:

Using PYTHAGORAS RULE :

IMAGE 1:

value of cos α equals :

cos α = Adjacent / Hypotenus

cos α = 15 / 17

cos α = 0.88235

α = cos^-1 (0.88235)

α = 28.07°

IMAGE 2:

sin β = Opposite / Hypotenus

sin β = 14√2 / 21

sin β = 0.9428

β = sin^-1(0.9428)

β = 70.53°

IMAGE 3:

From trigonometry :

cot = 1 / tan

Tan = Opposite / Adjacent

Therefore, Cot = Adjacent / Opposite

cot γ = 3/4

cot γ = 0.75

γ = cot^-1 (0.75)

γ = 53.13°

IMAGE 4:

tan α = Opposite / Adjacent

tan α = 15 / 20

tan α = 0.75

α = tan^-1 (0.75)

α = 36.87°

Answer:

15

Step-by-step explanation:

Answer:

[tex]8x^{2} -3x-5[/tex]

Step-by-step explanation:

[tex]8x^{2} +4x+4-7x-9[/tex]

[tex]8x^{2} +4x-7x+4-9[/tex]

[tex]8x^{2} -3x-5[/tex]

Answer:

Step-by-step explanation:

Circumference C=2πr  r=radius [tex]\pi =3.14[/tex]

C=2(3.14)9.7

C=60.9

Answer:

See Explanation Below

Step-by-step explanation:

Given

[tex](sin x - cos x)^2 = sec^2x - tan^2x - 2sinx.cos x.[/tex]

Required

Prove

To start with; we open the bracket on the left hand side

[tex](sin x - cos x)^2 = (sin x - cos x)(sin x - cos x)[/tex]

[tex](sin x - cos x)^2 = (sin x )(sin x - cos x)- (cos x)(sin x - cos x)[/tex]

[tex](sin x - cos x)^2 = sin^2 x -sinx cos x - sin xcos x + cos^2 x[/tex]

[tex](sin x - cos x)^2 = sin^2 x -2sinx cos x + cos^2 x[/tex]

Reorder

[tex](sin x - cos x)^2 = sin^2 x + cos^2 x - 2sinx cos x[/tex]

From trigonometry;

[tex]sin^2x + cos^2x = 1[/tex]

So;

[tex](sin x - cos x)^2 = sin^2 x + cos^2 x - 2sinx cos x[/tex]

becomes

[tex](sin x - cos x)^2 = 1 - 2sinx cos x[/tex]

Also from trigonometry;

[tex]sec^2x - tan^2x = 1[/tex]

So,  

[tex](sin x - cos x)^2 = 1 - 2sinx cos x[/tex]

becomes

[tex](sin x - cos x)^2 = sec^2x - tan^2x - 2sinx cos x[/tex]

Proved

Answer:

Neither angle P nor angle Q is exactly 45 degrees, but both are closer to 45 degrees than are the other choices.

Step-by-step explanation:

Answer:

B. ( - 2, - 5)

Step-by-step explanation:

Coordinates of point A are ( - 2, - 5).

Answer:

integers, rational numbers

Explanation:

Integers are any whole number (positive or negative). -5 is a whole number, not a fraction or decimal.

Rational numbers can be written in the fraction form a/b where a and b are both integers and b does not equal 0. -5 can be written as -5/1.

There are two sets of real numbers that include the number -5. which represents integers and rational numbers.

A rational number is defined as a numerical representation of a part of a whole that represents a fraction number.

It can be a/b of two integers, a numerator a, and a non-zero denominator b.

Integers are defined as the collection of Whole Numbers and the negative values of Natural Numbers make up an integer. Fractional numbers are not included in integers. Integers are represented by the symbol Z.

The result is rational because -5, can be expressed as a ratio of two integers that can be -5/1 of two integers, a numerator 5, and denominator 1 ( which is a non-zero).

There are two sets of real numbers that include the number -5.

It represents Integers and rational numbers.

Hence, the correct answer would be Option (C).

Learn more about Integers here :

brainly.com/question/1768254

#SPJ2

Answer:

B

2(6)+4 > 16             x > 6                 2(7) + 4 > 16

12+4=16                                            14+4>16       18>16

Answer: Collected amount÷total amount x 100

Step-by-step explanation:

Food and drinks = [tex]\frac{27000}{54000}[/tex] x 100 = 50%

Entertainment = [tex]\frac{6000}{54000}[/tex] x 100 = 11% (11.1 - .1 recurring)

Games = [tex]\frac{12000}{54000}[/tex] x 100 = 22% (22.2- .2 recurring)

Donations = [tex]\frac{9000}{54000}[/tex] x 100 = 17% (16.6- .6 recurring)

Double checking - 50 + 11 + 22 + 17 = 100%

Hope this helps! :)

Answer:

Food & drinks = 50%

Entertainment = 11.1%

Games = 22.2%

Donations = 16.7%

Step-by-step explanation:

Basically, divide all of the amounts to $54000.

What I did was divide them, my answers are basically close to the exact percentage.

Answer:

c  sqrt( ( x2-x1) ^2 + ( (y2-y1) ^2)

Step-by-step explanation:

The distance formula is

d = sqrt( ( x2-x1) ^2 + ( (y2-y1) ^2)

It is the difference between the coordinates.  It is based on the Pythagorean theorem

Answer:

(A) It's 6/5     (B) It's 7/8  

Step-by-step explanation:

Divide each term by -6 simplify.

Hope this helped you! I don't understand the last one sorry.

Answer:

14- yes

15-No

16-11.5

Step-by-step explanation:

14- yes ( attached a picture) 5/6

15-no, because Direct Variation: It is known as the relationship between two variables where the variable quantities have a constant ratio.

8y=7x-27

     y=7/8 x-27/8

16- ky=x where k is the constant variation

k=166/83=2

ky=x when x=23

y=x/k=23/2=11.5

Answer:

40

Step-by-step explanation:

The sum equals 80 80/2=40

Answer:

3

Step-by-step explanation: If you write out all the numbers and you cross them out in order you will find that 3 is your median.

Answer:

C. mean =225.25, median= 212.5

Step-by-step explanation:

You add all the numbers and divided by the total numbers to get mean, and for get the median you need to put them in order and get the number that is between all the number it be the 202 and 223 so you divide the two number with two and it will be 212.5

Answer:

C. mean =225.25, median= 212.5

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The question is asking for what y would be when x is 2.

So, look on the graph where x = 2.

When x = 2, y = 6.

This means after 2 hours, the cost is $6

Answer:

D

Step-by-step explanation:

The figure A will be translated 6 units to the left to make it on figure B

Answer:

a

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

To solve this, we can make all of the numbers decimals.

π=3.14159265 and so on

Root 10 is about 3.16227766

22/7 is about 3.14285714

3.14 is already a decimal.

Now, our numbers are far easier to compare.

Let's put the numbers in increasing order.

3.14, 3.14159265, 3.14285714, 3.16227766

Substitute the original numbers in.

3.14, π, 22/7, Root 10

Therefore, option B is correct.

Answer:

5

Step-by-step explanation:

Let's call the original number x.

So, the first student did x+23, and the other student did x-1.

You know that the first students result was 7 times larger than the other students. So, you can make the equation:

x+23=7(x-1)

x+23=7x-7

Then, do the algebra

-6x=-30

x=5

Answer:

5

Step-by-step explanation:

let the number =x

x+23=7(x-1)

x+23=7x-7

7x-x=23+7

6x=30

x=30/6=5

Answer:

I'm guessing you would like to know what -4 - 6 is? It's -10.

Step-by-step explanation:

-4 - 6 = -10

You add -4 and 6, and you get -10. I hope this helped or you meant to phrase the question differently.

Answer:

The difference between -4 and 6 is 10

Step-by-step explanation:

Hope this helps :)

Answer: 65 grams

Step-by-step explanation:

If 130 grams of a gold alloy (a mixture of gold and one or more other metals) containing 85% pure gold, you should first calculate the amount of gold that makes up this percentage.

That is, 85% of 130 grams.

85/100 × 130 = 110.5

Then, let X be what will be added to the above value to make 90%. So,

(110.5 + X) / ( 130 + X ) × 100 = 90

Divide both sides by 100

(110.5 + X) / ( 130 + X ) = 90/100

(110.5 + X) / ( 130 + X ) = 0.9

Cross multiply and open the bracket

110.5 + X = 117 + 0.9X

Collect the like terms

X - 0.9X = 117 - 110.5

0.1X = 6.5

Divide both sides by 0.1

X = 6.5/0.1

X = 65 grams

Therefore, the amount of pure gold that should be added is 65 grams

Answer:

C. Multiply 3 by 18

Step-by-step explanation:

Susan reads:

1 page in 3 mins

So,

1 page = 3 mins

If we want the time for 18 pages, we would multiply both sides by 18

So,

18 pages = 3×18 mins

18 pages = 54 mins

Answer:

C

Step-by-step explanation:

1 page every 3 minutes

18 pages will take 3 × 18 = 54 minutes to read.

Answer:

8.5

Step-by-step explanation:

For this we will use trigonometry.

First lable the diagram: 13 will be the hypotenuse (H), x will be the opposite(O). Therefore, we will use sin as it is SOH.

sin Θ = [tex]\frac{O}{H}[/tex]

sin 41 = [tex]\frac{x}{13}[/tex]

x = 13 sin 41

Type this into the calculator, then you will get 8.5287677377. Round this to the nearest tenth will be 8.5.

As the question does not give any units, there will be no need to write any units after the answer.

Hope this helps

Answer: 8.53

Step-by-step explanation:

Calculated based on 2 given angles and 1 given side.

∠C = 180° - A - B = 49°

x = hypoteneuse·sin(A)/sin(B) = 8.53

Answer:

A

Step-by-step explanation:

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

Here b = 13 and h = 4 , thus

A = [tex]\frac{1}{2}[/tex] × 13 × 4 = [tex]\frac{1}{2}[/tex] × 52 = 26 units² → A

Answer:

A, 26

Step-by-step explanation:

Since the area of a triangle is one half base times height, and we have our height as 4, and our base as 13, we get 1/2 * 13 * 4, which is equal to 13 times 2, which is 26. Thus, our answer is A, 26.

Answer:

The x-value is between 2 and 3, and the y-value is between –4 and –5

Step-by-step explanation:

The system of equations:

y = 1/4x - 5

y = -1/2x - 3

is shown in the figure attached. There it can be seen that the solution is (2.667, -4.333). This can be corroborated as follows:

y = 1/4(2.667) - 5 = -4.333

y = -1/2(2.667) - 3 = -4.333

Answer:

A its a

Step-by-step explanation:

Answer:

-2/3

Step-by-step explanation:

We need a negative fraction

The numerator has to be smaller than the denominator to be between 0 and -1

Answer:3rd one

Step-by-step explanation:

X-4 /3 > -5

Multiply both sides by 3

X-4 > -15

Add 4 to both sides

X > -11

Answer:

[tex] \frac{x - 4}{3} > - 5[/tex]

[tex]x - 4 > 3 \times ( - 5)[/tex]

[tex]x - 4 > - 15[/tex]

[tex]x > - 15 + 4[/tex]

[tex]x > - 11[/tex]

Step-by-step explanation:

Answer:

Use this website it gives you the answer and show the work

math

way

dot

com

Step-by-step explanation:

Answer:

24a: n = 5/14

24b: p = 18

25a: (x + 11) (x - 12)

25b: x (x + 2) (x - 2)

Step-by-step explanation:

I hope this helps