ax+bx=c make x subject​

Answer:

= 60°

Step-by-step explanation:

Exterior angle =

[tex] = \frac{360}{n} [/tex]

[tex] = \frac{360}{6} \\ = {60}^{o} [/tex]

= 60°

The new list of rents, ordered from least to greatest, would be 865, 970, 985, 1005, 1015, 1035, 1055, 1080, 1045, 1095. The median rent would also be changed from $1095 to $1045.

Answer: The sum of the two polynomials 3m^2 + 4m + 7 and 4m^2 - 3m + 2 is 7m^2 + m + 9.

Step-by-step explanation:

Answer: 5.26

Step-by-step explanation:

Answer:

= 0.190

Solution:

Change the divisor 2.63 to a whole number by moving the decimal point 2 places to the right. Then move the decimal point in the dividend the same, 2 places to the right.

We then have the equations:

50 ÷ 263 = 0.190

and therefore:

0.5 ÷ 2.63 = 0.190

Both calculated to 3 decimal places.

Learn more about Long Division here:

https://brainly.com/question/28824872

#SPJ4

The option that was not an impact of the crusades is B. End of the Roman Empire.

The Crusades were a series of religious wars fought between Christians and Muslims in the Middle East during the medieval period. The Crusades had a significant impact on European society and culture, including:

Monarchs grew more powerful: The Crusades helped to strengthen the power of monarchs in Europe, as they became more involved in financing and organizing the Crusades.

However, the Crusades did not bring about the end of the Roman Empire. The Roman Empire had already collapsed centuries earlier, in the 5th century AD, and the Crusades took place in the 11th-13th centuries AD, during the medieval period.

Learn more about crusades from

https://brainly.com/question/386788

#SPJ1

The measure of angle A is given as follows:

<A = 60º.

The three trigonometric ratios are defined as follows:

For the angle A, we have that:

Applying the sine ratio, the angle measure is given as follows:

sin(A) = 13/15

A = arcsin(13/15)

A = 60º.

More can be learned about trigonometric ratios at brainly.com/question/24349828

#SPJ1

The approximate length of the guy wire supporting the radio tower, as determined using trigonometry with the given information of a 45 degree angle and a height of 145 feet up the tower, is 145 feet.

We can use trigonometry to solve this problem. Let's call the length of the guy wire "x". The opposite side of the right triangle formed by the guy wire and the ground is 145 feet (the height of the tower where the guy wire is attached), and the angle opposite the guy wire is 45 degrees.

Using the trigonometric function tangent, we can set up the following equation:

[tex]tan(45)[/tex] = opposite / adjacent

where "opposite" is 145 feet and "adjacent" is the length of the guy wire, x. Simplifying this equation, we get:

1 = 145 / x

Multiplying both sides by x, we get:

x = 145

Therefore, the length of the guy wire is approximately 145 feet to the nearest tenth.

Learn more about trigonometry here:

https://brainly.com/question/14272510

#SPJ4

The value of x in the given set triangles are:

1) x=17.5

2) x=48

3) x= 8

4) 24.5

5) x=11

6) x=9

What is Triangle Proportionality Theorem?

If a line parallel to one side of a triangle contacts the other two sides of the triangle, the line proportionally splits these two sides.

1) According to Triangle Proportionality Theorem,

from given fig 1,

          [tex]\frac{14}{12} =\frac{x}{15} \\\\\frac{7}{6} =\frac{x}{15} \\\\x= 17.5[/tex]

2) From fig 2,

          [tex]\frac{x}{18} =\frac{56}{21} \\\\x=48[/tex]

3) From fig 3,

           [tex]\frac{x}{36} =\frac{10}{45} \\\\\frac{x}{36} =\frac{2}{9} \\\\x=8[/tex]

4) From fig 4,

          [tex]\frac{6}{21}=\frac{7}{x} \\\\6x=7*21\\\\x=24.5[/tex]

5) From fig 5,

         [tex]\frac{30}{x+7} =\frac{25}{15} \\\\\frac{30}{x+7} =\frac{5}{3} \\\\x=11[/tex]

6) From fig 6,

         [tex]\frac{6}{21}=\frac{x-1}{3x+1} \\\\ 18xx+6=21x-21\\\\3x=27\\\\x=9[/tex]

To know more about Triangle Proportionality Theorem visit,

https://brainly.com/question/8160153

#SPJ1

The discounted price of the ticket is $198.

The total cost of the ticket with the discount and service fee is $214.33.

A percentage is a ratio or number that may be expressed as a fraction of 100. Moreover, it is denoted by the sign "%."

Given:

The cost of a ticket on an airline is $220.

And Jameson receives a discount of 10%.

To find the discounted price:

The discounted price = 220 - 220 x 10 / 100

The discounted price = $198.

And the service charge is 8.25%.

So, the amount of service charge,

= 198 x 8.25/100

= 16.33

The total cost of a ticket = $198 + $16.33 = $214.33

Therefore, the cost is $214.33.

To learn more about the percentage;

https://brainly.com/question/24159063

#SPJ9

The theoretical probability that a sum greater than 10 is obtained is given as follows:

p = 1/12.

Out of 108 trials, the expected number of trials with a sum greater than 10 is given as follows:

9.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

The 36 total outcomes for the pair of dices is given as follows:

Out of these outcomes, three of them, (5,6), (6,5) and (6,6) have a sum greater than 10, hence the probability is given as follows:

p = 3/36

p = 1/12.

Then the expected number is given as follows:

E(X) = 108 x 1/12

E(X) = 9.

More can be learned about probability at https://brainly.com/question/24756209

#SPJ1

Answer:

9

Step-by-step explanation:

experiment, Kim rolled a fair die twice. The theoretical probability of both rolls equaling a sum greater than 10 is Predict how many times.

Therefore the experement is 9

Answer:1/2 head and 1/2 tails

Step-by-step explanation: no.of experiments for heads = 5

total no of experiments=10

probability=5/10=1/2

no.of experiments for  = 5

total no of experiments=10

probability=5/10=1/2

Answer:

D.666 cubic centimeters

Step-by-step explanation:

Volume of cylinder is 3 time the volume of cone of the same radius.

Volume of cylinder= πr²h

Volume of cone = 1/3 x πr²h

The length of the segment QV is  9.2 units

What is a square?

Regular quadrilaterals, such as a square, have four equal sides and four equal angles (right angles, 90-degree angles, or angles of /2 radian). It is also known as a rectangle with two neighbouring sides of identical length. It is the only regular polygon whose internal angle, central angle, external angle, and diagonal length are all equal (90°).

diagonal length, d=a√2 , where,  d--> diagonal length ,  a= side length

So, d= 13* 1.4142 = 18.3847 units

Diagonals bisect each other

QV = d/2 = 18.3847/2  = 9.1923

Rounding to 1 decimal place

QV = 9.2 units

The length of the segment QV is  9.2 units

To learn more about the  square from the given link

https://brainly.com/question/25092270

#SPJ1

The battery will last 2.73 hours when it is fully charged

The unit rate is the ratio of a certain number of units of one quantity to units of another quantity. Mathematically, the unit rate is one quantity divided by the other quantity

Since Cheryl's phone battery is 55% charged and it will last for another 1.5 hours. Thus, the rate will be:

rate =   1.5 hours/55% = 3/110 hour per %

When it is fully charged, that is 100%. Thus, it will take:

Time for 100% = (3/110) * 100% = 2 8/11 hours = 2.73 hours

Learn more about unit rate on:

brainly.com/question/19493296

#SPJ1

Answer:

Answer is in the attached photo

Step-by-step explanation:

The solution is in the attached photo, do take note for this question, Sine rule can be used to find both x and y as well instead of Pythagoras' Theorem.

x=18, y=9√3

There is a theorem with 30 degrees 30 degrees 90 degrees triangles, it is that the side opposite of 30 degrees angle is a, the hypotenuse is 2a, and the other leg opposite the 60 degree angle is a√3

So, since a=9, x=2a=18 and y=a√3=9√3

The population in the year 2040 is 31800.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 4 is an equation.

We have,

The exponential equation is y = m[tex]a^t[/tex].

Where t is a variable

Now,

In 2007 (t = 0). the population was 12,000.

y = 12000

This means,
12000 = m[tex]a^0[/tex]

12000 = m

And,

In 2019 (t = 12). the population was 23,000.

y = 23000

23000 = m[tex]a^{23}[/tex]

23000 = 12000 [tex]a^{23}[/tex]

23000/12000 = [tex]a^{23}[/tex]

1.92 = [tex]a^{23}[/tex]

[tex]1.036^{23}[/tex] = [tex]a^{23}[/tex]

a = 1.03

Now,

y = 12000 [tex]1.03^t[/tex]

The population in the year 2040.

i.e

t = 33

y = 12000 x [tex]1.03^{33}[/tex]

y = 12000 x 2.65

y = 31800

Thus,

31800 is the population in the year 2040.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ1

The quadratic function is of the given question is f(x) = [tex]-2x^{2}[/tex] + 10x + 1.

When a, b, and c are constants and x is an unknown variable, the equation has the form [tex]ax^{2}[/tex] + bx + c = 0, which is known as a quadratic equation. The unknown variable x is solved for using the quadratic equation.

The largest power of the variable in a quadratic equation is two. The variable is now squared, but it may also have a coefficient, often known as a multiplier, in front of it. Two more components in the equation are made up of a constant and a variable with an exponent of 1.

In the given question,

The equation of the quadratic function with a vertex at (-1, 3) and passing through (-4, -6) can be written as:

y = [tex]a(x + 1)^{2}[/tex] + 3

Where a is a constant that determines the shape of the function. To find the value of a we can substitute the coordinates of the vertex and the point into the equation and solve for a.

Substituting (x, y) = (-1, 3) into the equation:

3 = [tex]a(-1 + 1)^{2}[/tex] + 3

Simplifying:

3 = [tex]a(0)^{2}[/tex] + 3

3 = 3

Since both sides are equal, a = 1.

Substituting (x, y) = (-4, -6) into the equation:

-6 = [tex]a(-4 + 1)^{2}[/tex] + 3

Simplifying:

-6 = [tex]a(-3)^{2}[/tex] + 3

-6 = 9a + 3

-9 = 9a

Divide each side by 9:

-1 = a

Since both values of a are equal, a = -1.

Therefore, the equation of the quadratic function with a vertex at (-1, 3) and passing through (-4, -6) is:

y = [tex]-(x + 1)^{2}[/tex] + 3

To know about the quadratic function, visit

brainly.com/question/18958913

#SPJ1

Answer:

4 pounds

Step-by-step explanation:

2.36/4 = 0.59 cents a banana

1.83/3 = 0.61 cents a banana

Answer: a. From the perspective of the 30-year-old male, the monetary value corresponding to surviving the year is -$154 (the cost of the insurance policy). The monetary value corresponding to not surviving the year is $99,805 (the death benefit payout).

b. If the 30-year-old male purchases the policy, his expected value can be calculated using the formula:

Expected Value = (Probability of Event A) * (Value of Event A) + (Probability of Event B) * (Value of Event B)

In this case, the probability of surviving the year and not surviving the year can be assumed to be the same, as we don't have any specific information on the individual's health or life expectancy. Therefore, the probabilities can be assumed to be 0.5 each.

Plugging in the values, we get:

Expected Value = (0.5) * (-$154) + (0.5) * ($99,805) = ($50,326)

So, the expected value for the 30-year-old male purchasing the policy is $50,326.

Step-by-step explanation:

Step-by-step explanation:

tan0=opp/adj

where opposite =3,adjacent =x,=70

tan 70=3/x

2.7474=3/x

2.7474x=3

divide both sides by 2.7474

x=3/2.7474

x=1.0919

x=1.10 to 1 d.p

The volume of the rectangular sandwich box of Austin is given by the equation V = 468 cm³

The volume of the rectangle is given by the product of the length of the rectangle and the width of the rectangle and the height of the rectangle

Volume of Rectangle = Length x Width x Height

Volume of Rectangle = Area of Rectangle x Height

Given data ,

Let the volume of the rectangular box be represented as V

Now , the equation will be

The length of the sandwich box = 13 cm

The width of the sandwich box = 12 cm

The height of the sandwich box = 3 cm

And , volume of the rectangular box V = Length x Width x Height

Substituting the values in the equation , we get

Volume of the rectangular box V = 13 x 12 x 3

On simplifying the equation , we get

Volume of the rectangular box V = 468 cm³

Hence , the volume of rectangular box is 468 cm³

To learn more about volume of rectangle click :

https://brainly.com/question/25422723

#SPJ9

The value for the Inequality 13x ≤ 200 is x ≤ 15.384.

Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

13 times a number x is less than or equal to 200.

Now, Writing the Inequality Mathematically

13x ≤ 200

x ≤ 200 / 13

x ≤ 15.384

Learn more about Inequality here:

https://brainly.com/question/2675848

#SPJ1

The measures of all the angles D, C, E and F are 90 degrees

From the question, we have the following parameters that can be used in our computation:

The circle

On the circle, we have the angles D, C, E and F to be angles in a semicircle

As a general rule:

Angles in a semicircle are right angle

This means that

Angle in a semicircle = 90 degrees

Using the above as a guide, we have the following:

D, C, E and F = 90 degrees

Read more about angles at

https://brainly.com/question/25716982

#SPJ1

The solution is Option B.

The area of the rectangle is given by the equation A = 4 4/5 feet²

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the rectangle be represented as A

Now , the equation will be

Let the length of the rectangle be L = 8 feet

Let the width of the rectangle be W = ( 3/5 ) feet

Now , Area of Rectangle = Length x Width

Substituting the values in the equation , we get

Area of Rectangle = ( 3/5 ) x 8

On simplifying the equation , we get

Area of Rectangle = 24/5 feet²

Area of Rectangle = 4 4/5 feet²

Hence , the area of the rectangle is 4 4/5 feet²

To learn more about area of rectangle click :

https://brainly.com/question/15225905

#SPJ9

Answer:

Below

Step-by-step explanation:

5.2 * .83     second

(5.2 * .83) * .83   =    5.3 * .83^2     third

.

= 5.2 ( .83)^4        Fifth   = 2.468 ft

From the given trapezoid the value of the x is 1.

What is the trapezoid?

The sum of all the angles in a trapezoid is equal to 360°. The sum of the angles on the same side is equal to 180°.

We have,

Since a Trapizode has 360 Degrees total and since the sides are equal we can say that

180 = 66 + ∠R

∠R = 180 - 66

∠R = 114

so,

180 = 66 + (-2 + 116x)

180 = 66 - 2 + 116x

180 = 64 + 116x

180 - 64 = 116x

116 = 116x

x = 1

Therefore, from the given trapezoid the value of the x is 1.

To learn more about the trapezoid visit,

https://brainly.com/question/15224239

#SPJ1

The volume of the rectangular prism is 42 cubic inches

The volume of a rectangular prism is calculated as the product of its length, width, and height.

The formula is:

V = l x w x h

Where,

V is the volume

l is the length

w is the width

h is the height.

The volume of this figure is calculated using the formula given above as;

V = l * w * h

We can divide the figure into two rectangular prism and calculate the volume.

v = (8 * 3 * 1) + (6 * 3 * 1)

v = 42 in³

Learn more on volume of rectangular prism here;

https://brainly.com/question/5793407

#SPJ1