i want to fined out that
a^2+b^2
________is equal to?
a+b

To Find :

The area of triangle whose side are 4 yard, 14 yard and 17 yard.

Solution :

We will use Heron's formula to find area of the triangle.

So,

[tex]s = \dfrac{a+b+c}{2}\\\\s = \dfrac{4+14+17}{2}\\\\s = 17.5[/tex]

Now, heron's formula is :

[tex]A = \sqrt{s(s-a)(s-b)(s-c)}[/tex]

Putting all given values in above equation :

[tex]A = \sqrt{17.5\times (17.5-4)\times(17.5-14)\times(17.5-17)}\\\\A = \sqrt{17.5\times 13.5\times 3.5\times 0.5}\\\\A = 20.33\ yard^2[/tex]

Hence, this is the required solution.

Answer:

The expected value is $0.1125

Step-by-step explanation:

The number of packages worth $0.70 in the grab bag = 20

The number of packages worth $0.60 in the grab bag = 15

The number of packages worth 30 cents in the grab bag = 5

The amount paid to pick one package = 50 cents

The number of packages in the bag, n = 20 + 15 + 5 = 40

The total value of the packages in the grab bag, 'V', is given as follows;

V = 20 × $0.70 + 15 × $0.60 + 5 × $0.30 =  $24.5

The average value of the packages in the bag, A = V/n

∴ A = $24.5/40 = 0.6125

The expected value is the value of the investment, at a point in time, the expected value E(X) is found by finding the sum of the of the calculations of the possible outcomes as follows

Whereby a $0.70 package is picked up, we have;

E(X)₁ = ($0.70 - $0.50) × 20/40 = $0.10

Whereby a $0.60 package is selected, we have;

E(X)₂ = ($0.60 - $0.50) × 15/40 = $0.0375

Whereby a $0.30 package is selected, we have;

E(X)₃ = ($0.30 - $0.50) × 5/40 = $(0.025)

Therefore, the expected value, E(X), is found as follows;

E(X) = E(X)₁ + E(X)₂ + E(X)₃

E(X) = 0.1 + 0.0375 - 0.025 = $0.1125

The expected value, E(X) = $0.1125

Answer:

(x + 3)(x - 1)

Step-by-step explanation:

Given

x² + 2x - 3

Consider the factors of the constant term (- 3) which sum to give the coefficient of the x- term (+ 2)

The factors are + 3 and - 1 , since

3 × - 1 = - 3 and 3 - 1 = + 2 , then

x² + 2x - 3 = (x + 3)(x - 1) ← in factored form

What is the factor of x² + 2x - 3

[tex] \rightarrow [/tex] x² + 3x - x - 3 = 0

[tex] \rightarrow [/tex] x(x + 3) -1(x + 3) = 0

[tex] \rightarrow [/tex] (x + 3) (x - 1) = 0

[tex] \therefore [/tex] Either, x + 3 = 0 => x = -3 and x - 1 = 0 => x = 1

So, x = -3 and 1

Answer:

1. Linear pair

2. Adjacent

3. Complementary

4. Adjacent

Step-by-step explanation:

Problem 1:

Angles a and b are on a straight line. Therefore, the relationship between them can be referred a LINEAR PAIR.

Problem 2:

Angles a and b share the a common vertex and same side. Therefore, both angles can be side to be ADJACENT to each other.

Problem 3:

Angle a + angle b = 90°

Therefore, they are COMPLEMENTARY angles.

Problem 4:

angles a and b share the same side and a common vertex. They are ADJACENT angles.

Answer:

44%

0.44 is 44% of 1.

Answer:

Day  Total hours worked  regular hours        Overtime hours  

Monday              7                                        7                             0

Tuesday            10                                       8                             2

Wednesday     8                                       8                             0

Thursday     10                               8                             2

Friday              11                               8                             3

Saturday              2                                       2                             0

Step-by-step explanation:

The remaining part of the question is attached

Solution

A person can work maximum of 8 hours in a day

Overtime paid during week day = 1.5 times of $ 9.50 = $14.25

Overtime paid during weekend = 2 times of $ 9.50 = $19

Day  Total hours worked  regular hours        Overtime hours  

Monday              7                                        7                             0

Tuesday            10                                       8                             2

Wednesday     8                                       8                             0

Thursday     10                               8                             2

Friday              11                               8                             3

Saturday              2                                       2                             0

1. The regular hours that Robert LaClerq worked is 41 hours (39 for weekdays and 2 for weekend), while the overtime hours is 7 hours.

2. The calculation of Robert's regular pay is $370.50 (39 x $9.50).

3. The calculation of Robert's overtime pay during weekdays = $66.50 (7 x $9.50).

4. The calculation of Robert's overtime pay on weekends = $38.00 (2 x $19.00).

Overtime pay is the wage payment to an earner for working above the normal (regular) working hours.

Wages per hour for regular hours = $9.50

Overtime pay during weekdays = $9.50 per hour

Overtime pay during weekends = $19 per hour ($9.50 x 2)

Day               Total hours    Regular     Overtime

                      worked           hours         hours

Monday              7                   7                0 (7 - 7)

Tuesday           10                   8                2 (10 - 8)

Wednesday      8                    8                0 (8 - 8)

Thursday         10                    8                2 (10 - 8)

Friday               11                     8               3 (11 - 8)

Saturday           2                    2               0 (2 - 2)

Total hours    48                   41               7

Thus, Robert's total earnings for the week is $475 ($370.50 + $66.50 + $38.00).

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Answer:

3 adult tickets and 5 children tickets.

Step-by-step explanation:

Make a chart:

1 adult + 7 children = 1(5)+7(3) = 26

2 adults + 6 children = 2(5)+6(3) = 28

3 adults + 5 children = 3(5)+5(3) = 30

4 adults + 4 children = 4(5)+4(3) = 32

5 adults + 3 children = 5(5)+3(3) = 34

6 adults + 2 children = 6(5)+2(3) = 36

7 adults + 1 child = 7(5)+1(3) = 38

The answer in bold is the only one that leads to $30, therefore he bought 3 adult tickets and 5 children tickets.

The correct sentence is "He commented that her house was no palace".

“Litotes is a figure of speech and a form of understatement in which a sentiment is expressed ironically by negating its contrary.”

A litote is an statement that expresses the affirmative by saying the negative of the contrary.

The other statements are all statements, they do not give any indication of a deeper level of meaning.

Another example of a litote is: That wasn't the messiest house I've ever seen. In this statement, the house is being described as messy by saying that it is not.

The correct sentence is "He commented that her house was no palace".

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Answer:

[tex]V=2143.57\ mm^3[/tex]

Step-by-step explanation:

Given that,

The radius of the sphere, r = 8 mm

We need to find the volume of the sphere. The formula for the volume of a sphere is given by :

[tex]V=\dfrac{4}{3}\pi r^3[/tex]

Put all the values,

[tex]V=\dfrac{4}{3}\times 3.14\times 8^3\\\\=2143.57\ mm^3[/tex]

So, the volume of the sphere is equal to [tex]2143.57\ mm^3[/tex].

Answer:24.5

Step-by-step explanation:

a^2+ (25)^2 =35^2

a^2 +625=1225

a^2=600

a=24.494897

a=24.5

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

A P # X

Answer:

The probability that a given student is a graduate, given that he or she is on financial aid, is 30.8%.

Step-by-step explanation:

To determine what is the probability that a given student is a graduate, given that he or she is on financial aid, the following calculation must be performed:

6101 = 100

1879 = X

1879 x 100/6101 = X

187,900 / 6101 = X

30,798 = X

Therefore, the probability that a given student is a graduate, given that he or she is on financial aid, is 30.8%.

Answer:

Step-by-step explanation:

Answer:

2 7/76 kg

Step-by-step explanation:

Let the weight of

Watermelons = x

Coconut = y

There are 10 2/15 kg of watermelons and coconuts on a truck.

x + y = 10 2/15

x = 10 2/15 - y

x = 152/15 - y.... Equation 1

The weight of the watermelons is 3 3/5 times that of the coconuts.

x = 3 3/5 × y

x = 18/5 × y

x = 18y/5

How heavy are the coconuts on the truck, in kg?

Find y

We substitute 18y/5 for x in Equation 1

x = 152/15 - y

18y/5 = 152/15 - y

18y /5 + y = 152/15

Multiply through by 15

18y/5 × 15 + y × 15 = 152/15 × 15

3 × 18y + 15y = 152

54y + 15y = 152

69y = 152

y = 152/69

y = 2 14/152

y = 2 7/76 kg

Therefore, the weight of the coconuts are 2 7/76 kg

The Venn diagram shows that the number of students who offer accounting is 30.

It should be noted that a Venn diagram is an illustration which uses circles to show the relationship between the objects.

The number of students who offer accounting is:

= 25 + 5

= 30

The number of students who offer Economics is:

= 10 + 5

= 15

The number of students who offer only one subject will be:

= 25 + 10

= 35

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Answer:

the surface of hexagonal prism is 12 cm

Answer:

answer: x = 55

Step-by-step explanation:

Because a triangle will add up to 180 degrees 2 of are angles are given so I will subtract them from 180 for answer so 27 + 98 = 125

180 - 125 = 55 Hope this helps!

Answer:

x = 55°

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Subtract the sum of the 2 angles from 180° for x

x = 180° - (98 + 27)° = 180° - 125° = 55°

Answer:

$18,781.5

Step-by-step explanation:

According to the problem, calculation of the given data are as follows,

Loan amount (P) = $15,000

Rate of interest (r) = 23%

Time (t) = 5 years

Let this loan is compounding annually, then the amount after 5 years can be calculated as follows,

Final amount = P  [tex](1 + ( r/t))^{t}[/tex]

by putting the value in formula, we get

= $15,000 (  [tex](1 + ( 0.23/5))^{5}[/tex]

= $15,000 × 1.2521

= $18,781.5

Answer:

1/9

Step-by-step explanation:

The probability of getting 9 as the sum when 2 dice are thrown is 1/9.

Answer:

C

Step-by-step explanation:

6.3/3 = 2.1

12.6/6 = 2.1

18.9/9 = 2.1

Answer and Step-by-step explanation:

The answer is parallelograms.

This is because they all have 4 sides and have 2 pairs of parallel sides, which is enough to say that it is a parallelogram.

#teamtrees #PAW (Plant And Water)

Answer:

Step-by-step explanation:

As,

In the picture there is a parallelogram, rhombus, rectangle and a square.

We know,

Properties of parallelogram:-

All the above conditions are also same In a rhombus, rectangle and a square.

Hence,

Parallelogram best describes all the above shapes

Answer:

its 45

Step-by-step explanation

It's right I did it on khan

Answer:

339 cm²

Step-by-step explanation:

Using the relation for the surface area of a cylinder :

A = 2πrh

r = Radius = diameter / 2 = 4.5 / 2 = 2.25 cm

Height, h = 24 cm

A = 2 * 22/7 * 2.25 * 24

A = 339.29200 cm²

Surface Area =339 cm²

About 339cm³ of cardboard will be needed for the inner tube.

To make inner tube card board needed is 339 cm² of the material.

The surface area of a solid object is a measure of the total area that the surface of the object occupies.

Here, diameter = 4.5 cm

then, radius = 4.5/2 = 2.25 cm

          height = 24 cm

Surface area = 2πrh

                       = 2 X 3.14 X 2.25 X 24

                       = 339.12 cm²

Thus, to make inner tube card board needed is 339 cm² of the material.

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Answer:

no because it has a different starting and ending point

Step-by-step explanation:

hope it helps!

Answer:

Area of trapezoid = 21 cm²

Step-by-step explanation:

Given:

Length of rectangular shape = 4 cm

Width of rectangular shape = 3 cm

Base of triangle = 3 cm

Number of triangle = 3 cm

Find:

Area of trapezoid

Computation:

Area of trapezoid = Area of middle rectangle + Number of triangle[Area of triangle]

Area of trapezoid = [l x b] + 2[(1/2)(b)(h)]

Area of trapezoid = [4 x 3] + 2[(1/2)(3)(3)]

Area of trapezoid = 12 + 9

Area of trapezoid = 21 cm²

Answer:

nonrigid and segement lengths

Step-by-step explanation:

Answer:

m and 100are co-interior angles

so;

m+100=180. (being sum of co-interior angles)

m=180-100

m=80

like wise;

n=100

Answer:

How to write numbers in standard form:

Write the first number 8.

Add a decimal point after it: 8.

Now count the number of digits after 8. There are 13 digits.

So, in standard form: 81 900 000 000 000 is 8.19 × 10¹³

Step-by-step explanation:

please mark this answer as brainliest

Answer:

In probability theory, sample space (also called sample description space[1] or possibility space[2]) of an experiment or random trial is the set of all possible outcomes or results of that experiment.[3] A sample space is usually denoted using set notation, and the possible ordered outcomes are listed as elements in the set. It is common to refer to a sample space by the labels S, Ω, or U (for "universal set"). The elements of a sample space may be numbers, words, letters, or symbols. They can also be finite, countably infinite, or uncountably infinite.[4]

For example, if the experiment is tossing a coin, the sample space is typically the set {head, tail}, commonly written {H, T}.[5] For tossing two coins, the corresponding sample space would be {(head,head), (head,tail), (tail,head), (tail,tail)}, commonly written {HH, HT, TH, TT}.[6] If the sample space is unordered, it becomes {{head,head}, {head,tail}, {tail,tail}}.

For tossing a single six-sided die, the typical sample space is {1, 2, 3, 4, 5, 6} (in which the result of interest is the number of pips facing up).[7]

A subset of the sample space is an event, denoted by E. Referring to the experiment of tossing the coin, the possible events include E={H} and E={T}.[6]

A well-defined sample space is one of three basic elements in a probabilistic model (a probability space); the other two are a well-defined set of possible events (a sigma-algebra) and a probability assigned to each event (a probability measure function).

Another way to look at a sample space is visually. The sample space is typically represented by a rectangle, and the outcomes of the sample space denoted by points within the rectangle. The events are represented by ovals, and the points enclosed within the oval make up the event.[8]

Answer:

1/12 or 0.0833333333

Step-by-step explanation:

0.5 probability of getting heads

1/6 probability of getting a 5

1/6 * 1/2 = 1/12

Answer: I got answers A, B and E

Step-by-step explanation:

The correct three statements are supported by Joseph's data are as follows;

Joseph should plan for around 560 students at each dance based on the data.

The dances will be attended by around 700 of the students that attend the school.

Out of the 800 students, 288 do not like to attend dances after the football games.

A data set is a collection of numbers or values that relate to a particular subject.

Joseph attends a school that has 800 students. He is in charge of school dances this year.

He surveyed a random sample of 100 students and got the following feedback.

1. Here 7/10 of the students would attend any of the dances held at the school.

[tex]=\dfrac{ 7}{10}\times 800\\\\= 7 \times 80\\\\= 560[/tex]

Joseph should plan for around 560 students at each dance based on the data.

2. 18% of the students are not allowed to attend dances at school.

[tex]= (1-0.18)\times 800\\\\= 0.82 \times 800\\\\=656[/tex]

The dances will be attended by around 700 of the students that attend the school.

3. 64% of the students think that the dances should be held after football games.

[tex]=(1-0.64 )\times 800\\\\= 0.36 \times 800\\\\=288[/tex]

Out of the 800 students, 288 do not like to attend dances after the football games.

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