Composite Figures Question 9.
A. 57 ft
B. 288 ft
C. 208 ft
D. 264 ft

Answer:

180 - 110 = 70

<DBC = 70

Answer:

65

Step-by-step explanation:

arc TS = 360 - 90 - 150

Arc TS = 120

The central angle is also 120

x is 1/2 of the central angle

x = 1/2 * 120

x = 60

Answer:

B. 3/4

Step-by-step explanation:

Let the equation of line be represented as A

Now , the value of A is

Let the first point be P = P ( -3 , 4 )

Let the second point be Q = Q ( 1 , 7 )

Now , the slope of the line between the two points is given by the formula ,

Slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )

Substituting the values in the equation , we get

Slope m = ( 7 - 4 ) / ( 1 - ( -3 ) )

On simplifying the equation , we get

Slope m = 3 / 4

Answer:

Step-by-step explanation:

Depreciation means wearing and tearing in the value of an asset over the years

(a) Given:

p = initial value of an asset

i% = depreciation per year

n = number of years

Depreciation after n years (d) = [tex]p(1-\frac{1}{100} )^{n}[/tex]

Value of machine after n years = p-d

(b) Given:

p = RM100000

i% = 5

n = 10
Depreciation after 10 years = [tex]100000(1-\frac{5}{100} )^{10} = 59873.69392[/tex]

Value of machine after 10 years = p-d = RM100000 - RM59873.69392 = RM 40123.30608

Value of machine after 10 years to nearest ringgit = RM40123

Answer:

462962.96 naira

Step-by-step explanation:

This problem is complicated by the use of two different units.  I chose to use inches for the dimensions of the carpet.

200 in long

50 ft wide = 50 x 12 = 600 in.

Area = 200 x 600 = 120000 in^2

A square yard is a square 36 in. x 36 in. = 1296 in^2

Divide 120000 by 1296 to find out how many square yards of carpet you'll need.

120000 / 1296 = 92.59

Multiply by 5000 naira/yd^2 = 462962.96

-6,7 is in 2nd Quadrant of a coordinate plane because the coordinate of x is negative integer and the coordinate of y is positive integers.

It is possible to find any point in a 2D plane or 3D space using coordinates, which are ordered pairs of points. We may have observed the use of grids in mathematics. We can plot any point using these grids and its coordinates.

Cartesian coordinates, also known as the coordinates of a point in a 2D plane, are two integers, or occasionally a letter and a number, that identify a specific point's precise location on a grid. This grid is referred to as a coordinate plane.

The X-axis is the horizontal axis and the Y-axis is the vertical axis of a coordinate plane, which has four quadrants.

To plot -6, 7 point on coordinate first we find the point -6 on the left side of plane on x axis. the we go upward and find point y=7 parallel to y axis.

this point is -6,7.

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A logarithmic curve is a mathematical function.

A logarithmic curve, also known as a logarithmic function, is a type of mathematical function that describes a relationship between a variable x and a variable y in which the logarithm of y is a linear function of x.

The general form of a logarithmic function is y = logb(x), where b is the base of the logarithm, and x and y are real numbers. The base of the logarithm can be any positive number, but the most common bases used are 10 (common logarithm) and e (natural logarithm).

The graph of a logarithmic function is a curve that starts at negative infinity and increases gradually as x increases. The slope of the curve becomes closer to zero as x increases, and it is undefined for x=0 or x<0.

Logarithmic functions are often used in many areas of science, engineering, and mathematics to model real-world phenomena that exhibit exponential growth or decay, such as population growth, radioactive decay, sound levels and more.

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Answer:

fmmdmme,ekemmdm

Step-by-step explanation:

The cost of the four points will be $8296.8496

A quick and simple way to figure out interest on money is to use the simple interest technique, which adds interest at the same rate for each time cycle and always to the initial principal amount. Any bank where we deposit our funds will pay us interest on our investment. One of the different types of interest charged by banks is simple interest. Now, before exploring the idea of basic curiosity in further detail,

$ 128,000 is the amount financed (P).

t = 15 years

The interest rate equals 5.05%.

Amount after 15 years equals,

A = [tex]P(1+\frac{r}{100}[/tex]

=128,000[tex](1+\frac{5.05}{100} )^{15}[/tex]

=268009

Rose and Andrew has taken four points to lower their rate to 4.81% .

A =128,000 [tex](1+\frac{4.81}{100} )^{15}[/tex]

A = 259,713

Cost of four points = 268,009.890 - 259,713.040  = $8296.8496

Hence, the cost of the four points will be $8296.8496

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Therefore , the solution of the given problem of equation comes out to be  each diagonal measures 8.4 units in length..

An equation is a mathematical representation of two equal variables, one on each side of a "equals" sign. Everyday issues can be resolved with equations. We commonly look for pre algebra help to deal with problems in real life. Pre-algebra contains the fundamental concepts of mathematics.

Here,

Given: 16x + 2 = 36x - 6

8 = 20x

x = 8/20,

simplifying to 2/5, or 0.4

You would set the two equations equal to one another and find x because a rectangle's diagonals are congruent.

Re-enter the value of x into a single of the equations.

=>16(0.4) + 2

=>6.4 + 2

=>8.4

To make sure, confirm with the other diagonal.

=>36(0.4) - 6

=>14.4 - 6

=>8.4

Each diagonal measures 8.4 units in length..

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The complete question is "To find the diagonal  x value by the given equation  16x + 2 = 36x - 6 "

Answer:

8

Step-by-step explanation:

hypotenuse is always double the short leg there for your answer would be 8 because 16/2 = 8

Answer:

8

Step-by-step explanation:

Well this is a right triangle which means that you can use the Pythagorean Theorem to solve it.

a^2+b^2=c^2

The 2 lines on the other 2 sides means that those 2 sides are congruent so they are the same

C is the hypotenuse and a=b so

a squared + a squared = 16 squared = 156

that should help you get started

Answer:

2b - 1

Step-by-step explanation:

To solve this problem, we will need to open the parentheses. To do this, we will put an imaginary 1 in front of both sets of parentheses to open them using the distributive property, this gives us:

1(6b + 2) - 1(4b + 3)

We will open the first set of parentheses with no problem, but in the second set, we have -1, so we need to make every positive number negative and every negative number positive, giving us:

6b + 2 - 4b - 3

Then, we group our like terms:

6b - 4b + 2 - 3

Then, we subtract, giving us:

2b - 1

So the most simplified version is 2b - 1.

Hope this helped!

Answer:

Step-by-step explanation:

You begin by distributing the negative so -4b -3

then you will multiply (6b+2) by (-4b -3)

24b^2 - 18b - 8b - 6

answer = 24b^2 - 26b - 6

Answer:

7

Step-by-step explanation:

Have a good day :)

Answer:

70% of $10 = $7

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

The slope shows a change in the amount of fuel left in each mile. Since the slope is -0.04, the amount of fuel left drops by 0.04 gallons each mile

The slope of a line governs its steepness. Using mathematics, the gradient is expressed as "gradient overflow" (the change in y divided by the change in x). The slope is the ratio of the vertical (rise) to the horizontal (run) change in distance between any two sites. Every time the equation for a straight line is written as y = mx + b, the slope-intercept representation of the equation is utilized. At the location of the y-intercept, the line has a slope of m, b, and c. (0, b). As an example, the y-intercept of the equation y = 3x - 7 has a value of 3. (0, 7).

given

It is evident that with each additional row, the distance is increased by one mile and the fuel level is altered.

From one row to the next in the table, the amount of fuel left changes by -0.04 gallons.

The distance in the table that changes from one row to the next is 1 mile.

The slope is the pace at which the amount of fuel left changes in relation to the change in distance.

The line that passes through the places listed in the table has a slope of -0.04 degrees.

The slope shows a change in the amount of fuel left in each mile. Since the slope is -0.04, the amount of fuel left drops by 0.04 gallons each mile.

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Answer:

Solution given:

radius [r]=4

height [h]=5

we have

Surface area of cylinder=2πr(r+h)

=2π×4(4+5)

=72πunits³ is a required volume.

Answer:  To solve this problem, we can use the fact that a cubic centimeter of osmium has a mass of about 23 grams and the information provided about the chemist's amount of osmium.

First, we can divide the total mass of osmium by the mass of a cubic centimeter of osmium to find out how many cubic centimeters of osmium the chemist has. The equation would look like this:

2,530 grams / 23 grams/cubic centimeter = 110 cubic centimeters

So, the chemist has approximately 110 cubic centimeters of osmium.

It's worth mentioning that an exact value would require additional information as 23 grams per cc is an approximate value and also any impurities or loss of material in the sample also effect the total mass.

Step-by-step explanation:

Given:

The vertical height of the trapezoid = 2.9 m

The bases of the trapezoid are 2.3 m and 9.3 m.

To find:

The area of the given trapezoid.

Solution:

The area of a trapezoid is:

[tex]A=\dfrac{1}{2}(a+b)h[/tex]

Where, a, b are bases or length of parallel sides and h is the vertical height of the trapezoid.

Putting [tex]a=2.3,\ b=9.3,\ h=2.9[/tex] in the above formula, we get

[tex]A=\dfrac{1}{2}(2.3+9.3)(2.9)[/tex]

[tex]A=\dfrac{1}{2}(11.6)(2.9)[/tex]

[tex]A=16.82[/tex]

Therefore, the area of the given trapezoid is 16.82 square m.

The value of cos 149 degree as calculated from the calculator is found out to be -0.857167301.

Which on round off is , -0.85.

The formula to calculate the angle of depression is , θ = tan-1 (Opposite Side/Adjacent Side) .

Therefore, the AOD for cos149 degree is found out to be as ,

α = arctan(vertical distance / horizontal distance)

α = arctan(10 / 11.998)

α = arctan(0.83347224537423)

α = 0.69482025147278 ° ≈ 0.69 °

The angle of depression is defined as the point of meeting of a horizontal line with the line between the item and the observer's eye. This angle is determined by two factors , which are their height and distance.  If the item is below the observer's level, the angle produced between the horizontal line and the observer's line of sight is known as the angle of depression.

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Step-by-step explanation:

hope this helps you out with the problems

Answer:

65.6488549618 %

Step-by-step explanation:

total left = 131

left who have artistic ability = 86

proportion of left who have artistic ability = number of favorable outcomes/total outcomes = 86/131 = 0.65648854961

mutliply by 100 to convert to a percent

65.6488549618 %

The smallest whole number that can be divisible by both 176 and 342 is 30096.

To find out the least whole number that is divisible by two numbers, we have to find out the LCM. LCM is the least common multiple. This is done by factorization. We have to factorize both numbers. Prime factorization means we have to write the number as a product of prime numbers.

                   176 =  2×2×2×2×11= 2⁴× 11

                   342 = 2×3×3×19 = 2 × 3² × 19

According to the prime factorization method, we have to multiply the highest powers.

So  LCM = 2⁴×  3²× 11 ×19

               = 30096

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If the square base with perimeter 24 inches then the height  of the right pyramid be 8.485 - inches.

A right pyramid is one whose apex is located exactly above the centroid of the base. As a result, a right pyramid is a special instance of a regular pyramid.

It is referred to as the right pyramid if the pyramid's apex lies immediately above the base's center. If not, the pyramid is known as the oblique pyramid.

A right-triangular pyramid is a three-dimensional object that has a base that is a right-angle triangle and extends up to a single point.

Right pyramids have apex points that are immediately above the centroid of their base. Oblique pyramids are referred to as non right pyramids. An implied right pyramid is a regular pyramid since it has a regular polygon base.

24 / 4 = 6 inches - the edge length of the square base

9² = 3² + Height²

simplifying the above equation, we get

Height² = 9² - 3²

Height² = 72 take the square root of both sides

Height = ~8.485 - inches - the height of the pyramid.

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If the square base with perimeter 24 inches then the height  of the right pyramid be 8.485 - inches.

The centroid of the base is exactly where the top of a right pyramid sits. Consequently, a right pyramid is a unique example of a standard pyramid.

If the top of the pyramid sits directly above the centre of the base, it is referred to as the right pyramid. If not, the structure is referred to as an oblique pyramid.

A right-triangular pyramid is a three-dimensional object with a base that rises to a single point from a right-angle triangle.

Apex points of right pyramids are located directly above the centroid of their base. Non-right pyramids are another name for oblique pyramids. Given that its base is a regular polygon, an implied right pyramid is a typical pyramid.

24 / 4 = 6 inches - the edge length of the square base

9² = 3² + Height²

simplifying the above equation, we get

Height² = 9² - 3²

Height² = 72 take the square root of both sides

Height = ~8.485 - inches - the height of the pyramid.

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Answer:

unbiased

Step-by-step explanation:

Answer:

I think its unbiased because biased is where prejudice in favor of or against one thing, person, or group compared with another, usually in a way considered to be unfair. and I think it is fair. I might be wrong tho

Answer:

A. El triángulo equilátero.

Step-by-step explanation:

Un triángulo equilátero tiene ángulos agudos.

Los ángulos agudos tienen una medida de menos de 90 grados.

La suma de los ángulos del triángulo siempre debe ser igual a 180 grados.

Cuando 3 ángulos son iguales, la medida de cada uno de ellos vendrá dada por

3 veces = 180

x = 180/2 = 60 grados

La suma de los ángulos del cuadrado siempre es igual a 360 grados. Cuando 4 ángulos son iguales, la medida de cada uno de ellos vendrá dada por

4x = 360

x = 360/4 = 90 grados

Un cuadrado tiene cuatro ángulos rectos.

La suma de los ángulos del pentágono siempre es igual a 540 grados. Cuando 5 ángulos son iguales, la medida de cada uno de ellos vendrá dada por

5 veces = 540

x = 540/5 = 108 grados

Un pentágono regular tiene 5 ángulos obtusos.

La suma de los ángulos interiores del heptágono siempre es igual a 900 grados. Cuando 7 ángulos son iguales, la medida de cada uno de ellos vendrá dada por

7x = 900

x = 900/7 = 128,57 grados

Un heptágono regular tiene 7 ángulos obtusos.

Entonces, solo el triángulo equlateral tiene ángulos agudos.

English

An equilateral triangle has acute angles.

Acute angles are having measurement less than 90 degrees.

The  sum of angles of the triangle must always be equal to 180 degrees.

When 3 angles are equal then the measure of each of them will be given by

3x= 180

x= 180/2= 60 degrees

The  sum of angles of square always equal 360 degrees. When 4 angles are equal then the measure of each of them will be given by

4x= 360

x= 360/4= 90 degrees

A square has four right angles.

The  sum of angles of pentagon always equal 540 degrees. When 5 angles are equal then the measure of each of them will be given by

5x= 540

x= 540/5= 108 degrees

A regular pentagon has 5 obtuse angles.

The  sum of  interior angles of heptagon always equal 900 degrees. When 7 angles are equal then the measure of each of them will be given by

7x= 900

x= 900/7= 128.57 degrees

A regular heptagon has 7 obtuse angles.

So only equilateral triangle has acute angles.

Answer:

Mountains It will because when they collide one goes up and it will form a Mountain over time.

Step-by-step explanation:

hope it helps

have a great day

Answer:

Mountains

Step-by-step explanation:

Deep ocean trenches, volcanoes, island arcs, submarine mountain ranges, and fault lines are examples of features that can form along plate tectonic boundaries. When the plates move they collide or spread apart allowing the very hot molten material called lava to escape from the mantle. When collisions occur they produce mountains, deep underwater valleys called trenches, and volcanoes.

Answer:

v=πr²h

v=3.14x6²x6

v=3.14x36x6

v=678.24cm³

Answer: Let x be the number of $13 books that Auggie bought and y be the number of $24 books. Then we can represent the given information in the following system of linear equations:

x + y = 8 (the total number of books Auggie bought is 8)

13x + 24y = 159 (the total amount of money Auggie spent is $159)

This system of linear equations represents the given situation. We can use this system to find out how many books Auggie bought of each price by solving the system of equations.

The equation (1) represents the number of books that Auggie bought is 8, and equation (2) represents the amount of money he spent $159. This system of equations is a valid representation of the given situation because the values of x and y that satisfy the system of equations will be the number of $13 books and the number of $24 books that Auggie bought.

Step-by-step explanation: