consider a triangle ABC. Suppose that a=16, b=30, and c=35. Solve the triangle. Carry your intermediate computations to at least four decimal places and round your answers to the nearest tenth

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the right trianglea are not given. The general explanation is as follows.

Using Pythagoras Theorem, we have:

a² = b² + c²

Where:

a => hypotenuse

Assume that the opposite and the adjacent sides are given as 3 and 4, respectively.

The hypotension becomes

a² = 3² + 4²

a² = 9 + 16.

a² = 25

Take square roots.

a = 5

If any of the other side lengths is missing; you make that side the subject and then solve.

Answer:

(a) average calls = 5  

(b) probability that there is exactly one call in 6 consecutive monts = 0.038

Step-by-step explanation:

Let event of a customer requiring help in a particular month = H

and event of a customer not requiring help in a particular month = ~H

Given

p= 0.01,  therefore

Number of households, n = 500.

Binomial distribution:

x = number of households requiring help in a particular month

P(x,n,p) = C(x,n)*p^x*(1-p)^(n-x)

where

C(x,n) = n!/(x!(n-x)!) is the the number of combinations of x objects out of n

(a) Average number of households requiring help = np = 500*0.01 = 5

(b)

Probability that there are no calls requiring help in a particular month

P(0), q= C(0,n)*p^0(1-p)^(n-0)

= 1*1*0.99^500

= 0.006570483

Applying binomial probability over six months,

q = 0.006570483

n = 6

x = 1

P(x,n,q)

= C(x,n)*q^x*(1-q)^(n-x)

= 6!/(1!*5!) * 0.006570483^1 * (1-0.006570483)^5

= 0.038145

Therefore the probability that in 6 consecutive months there is exactly one month that no customer has called for help = 0.038

We are given the system of equations -:

[tex] \large{ \begin{cases} 2x + 3y = - 14 \\ y = 6x + 22 \end{cases}}[/tex]

Since the second equation is y-isolated equation. It can be substituted as y = 6x+22 in the first equation.

[tex] \large{2x + 3(6x + 22) = - 14}[/tex]

Expand 3 in the expression so we can combine like terms and isolate x-variable.

[tex] \large{2x + 18x + 66 = - 14}[/tex]

Then combine like terms.

[tex] \large{20x + 66 = - 14}[/tex]

Get rid of 66 from the left side by subtracting both sides by itself.

[tex] \large{20x + 66 - 66 = - 14 - 66} \\ \large{20x = - 80}[/tex]

To finally isolate the variable, divide both sides by 20 so we can leave x only on the left side.

[tex] \large{ \frac{20x}{20} = \frac{ - 80}{20} }[/tex]

Simplify to the simplest form.

[tex] \large{x = - 4}[/tex]

Normally, we have to find the y-value too but since we only find x-value. The answer is x = -4.

Answer

I hope this helps! If you have any questions or doubts regarding my answer, explanation or system of equations, feel free to ask!

Answer:

A. x = -2

C. x = -4

Step-by-step explanation:

y = 6x + 22

2x + 3•(6x+22) = -14

20x = - 80

x = -4

y = 6x+22

y = 6(-4)+22 = -2

Answer:

A.2b2(x2-x-3)

B.x2+2x+2x+4

=x(x+2)+2(x+2)

=(x+2)(x+2)

C.x2-2^2

=(x+2)(x+2)

Answer:

58.3

Step-by-step explanation:

divide 700 by 12

Answer:

$50

Step-by-step explanation:

The equation for this is:

700 = 12m + 100, where $700 is the total cost, m is the monthly fee, 12 is the number of months in a year, and $100 is the starting fee

Solve the equation:

700 = 12m + 100

12m = 600

m = 50

Answer:

a. there could be a problem of high error

b. randomized block design can remove the issue of heterogeneity

c. yes they should

d, yes it could

Step-by-step explanation:

a. if their is a lack of homogeneity among the sample population, then the results that would be obtained are going to be with increased experimental error.

b. given the number of treatment, the randomized block design technique can be done. This would then remove the issue of heterogeneity. It also gives more information and the results from the test are easier. Even in the presence of missing data, the missing plot technique can be employed.

c. when a control group is used, it makes easier the examination of the market research in a more effective way.

d. Yes it could be a double blind one. This would help to take away the problem of bias.

Answer:

Step-by-step explanation:

Split it into two:

Y<3x

Y<5

X = 1

Y = 3

(1,3)

X = 2

Y = 6

(2, 6)

Plot the line up to y = 4.999999999999999999999 and not higher.

Answer:

Plot the line up to y = 4.999999999999999999999 and not higher

Answer:

DC = 2

Step-by-step explanation:

The wrong equation was used.

The right equation to use based on the midsegment theorem of a trapezoid is:

MN = ½(AB + DC)

MN = 8

AB = 14

Substitute

8 = ½(14 + DC)

Multiply both sides by 2

8*2 = ½(14 + DC)*2

2*8 = 14 + DC

16 = 14 + DC

16 - 14 = 14 + DC - 14

2 = DC

DC = 2

Answer:

a = 3 and b = 4

Step-by-step explanation:

5a + 4b = 31 --(1)

5a + 6b = 39 --(2)

(2) - (1) : 2b = 8

               b = 4 -- (3)

Substituting (3) into (1),

5a + 16 = 31

5a = 15

a = 3 -- (4)

Therefore, a = 3 and b = 4

If this helps you please mark brainliest!

Have a nie day!

Answer:

6x+4 ft

40 ft

Step-by-step explanation:

The perimeter of a rectangle is

P = 2(l+w)

  = 2( x+5 + 2x-3)

Combine like terms

  = 2(3x+2)

 Distribute

  =6x+4

Let x= 6

 = 6*6+4

  = 36+4

  = 40

Answer:

63,5

Step-by-step explanation:

pi r bình pnhân  hươnh g

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]4.27\text{cm} \approx\boxed{4\text{cm}}[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

Recall the Rounding Rules:

⸻⸻⸻⸻

[tex]\underline{4.27cm}\\\\\rightarrow2\leq 4\\\\\boxed{4.27cm \approx 4cm}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Step-by-step explanation:

at first solve first triangle with Pythagorean solving witch it c²=a²+b²

you have to change a bit so it will be c²-b²=a²

you start with 8 and 10 triangle and then you get line which is in the middle and yo udo just the same with triangle 8 and the solved side and you get x in the second triangle you have to use c²-a²=b²

Answer:

Following are the solution to the given question:

Step-by-step explanation:

[tex]H_0:[/tex] Management quality and corporate reputation are independent.  

[tex]H_1:[/tex]  Management quality and corporate reputation are not independent.

Test statistic:

[tex]\to \chi^2 = \frac{\sum (O-E)^2}{E}[/tex]

[tex]= 0.71429 + 0.0102 +2.8809+0.625+1.75 +0.3333 +0+3.2143+7.5\\\\= 17.02806[/tex]

The critical [tex]\chi^2[/tex] for[tex]df = (r-1)(c-1) = (3-1)(3-1)= 4[/tex] and [tex]\alpha = 0.05[/tex] is [tex]\chi^2= 9.4877[/tex]

Test statistic:

[tex]17.02806 > 9.4877[/tex] therefore rejecting the null hypothesis [tex]H_0[/tex].

p-value[tex]= 0.001909[/tex]

Interpretation:

There is no internal governance quality as well as the reputation of the organization.

Answer:

The bulding is 381,623 meters high.

Step-by-step explanation:

To dertermine the height of the bulding I would use tanα = rectangulair side / closest rectangulair side.

19,08 = the height/ 20m.

<=> 19,08.20m= the height = 381,623 m

Answer:

C) 5040

Step-by-step explanation:

[tex]7!=7*6*5*4*3*2*1=5040[/tex]

Answer:

5040

Step-by-step explanation:

! means take multiply that number and all the number down to 1

7! = 7*6*5*4*3*2*1

   =5040

Step-by-step explanation:

everything can be found in the picture

Answer:

Amount of food need for 30 days = 14.4 kilogram

Step-by-step explanation:

Given information:

Amount of food dog eat each day = 0.48 kilogram

Find:

Amount of food need for 30 days

Computation:

⇔ Amount of food need for 30 days = Amount of food dog eat each day x number of days

⇔ Amount of food need for 30 days = 0.48 x 30

Amount of food need for 30 days = 14.4 kilogram

14.4 kilogram is right answer.

The little lines theu each section are telling you all those sections are identical, which mean they are the same length.

You are told one section is 10, which means x is also 10

X = 10

Answer:

49.87

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Suppose the mean percentage in Algebra 2B is 70% and the standard deviation is 8%.

This means that [tex]\mu = 70, \sigma = 8[/tex]

What percentage of students receive between a 70% and 94%

The proportion is the p-value of Z when X = 94 subtracted by the p-value of Z when X = 70. So

X = 94

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{94 - 70}{8}[/tex]

[tex]Z = 3[/tex]

[tex]Z = 3[/tex] has a p-value of 0.9987.

X = 70

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{70 - 70}{8}[/tex]

[tex]Z = 0[/tex]

[tex]Z = 0[/tex] has a p-value of 0.5.

0.9987 - 0.5 = 0.4987.

0.4987*100% = 49.87%.

So the percentage is 49.87%, and the answer, without the percent sign, is 49.87.

Answer:

10,000 different PINS are possible

Step-by-step explanation:

Fundamental counting principle:

States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.

In this question:

Four each digit on the PIN, there are 10 possible outcomes. The digits are independent. So, by the fundamental counting principle:

[tex]T = 10^4 = 10000[/tex]

10,000 different PINS are possible

Step-by-step explanation:

here are the matrices you were looking for

Answer:

A dilation by a factor of three about Point T followed by a translation of two units downwards.

Step-by-step explanation:

When transforming functions, we will reflect/dilate the figure first and then translate it. This is directly from the order of operations.

Since we are trying to determine the transformation that was performed, we can try to map ΔS'T'U' onto ΔSTU. We can start by translating the figure and then determining any reflections/dilations.

First, we can translate ΔS'T'U' up two units to map T' onto T. This is represented by the black triangle in the image below. Let the black triangle be ΔS''T''U''. (T'' and T are the same point.)

Next, notice that from Point T'' to U'', we move nine units right and six units up.

From Point T to Point U, we move three units right and two units up.

Likewise, from Point T'' to S'', we move six units left and nine units up.

From Point T to Point S, we move two units left and three units up.

Therefore, to map ΔS''T''U'' onto ΔSTU, we dilate ΔS''T''U'' about Point T by a factor of 1/3.

Hence, by reversing the transformations, to acquire ΔS'T'U', we can see that we will dilate ΔSTU by a factor of three about Point T and then a perform a translation of two units downwards.

Step-by-step explanation:

So one's chance of getting a number greater than 3 is 3 chances out of 6 numbers that could be rolled or 1/2. Then we determine what the chances are of getting an ODD number. That includes 1, 3, & 5. So one's chance of getting an odd number is 3 chances out of the 6 numbers on the die, which is also 1/2.

The relation between the functions f(x), g(x), and h(x) will be f(x)/g(x) is equal to h(x). Then the correct option is B.

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

The functions are given below.

f(x) = 3x³ + 9x² - 12x

g(x) = x - 1

h(x) = 3x² + 12x

The function f(x) can be written as

f(x) = 3x(x² + 3x - 4)

f(x) = 3x(x² + 4x - x - 4)

f(x) = 3x(x + 4)(x - 1)

f(x) = (x - 1)(3x² + 12)

Then divide the function f(x) by the function g(x), then we have

f(x) / g(x) = (x - 1)(3x² + 12) / (x - 1)

f(x) / g(x) = (3x² + 12)

f(x) / g(x) = h(x)

More about the function link is given below.

https://brainly.com/question/5245372

#SPJ2

Answer:

B

Step-by-step explanation:

edmentum

Answer:

You need to add the numbers up

0.4 +0.2+0.1=0.7

1-0.7=0.3

Ans=0.3

The inequalities that represent these constraints are x ≤ 500 + 2y and 35x + 50y > 22500²

An equation is an expression that shows the relationship between two or more numbers and variables.

Let x represent the number of product A and y represent the number of product B, hence:

x ≤ 500 + 2y        (1)

Also:

35x + 50y > 22500²    (2)

The inequalities that represent these constraints are x ≤ 500 + 2y and 35x + 50y > 22500²

Find out more on equation at: https://brainly.com/question/2972832

#SPJ2

Answer:

Step-by-step explanation:

[tex]\frac{2017^4 - 2016^4}{2017^2 + 2016^2}[/tex]

[tex]= \frac{(2017^2 - 2016^2)(2017^2 + 2016^2)}{2017^2 + 2016^2}[/tex]

[tex]= (2017^2 - 2016^2)[/tex]

[tex]= (2017 - 2016)(2017 + 2016)\\= 4033[/tex]

Answer:

So, to fill the tray completely , he needs 3 bags of sand.

Step-by-step explanation:

Tray dimensions,

length = 0.8 m

Width = 0.6 m

height = 0.1 m

Volume of one sand bag = 17000 cm^3

Let the volume of the tray is V.

V = length x idth x height

V = 0.8 x 0.6 x 0.1 = 0.048 m^3

Number of sand bags

[tex]n=\frac{0.048}{17000\times 10^{-6}}\\\\n = 2.82[/tex]

So, to fill the tray completely , he needs 3 bags of sand.