28) Find the circumference of a circle with a diameter of 2.5 inches. (it = 3.14)

Triangles ABC and MNO are congruent with each other using Side Side Side Rule of Congruency.

There are four rules of congruency of two triangles.

The rules are:

RHS: where in two right angled triangles, right angle, hypotenuse and another length of side are equal, so they are said to be congruent.

SSS: where in any two triangles if each three sides of a triangle are equal to corresponding sides of another triangle then that triangles are called congruent.

SAS: In two triangles, two sides and angle between them are equal for one triangle to another, so the triangles are said to congruent,

AAS: In two triangles, two angles and one side are equal for one triangle to another, so the triangles are said to congruent,

Here in the picture given that, in triangle ABC and triangle MNO,

AC = MO

AB = NO

BC = MN

So the triangles ABC and MNO are congruent with each other using Side Side Side Rule of Congruency.

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Answer:

net salary = 8047.5

Step-by-step explanation:

his basic salary is 8700

7.5% of that is (8700)(0.075) = 652.5

He gives this away, so his net salary will become

8700 - 652.5 = 8047.5 = net salary

Answer:

16 The value by which (8x^2 - 9y^2)(8x

2

−9y

2

) is larger than (3x^2 - 2y^2)(3x

2

−2y

2

) is as follows:-

\begin{gathered}(8x^2 - 9y^2) - (3x^2 - 2y^2)\\= 8x^2 - 9y^2 - 3x^2 + 2y^2\\= 5x^2 -7y^2\end{gathered}

(8x

2

−9y

2

)−(3x

2

−2y

2

)

=8x

2

−9y

2

−3x

2

+2y

2

=5x

2

−7y

2

Ce clasă ești sa văd daca te pot ajuta

Answer:

it is correct I think it's right

Step-by-step explanation:

Answer: a) 216 beats     b) almost 16 minutes

Step-by-step explanation:

54 beats/minute x 4 minutes = 216 beats

855 beats / 54 beats/minutes = 15.83333 minutes

Hope this helps!

When we evaluate the given expression, A/5 + √(B - C), the result obtained is 9 (option B)

First, we shall determine the value of A. Details below:

Quadratic equation is expressed as:

x² - (sum of root)x + product of root

Comparing the above with x² - 11x + 30, we have

x² - 11x + 30 = x² - (sumof root)x + product of root

Product of roots = 30

Thus,

A = 30

Next, we shall determine the value of B. details below:

f(x) = x² + 5

f(2) = 2² + 5

f(2) = 9

Thus,

B = 9

Next, we shall determine the value of C. Details below:

Let

x + 4 = 0

Thus,

x = -4

Substitute the value of x into x² - 2x - 24 to obtain the remainder as shown below:

Remainder = x² - 2x - 24

Remainder = (-4)² - 2(-4) - 24

Remainder = 0

Thus,

C = 0

Finally, we shall determine value of A/5 + √(B - C). Details below:

A/5 + √(B - C) = 30/5 + √(9 - 0)

A/5 + √(B - C) = 6 + √(9

A/5 + √(B - C) = 6 + 3

A/5 + √(B - C) = 9

Thus, the value of A/5 + √(B - C) is 9 (option B)

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Answer:

x (x-5) 5( x-5)

(x×x)- (x× 5) + ( 5× x) - ( 5×5)

x squared - 5x + 5x -25

x squared -5

Answer:

To multiply out (x - 5) (x - 5), we can use the distributive property twice:

(x - 5) (x - 5) = x(x) - x(5) - 5(x) + 5(5)

= x^2 - 5x - 5x + 25

= x^2 - 10x + 25

Therefore, (x - 5) (x - 5) simplifies to x^2 - 10x + 25.

Step-by-step explanation:

Answer:

66.5 in or 5.5 ft (rounded)

Step-by-step explanation:

Answer:

5 ft    6 1/2 inches

Step-by-step explanation:

6 1/4 ft

1/4 ft is 3 inches

6 ft 3 inches

Subtract 8 1/2 inches

6 ft  3 inches

-      8  1/2 inches

------------------------------

borrow from the ft  ( 1 ft = 12 inches)

5 ft  3+12 inches

-      8  1/2 inches

------------------------------

5 ft  15 inches

-      8  1/2 inches

------------------------------

5 ft    6 1/2 inches

The set of prime numbers greater than 11 with the cardinality of 5 is {13, 17, 19, 23, 29}

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

Set = prime numbers

Cardinality = 5

The cardinality implies that the number of elements in the set is 5

5 prime numbers greater than 11 are 13, 17, 19, 23, 29

Hence, the set is {13, 17, 19, 23, 29}

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\(3^x=(-27)^{-6} \\ \\ 3^x=(-3^3)^{-6} \\ \\ 3^x=(3^3)^{-6} \\ \\ 3^x=3^{-18} \\ \\ \boxed{x=-18}\)

Answer:

Set your calculator to Degree mode.

a² = 17² + 20² - 2(20)(17)cos(89°)

a² = 677.13236

a = 26.0 in.

sin(89°)/26.02177 = (sin B)/17

sin B = 17sin(89°)/26.02177

B = 40.8°

C = 50.2°

Answer:

option 3, c.

Step-by-step explanation:

Answer:

Its C on ed

Step-by-step explanation:

Answer:

-2x(5x²-6)

Step-by-step explanation:

hope this helps you

Answer:

First, express the fraction in partial fractions

Write it out as an identity:

\(\dfrac{2x-10}{x(x+1)(x-1)} \equiv \dfrac{A}{x}+\dfrac{B}{(x+1)}+\dfrac{C}{(x-1)}\)

Add the partial fractions:

\(\dfrac{2x-10}{x(x+1)(x-1)} \equiv \dfrac{A(x+1)(x-1)+Bx(x-1)+Cx(x+1)}{x(x+1)(x-1)}\)

Cancel the denominators from both sides of the original identity, so the numerators are equal:

\(2x-10 \equiv A(x+1)(x-1)+Bx(x-1)+Cx(x+1)\)

Now solve for A, B and C by substitution.

Substitute values of x which make one of the expressions equal zero (to eliminate all but one of A, B and C):

\(\begin{aligned}x=0 \implies 2(0)-10 & =A(0+1)(0-1)+B(0)(0-1)+C(0)(0+1)\\-10 & = -A\\\implies A & = 10\end{aligned}\)

\(\begin{aligned}x=1 \implies 2(1)-10 & =A(1+1)(1-1)+B(1)(1-1)+C(1)(1+1)\\-8 & = 2C\\\implies C & = -4\end{aligned}\)

\(\begin{aligned}x=-1 \implies 2(-1)-10 & =A(-1+1)(-1-1)+B(-1)(-1-1)+C(-1)(-1+1)\\-12 & = 2B\\\implies B & = -6\end{aligned}\)

Replace the found values of A, B and C in the original identity:

\(\implies \dfrac{2x-10}{x(x+1)(x-1)} \equiv \dfrac{10}{x}-\dfrac{6}{(x+1)}-\dfrac{4}{(x-1)}\)

Now integrate:

\(\begin{aligned}\displaystyle \int \dfrac{2x-10}{x(x+1)(x-1)}\:dx & =\int \dfrac{10}{x}-\dfrac{6}{(x+1)}-\dfrac{4}{(x-1)}\:\:dx\\\\& =10\int \dfrac{1}{x}\:dx\:\:-6 \int\dfrac{1}{(x+1)}\:dx\:\:-4 \int \dfrac{1}{(x-1)}\:dx\\\\& = 10 \ln |x|-6 \ln |x+1|-4 \ln |x-1|+C\end{aligned}\)

Objects commonly found in a locality include residential buildings, commercial establishments, public facilities, transportation infrastructure, landmarks, natural features, utilities, street furniture, and vehicles.

The type of objects that can be found in a locality can vary greatly depending on the specific location and its surroundings. Here are some common types of objects that can be found in a locality:

Residential Buildings: Houses, apartments, condominiums, and other types of residential structures are commonly found in localities where people live.

Commercial Establishments: Localities often have various types of commercial establishments such as stores, shops, restaurants, cafes, banks, offices, and shopping centers.

Public Facilities: Localities typically have public facilities such as schools, libraries, hospitals, community centers, parks, playgrounds, and sports facilities.

Transportation Infrastructure: Localities usually have roads, sidewalks, bridges, and public transportation systems like bus stops or train stations.

Landmarks and Monuments: Some localities may have landmarks, historical sites, monuments, or cultural attractions that represent the area's heritage or significance.

Natural Features: Depending on the locality's geographical characteristics, natural features like parks, lakes, rivers, mountains, forests, or beaches can be present.

Utilities: Localities have infrastructure for utilities such as water supply systems, electrical grids, sewage systems, and telecommunications networks.

Street Furniture: Localities often have street furniture like benches, streetlights, waste bins, traffic signs, and public art installations.

Vehicles: Various types of vehicles can be found in a locality, including cars, bicycles, motorcycles, buses, trucks, and possibly other modes of transportation.

It's important to note that the objects present in a locality can significantly differ based on factors such as urban or rural setting, cultural context, economic development, and geographical location.

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The following phrases are used in place of supply chain:

Supply network ; Demand chain ; Extended enterprise ; Supply web.

The supply chain is a networked system of businesses, people, information, and assets created to locate, produce, and transport items from their point of origin to their final destination, which is often from the a supplier to a customer.

Modern supply chains sometimes span several nations and involve numerous processes, making them exceedingly complicated.

The fundamental steps in such a supply chain are as follows:

Thus, the following phrases are used in place of supply chain:

Supply network ; Demand chain ; Extended enterprise ; Supply web.

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The correct solutions to the quadratic equation are:

c. -8

e. 2

To determine the solutions to the quadratic equation 2x^2 + 6x - 10 = x^2 + 6, we need to solve for x.

First, let's simplify the equation by combining like terms:

2x^2 + 6x - 10 - x^2 - 6 = 0

x^2 + 6x - 16 = 0

Now, we can solve this quadratic equation by factoring or by using the quadratic formula.

By factoring:

(x + 8)(x - 2) = 0

Setting each factor equal to zero, we get:

x + 8 = 0 --> x = -8

x - 2 = 0 --> x = 2

So, the solutions to the quadratic equation are x = -8 and x = 2.

Now, let's check the given options:

a. -2: This value is not a solution to the equation.

b. 1/3: This value is not a solution to the equation.

c. -8: This value is a solution to the equation.

d. -1/2: This value is not a solution to the equation.

e. 2: This value is a solution to the equation.

f. 8: This value is not a solution to the equation.

The following are the proper answers to the quadratic equation: c. -8 e.2

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Answer:

Triangle 2

Step-by-step explanation:

a^2+b^2=c^2

6^2+8^2=10^2

36+64=100

100=100

Answer:  x-3y+12

Step-by-step explanation:

You need to know the rules for signed numbers.  Study them.

Assuming addition of integers:

Separate your like terms and simply them:

so starting with x terms: -3x+4x ; (4x is the same as saying +4x)

so next with y terms: -2y-y; (remember -y is the same as saying -1y)

so next number with no terms: +7+5

Solve for each:  -3x+4x= 1x

                          -2y-y= -3y

                           +7+5= 12

Simplify expression with solved termsin order:  1x-3y+12

ans: x -3y +12

Hope this helped.

Hi! Your answer is 11. When multiplying terms with exponents, the exponents add up.

Step-by-step explanation:

You want to multiply the terms with the exponents. You should get 3 and 8, add those up and you will get 11.

Hope this helps! Have a good day :)

Answer:

no

Step-by-step explanation:

pfffft hahahahahaahh # a u problem

Answer:

184.1

Step-by-step explanation:

You have 4 different areas you need to look at. 1 half circle with a diameter of 8, a triangle with a height of 5, base of 6 and right angle, a rectangle with the measures of 8 and 9 and another rectangle with measures of 6 and 12

Circle:

\(A = \pi r^{2} \\A = \pi 4^{2} \\A = 50.265\)

Area of the half circle is 25.1325

Triangle:

\(A = h\frac{b}{2} \\A = 5 \frac{6}{y} \\A = 15\)

Area of the triangle is 15

Rectangle:

\(A = wl\\A = 9*8\\A = 72\)

Area of first rectangle is 72

Area of 2nd rectangle is using 6 and 12 = 72

Now add all together for your total area

Answer:

Possibly a 2 x 15 pencil box :)

$6042.22 is the monthly payment on the mortgage.

To calculate the monthly payments on the mortgage, we can use the formula for the monthly payment on a fixed-rate mortgage:

\(M = P*(\frac{r}{12} )/(1 - (1 +\frac{r}{12})^{(-n*12)})\)

where M is the monthly payment, P is the principal (loan amount), r is the yearly interest rate, and n is the number of years.

Substituting the given values, we get:

\(M = 1200000*(0.0195/12)/(1 - (1 + 0.0195/12)^(-20*12))\)

Simplifying, we get:

M = $6042.22(rounded to the nearest cent)

So the monthly payment on the mortgage is $6042.22.

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The value of the inverse function f-¹ (3) is (e) 11

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

f(x) = x - 8

To calculate the inverse value at f-¹ (3)

We set the value to 3

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

x - 8 = 3

Evaluate the like terms

x = 11

Hence, the value of the inverse function is (e) 11

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Complete question

if f(x) = x - 8, what is the value of f-¹ (3)?

Answer- b

Step-by-step explanation:

its b