The angles of a triangle are in the ratio 1 : 4 : 5.
Work out the size of the smallest angle?

Answer:

Step-by-step explanation:

E is just that Vertex/Angle.

[tex]sin[/tex] is a measure of an angle.

You should learn SOHCAHTOA

[tex]sin = opposite/hypotenuse\\cos(ine) = adjacent/hypotenuse\\tan(gent)=opposite/adjacent[/tex]

The opposite side is relative to the angle.

In this case, the opposite of E is 20

The hypotenuse is 29

so,

[tex]sin(E)= \frac{20}{29}[/tex]

Answer:

[tex]\huge\boxed{-32a^2b+7a^2+3b^2-35ab-a+40b+3}[/tex]

Step-by-step explanation:

[tex]7b(2a^2+5a-7)\qquad|\text{use the distributive property}\\\\=(7b)(2a^2)+(7b)(5a)+(7b)(-7)=14a^2b+35ab-49b\\\\\\(7a^2-a+3)-3b(6a^2-b+3)\qquad|\text{use the distributive property}\\\\=7a^2-a+3+(-3b)(6a^2)+(-3b)(-b)+(-3b)(3)\\\\=7a^2-a+3-18a^2b+3b^2-9b[/tex]

Substraction

[tex](7a^2-a+3-18a^2b+3b^2-9b)-(14a^2b+35ab-49b)\\\\=7a^2-a+3-18a^2b+3b^2-9b-14a^2b-35ab+49b\\\\\text{combine like terms}\\\\=(-18a^2b-14a^2b)+7a^2+3b^2-35ab-a+(-9b+49b)+3\\\\=-32a^2b+7a^2+3b^2-35ab-a+40b+3[/tex]

Answer:

3x + 15

Step-by-step explanation:

when distributing, multiply the number outside of the parentheses by the numbers inside the parentheses.

Hey there!

3(x + 5)

DISTRIBUTE 3 WITHIN the PARENTHESES

= 3(x) + 3(5)

= 3x + 15

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

The parent function is y = x³.

After a vertical stretch by a factor of 3, obtain

y = 3x³

After a horizontal shift 4 unit to the right, obtain

y = 3(x - 4)³

After a vertical shift 3 units down, obtain

y = 3(x - 4)³ - 3

Answer:   y = 3(x - 4)³ - 3

y = 3(x - 4)³ - 3  is the equation of y=x³ with the given transformations

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Graph transformation is the process by which an existing graph, or graphed equation, is modified to produce a variation of the proceeding graph.

The given equation is y=x³

A translation of a graph is its rigid movement, vertically or horizontally.

From given we have,

There is a vertical stretch of 3 units, hence the function is multiplied by 3.

There is a horizontal shift of 4 units to the right, hence x -> x - 4.

There is a vertical shift of 3 units down, hence 3 is subtracted from the function.

The required equation is given by y = 3(x - 4)³ - 3.

Hence  y = 3(x - 4)³ - 3  is the equation of y=x³ with the given transformations

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Answer:

x-20=66

Step-by-step explanation:

Jenny's score can be written as a variable x. 20 less than x is x-20. The answer is 66, so that will be on the other side of the equation. The equation is written as: x-20=66.

Hope this helps you!! Have a great day ^^

Answer:

part a)15

part b)330

Step-by-step explanation:

(a) The road distance between Wrexham and Oswestry is 15 miles.

(b) The number of miles Sarah travels to and from work each week is 330 miles.

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

Given a chart of the road distances between various towns and cities.

(a) From the chart,

Distance the corresponds to Wrexham and Oswestry = 15 miles

Road distance between Wrexham and Oswestry is 15 miles.

(b) Distance between Ruthin and Oswestry = 33 miles

Total distance travelled to and from work in a day = 33 × 2 = 66 miles

She works 5 days a week.

Total distance travelled for 5 days = 66 × 5 = 330 miles

Hence the number of miles travelled by Sarah in a week is 330 miles.

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The chart is given below.

Answer:No it is not proportional

Step-by-step explanation:

The reason non proportional is not proportional is bc it's not proportional.

Answer:

It's not proportional

Step-by-step explanation:

I can tell you that if you have, for example, 2 spring rolls and they are eaten by 4 people, then 1 spring roll is eaten by 2 people. That is proportional, becuase the amount of people is always dependened of the amount of spring rolls. But here, for 1 hour here, you get paid 52 dollars. If it was proportional, for 2 hours you'd be paid 104 dollars.

Answer:

4x-28+8

Step-by-step explanation:

Complete Question:

Henry places x marbles into an empty bucket.  Each marble has the same weight. The weight, in ounces, of the bucket and marbles can be calculated using the expression shown: ​3x + 8

What does the term 8 represent in this expression?

Answer:

The weight of the bucket

Step-by-step explanation:

Given

[tex]Weight = 3x + 8[/tex]

Required

What does 8 represent?

The given expression illustrates the weight of the whole system i.e. bucket and marbles

i.e.

[tex]Weight = Weight\ of\ x\ marble + Weight\ of\ Bucket[/tex]

Since there are x marbles, by comparison:

[tex]Weight\ of\ x\ marble = 3x[/tex]

[tex]Weight\ of\ bucket = 8[/tex]

Hence, 8 represents the weight of the bucket

Answer:

The slope would be 0

Step-by-step explanation:

The y is the same, and it's not rising or running. The y will never change no matter what x is. Hope this helps!

Answer:

See my explanation below.

Step-by-step explanation:

Let's start with two random mixed numbers.

[tex]4\frac{3}{5}[/tex] ÷ [tex]5\frac{1}{4}[/tex]

The first step is starting with [tex]4\frac{3}{5}[/tex]. Think about going from the denominator to the number on the left. After you remember that rule multiply 4 by 5. You should get 20. After that, you add by the numerator. 20 + 3=23

This is how it would be written.

[tex]\frac{23}{5}[/tex]

Do the same for the next mixed number. 5 x 4 = 20 and add by the numerator 21.

[tex]\frac{21}{4}[/tex]

After this is done. You will multiply by those fractions. [tex]\frac{23}{5}[/tex] x [tex]\frac{21}{4}[/tex] = [tex]\frac{483}{20}[/tex] we would write it as [tex]24\frac{3}{20}[/tex] as a mixed fraction.

I hope this helps!

Answer:

x = 8

Step-by-step explanation:

Given

- 2(- 3x + 3) + 2x = 58 ← distribute and simplify left side

6x - 6 + 2x = 58

8x - 6 = 58 ( add 6 to both sides )

8x = 64 ( divide both sides by 8 )

x = 8

Answer:

30 questions

Step-by-step explanation:

if you cross multiply and divide like this,

[tex]\frac{27}{x}= \frac{90}{100}[/tex]

27 x 100 = 2700

2700 / 90 = 30

you'll get ; 30 !

Answer:

There are 30 total questions on the exam

Explanation:

90% = 0.9

0.9 x TOTAL = 27

27/ 0.9 = TOTAL

30 = TOTAL

Answer:

28

Step-by-step explanation:

the pattern is 7. 35 - 7 = 28

Answer:

4

Step-by-step explanation:

8/2=4

hope this helps :3

if it did pls mark brainliest

Answer:

try math-way

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

9y+3=0 is linear

y-4x=1 is linear

y=2+6x4 is not linear

x-2y=7 is linear

x/y+1=2 is linear

Answer:

Step-by-step explanation:

1.

The x's and y's will shift to the right and upward. This will make the shape larger because we are multiplying each point (x, y) by 2 [2(x, y)]. The new shape is similar since it is practically the same exact figure with a different scale. Furthermore, the angle measurements are congruent.

2. This will shift the x's and the y's upward and to the right making the shape larger although the shape will be stretched and will not be similar in terms of angle measures and other factors.

3. This will make the figure larger although the angle measurements will not be preserved and a new shape will form. This will not be similar from the original one since it will be stretched and the angles measurements are not congruent..

It follows a pattern

Step-by-step explanation:

So I guess it's B?

Answer:

0

Step-by-step explanation:

g(-1)=3×(-1)²-2×(-1)-5 g(-1)=3×1+2-5 g(-1)=3+2-5 g(-1)=5-5 g(-1)=0 ......

The value of g(x) = 3x² - 2x - 5, at x = -1 is g(-1) and it is equal to zero.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, A function g(x) = 3x² - 2x - 5.

Now, The value of g(-1) is the same as x = - 1 in g(x).

Therefore, g(-1) = 3(-1)² - 2(-1) - 5.

g(-1) = 3 + 2 - 5.

g(-1) = 0.

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Answer:

1) Three increased by a number: 3+x

2) The sum of nine and eight: 9+8

3) Nine divided by a number: 9/x

4) The sum of nine and a number : 9+x

5) A number divided by 9: x/9

6) Nine less than a number: x-9

7) The product of nine and a number: 9n

Step-by-step explanation:

You have to match statements with their mathematical expressions.

I will match the statements with their mathematical forms.

1) Three increased by a number: 3+x

2) The sum of nine and eight: 9+8

3) Nine divided by a number: 9/x

4) The sum of nine and a number : 9+x

5) A number divided by 9: x/9

6) Nine less than a number: x-9

7) The product of nine and a number: 9n

tick number 1 and 5. because if 30%=120 , therefore 100%= 100/30*120=400

Answer:

O and N is a function

K is not a function.

Step-by-step explanation:

O and N is solved for X perfectly, but K has mixed variables so there isn't a y-intercept.

Answer:

x = -11

Step-by-step explanation:

9x+42=4x-13

(add 13 to both sides)

9x+55=4x

(subtract 9x from both sides)

55=-5x

(divide by -5)

-11 = x

You isolate the x term basically.

First you bring 4x from the right hand side to the left hand side and so the equation would be: 9x - 4x + 42 = -13

Then you bring 42 from the left hand side to the right hand side so the equation would look something like this: 9x - 4x = -13 - 42

Next subtract the x terms and the numbers on the right hand side too so you get: 5x = -55

Remove the coefficient from x and bring it to the right hand side with the operation as division. So you get: x = -55/5

Solve the division and you get: x = -11

:D

Answer:

1.06666666667. this could be wrong as I got this of Google. or 1.06 . btw idk how to explain it

supplementary angles

converse of alternate interior angles theorem

Answer:

x = 3 or x = -3

Step-by-step explanation:

x^2 -9 =0

x^2 = 9

x = 3 or x = -3

Step-by-step explanation:

if your question is

x²+5-14=0

x²-9=0

x²=9

x=√9

x=3 ans

Answer:

y=2x=2

Step-by-step explanation:

bc the line is to the right and going up so it makes it positive and it crosses 2 on the y axis and it goes up 2 times each time