find the value of the trigonometric ratio​

Answer: 53.2

Step-by-step explanation:

Using pythagorean theorem, a^2 + b^2 = c^2

40^2 + 35^2 = sqrt of 2825

which is 53.15

rounded up to nearest tenth is 53.2

Answer:

236m^2

Step-by-step explanation:

8x5=40x2=80

6x5=30x2=60

6x8=48x2=96

80+60+96=236

9514 1404 393

Answer:

  100°

Step-by-step explanation:

The relevant relation for angle x is ...

  x = (AB +DE)/2

and for angle y, it is ...

  y =(AC -DE)/2

Using the second relation to write an expression for DE, we have ...

  DE = AC -2y

In the first equation, this lets us write ...

  x = (AB +(AC -2y))/2 = (AB +(2AB -2y))/2

  2x = 3AB-2y . . . . . . . . . . . . . . multiply by 2

  (2x +2y)/3 = AB = AC/2 . . . . . add 2y; divide by 3

  AC = (4/3)(x +y) = (4/3)(60° +15°) . . . . multiply by 2, substitute known values

  AC = 100°

Answer:

The answer is 4 1/2

Step-by-step explanation:

Because A to C is 2 1/4 so all you have to do add 2 1/4 + 2 1/4 which will equal 4 1/2

Answer:

x + 11 is an even number.

Step-by-step explanation:

Even numbers can only be obtained from the sum of two odd numbers or two even numbers. Since we know that x + 7 is even, x + 11 must be even as well.

Answer:

10/21 of the distance

Step-by-step explanation:

2/7 distance

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

3/8 tank

The rest of the tank is 8/8 - 3/8 = 5/8

2/7 distance         x

------------------ = ----------------------

3/8 tank              5/8 tank

Using cross products

2/7 * 5/8 = 3/8x

10/56 = 3/8x

Multiply each side by 8/3

10/56 * 8/3 = 3/8x * 8/3

10/3 * 8/56=x

10/3 * 1/7 =x

10/21 =x

10/21 of the distance

Answer:

C)

Step-by-step explanation:

Just see the length of the R line, A and B are almost the same large when you add them.

============================================

Explanation:

Let x be the mass of the lead, and this mass is in kg.

The ratio 13:6:1 can be scaled up to 13x:6x:1x after multiplying all parts by x.

The portion in the middle (6x) represents how much zinc we have, while the last part (1x or simply x) is the amount of lead.

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

We're told that we have 90 kg of zinc. Set this equal to 6x and solve for x

6x = 90

6x/6 = 90/6 ..... dividing both sides by 6

x = 15

So we have 15 kg of lead

Side note: we also have 13x = 13*15 = 195 kg of copper.

( x - 2 )( x - 8 )( x + 5 ) =

( x^2 - 10x + 16 )( x + 5 ) =

x^3 - 10x^2 + 16x + 5x^2 - 50x + 80 =

x^3 + ( - 10 + 5 )x^2 + ( 16 - 50)x + 80 =

x^3 - 5x^2 - 34x + 80

We should multiply the expression by √11/ √11 fraction.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers.

To rationalize this, we multiply both the denominator and denominator by the conjugate of the denominator.

The denominator is 2-√10 and its conjugate is; (2+√10).

(2√10)/(3√11) = (2√10)/(3√11)

                      =  ((2√10)√11/(3√11) √11

                =    (2√110)/33

This is the rationalized expression.  

Learn more about multiplications;

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Answer:

I cannot understand this question

Step-by-step explanation:

I don't know what is in the question

6 minutes / 30 minutes

Divide the top and bottom by 6.

1 minute / 5 minutes

Fraction in lowest terms: 1/5

Hope this helps!

Answer:

Step-by-step explanation:

x^2 - 9x + 3 = 0 is a quadratic whose coefficients are a = 1, b = -9 and c = 3.

Use the quadratic formula to solve it.

The discriminant, b^2 - 4ac, is 81 - 4(1)(3), or 81 - 12, or 69.

The roots are:

      -b ± √(discriminant)

x = -------------------------------

              2a

And these roots in this particular problem are:

      -(-9) ± √69                    9 ± √69

= ------------------------------- = ----------------

              2(1)                                2

Answer:

Step-by-step explanation:

When you are asked to find the union of sets you find numbers that are present in both sets.

So a number that appears in both the sets of M and N are 2 and 8.

So M U N = { 2,8} where U is the symbol for union.

Answer:

Reflective symmetry over the line y = 4 is No

Reflective symmetry over the line y = 1/7x + 3 is Yes

Answer:

A company or an entrepreneurial entity engaged in commercial, industrial, or professional activity is referred to as a business. A limited liability company (LLC), a sole proprietorship, a corporation, and a partnership are examples of different types of businesses.

Answer:

The 99% confidence interval for the difference in two proportions is (0.0456, 0.1944).

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Western residents:

39% out of 640, so:

[tex]p_1 = 0.39[/tex]

[tex]s_1 = \sqrt{\frac{0.39*0.61}{640}} = 0.0193[/tex]

Eastern residents:

51% out of 540, so:

[tex]p_2 = 0.51[/tex]

[tex]s_2 = \sqrt{\frac{0.51*0.49}{540}} = 0.0215[/tex]

Distribution of the difference:

[tex]p = p_2 - p_1 = 0.51 - 0.39 = 0.12[/tex]

[tex]s = \sqrt{s_2^2+s_1^2} = \sqrt{0.0215^2+0.0193^2} = 0.0289[/tex]

Confidence interval:

[tex]p \pm zs[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

99% confidence level

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

The lower bound of the interval is:

[tex]p - zs = 0.12 - 2.575*0.0289 = 0.0456[/tex]

The upper bound of the interval is:

[tex]p + zs = 0.12 + 2.575*0.0289 = 0.1944[/tex]

The 99% confidence interval for the difference in two proportions is (0.0456, 0.1944).

Answer:

P = 24

Step-by-step explanation:

Since all the sides are the same length, the shape is a square.

Multiply all sides by 6.

6 cm x 4 sides = 24

Answer:

A. 4

Step-by-step explanation:

The diagonals are also congruent to each other. Diagonals of a square bisect each other. This implies that:

MO bisects LN, thereby dividing LN into two equal segments, LG and GN.

Thus, LG = GN.

Since the length of LG = 4, therefore:

GN = 4

Answer:

[tex]E = 0.0158[/tex]

Step-by-step explanation:

Given

[tex]n = 5900[/tex]

[tex]x = 1770[/tex]

[tex]CI = 99\%[/tex]

Required

The margin of error (E)

First, calculate proportion p

[tex]p = x/n[/tex]

[tex]p = 1770/5900[/tex]

[tex]p = 0.3[/tex]

Given that:

[tex]CI = 99\%[/tex]

Calculate the alpha leve;

[tex]\alpha = 1 - CI[/tex]

[tex]\alpha = 1- 0.99[/tex]

[tex]\alpha= 0.01[/tex]

Divide by 2

[tex]\alpha/2= 0.01/2[/tex]

Subtract from 1

[tex]1 - \alpha/2= 1 - 0.01/2[/tex]

[tex]1 - \alpha/2= 0.995[/tex]

The corresponding z value is:

[tex]z =2.576[/tex]

So, the margin of error is:

[tex]E = z * \sqrt{p * (1 - p)/n}[/tex]

So, we have:

[tex]E = 2.576 * \sqrt{0.3 * (1 - 0.3)/5600}[/tex]

Using a calculator, we have:

[tex]E = 0.01577471394[/tex]

Approximate

[tex]E = 0.0158[/tex]

Answer:

1 and 1/25

Step-by-step explanation:

Respuesta:

a = 8

Explicación paso a paso:

Para obtener el valor de a en la ecuación:

40 / a = 35/7

Cruzamos multiplicamos:

40 / a = 35/7

40 * 7 = 35 * a

280 = 35a

Dividir ambos lados por 35

280/35 = 35a / 35

8 = a

a = 8

Answer:

C. 395.1

Step-by-step explanation:

Substitute the value for x:

[tex]V=0.95(8)^{2.9}\\V=395.1[/tex]

Answer:

3

Step-by-step explanation:

chain by chain

parllel

series

Answer:

$147

Step-by-step explanation:

0.15x = $22.05

Divide both sides by 15

22.05/0.15 = $147

Answer:

For octagon =1080.......

Explanation:

180(8-2)

180×6

1080°