Write a function rule for the area of a triangle whose base is 4 ft more than the height. What is the area of the triangle when its height is 6 ft?

A. A = 0.5h2 + 4h; 42 ft2
B. A = 4h − 0.5h2; 6 ft2
C. A = 0.5h2 + 2h; 30 ft2
D. A = 0.5h2 − 2h; 6 ft2

the angle between 0 and 2pi in radians that is coterminal to 44pi/9 then terminal angle for 43pi/10 is 3pi/10.

How do you find Coterminal angles?

The coterminal angles can be positive or negative. To find the coterminal angles, simply add or subtract 360 degrees as many times as needed from the reference angle. All of these angles are coterminal angles.

The coterminal angle lie in between [0, 2pi].

Simplify the coterminal angle 43pi/10 to obtain in [0, 2pi].

43pi/10= 4pi+3pi/10

So coterminal angle for 43pi/10 is 3pi/10.

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The mean of the data is given as follows:

9.

The mean of a data-set is obtained as the sum of all observations divided by the number of observations.

The dot plot shows the number of times that each observation appeared in the data-set.

Considering the dot plot, the data-set is given as follows:

5, 7, 7, 13, 13.

Hence the mean of the data-set is obtained as follows:

(5 + 7 + 7 + 13 + 13)/5 = 9.

The dot plot is given by the image presented at the end of the answer.

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8 gigabytes would have to be used for the plans to cost the same. The cost will be $100.

Given is that Smart One smartphone plan cost $20 per month for talk and messaging and $10 per gigabyte of data used each month. A second smartphone plan cost $60 per month for talk and messaging and $5 per gigabyte of data used each month.

Let {C} represent the total cost in dollars and {D} represent the amount of data used in gigabytes. The system of equation can be used to represent this situation are -

C = 20 + 10d

C = 60 + 5d

For same cost -

20 + 10d = 60 + 5d

5d = 40

d = 8

The cost would be -

C = 20 + 10d

C = 20 + 10 x 8

C = 100

Therefore, 8 gigabytes would have to be used for the plans to cost the same. The cost will be $100.

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Answer:

∠ PQS = 15°

Step-by-step explanation:

PQRS is a cyclic quadrilateral

• the opposite angles of a cyclic quadrilateral sum to 180° , then

∠ QPS + ∠ QRS = 180°

∠ QPS + 105° = 180° ( subtract 105° from both sides )

∠ QPS = 75°

the sum of the 3 angles in Δ PQS = 180° , that is

∠ PQS + ∠ PSQ + ∠ QPS = 180°

∠ PQS + 90° + 75° = 180°

∠ PQS + 165° = 180° ( subtract 165° from both sides )

∠ PQS = 15°

s = 990 / (-22)

s = -45

The answer is -45

Answer:

s = -45

Step-by-step explanation:

Now we have to,

→ find the required value of s.

The equation is,

→ -22s = 990

Then the value of s will be,

→ -22s = 990

→ s = 990/-22

→ s = -(990/22)

→ [ s = -45 ]

Hence, the value of s is -45.

Answer:

[tex]-4y^2-2x+13[/tex]

Step-by-step explanation:

[tex]-6x +4y^2+3-8y^2+4x-7x+10\\4y^2-8y^2-6x+4x-7x+10+3\\-4y^2-2x+13[/tex]

Solving the provided question, we can say that Pythagorean theorem to find the length of the paper as follows [tex]9.9^2 = 9.2^2 + (length)^2[/tex] => length = 3.656 inches

The Pythagorean Theorem, sometimes known as the Pythagorean Theorem, is the basic Euclidean geometry relationship between a right triangle's three sides. According to this rule, the area of a square with the hypotenuse side equals the sum of the areas of squares with the other two sides. The Pythagorean Theorem, often known as the generic algebraic notation a2 + b2 = c2, states that the square that crosses the hypotenuse of a right triangle opposite the right angle equals the sum of the squares that span the sides of a right triangle.

the Pythagorean theorem to find the length of the paper as follows:

[tex]9.9^2 = 9.2^2 + (length)^2\\length = \sqrt{9.9^2 - 9.2^2} \\length = \sqrt{98.01 - 84.64}\\ length = \sqrt{13.37} \\[/tex]

length = 3.656 inches

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The Cartesian Product of sets A and B is defined as the set of all ordered pairs (x, y) such that x belongs to A and y belongs to B.

Now, According to the question:

Cartesian Product of Vector Spaces:

The Cartesian product U × V of two finite-dimensional vector spaces U and V consists of all pairs {u, v} of vectors u in U and v in V. The vector space operations are defined component wise: (1) (2).

The Cartesian product of two vectors is :

The Cartesian Product of sets A and B is defined as the set of all ordered pairs (x, y) such that x belongs to A and y belongs to B. For example, if A = {1, 2} and B = {3, 4, 5}, then the Cartesian Product of A and B is {(1, 3), (1, 4), (1, 5), (2, 3), (2, 4), (2, 5)}.

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The correct way to write greater than B is A > B where it tells that B having greater value than A.

In mathematics,

→The greater than symbol (>) is used to indicate that one value is larger than another. For example, if we say "A > B," this means that the value of A is greater than the value of B.

→The less than symbol (<) is the opposite, it indicates that one value is smaller than another. For example, if we say "A < B," this means that the value of A is less than the value of B.

→The greater than or equal to symbol (≥) indicate that one value is larger than or equal to another. For example, if we say "A ≥ B," this means that the value of A is greater than or equal to the value of B.

→The less than or equal to symbol (≤) indicate that one value is smaller than or equal to another. For example, if we say "A ≤ B," this means that the value of A is less than or equal to the value of B.

These symbols are commonly used in mathematical expressions, equations, and inequalities.

To write "greater than B" in mathematical notation, you would use the greater than symbol (>) followed by the letter B. For example:

A > B

This means that A is greater than B.

Therefore, the correct way to write greater than B is A > B where it tells that B having greater value than A.

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Answer: 9 + 3x

Step-by-step explanation:

Since the shape of the banner is a rectangle, we know that the equation for area = length * width. I would say that the length is 3+x and the width is 3. Now, we simply just have to use multiplication with distribution to solve.

3(3+x) = 9+3x (also can be written as 3x+9)

**simplest form means no parenthesis**

hope this helps!

MO is a perpendicular bisector of NP.The value of x is 3

Lines that cross each side's midpoint and are perpendicular to the specified side are known as a triangle's perpendicular bisectors.The circumcenter (Durell 1928), which is also the centre of the triangle's circumcircle,

Measuring the length of the line segment you need to bisect is an easy approach to discover a perpendicular bisector. Find the midway of the measured length by dividing it by two. From this midway, extend a line at a 90° angle.

6x−1=3x+8

⇒6x−3x=8+1

⇒3x=9

⇒x = 9 / 3 =3

∴x = 3.

MO is a perpendicular bisector of NP.The value of x is 3

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The ​equation of the line is equal to y - 8 = 1/3 (x + 2).

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

Given that the line has a slope 1/3 and passes through (-2,8). The equation of the line will be,

y - y₁ = m(x - x₁)

y - 8) = (1/3)(x + 2 )

Therefore, the ​equation of the line is equal to y - 8 = 1/3 (x + 2).

The complete question is,

Write an equation in point slope form for the line that has a slope 1/3 and passes through (-2,8)

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Answer:

5x – 30 = 176

Step-by-step explanation:

For Identifying the Similar Triangles Here are three ways to show that two triangles are similar.

AA Similarity Two angles of one triangle are congruent to two angles of another triangle.

SSS Similarity The measures of the corresponding side lengths of two triangles are proportional.

SAS Similarity The measures of two side lengths of one triangle are proportional to the measures of two corresponding side lengths of another triangle, and the included angles are congruent.

Intervention is the The measures of two side lengths of one triangle are proportional to the measures of two corresponding side lengths of another triangle, and the included angles are congruent.

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By applying the Zero Product Property, which asserts that if the product of two numbers equals zero, then at least one of the quantities must also equal zero, quadratic equations in factored form can be solved.

Any factored quadratic equation, such as (a + b)(a b) = 0, can be solved using the Zero Product Property. If a+b=0, then either an or b must also equal zero, according to the zero product property. We can solve problems like (x+2)(x-5)=0 thanks to this fundamental characteristic.

According to the zero product property, if the sum of two quantities is zero, then either one or both of the quantities must also be zero. This equation can be rewritten as (x + 3) (2 x 1) = 0 to help you solve it.

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The vertex of the given function g(x) = -3x² + 18x + 2 is (3, 29)

Function in math is defined as  a rule that gives value of a dependent variable that corresponds to specified values of one or more independent variables.

Here we have given the function called g(x)  has the expression -3x² + 18x + 2.

And here we need to find the vertex for the function that can be calculated as,

As we all know that vertex form of a parabola is written as,

=> y = a (x - h)² + k

Here we know that (h, k) is the vertex

Then the given expression is written as,

=> g(x) = -3x²  + 18x + 2

When we can be written by completing the square as follows,

=> y = -3x²  + 18x + 2

Here we have to take 3 as common term, then we get

=> -3(x²  + 6x)+ 2

now, we have to expand the expression within the brackets, then we get,

=> -3(x²  + 6x+ 9)+ 2 + 27

Then the resulting vertex form o the equation is written as

=> y = - 3(x - 3)2 + 29

While we comparing this with the standard form then we get the value of vertex is (3, 29).

Complete Question:

What is the vertex of the function g(x) = -3x² + 18x + 2?

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Answer:

The same thing to both sides.

Step-by-step explanation:

The average ticket price for the concert, expressed in dollars, is given by the equation P = (TP + PR)/(T + ).

The average ticket price, P, in dollars, of all tickets sold to the concert is represented by the equation P = (T + ηR)/(T + η) where T is the original ticket price, R is the price increase, η is the number of tickets sold on the day of the concert, and T + η is the total number of tickets sold to the concert.

In this scenario, before the concert, the theater sells T tickets at a price of P dollars each, and on the day of the concert, the theater increases the ticket price by R dollars and sells η tickets.

Therefore, the average ticket price for all the tickets sold is the sum of the original ticket price and the increased ticket price, divided by the total number of tickets sold.

P = (TP + η(P+R))/(T + η)

P = (TP + ηPR)/(T + η)

So, the equation P = (TP + ηPR)/(T + η) represents the average ticket price, in dollars, of all tickets sold to the concert.

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EF as a decimal rounded to the nearest tenth is 60.9.

A, I looked online and came across this statistic.

OM is probably perpendicular to CD and EF is perpendicular to ON, and I'm assuming there's more information there.

The chords are similarly split in half by the diameters that intersect them at right angles, so CM = (1/2) CD = 28.

r2 = OM2 + CM2 = 202 + 282 = 1184 r = 474 b; FN is the leg of a right triangle with other leg ON=16 and hypotenuse OF=r because it is a radius; r2 = OM2 + CM2 = 202 + 282 = r = 474 b.

r2 - ON2 = 1184 - 162 = 1184 - 256 = 928 = FN2 = 928

C, By the perpendicular diameter bisecting a chord theorem, EF is twice as large as FN.

EF = 2√928

60.9

A, I looked online and came across this statistic. I'll venture a guess of 1.

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Answer: I hope this helps

Step-by-step explanation:

26=z/19

Multiply both sides of the equation by 19

then you get

494=z but you need to

Swap the sides of the equation Which is something like this

z=494

Answer:

z = 494

Step-by-step explanation:

Given equation,

→ 26 = z/19

Now the value of z will be,

→ 26 = z/19

→ z/19 = 26

→ z = 26 × 19

→ [ z = 494 ]

Hence, the value of z is 494.

The possible solution to the system of linear inequalities is (40, 4)

An equation is an expression showing the relationship between numbers and variables.

An inequality shows the non equal comparison of two or more numbers and variables.

Given the inequalities:

x + y ≥ 35    (1)

and:

0.40x + 2y ≤ 30    (2)

The solution to the system of linear inequalities is the darker region shown in the graph. A possible solution is (40, 4)

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Answer:

Fraction form: [tex]\frac{10\sqrt{14} }{7}[/tex]

Decimal form: 5.34522483

The area of the triangle xyz is 33.941...

To calculate area of triangle, we need to take the base and height's measurement.

Formula- 1/2 x Base x Height

However, Area may also be calculated when we know the 3 sides of the triangle.

It is known as "Heron's Formula"

Simply use this 2 step process :

Step 1-

Calculate "S" (which is half of the triangle's perimeter)

S = (side1 + side2 + side3) / 2

Naming the sides as a b and c respectively.

4 inches = a

5 inches = b

7 inches = c

 S = ( a + b + c ) / 2

S = ( 4 + 5 + 7 ) / 2

S = 16/2

S = 8

Step 2: Calculating the area of the triangle XYZ

Formula:

Area ( A ) = √S(S−a)(S−b)(S−c)

put the values and you will get the answer.

A = √8(8−4)(8−5)(8−7)

A = 33.941..

The area of the triangle xyz is 33.941...

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Answer:

14 square inches

Step-by-step explanation:

Area of triangle = (h.b)/2

The height and base aren't specified, and no pic is provided

So I'll assume that the height is 4 and base is 7 ( or the opposite)

Area = (4.7)/2

= 14 square inches

If the height is 5 and base 7 ( or the opposite)

Area = (5.7)/2

= 17.5 square inches

If the height is 4 and base is 5 ( or the opposite)

Area= (4.5)/2

= 10 square inches

The function that has the lowest minimum value is given as follows:

f(x) = 3/4|x - 8| - 3.

From the table, the minimum value of the function is given at the following coordinate:

(3,-2).

Hence the minimum value is of -2.

The parent absolute value function is given as follows:

f(x) = |x|.

After the vertical compression by a factor of 3/4, the function is given as follows:

f(x) = 3/4|x|.

Shifting 8 units right, the function is of:

f(x) = 3/4|x - 8|.

Shifting 3 units down, the function is of:

f(x) = 3/4|x - 8| - 3.

Meaning that the minimum value is of -3, which is lower than the minimum value of -2 of the function on the table.

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The Scale factor was used to enlarge the picture is 7/ 31.5.

A scale factor is a numerical value that can be used to alter the size of any geometric figure or object in relation to its original size. It is used to find the missing length, area, or volume of an enlarged or reduced figure as well as to draw the enlarged or reduced shape of any given figure. It should be remembered that the scale factor only affects how big a figure is, not how it looks.

Given:

A picture is 7 inches wide and 9 inches long.

A photographer enlarges it so it is 31.5 inches wide and 40.5 inches long.

So, scale factor is

= Original dimension / Enlarged dimension

= 9/ 40.5

= 90/ 405

= 10/45

= 2/9

Now, simplifying the scale factor 7/31.5 because it has Nr < Dr.

= 7/ 3.15

= 70/31.5

= 2/9

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Latitude is always presented before longitude when giving a coordinate. Degrees, minutes, and seconds are used to divide latitude and longitude. While a degree is made up of 60 minutes, a minute is made up of 60 seconds.

Latitude lines run parallel with each other from east to west. The more north you travel, the higher the latitude values. Last but not least, latitude values vary from -90 to +90. However, longitude lines run from north to south. Latitudes are lines that are horizontal and indicate how far away from the equator a location is. East and west directions with reference to the Greenwich, England, meridian are shown using longitudes, which are vertical lines. Cartographers and geographers. The grid system that enables us to locate precise or absolute locations on the surface of the globe is made up of latitude and longitude meridian. Drawing imaginary lines that circle the globe vertically (up and down) and connect at the North and South Poles is one step in the longitude calculation.

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