Find the missing length of the triangle.
10 in.
16
26 in.

Check the picture below.

The expression for the given word phrase is

46M + M² + 2 + 1/M²

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number = M

Reciprocal of M = 1/M

Now,

46 x (M + 1/M)²

Step 1:

46M + M² + 2 + 1/M²

Thus,

The expression is 46M + M² + 2 + 1/M²

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Answer:

\(2\)

Step-by-step explanation:

Let \([n]\) denote the area of some polygon \(n\).

The sum of the area of quadrilaterals BCDE and MNDE is equal to \([ABC]-([MBE]+[NDC]+AMN])\) (big triangle subtracting the three smaller triangles that aren't part of BCDE or MNDE).

Let the area of triangle ABC be \(\alpha\).

Triangle AMN is similar to triangle ABC. Because their side lengths are in ratio 1:2 respectively, the ratio of the area of triangle AMN to triangle ABC is \(1:2^2=1:4\).

Therefore, \(\displaystyle [AMN]=\frac{1}{4}[ABC]=\frac{1}{4}\alpha\).

Now for triangle NDC, NDC is similar to triangle AMC. Since M is the midpoint of AB, AMC is half the area of ABC. The ratio of the side lengths between triangle NDC and triangle AMC is \(1:2\) because the D is the midpoint of MC, so it follows the ratio of their areas must be \(1:4\), respectively.

Therefore, \(\displaystyle[NDC]=\frac{1}{4}[AMC]=\frac{1}{8}[ABC]=\frac{1}{8}\alpha\).

We can use the same concept for triangle MEB. Triangle MEB is similar to triangle ANB, and the ratio of their sides is also \(1:2\), since E is the midpoint of BN. Their areas are in the ratio \(1:2^2=1:4\) and we have \(\displaystyle [MBE]=\frac{1}{4}[ANB]=\frac{1}{8}\alpha\).

Thus,

\(\displaystyle \frac{[ABC]}{[BCDE]+[MNDE]}=\frac{\alpha}{\alpha-\frac{1}{4}\alpha-\frac{1}{8}\alpha-\frac{1}{8}\alpha}=\frac{\alpha}{0.5\alpha}=\frac{1}{\frac{1}{2}}=\boxed{2}\)

Answer: you have to divide

Step-by-step explanation:

The expression (-3)0 has a value of 0 when evaluated because a number multiplied by 0 gives 0

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

(-3)0

The above statement is a product expression that multiplies the values of -3 and 0

Also, there is no need to check if there are like terms in the expression or not

This is  because we are multiplying the factors

So, we have

(-3)0 = 0

This means that the value of the expression is 0 i.e a number multiplied by 0 gives 0

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We need to use the pythagorean theorem:

In a right triangle we have:

hyppootenuse

leg1

leg2

And the theorem says:

In this case:

leg1 = 9cm

leg2 = 3cm

And solve for c:

To the nearest tenth:

c = 9.5cm

The values 8, 15 and 17 is a Pythagorean triple and therefore a right angle triangle.

A Pythagorean triple is a set of three positive integers, a, b, and c, such that a^2 + b^2 = c^2, which represents the sides of a right-angled triangle, where c is the hypotenuse.

In this problem, we can we can check if the values are for a right angle triangle.

Assuming this is a right angle triangle which obeys Pythagoras theorem, the longest side will be the hypothenuse.

c² = a² + b²

17² = 15² + 8²

289 = 225 + 64

289 = 289

From the calculation above, the values of is a Pythagorean triple.

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The value of the missing part of the triangle such as PR and ST = 8 and 5 respectively

Triangle PQS is congruent with triangle PRS

Therefore, PQ = PR

That is;

PQ = 8

PR = 2x

8 = 2x

X = 8/2 = 4

PR = 2(4) = 8

For ST;

Triangle VST = VUT

That is, TU = ST

ST = 5z

TU = 2z+3

5z = 2z+3

5z+2z = 3

z= 3/3 = 1

ST = 5(1) = 5

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Un ascensor sube al piso 16. Luego baja 11 pisos: Resta a 16 los 11 pisos que baja el ascensor (16-11=5). (An elevator goes up to the 16th floor. It then comes down 11 floors)

Estando en el piso 5 vuelve a subir 15 pisos: Suma al piso 5 los 15 pisos que sube: (5+15 =20) (going back up 15 floors )

Entonces, al final el ascensor esta en el piso 20.

This type of problem can be solved in various ways such as in terms of ratios and fractions, Let us go with fractions.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, Miami Marlins won 14 of their first 27 games.

So, their win rate in decimal is,

= 14/27.

= 0.518.

∴ In 162 games at the same rate, Miami Marlins will win,

162×0.518.

= 84 games.

So, after playing 162 games they'll win 84games.

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Answer:

803 people

Step-by-step explanation:

6425 / 8 = 803.125

803 because there is no such thing as .125 person

Answer:

Step-by-step explanation:

Let's just say this circle has value x.

x increases by 5%, or 0.05 of x.

x + 0.05x = 1.05x

1.05x now increases by 5% again:

1.05x + 0.05(1.05x) = 1.1025x

The total increase is equal to (1.1025-1)*100 = 10.25%

Hope this helps!

The value of summation of ( x-2)² is 973

A summation, also called a sum, is the result of arithmetically adding numbers or quantities. A summation always contains a whole number of terms. There can be as few as two terms, or as many as a hundred, a thousand, or a million. Some summations contain infinitely many terms.

if

x (x-2) ( x-2)²

15 13 169

13 11 121

13 11 121

4 2 4

19 17 289

12 10 100

6 4 16

5 3 9

14 12 144

Therefore the summation of (x-2)²

= 169+121+121+4+289+100+16+9+144 = 973

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Answer:answer

Step-by-step explanation:

The value of summation of ( x-2)² is 973

Answer:

75

____ x 294 = 220.5 around 221 students.

100

The keyword of means multiplication.

Consider a percent out of 100.

A way to remember is that: "cent" means 100.

Originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.

Originality refers to the quality of being unique, new, and innovative. It involves creating something that has not been seen or experienced before. The best description of originality is that it is having a low probability and being unique.

An original idea, product, or work of art is something that has not been copied or imitated from others. It represents a new perspective or approach that can offer a fresh insight into a problem or challenge. Originality requires a high level of creativity, imagination, and inspiration, as well as a willingness to take risks and explore new possibilities.

Nonobviousness is also an important factor in originality. It means that the idea or invention is not something that would be obvious to someone skilled in the same field or industry. In other words, an original idea should not be something that could be easily predicted or anticipated.

Special or interesting are also characteristics of originality, but they are not sufficient to define it. An idea or product can be special or interesting without being truly original. For example, a new flavor of ice cream may be interesting, but it may not be original if it has already been created by someone else.

Convergent thinking, on the other hand, involves finding a single solution to a problem. It is the opposite of divergent thinking, which involves generating multiple ideas and possibilities. Convergent thinking is important for finding effective solutions to problems, but it is not the same as originality.

In conclusion, originality is the quality of being unique, new, and innovative. It requires creativity, imagination, inspiration, and nonobviousness. Special or interesting aspects may be present, but they are not sufficient to define originality.

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si 8888888888888888888888888888

Based on the information given, the price of the zero coupon bond is $692.04.

To calculate the price of a zero coupon bond, we need to use the following formula:

\(\sf P =\dfrac{F}{1+r\div n}^{(nt)\)

Where:

Also, the annual interest rate is 7.50%, which is the market interest rate, and the compounding is semiannual, which means n = 2. Finally, the time to maturity is 5 years.

Plugging in the values into the formula, we get:

\(\sf P = \dfrac{1000}{(1+0.075\div2)^{(2\times5)}}\)

\(\sf P = \dfrac{1000}{(1.0375)^{10}}\)

\(\sf P = \dfrac{1000}{1.4450}\)

\(\sf P = \$692.04 \ \ (rounded \ to \ the \ nearest \ cent)\)

Therefore, the price of the zero coupon bond is $692.04.

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Step-by-step explanation:

3^6  = 3 * 3^5

 = 3 * 243 =  729

Answer:

The final cost of the golf club after subtracting the discount and adding sales tax from the original sale price is $95.944

Step-by-step explanation:

Given the Parameters :

   Original sale price = $129

Discounted price = (1 - 0.30) × 129 = $90.30

The sales tax on the purchase

Tax amount = (0.0625 × $90.30) = $5.64375

Total amount paid = Discounted price + sales tax

($90.3 + $5.64375) = $95.944

Therefore, the total amount paid is $95.944

Step-by-step explanation:

hope it can work for you mark me as brain liest

Answer:

The answer is option A

Step-by-step explanation:

Since the lines are perpendicular the slope perpendicular line is the negative inverse of the original line and when they are multiplied should give - 1

Let m be the slope of the perpendicular line

That's

1/3 × m = - 1

multiply through by 3

m = - 3

The slope of the perpendicular line is - 3

Hope this helps you

Answer:

-3

Step-by-step explanation:

Answer:

Look at the money bags below!!! (but I'll give you the answer)

Step-by-step explanation:

John F: 7 full bags - 1 half

Juan A: 9 full bags

Jason A: 3 full bags

Nick J: 3 full bags- 1 half

Alfonso S: 8 full bags

Hope this helped and wasn't confusing!!! xx - Asia

According to the concept of algebraic expression and arithmetic, the correct answers are A) Number of adults = N - 25. B) Number of adults when N = 124: 124 - 25 = 99

A) Let's denote the number of children as N. Since there are 25 fewer adults than children, the number of adults can be expressed as N - 25.

B) If there are 124 children, we substitute N with 124 in the expression from part A. Thus, the number of adults would be 124 - 25 = 99.

To arrive at these answers, we used the given information that there are "N" children and 25 fewer adults than children. By substituting the value of N, we determined the number of adults in terms of N and then calculated the specific number of adults when N is equal to 124.

Note: The given question is incomplete. The complete question is:

Some adults and children are watching a musical. there are 'N' number of children. There are 25 fewer adults than children.

A) find the number of adults in terms of 'N'.

B) if there are 124 children how many adults are there?​

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Answer:

Please refer to the attachment

The value of the function at day 5 is 822000 and it means that the laser rangefinder locked on the comet is at a distance of 822000 km

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

g(x) = 300,000csc(π/42x)

Also from the question, we have

Number of days = 5

This means that

x = 5

Substitute x = 5 in the equation g(x) = 300,000csc(π/42x)

So, we have the following representation

g(5) = 300,000csc(π/42 x 5)

Evaluate the products

So, we have the following representation

g(5) = 300,000csc(5π/42)

Evaluate the cosec expression

g(5) = 300,000 * 2.74

So, we have

g(5) = 822000

Hence, the value of the function is 822000

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Complete question

A laser rangefinder is locked on a comet approaching Earth. The distance g(x) , in kilometers, of the comet after x days, for x in the interval 0 to 42 days, is given by g(x) = 300,000csc(π/42x)

Evaluate g(5) and interpret the information

Answer:

(6.5,3.5)

Step-by-step explanation:

To find the x coordinates of the midpoint, average the x coordinates of the endpoints

(10+3)/2 = 13/2 = 6.5

To find the y coordinates of the midpoint, average the y coordinates of the endpoints

(6+1)/2 = 7/2 = 3.5

(6.5,3.5)

Answer:

A) PB M(b, m), we have;

b = 1

b = 2

b = 3

B) E(B) = 1.7

C) No they are not independent

Step-by-step explanation:

A) We are told that a shipment can be in 1 box for a small order, 2 boxes for a medium order, 3 boxes for a large order. Thus;

For PB M(b, m), we have;

b = 1

b = 2

b = 3

B) Factory Q is 60 miles from the company. Thus, under factory Q in the table, m = 60

Factory R is 180 miles from the company. Thus under factory R in the table, m = 180

Now;

P_B (b) for b = 1 which is small order is;

P_B (b) = 0.3 + 0.2 = 0.5

P_B (b) for b = 2 which is medium order is;

P_B (b) = 0.1 + 0.2 = 0.3

P_B (b) for b = 3 which is large order is;

P_B (b) = 0.1 + 0.1 = 0.2

Thus;

E(B) = Σb•P_B (b) = (1 × 0.5) + (2 × 0.3) + (3 × 0.2)

E(B) = 0.5 + 0.6 + 0.6

E(B) = 1.7

C) No, they are not independent. This is because from the table we are given, P_B,M at b = 1 and m = 60 is given as 0.3.

Whereas, for B and M to be independent, P_B,M at b = 1 and m = 60 has to be equal to (P_M(m) under m = 0.3) multiplied by P_B(b) for b = 1.

Instead what we have is P_M(m) under m = 0.3 as; 0.3 + 0.1 + 0.1 = 0.5. Which means (P_M(m) under m = 0.3) multiplied by P_B(b) for b = 1 gives;

0.5 × 0.5 = 0.25 which is not equal to P_B,M = 0.3 at b = 1 and m = 60

Answer: it’s d

Step-by-step explanation: