One of the legs of a right triangle measures 9 cm and the other leg measures 2 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.

Answer:

A. 20.81 mph

Step-by-step explanation:

x = speed of the boat in still water.

one part of the trip is 10 miles downstream, where the speed of the boat and the speed of the current add together.

and the other part of the trip is the trip back the 10 miles upstream, where the speed of the current works against the speed of the boat :

10/(x + 15) + 10/(x - 15) = 2

10 + 10×(x+15)/(x-15) = 2×(x+15)

10×(x-15) + 10×(x+15) = 2×(x+15)×(x-15)

20x = 2×(x² - 225)

10x = x² - 225

0 = x² - 10x - 225

solution of a quadratic equation

x = (-b ± sqrt(b² - 4ac)) / (2a)

a = 1

b = -10

c = - 225

(10 ± sqrt(100 - 4×1×-225)) / 2 =

= (10 ± sqrt (100 + 900)) / 2 = (10 ± sqrt(1000)) / 2 =

= (10 ± 31.62) / 2

x1 = 41.62 / 2 = 20.81 mph

x2 is negative and did not make any sense.

Answer:

p-$125= reduced price

Step-by-step explanation:

reduced implies that the $125 was SUBTRACTED from the original price.

Answer:

D

Step-by-step explanation:

[tex]5(9 + 4) \\ 5(13) \\ 65 \\ prove \: it \: d \: answer \\ 5(9) + 20 \\ 45 + 20 \\ = 65[/tex]

Answer:

C

Step-by-step explanation:

In fact the point doesn’t lies on the graph or between the lines

Answer:

1

Step-by-step explanation:

So we can actually simplify the exponents here. The power rule for exponents is that when multiplying, you add the exponents. So,

3 + (-3) = 0

so the number is now 4^0.

Everything by the power of 0 is equal to 1, so the answer is 1.

Hope this helps !!

-Ketifa

Answer: 4 bags of oranges and 3 bags of apple

Step-by-step explanation:

Each bag of oranges is 5 and 5 times 4 is 20 Each bag of apples is 3 and 3 times 3 is 9 so 20 + 9 = 29

Answer:

B and D

Step-by-step explanation:

Answer:

The answer is 7/12 , 6/8 , 4/5 from least to greatest.

Answer

7/12, 6/8, 4/5

Answer:

i think A is answer you should to do

Answer:

15$

Step-by-step explanation:

you need to check how much of e costs and you do that by dividing the price by the amount and than comes up to 1.5 that's for 1 and for 10 it's 15 hope that helps

Answer:

$14

Step-by-step explanation:

x = price of scarf 1

y = price of scarf 2

together they cost $25

x + y = 25

one scarf costs $3 more than the other

x = y + 3

now we use that in the first equation again

y+3 + y = 25

2y +3 = 25

2y = 22

y = $11

=> x = y +3 = 11 + 3 = $14

Respuesta:

0,9 veces

Explicación paso a paso:

Deje que la cantidad en la cuenta de Martha se denote como x, que es la cantidad en la cuenta = x

Porcentaje retirado para transporte = 10%

El porcentaje total siempre será del 100%

Por lo tanto, si se retira el 10%, entonces; el porcentaje restante es:

Porcentaje total: porcentaje gastado en transporte

(100% - 10%) * monto en cuenta

90% * x = 0,9 * x = 0,9x

Saldo de cuenta nueva = 0.9x

Answer:

a.

f(1)=6; f(n)=6+d(n-1), n>0

Step-by-step explanation:

We are given that

First layer has squares, a=6

Second layer has squares, a2=12

We have to find  an arithmetic explicit formula to determine the number of squares in each layer.

[tex]d=a_2-a_1=12-6[/tex]

nth term of an A.P

[tex]a_n=a+(n-1)d[/tex]

Substitute the value of a

Now, we get

[tex]a_n=6+(n-1)d[/tex]

f(1)=a=6

[tex]a_n=f(n)=6+d(n-1)[/tex]

Hence, option a is correct.

a.

f(1)=6; f(n)=6+d(n-1), n>0

Answer:

f(1) = 6; f(n) = 6 + d(n − 1), n > 0

Step-by-step explanation:

I took the test on flvs and got it right.

100% Guaranteed Correct :)

, Hope this helps

Have a great day!!

Answer:

a. quadratic.

The given polynomial p(x)=4x−2x²+3 is a quadratic polynomial. The correct option is A.

A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.

In algebra, a polynomial function with one or more variables in which the highest-degree term is of the second degree is known as a quadratic function, a quadratic polynomial, a polynomial of degree 2, or simply a quadratic.

In the given polynomial p(x)=4x−2x²+3 it can be observed that the degree of the polynomial is 2 or the highest power of the variable is 2.

Therefore, the given polynomial p(x)=4x−2x²+3 is a quadratic polynomial. The correct option is A.

To know more about quadratic polynomials follow

https://brainly.com/question/1214333

#SPJ5

Answer:

m<1=74

m<2=37

Step-by-step explanation:

m<2 is the same as the other angle, 37 degrees. So now we need to find the other angle in the triangle.

37+37+x=180.

The total degree of a triangle is 180.

x=106

Subtract that from 180 to get m<1.

180-106=74

I hope this helps!

Good luck!

Answer:

mean = 85, standard deviation = 3.5

Step-by-step explanation:

The empirical rule states that for a normal distribution, 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviation of the mean and 99.7% falls within three standard deviation of the mean.

From the diagram since the shaded are is approximately 95% of the data. Hence 95% falls within two standard deviations of the mean.

σ = standard deviation, μ = mean

Hence; μ ± 2σ = (78, 92)

μ - 2σ = 78       (1);  

μ + 2σ = 92       (2)

Adding equation 1 and 2, gives 2μ = 170

μ = 85

μ - 2σ = 78

85- 2σ = 78

2σ = 7

σ = 3.5

Answer:

Wait did you mean how many points will it be after an entire SEASON?

Step-by-step explanation:

1) = {5(x+y)} - 2x

= 5x + 5y - 2x

= 3x + 5y

2)= {2(p×q)} + (p×q)

= (2p×2q)+ p×q

= 4pq + pq

= 5pq

3)= 6a + (8b + 2a)

= 8a + 8b

= 8(a+b)

4)= 3x² + ( x²+7x)

= 4x² + 7x

= x(4x+7)

Answer:

Step-by-step explanation:

72) 5*(x +y) - 2x

  = 5x + 5y - 2x  {Distributive property}

  = (5x - 2x) + 5y    {Combine like terms}

  = 3x + 5y

73) 2*(pq) + pq

   = 2pq + pq     {Combine like terms}

   = 3pq

74) 6a + (8b + 2a)

     = 6a + 2a + 8b   {Combine like terms}

    = 8a + 8b

75) 3*x² + (x² + 7x)

   = 3x² + x² + 7x   {Combine like terms}

   = 4x² + 7x

Answer:

+4/3

Step-by-step explanation:

-3/4 * -1 = 3/4 then flip it to 4/3

Answer:

4/3

Step-by-step explanation:

the slope of a perpedicular line is the inverse times negative one.

1)the inverse of -3/4 is -4/3

2)-4/3*-1 is 4/3

Answer:

Step-by-step explanation:

(b - c)/b * (b+c)/b  Notice how the second fraction is inverted and multiplied. That's how you handle a 4 tier fraction. Here's a simpler example

[tex]\frac{\frac{2}{3} }{\frac{4}{5} } = \frac{2}{3} * \frac{5}{4}[/tex]

What you get with your problem is

(b^2 - c^2)/b^2

Answer:

344064

Step-by-step explanation:

hope it is well understood

Answer:

i can help you i know this question

Answer:

dx/dy = y/2x

Step-by-step explanation:

-4x × dx/dy = -2y..... that's all

Answer:

Here is your answer....

Hope it helps.....

Answer:

-3

Step-by-step explanation:

expand the bracket by multiplying everything

inside by 3

after that collect like terms

then solve to come up with -3 as ur answer

9514 1404 393

Answer:

  5/48, 5/46, 5/44, 5/42

Step-by-step explanation:

We can choose unit fractions with denominators between 8 and 10, separated by (10-8)/5 = 0.4 units:

  1/8.4 = 5/42

  1/8.8 = 5/44

  1/9.2 = 5/46

  1/9.6 = 5/48

__

Check

_____

Additional comment

There are an infinite number of such fractions. We are given unit fractions with different denominators, so it works reasonably well to choose denominators between those given. Then the trick is to convert the fraction to a ratio of integers. In this case, multiplying by (5/5) does the trick.

__

Another approach is to write the fractions with a common denominator, then choose numerators between the ones given. For example, 1/10 = 4/40, and 1/8 = 5/40, so you could write some fractions with numerators between 4 and 5. Possibilities are 4.1/40 = 41/400, 4.3/40 = 43/400, 4.7/40 = 47/400, 4.9/40 = 49/400.

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

See this attachment

Answer:

247/7 = 35 2/7

247/7 = 35 reminder 2

247/7 = 35.2857142857...

Step-by-step explanation:

             35      

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

   7    |   247

             21

          -----------

               37

               35

             ---------

                 2

247/7 = 35 2/7

247/7 = 35 reminder 2

247/7 = 35.2857142857...