6th grade students took a survey on their favorite subject.
The ratio of students whose favorite subject was Science to
students whose favorite subject was Math was 3:5. If 238
more students picked Math as their favorite subject, how many
students picked Science as their favorite subject?

Answer:

the missing angle is 46.8

Step-by-step explanation:

since all the angles in a triangle add up to 180, you can do the sum of the numbers that we know and subtract by 180

43.2+90= 133.2

180-133.2=46.8

so the missing angle is 46.8

we cant solve the sides of the triangle correctly without at least two known sides, and we only have one.

i hope this helps :)

The sides of the right triangle are AB = 2.27 m, BC = 3.2 m, and AC = 3.62 m.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

We are given that Angle B = 43.2 degrees, Angle C = 90 degrees and Side BC = 3.2 m

First, we can use the fact that the sum of the angles in a triangle is 180 degrees to find angle A:

Angle A = 180 degrees - Angle B - Angle C

Angle A = 180 degrees - 43.2 degrees - 90 degrees

Angle A = 46.8 degrees

Next, we can use the sine ratio to find the length of side AB:

sin(A) = opposite / hypotenuse

sin(46.8 degrees) = AB / 3.2 m

AB = sin(46.8 degrees) x 3.2 m

AB = 2.27 m

Finally, we can use the Pythagorean theorem to find the length of side AC:

AC² = AB² + BC²

AC²  = (2.27 m)² + (3.2 m)²

AC² = 13.15 m²

AC = sqrt(13.15) m

AC = 3.62 m

Therefore, the sides of the right triangle are AB = 2.27 m, BC = 3.2 m, and AC = 3.62 m.

To learn more on trigonometry click:

https://brainly.com/question/25122835

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The question that should be given:-

A bottle contains 12 litres of soda. Henry has 12 of these bottles. How much soda does he have in all? Write your answer in simplest form.

Solution :-

• 1 bottle contains 12 litres of soda

• Total number of bottles = 12

To calculate how much soda does Henry have in total l, we need to multiply the number of bottles and the number of litres in each bottle. So,

[tex]total \: soda = (12 \times 12)litres[/tex]

[tex]→144 \: litres[/tex]

Therefore, the total soda that Henry has in all is 144 litres

--------------------- ★ -----------------------

{ Note:- Even if it was any other number, then just multiply the given number of litres of soda into the total number of given bottles.

This means that,

Total Soda = Given litres of soda x Total bottles given

Ex:- Total bottles given is 2 bottles

and given number of litres in one bottle is 8, so, multiply 8 x 2 = 16.

This means that total number of litres is 16 litres. }

Given above is an example. Please do misunderstand it with the answer.

✍️ By Benjemin360 ☺️

Question lacks one information no of litres if soda present in 1bottle.

let

1bottle contains x litres of soda.

Hence.

12 bottles will contain

[tex]\\ \sf\longmapsto 12x\ell [/tex]of soda.

Answer:

True

Step-by-step explanation:

the two equations graphed intersect at the point (-1,2) and are perpendicular according to the graph.

Answer:

x=7

Step-by-step explanation:

x-15=7-5(x-4)

x-15=7-5x+20

+5x        +5x

6x-15=7+20

+15        +15

6x=7+20+15

6x=42

x=7

9514 1404 393

Answer:

  x = 7

Step-by-step explanation:

Eliminate parentheses and collect terms. Then solve the resulting 3-step linear equation.

  x -15 = 7 -5x +20

  x -15 = -5x +27

  6x -15 = 27 . . . . . . step 1, add 5x to put the variable term on one side

  6x = 42 . . . . . . . . . step 2, add 15 to put the constant term on the other side

  x = 7 . . . . . . . . . . . . step 3, divide by the coefficient of the variable

_____

Additional comment

The variable terms have coefficients 1 and -5. We choose to add the opposite of the term with the least coefficient (farthest left on the number line). That way, the variable term ends up with a positive coefficient.

Answer:

c

Step-by-step explanation:

sjsjsjsjsjsjsjsjsjs

Answer:

c

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

2/3 want to go

If there are 30 people, we can find our answer pretty easily as 30 is 10 times more than 3.

2/3 = 20/30

So 20 people would like to go :O

Hope this helps, have a nice day :))

Answer:

20 people want to go trick or treating

Step-by-step explanation:

2/3 of 30 is

2/3 *30= 20

20 out of 30 people want to go trick or treating.

Answer:

30 in

Step-by-step explanation:

the bottom needs to be longer

Answer: 2x+1+2x+3       X+3x+4    2(2x+2)

Step-by-step explanation:   X tiles are used on other x tiles, say you had, 2x+5y well you can’t add x to y

2(2x+2) is special cause this allows a different kind of tile, to multiply a different tile.

Answer:

In short your answer is Options 2, 3 and 4.

Step-by-step explanation:

Option 1:

If you distribute 4 among everything in the parenthesis, you'll get 4 × x = 4x and

4 × 4 = 16. Essentially your answer will be

4x + 16, so this is not equivalent.

Option 2:

If you combine like terms 2x and 2x, you'll get 4x, then add 3 and 1 to get 4. Your answer will be 4x + 4. So this is equivalent.

Option 3:

If you distribute 2 among everything in the parenthesis, you'll get 2 × 2x = 4x and 2 × 2 = 4. Essentially your answer will be 4x + 4, so this is equivalent.

Option 4:

If you combine like terms 3x and x, you'll get 4x. So essentially your answer is

4x + 4, so this is equivalent.

Hope this helped :)

Answer:

-4q+[tex]\frac{40}{3}[/tex]

Step-by-step explanation:

distribute [tex]\frac{-4}{3}[/tex] on the bracket. So, (3)([tex]\frac{-4}{3}[/tex])q-(10)([tex]\frac{-4}{3}[/tex])=-4q+[tex]\frac{40}{3}[/tex]

-7 -9 -11 is your answer hope it's helpful for you thankyou I

Answer: Add 5 each time

…2,7,12

Answer:

The building is 95.6159m tall.

Step-by-step explanation:

Both the pole and the building should have the same ratio of height to shadow length so we can come up with the equation:

[tex]\frac{2.6}{1.38}[/tex] = [tex]\frac{x}{50.75}[/tex]

Then solve for x, it will correspond to the height of the building.

x = 50.75([tex]\frac{2.6}{1.38}[/tex])

x = 95.6159m

Answer:

Step-by-step explanation:

[tex]2^{4-6x}=8^{1-x}\\\\2^{4-6x}=(2^{3})^{1-x}\\\\2^{4-6x}=2^{3*(1-x}}\\\\2^{4-6x}=2^{3-3x}[/tex]

Bases are equal, so compare the powers,

4 - 6x = 3 - 3x

Subtract 3 from both sides,

4 - 3 - 6x = -3x

1 - 6x = -3x

Add 6x to both sides

1 = -3x+ 6x

1 = 3x

Divide both sides by 3

1/3 = x

x = 1/3

Answer:

12=34+45

Step-by-step explanation:

34+12=34

Answer:

5x+28=7x-4

5x+32=7x

32=2x

x=16

Hope This Helps!!!

Answer:

x = 16

Step-by-step explanation:

(7x - 4) and (5x + 28) are alternate exterior angles and are congruent, so

7x - 4 = 5x + 28 ( subtract 5x from both sides )

2x - 4 = 28 ( add 4 to both sides )

2x = 32 ( divide both sides by 2 )

x = 16

Answer:

Answer to question 1 is 190 small pumpkins and 160 large pumpkins.

Answer to question 4 is 7 bags.

Step-by-step explanation for question 1:

190 = Small pumpkins

160 = Large pumpkins

190+160 = 350

So If you do 190 x 2 = £380

and 160 x 5 = £800

and 800+ 380 = £1,180

So Sal sold 190 small pumpkins and 160 large pumpkins!

Step By Step explanation for question 4:

£3.77x7= 26.39

£3.18x5=15.9

26.39+15.9 = 42.29.

So he bought 7 bags of £3.77 for his candys !

Answer:

x < 5

Step-by-step explanation:

= -4 < 16-4x

= 4x < 16+4

= 4x < 20

= 4x/4 < 20/4

= x < 5

4x4x4=64

20-64=-44

Answer = -44

Step-by-step explanation:

please mark me as brainlest

9514 1404 393

Answer:

Step-by-step explanation:

Let p represent the number of pigs. Then the number of ducks is 38-p and the number of legs is ...

  4p +2(38 -p) = 92

  2p = 16 . . . . . . . . . . . . collect terms, subtract 76

  p = 8 . . . . . . 8 pigs in the field

  38-p = 30 . . . number of ducks in the field

There are 30 ducks and 8 pigs in the field.

Answer:

400/5*2=160 ft^2

Step-by-step explanation:

Times the common multiple of 3 and 6, which is 6

 The larger rectangle takes up 5 parts and the smaller one takes up 2 parts, so 400/5 is the area of one part, times 2

Answer:

it is 4/15

Step-by-step explanation:

first divide 1/2 and 3/4, then multiply the answer by five

Answer:

0

Step-by-step explanation:

There are 2 ways to find slope. Slope is rise over run, meaning that it is the change in y over change in x. The first way is to use the formula. The formula is as follows [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]. Plug the coordinates into the equation and then simplify. This ends up looking like [tex]\frac{8-8}{4+3}[/tex] or [tex]\frac{0}{7}[/tex]. So the slope is just 0 because anything divided by 0 is 0. You could also get the answer of 0 by realizing that this is horizontal. All horizontal lines have a slope of 0.

Answer:

I think the negative numbers are for below sea level

Answer:

m<QTP= 45.5º

Step-by-step explanation:

180-89=91

since it is parallel ÷2

91÷2=45.5

Answer:

<QTP = 43 degrees

Step-by-step explanation:

5x - 32 = 3x (corresponding angles)

5x - 3x = 32

2x = 32

x = 32/2

x = 16

5x - 32 = 5(16)-32 = 48

< QTU = 89 (corresponding angles)

180- 89 - 48 = <QTP

43 degrees

Answer:

Daniela is 20 ft away from land while Briel is 25 ft away from land. They are 45 ft away from each other.

Step-by-step explanation:

Answer:

It’s briel

Step-by-step explanation: