how long will it take the minute hand of a clock to turn through 240°​

Answer:

3x^2 + x^4 - x^3 + 3 - 6x

Step-by-step explanation:

Find Least Common Multiplier of 3x^(2)-3x / 3x^(3)-6x^(2)+3x to 1 / x-1

3x^2 - 3 . x/3 x^3 - 6x^2 + 3x

Apply exponent rule: a^b + c = a^b a^c

x^2 = xx, x^3 x/3 = xx^2, x^2 = xx

= 3xx - 3xxx - 6xx + 3x

Rewrite -6 as 2 . 3

= 3xx - 3xxx + 2 . 3xx + 3x

Factor out common term 3x

= 3x(x - x^2(x/3) -2x + 1)

= 3x(- x^3/3 - x + 1)

Multiply each factor with the highest power:

(- x^3/3 - x + 1) . 3 . (1/x - 1\) . x

Simplify

3x^2 + x^4 - x^3 + 3 - 6x

The increase in the amount of wages of Gabriela is $ 41,400

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the total amount after increase in wages be = A

Now , the initial amount of Gabriela be = $ 36,000

And , the percentage increase in the wages = 15 %

So , the equation will be

Total amount after increase in wages A = initial amount + ( percentage increase x initial amount )

Total amount after increase in wages A = 36,000 + ( 15/100 x 36,000 )

Total amount after increase in wages A = 36000 + ( 15 x 360 )

Total amount after increase in wages A = 36000 + 5400

Total amount after increase in wages A = $ 41,400

Therefore , the value of A is $ 41,400

Hence , The increase in the amount of wages of Gabriela is $ 41,400

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ2

Given:

The preimage and image of a triangle in the given figure.

To find:

The dilation scale factor.

Solution:

From the given figure it is clear that the vertices of the triangle ABC are A(-2,-2), B(-1,2) and C(2,1).

The vertices of the triangle A'B'C' are A'(-4,-4), B'(-2,4) and C'(4,2).

If a figure is dilated by factor K with (0,0) as the center of dilation, then

[tex](x,y)\to (kx,ky)[/tex]

Let the scale factor be K, then the image of point A is:

[tex]A(-2,-2)\to A'(k(-2),k(-2))[/tex]

[tex]A(-2,-2)\to A'(-2k,-2k)[/tex]

From the given figure it is clear that the image of point A is A'(-4,-4).

[tex]A'(-2k,-2k)=A'(-4,-4)[/tex]

On comparing both sides, we get

[tex]-2k=-4[/tex]

[tex]k=\dfrac{-4}{-2}[/tex]

[tex]k=2[/tex]

Therefore, the dilation scale factor is 2.

Answer:

11

Step-by-step explanation:

Vicky used 462 beads to make 11 necklaces, she would have left 38 beads.

Answer:

He make seven necklaces

Answer:

126

Step-by-step explanation:

54 + x = 180

x = 180 - 54

x = 126

Answer:

D. Negative slope

Step-by-step explanation:

The slope goes down from left to right, so it is a negative slope

Up from left to right is a positive slope

A vertical line is undefined

A horizontal line is zero slope

Step-by-step explanation:

in this situation

A+B =D

Answer:

[tex]f(x) = x^4-5x^2+3[/tex] is symmetric to the y-axis

Step-by-step explanation:

Given

[tex]f(x) = x^4-5x^2+3[/tex]

Required

Determine if it is symmetric

First, we check if the function is even by calculating f(-x)

[tex]f(x) = x^4-5x^2+3[/tex]

[tex]f(-x) = (-x)^4-5*(-x)^2+3[/tex]

[tex]f(-x) = x^4-5*x^2+3[/tex]

We have:

[tex]f(x) = f(-x) = x^4-5*x^2+3[/tex]

This implies that the function is even, and even functions are symmetric to the y-axis.

Hence:

[tex]f(x) = x^4-5x^2+3[/tex] is symmetric to the y-axis

Answer:

32.61° is the answer

Step-by-step explanation:

Tanx=17.6/27.5

Answer:

Your correct answer is 1514.27

Step-by-step explanation:

Here is my step by step for you!

Answer:

The correct answer is (-6, 10).

Step-by-step explanation:

You can find the equation of the blue line and then find out which point is on the perpendicular line to that blue line but you also can figure this out visually by looking at where the points are.

Feel free to message me if you still have questions :)

Answer:

(–6, 10)

Step-by-step explanation:

Answer:

32.8 mi²

Step-by-step explanation:

Hi there!

Area of a triangle when given two sides, a and b, and the angle that conjoins them, C:

[tex]A=\frac{1}{2} ab*sinC[/tex]

Plug in the known information:

a=11, b=6, C=97°

[tex]A=\frac{1}{2} (11)(6)*sin(97)\\A=33sin(97)\\A=32.8[/tex]

Therefore, the area of the triangle is approximately 32.8 mi².

I hope this helps!

Answer:

B

Step-by-step explanation:

The trick here is to find the height. The answer is

height = sin(180 - 97) * 11

The height is found by finding the supplement of 97, taking the sin of that angle and multiplying by 11.

There is a drawing required. You need to extend ZY until a line from x meets ZY (extended) at right angles. When that happens you find the sine of the supplement.

height = sin(83)*11

height = 10.92

Now use the standard area formula.

Area = base (ZY) * height / 2

base = 6

height = 10.92

Area = 6 * 10.92 /2

Area = 32.75

Answer:

im not sure but i think it might be 10??

Given:

Melinda walked to the mall at 4 miles per hour and then rode back home in a bus at 24 miles per hour.

Total traveling time was 14 hours.

To find:

The distance between Melinda's house and mall.

Solution:

Formula used:

[tex]Time=\dfrac{Distance}{Speed}[/tex]

Let x miles be the distance between Melinda's house and mall.

Melinda walked to the mall at 4 miles per hour. So, the time taken by Melinda is [tex]\dfrac{x}{4}[/tex] hours.

Speed of bus is 24 miles per hour. So, the time taken by bus is [tex]\dfrac{x}{24}[/tex] hours.

Total traveling time was 14 hours.

[tex]\dfrac{x}{4}+\dfrac{x}{24}=14[/tex]

[tex]\dfrac{6x+x}{24}=14[/tex]

[tex]7x=14\times 24[/tex]

Divide both sides by 7.

[tex]\dfrac{7x}{7}=\dfrac{14\times 24}{7}[/tex]

[tex]x=2\times 24[/tex]

[tex]x=48[/tex]

Therefore, the mall is 48 miles far from Melinda's house.

Answer:

[tex]3\frac{5}{7}[/tex]

Step-by-step explanation:

13 ÷ 3.5

[tex]3.5=3\frac{5}{10}[/tex]

Answer:

[tex]x\neq 0\\x\neq 2[/tex]

Step-by-step explanation:

simplify the equation: [tex]\frac{6}{x(x-2)}[/tex]

Since the denominator can never equal 0, x can never equal 0 or 2.

Meaning that the domain is any x-value other than 0 or 2.

Answer:

y = 3

Step-by-step explanation:

Answer:

m∠1 = 103

m∠2 = 103

Step-by-step explanation:

by definition, the opposite angles of a kite are congruent.

we know that a quadrilateral's angles add up to 360.

117 º+ 37º + 2xº = 360º

2xº = 206º

xº=103º

Answer:

rhombus has all angles=90 degress

Answer:

[tex]\text{(B) }\cos 40^{\circ}=\frac{x}{60}[/tex]

Step-by-step explanation:

In any triangle, the cosine/cos of an angle is equal to its adjacent side divided by the hypotenuse (longest side) of the triangle. (a/h)

The angle marked 40 degrees has an adjacent side of [tex]x[/tex] and the hypotenuse of the triangle is 60.

Therefore, we have the equation:

[tex]\boxed{\cos 40^{\circ}=\frac{x}{60}}[/tex]

Answer:

x = 30

Step-by-step explanation:

If A and B were parallel, then 2x + 50 and 5x - 80 are same- side interior angles and sum to 180° , then

2x + 50 + 5x - 80 = 180

7x - 30 = 180 ( add 30 to both sides )

7x = 210 ( divide both sides by 7 )

x = 30

Answer:

(x-8)²+20  vertex=(8,20)

Step-by-step explanation:

(x-8)² = -20

Graphing Form: y = 1(x-8)²+20    

9514 1404 393

Answer:

  (b) 82.9253

Step-by-step explanation:

The first attachment shows the rectangles. The second shows the sum of their areas.

PT is 8 because since P is the incenter it's equidistant from all sides.

Answer:

Using a calculator;

A is approximately 51.34°

G is approximately 28.36°

Step-by-step explanation:

Part 1

The given trigonometric ratio is presented as follows;

tan A = 5/4

Therefore, the angle, A = arctan(5/4)

Using a calculator,  the value of A is found as follows;

1. Ensure the angle mode of the calculator is set to the correct value (the selected mode here is degrees)

2. Entering 5/4 into the calculator, using the keypad

3 . Selecting the arctan button to give, A ≈ 51.34°

Part 2

The given trigonometric ratio is cos G = 0.88

Therefore, G = arccos(0.88)

1. Ensure the angle mode of the calculator is set to the correct value (the selected mode here is degrees)

2. Enter 0.88 into the calculator by typing

3. Select arccos from the function menu, to give

arcos(0.88) = G ≈ 28.36°.

Answer:

The angle between two nonzero vectors u and v is given by

Cos Θ=u*v/║u║║v║

1) If u*v=0, then CosΘ=0

arccos 0=90°

2) If u*v > 0, then CosΘ >0

If (cos Θ > 0, then Θ is less than 90°

3) If u*v < 0, then Cos Θ < 0

If Cos Θ < 0, then Θ is greater than 90°

OAmalOHopeO

The integers ranging from 5n to 5n + 10, with 5n as a positive odd integer, in each case, the range contains three even integers.

When n = 1:

The range is 5(1) to 5(1) + 10

= 5 to 15.

There are three even integers in this range: 6, 8, and 10.

When n = 3:

The range is 5(3) to 5(3) + 10

= 15 to 25.

There are three even integers in this range: 16, 18, and 20.

When n = 5:

The range is 5(5) to 5(5) + 10

= 25 to 35.

There are three even integers in this range: 26, 28, and 30.

In each case, the range contains three even integers.

Learn more on positive integers here https://brainly.com/question/1367050

#SPJ2

First find the gradient of L.

-6÷3=-2

gradients of perpendicular lines multiply together to give -1.

(-2)×1/2=-1

m=1/2 or 0.5

y=0.5x-1.5