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Which trigonometric ratios are correct for triangle
ABC? Select three options.
Which trigonometric ratios are correct for triangle ABC? Select three - 1

Answers

Answer 1
Answer:

Answer:

Options (1), (3) and (4)

Step-by-step explanation:

From ΔABC given in the picture,

By Pythagoras theorem

Hypotenuse² = (Leg 1)² + (Leg 2)²

BC² = AB² + AC²

(18)² = 9² + AC²

AC = √(324-81)

AC = 9√(3) cm  

sin(C) = \frac{\text{Opposite side}}{\text{Hypotenuse}}

         = (AB)/(BC)

         = (9√(3))/(18)

sin(C) = (√(3) )/(2)

sin(B) = (AC)/(BC)

         = (9)/(18)

         = (1)/(2)

cos(B) = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

          = (9√(3))/(18)

          = (√(3) )/(2)

tan(B) = \frac{\text{Opposite side}}{\text{Adjacent side}}

          = (AC)/(AB)

          = (9)/(9√(3) )

          = (1)/(√(3) )

tan(C) = (AB)/(AC)

          = (9√(3))/(9)

          = √(3)

Therefore, Options (1), (3) and (4) are the correct options.
Answer 2
Answer:

Answer:

Options (1), (3) and (4)

Step-by-step explanation:

From ΔABC given in the picture,

By Pythagoras theorem

Hypotenuse² = (Leg 1)² + (Leg 2)²

BC² = AB² + AC²

(18)² = 9² + AC²

AC =

AC =  cm  

sin(C) =

        =

        =

sin(C) =

sin(B) =

        =

        =

cos(B) =

         =

         =

tan(B) =

         =

         =

         =

tan(C) =

         =

         =

Therefore, Options (1), (3) and (4) are the correct options.Step-by-step explanation:

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According to CNN business partner Careerbuilder, the average starting salary for accounting graduates in 2018 was at least $57,413. Suppose that the American Society for Certified Public Accountants planned to test this claim by randomly sampling 200 accountants who graduated in 2018. State the appropriate null and alternative hypotheses.

Answers

Answer:

Null hypothesis: The American Society for Certified Public Accountants says the average starting salary of accountants who graduated in 2018 is $57,413

Alternate hypothesis: The American Society for Certified Public Accountants says the average starting salary of accountants who graduated in 2018 is less than or equal to $57,413

Step-by-step explanation:

A null hypothesis is a statement from a population parameter that is subject to testing. It is expressed with equality.

An alternate hypothesis is also a statement from the population parameter that negates the null hypothesis. It is expressed with inequality

The machinist's goal was to increase his production by at least 10% each day. Assume he achieved his goal. If he was able to machine 25 items on Tuesday, how many would he machine on Wednesday?

Answers

Answer:

The number of machine produced on Wednesday is 27.5.

Step-by-step explanation:

It is given that the number of machines produced by machinist on Tuesday is 25.

The machinist's goal was to increase his production by at least 10% each day.  

Therefore the number of produced machines on Wednesdays is 1% more than the number of machines produced on Tuesday.

\text{10 \% of 25}=(10)/(100)* 25=2.5

The number of machine produced on Wednesday is,

25+2.5=27.5

Therefore the number of machine produced on Wednesday is 27.5.
25+10%= 27.5 Hope this helps.

Find the numerical value of the log expression HELP PLS

Answers

The value of \rm{log\ 10^(19) is 19.

Logarithm

A log function is a way to find how much a number must be raised in order to get the desired number.

a^c=b

can be written as

\rm{log_ab=c

where a is the base to which the power is to be raised,

b is the desired number that we want when power is to be raised,

c is the power that must be raised to a to get b.

For example, let's assume we need to raise the power for 10 to make it 1000 in this case log will help us to know that the power must be raised by 3.  

\rm{log\ 1000 = 3

Given to us

log a = 3,

log b = 4,

log c = -1,

Logarithm Values

log a = 3

10^3 = a\n1000 = a\na=1000

lob b = 4,

10^4=b\n10000=b\nb=10,000

log c = -1,

10^(-1) = c\n\n(1)/(10) = c\n\nc = 0.1

Simplifying

\rm{log(b^7)/(a^5c^6)\n

=\rm{log(10,000^7)/(1,000^5* 0.1^6)\n

=\rm{log 10^(19)

Hence, the value of \rm{log\ 10^(19) is 19.

Answer:

19

Step-by-step explanation:

Given:

(b^7)/(a^5c^6)

log a = 3,

log b = 4,

log c = -1

Required:

Numerical value of the log expression

SOLUTION:

To solve this, we need to recall the rules to apply in each step:

(b^7)/(a^5c^6)

Step 1: Apply log of quotients => i.e. log (a)/(b) = log(a) - log(b)

log(b^7) - (log(a^5c^6))

Step 2: Apply log of products. i.e. log ab = log a + log b.

log(b^7) - (log(a^5) + log(c^6))

Step 3: Apply log of exponents. i.e. log(a^n) = nlog(a).

7log(b) - (5log(a) + 6log(c))

Step 4: Substitute log a = 3, log b = 4, log c = -1, into the equation.

7(4) - (5(3) + 6(-1)).

28 - (15 - 6).

28 - 9.

= 19.

Hurry I am running out of time! I have 10 minutes.

Answers

What it doooooooooooooo

The spread of a disease can be modeled as n=200 Square root t, where n is the number of infected,and t is the time(in days). How long will take until the number of infected people reaches 1400

Answers

Answer:

49 days

Step-by-step explanation:

The spread of the disease is modeled as

n = 200 √(t)

where n = number of infected people

t = time (in days)

When the number of infected people is 1400, the number of days t will be:

1400 = 200√(t)\n \n1400 / 200 = √(t)\n\n7 = √(t)\n\n=> t = 7^2 = 49

It will take 49 days for the number of infected people to reach 1400.

Final answer:

Given the function n=200 Square root t where n is the number of infected, and t is time, it will take 49 days for the number of infected people to reach 1400.

Explanation:

To find out how long it will take until the number of infected people reaches 1400, we are going to set n = 1400 (number of infected people) in the given equation, and then solve for t (time in days).

So, 1400 = 200 √t. Dividing both sides by 200, we get √t = 7. Then, squaring both sides give us t = 49 days. So, it will take 49 days for the number of infected people to reach 1400.

Given the function n=200 Square root t where n is the number of infected, and t is time, it will take 49 days for the number of infected people to reach 1400.

Learn more about Function Solving here:

brainly.com/question/31400068

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Packer Concrete Company pours concrete slabs for single-family dwellings. Wolff Construction Company, which operates outside Packer’s normal sales territory, asks Packer to pour 40 slabs for Wolff’s new development of homes. Packer has the capacity to build 300 slabs and is presently working on 250 of them. Wolff is willing to pay only $2,750 per slab. Packer estimates the cost of a typical job to include unit-level materials, $1,200; unit-level labor, $600; and an allocated portion of facility-level overhead, $1,000.Required:
a. Calculate the contribution to profit from the special order.

Answers

Answer:

The contribution to profit from the special order us $38,000.

Step-by-step explanation:

Consider the provided information.

We need to calculate the contribution on to profit from the special order.

Wolff Construction Company, which operates outside Packer’s normal sales territory, asks Packer to pour 40 slabs for Wolff’s new development of homes. Packer has the capacity to build 300 slabs and is presently working on 250 of them. Wolff is willing to pay only $2,750 per slab.

Sale = 40 × $2,750 = $110,000

To find the profit subtract the materials and labor cost from sale amount.

     Particulars                                              Amount

Sale (40 × $2,750)                                     $110,000

Less: Variable expense

Unit level materials (40× $1,200)              $48,000

Unit level labor(40× $600)                        $24,000

Contribution margin                                   $38,000

The overhead cost will not be considered while determine the contribution to profit from accepting the order of 40 slab.

Hence, the contribution to profit from the special order us $38,000.
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