use the diagram to find the value of x​

answer:

[tex]{ \tt{ \cos(100x) + \frac{4}{3} = 0}} \\ { \tt{ \cos(100x) = - \frac{4}{3} }} \\ { \tt{100x = { \cos }^{ - 1} ( - \frac{4}{3} )}} \\ { \tt{invalid \: answer}}[/tex]

Answer: 230 - the total amount of sweets.

Step-by-step explanation:

Adrian received 8 pieces of sweets;

Ben got 5 pieces of sweets;

Charlie received 10 pieces of sweets.

The sum of all parts:

8 + 5 + 10 = 23

Let's calculate how many parts Charlie got more than Adrian:

10 - 8 = 2

It is also known that Charlie received 20 more sweets than Adrian. This means that you can calculate how many sweets are in one part.

20 : 2 = 10

Now we can calculate the total amount of sweets:

10 × 23 = 230

Answer:

A. 4(x - 4) + 2(3x² + 3x - 20)

C. (11x² + 7x - 55)-(5x² - 3x + 1)

F. (3x² + 5x - 28) + (3x² + 5x - 28)

Step-by-step explanation:

Given:

(3x-7)(2x+8)

= 6x² + 24x - 14x - 56

=6x² + 10x - 56

A. 4(x - 4) + 2(3x² + 3x - 20)

= 4x - 16 + 6x² + 6x - 40

= 6x² + 10x - 56

B. (3x² + 5x - 28) - (2x² + 4x + 28)

= 3x² + 5x - 28 - 2x² - 4x - 28

= x² + x - 56

C. (11x² + 7x - 55)-(5x² - 3x + 1)

= 11x² + 7x - 55 - 5x² + 3x - 1

= 6x² + 10x - 56

D. 4(x - 4) - 2(3x² + 3x - 20)

= 4x - 16 - 6x² - 6x + 40

= - 6x² - 2x + 24

E. (11x² + 7x - 55)-(5x² - 3x + 2)

= 11x² + 7x - 55 - 5x² + 3x - 2

= 11x² - 5x² + 7x + 3x - 55 - 2

= 6x² + 10x - 57

F. (3x² + 5x - 28) + (3x² + 5x - 28)

= 3x² + 5x - 28 + 3x² + 5x - 28

= 6x² + 10x - 56

Answer:

Gradient = -3

Step-by-step explanation:

The gradient of the graph = change in y/change in x

Change in y = the vertical distance = 3 units

Change in x = the run/horizontal distance = 1 unit

The line slopes downward, so it's a negative gradient.

Thus:

Gradient = 3/1 = -3

Answer:

a)Fourth coordinate (- 4 , 1 )

b)Dimension : 6 unit by 3 unit

c)Area = 18 square units

Step-by-step explanation:

Given coordinates A = ( 2 , 1) , B = ( 2 , 4 ) , C= ( -4 , 4)

Find D.

Let D = (x , y)

For a rectangle, mid point of diagonal are same.

[tex]Mid - point \ of \ AC = ( \frac{2-4}{2}, \frac{4+1}{2}) = (-1, 2.5)\\\\Mid - point \ of \ BD = ( \frac{x+2}{2}, \frac{y+4}{2} )[/tex]

Since mid-points are same. Equate :

[tex]\frac{x+2}{2} = -1\\\\x+2 = -2\\\\x = -4[/tex]                

[tex]\frac{y+4}{2} = 2.5\\\\y + 4 = 5\\\\y = 1[/tex]

a)

Therefore, D = ( -4, 1)

Since parallel sides of a rectangle are the same.

We will find the length of the sides using distance formula.

Distance between ( 2, 1 ) and ( 2, 4)

[tex]Distance_{AB} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} } =\sqrt{(2-2)^2 + (4-1)^2 } = \sqrt{9} = 3[/tex]

AB = 3

Distance between ( 2 , 4 ) and ( -4 , 4)

[tex]Distance_{BC} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} } =\sqrt{(2--4)^2 + (4-4)^2 } = \sqrt{36} = 6[/tex]

BC= 6

CD is parallel to AB , therefore CD = 3

AD is parallel to BC,  therefore AD = 6

b) Dimensions : length = 6 , breadth = 3

c) Area = Length x Breadth

           = 6 x 3

           = 18 square units

Answer:

a ≈ 6.5 cm

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Geometry

Volume of a Cube Formula: V = a³

Step-by-step explanation:

Step 1: Define

Identify

V = 270 cm³

Step 2: Solve for a

Answer:

The length of it's side is 6.5 cm.

Step-by-step explanation:

Here's er have given that the Volume of cube is 270 cm³. And we have to find the length of its side rounded to 1DP.

To find the length of its side we apply the formula ; Volume of cube and then simplify .

Volume of cube = ( a )³

plug the values

270 cm ³ = a³

Taking cube root of both side

[tex] \small \sf \sqrt[3]{270 \: cm {}^{3} } = \sqrt[3]{a {}^{3} } [/tex]

6.4633 cm = a

Rewrite

a = 6.4633 cm

Round nearest to 1DP

a ≈ 6.5 cm

Hence , Length of it's side is 6.5 cm.

Answer:

x = 30 ml of 10%

50 - x = 20 ml of 15%

Step-by-step explanation:

0.10x + 0.15(50 - x) = 0.12(50)

distribute

0.10x + (7.5 - 0.15x) = 6

Combine like terms

-0.05x = -1.5

Divide both sides by -0.05

x = 30 ml of 10%

50 - x = 20 ml of 15%

Answer:

the solutions of x^2=16x-28 are

2) 2 and 14

Answer:

6,068

Step-by-step explanation:

the length of the segment AB is 7.7*sin(52°) = 6,068

Answer:

6,068

Step-by-step explanation:

the length of the segment AB is 7.7*sin(52°) = 6,068

Step-by-step explanation:

Answer:

the trapezoid will go on the side where it states "will have no pair of parallel sides"

Answer:

A trapezoid has at least one pair of parallel sides.

Step-by-step explanation:

Answer:

The area of the circular garden is approximately 7.1 square yards

Step-by-step explanation:

The given parameters are;

The area surrounding the circular garden = A rectangular grassy area

The area of the circular garden ≈ (1/2) × The base of the grassy rectangular area

The dimensions of the base of the rectangular grassy area = 6 yards by 3 yards

The diameter of the circle, D = 3 yards

The area of the rectangular grassy area = 6 yards × 3 yards = 18 yards²

∴ The approximate area of the circular garden = (1/2) × 18 yards² = 9 yards²

The area of the circular garden, A = π·D²/4

∴ A = 3.14 × (3 yards)²/4 = 7.065

The area of the circular garden, A ≈ 7.1 yd².

Answer:

(x+5)²+(y-4)²=17

Step-by-step explanation:

I think it's safe to assume that the (-5,4) coordinate is in the center

To find the x and y coordinate just flip the signs

which means it would look like

(x+5)²+(y-4)²=?

the question mark is equal to the raidus squared

to find the radius use the distance formula

√((-4+5)²+(8-4)²)= 4.123106

square this to get 17

the final answer is then

(x+5)²+(y-4)²=17

in a sale, normal prices are reduced by 10%

nathalie bought a pair of shoes in the sale for £54

what was the original price of the shoes

[tex]x = 60[/tex]

Explanation

[tex] \sf based \: on \: the \: given \: conditions \: write : x = \frac{54}{ 1 - 01} [/tex]

[tex] \sf calculate \: the \: sum \: difference: x = \frac{54}{0.9} [/tex]

convert decimal to fraction: x= 54 / 9 / 10

[tex] \sf \: divide \: a \: fraction \: by \: multiplying \: its \: reciprosal : x = 54 \times \frac{10}{9} [/tex]

[tex] \sf \: write \: as \: a \: single \: fraction : x = \frac{54 \times 10}{9} [/tex]

[tex] \sf \: reduce \: fraction \: to \: the \: lowest \: term \: by \: cancelling \: the \: greatest \: [/tex]

[tex] \sf \: common \: factor : x = 6 \times 10[/tex]

[tex] \sf \: calculate \: the \: product \: or \: quotient : x = 60 [/tex]

[tex] \sf{ \boxed{answer : x = 60}}[/tex]

Answer:

camino 5 kilometros

Step-by-step explanation:

2-3+5

Answer:

-3x(7x+8)

Step-by-step explanation:

-3x^2-18x^2-24x

-3x(x+6x+8)

-3x(7x+8)

Answer:

line r or MB

Step-by-step explanation:

Answer:

only line r

Step-by-step explanation:

the question is what is perpendicular to (has an angle of 90 degrees with) AM.

line r is.

line s has no right angle with AM (even the extended line beyond these points).

MB is parallel to AM. in fact it is on the same line. so, they have 0 degrees and not 90.

JK is just a part of line s, and the same as for line s applies.

Answer:

7 thousand because in word it is 0me hundred and seventy six thousand three hundred and fifty four

Answer:

tens of thousands

Step-by-step explanation:

Answer:

Online surveys

Explanation:

Online surveys will be the most suitable survey type here to gather gamers' experience with Nintendo's new game. Also being the most common and convenient type of surveys nowadays, online surveys are very much flexible and can be tailored to suit any audience, and even has a broader audience. Nintendo can use online surveys here to gather user's(all over the world) experience through their website, emailed to people directly etc. There is even a wider reach now considering the popular use of mobile devices.

Answer:

80

Step-by-step explanation:

......................................

Answer:

p = 1.4

Step-by-step explanation:

The ratio of sides is the same

p/4.2 = 1.7/5.1

multiply both sides by 4.2

p = 1.7/5.1 * 4.2

p = 1.4

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

Explanation:

JK = LM because opposite sides of a parallelogram are the same length.

Side LM is p units long, where p is a placeholder for a number.

To determine what number replaces p, we can form the proportion shown below

BC/KL = CD/LM

Refer to the drawing below. I've circled the corresponding pieces. Note the color coding. Other equations are possible.

-----------

So,

BC/KL = CD/LM

(5.1)/(1.7) = (4.2)/p

5.1p = 1.7*4.2 ....................... cross multiply

5.1p = 7.14

p = (7.14)/(5.1)

p = 1.4

Answer:

166degrees

Step-by-step explanation:

Using the theorem which states that the angle at the vertex is twice the angle at the intercepted arc

Angle at the vertex <MNO = 83degrees

Angle at the arc =  m<MLO

According to the theorem

83 = 1/2(m<MLO)

m<MLO = 83 * 2

m<MLO = 166degrees

Hence the measure of angle MLO is 166degrees

Answer:

12

Step-by-step explanation:

using pythagoras theorem

here 15 is hypotenuse since it is opposite 0f 90 degree

9 and x are the other smaller sides of a triangle

according to pythagoras thorem the sum of square of two smaller sides of a triangle is equal to the square of hypotenuse. So,

9^2 + x^2 = 15^2

81 + x^2 = 225

x^2 = 225 - 81

x^2 = 144

x = [tex]\sqrt{144[/tex]

x = 12

Answer:

3.02 is the answer for this question if the answer is correct plz mark me as brainliest

Answer:

3.02

Step-by-step explanation:

51.34 ÷ 17 = 3.02

Answer:

D. g(x) = 3·x²

Step-by-step explanation:

The given parent function, f(x) = x²

The graph of the function, g(x) is narrower than the graph of the function f(x)

Therefore, the coefficient of the quadratic function is larger than 1

The given point on the parabola, g(x) = (1, 3)

Therefore. when x = 1, g(x) = 3

However, when x = 1, f(x) = 1

Therefore, given that g(x) = a·f(x), we get;

a = g(x)/(f(x)) = 3/1 = 3

g(x) = 3·x²

Answer:

7 nickles

8 dimes

4 quarters

Step-by-step explanation:

q

d = 2q

n = q+3

25q + 10d + 5n = 215

25q + 10(2q) + 5(q + 3) = 215

25q + 20q + 5q - 15 = 215

50q = 200

q = 4

d = 2q = 8

n = q + 3 = 7

Step-by-step explanation:

4(2.8*4.5)=50.4

50.4/12= 4.2

4.2 means 5 tins of paint

£52.5 =price

Step-by-step explanation:

i have explained in the paper.

Goodluck

Answer:

32m

Step-by-step explanation:

7+5+5+4+4+1+3+3=32