Using lengths a, b, and c in the right triangle shown, how are the trigonometric functions of defined?

9514 1404 393

Answer:

  16

Step-by-step explanation:

The equation of a line with slope m=1 through the point (h, k) = (-5, 7) will be ...

  y -k = m(x -h)

  y -7 = x +5

  y = x +12

Then for x = 4, the value of y is ...

  y = 4 +12 = 16

The point is (4, x) = (4, 16), so x = 16.

Answer:

16

Step-by-step explanation:

Given that the slope of the line is 1 . And it passes through the points (-5,7) and (4,x) .We know that slope is difference of ordinate by difference of abssica . So that ,

[tex]\implies Slope =\dfrac{y_2-y_1}{x_2-x_1}\\\\\implies 1 =\dfrac{ 7-x}{-5-4} \\\\\implies 1 \times -9 = 7-x \\\\\implies -9 -7 = -x \\\\\implies \underline{\underline{ x = 16 }}[/tex]

Hence the required answer is 16 .

Answer: The chippy brand

Step-by-step explanation: Since 3 bags for the crunchy goodness is 6.30 dollars, we don;t need to worry about that. SO, lets see how much money is 3 bags from the chippy brand.

2.30 x 3 = 6.90

Chippy: $6.90

Crunchy Goodness: $6.30

Now that we compared the Chip brans, its obvious that crunchy goodness is cheaper

Answer:

The crunchy goodness chips.

Step-by-step explanation:

If the crunchy goodness chips cost $6.30 for 3 bags and the chippy chips cost $2.30 for each bag, you do $2.30 times 3. That equals 6.90. So, $6.30 is less than $6.90 meaning that crunchy goodness chips have a lower price.

Answer:

see the attachment, answers there

Answer:

A. 0.56

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

In this question:

We want to find [tex]P(H \cap DH)[/tex].

We can relate the numbers using [tex]A = H, B = DH[/tex]. So

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

[tex]P(DH|H) = \frac{P(DH \cap H)}{P(H)}[/tex]

P(H) = 0.70 , P(DH/H) = 0.80

So

[tex]P(DH \cap H) = P(DH|H)*P(H) = 0.8*0.7 = 0.56[/tex]

The correct answer is given by option A.

Answer:

Exponential decay

Answer:

surfaces curving inward, so it makes parallel light rays curve outward or diverge. That's why concave lenses are sometimes called diverging lenses. ... The distance from the center of the lens to the focal point is, again, the focal length of the lens.

Step-by-step explanation:

Answer:

Please find attached pdf

Step-by-step explanation:

Step-by-step explanation:

P=(-3,-4)=(X1,Y1)

Q=(6,-7)=(X2,Y2)

Pq=root under( x2-x1)^2+(y2-y1)^2

= root under {6-(-3)}^2+{-7-(-4)}^2

= {6+3}^2+{-7+4}^2

= 9^2+(-3)^2

= 81+9

= 90

= 3root under10 unit.#

Answer:

the total tip should be $24.00

Answer:

C 18/30+5/30

Step-by-step explanation:

Fractions scare me but I try

First we need to find the sum of 3/5 and 1/6

To do that we turn the denominators into common denominators.

[tex] \frac{18}{30} + \frac{5}{30} [/tex]

then we just add

[tex] \frac{18}{30} + \frac{5}{30} = \frac{23}{30} [/tex]

hope this makes sense

Answer:

A) 30 in³

B) V=lwh (or) V+5x3x2

C) 3 times

Step-by-step explanation:

A) 30in³

B) V=LWH (or) V+5x3x2

C) V=[tex]\pi[/tex]r²h = [tex]\pi[/tex](2.6²)(4) = 84.94867

85.94867÷30= 2.83, so he’d need to fill the rectangular prism 3 times.

Answer:

a. 30 in³

b. V = whl

c. 3 times

Step-by-step explanation:

a. v = whl

V = (3 in)(2 in)(5 in)

V= 30 in³

b. V = whl

c. Volume of the cylinder = pi(r²)h            r = d/2 = 5.2 / 2 = 2.6

Vc = pi (2.6²)(4)

Vc ≈ 84.94 in³

84.94 in³/30 in³ ≈ 3 times

Answer:

a) 0.0498 = 4.98% probability that the number of pieces of junk mail you receive next week will be none at all.

b) 0.1680 = 16.80% probability that the number of pieces of junk mail you receive next week will be exactly four.

c) 0.4232 = 42.32% probability that the number of pieces of junk mail you receive next week will be no more than two.

d) 0.5768 = 57.68% probability that the number of pieces of junk mail you receive next week will be more than two.

Step-by-step explanation:

We have only the mean, which means that we use the Poisson distribution to solve this question.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

You find that you receive on average about 3 pieces of junk mail per week.

This means that [tex]\mu = 3[/tex]

(a) none at all.

This is P(X = 0).

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-3}*3^{0}}{(0)!} = 0.0498[/tex]

0.0498 = 4.98% probability that the number of pieces of junk mail you receive next week will be none at all.

(b) exactly four.

This is P(X = 4).

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 4) = \frac{e^{-3}*3^{4}}{(4)!} = 0.1680[/tex]

0.1680 = 16.80% probability that the number of pieces of junk mail you receive next week will be exactly four.

(c) no more than two.

This is:

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

[tex]P(X = 0) = \frac{e^{-3}*3^{0}}{(0)!} = 0.0498[/tex]

[tex]P(X = 1) = \frac{e^{-3}*3^{1}}{(1)!} = 0.1494[/tex]

[tex]P(X = 2) = \frac{e^{-3}*3^{2}}{(2)!} = 0.224[/tex]

[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0498 + 0.1494 + 0.224 = 0.4232[/tex]

0.4232 = 42.32% probability that the number of pieces of junk mail you receive next week will be no more than two.

(d) more than two

[tex]P(X > 2) = 1 - P(X \leq 2) = 1 - 0.4232 = 0.5768[/tex]

0.5768 = 57.68% probability that the number of pieces of junk mail you receive next week will be more than two.

Answer:

A right angle.

Step-by-step explanation:

Hope this helps! Have a great rest of your day!

Answer:

48

Explanation:

36÷75=

0.48

Answer:

multiply by any number to create a multiple

Step-by-step explanation:

4/5 = 8/10 = 12/15 = 16/20...

Answer:

2: 12.75

3: 13.0

4: 13.25

3: 13.5

0: 13.75

0: 14.0

Answer:

(-1,5)

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\sf 168\ in.\²}[/tex]

Step-by-step explanation:

Surface area of the base:

= Length * Length

= 6 * 6

= 36 in.²

Surface Area of 1 Lateral Face:

= [tex]\sf \frac{1}{2} (Base * Height)[/tex]

Base = 6 inches

Height = 11 inches

= 1/2 (6*11)

= 3 * 11

= 33 in.²

Surface Area of 4 lateral faces:

= 33 * 4

= 132 in.²

Surface Area of the whole pyramid:

= 132 + 36

= 168 in.²

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

SA = 168 in.²

Step-by-step explanation:

The surface area is the sum of the area of the base and the areas of the 4 congruent triangular sides.

s = side of the base

h = height of each side

SA = s² + 4(sh/2)

SA = (6 in.)² + 4(6 in.)(11 in.)/2

SA = 36 in.² + 132 in.²

SA = 168 in.²

Answer:

12.5m

Step-by-step explanation:

I don't wanna type it lmco (laughing my cheeks off)

Answer:

20%

Step-by-step explanation:

Answer:

The answer is 20/3

Step-by-step explanation:

(5 x 1 ) + ( 5 x 1/3)

5 + ( 5 × 1/3 )

5 + 5/3 = 20/3

Answer:

2/3

Step-by-step explanation:

1/2 = 3/6

6 - 5 = 1

1 3/6 - 5/6 = 4/6

4/6 = 2/3

Hope this helped! Have a nice day! Plz mark as brainliest!!!

-XxDeathshotxX

Answer:

Answer is -1.666

Step-by-step explanation:

6*1/2=3

5*5/6=4.1666

Answer:

The probability that exaclt x of the members are union members from the n interviewed is given by:

[tex]P(X = x) = C_{n,x}.(0.96)^{x}.(0.04)^{n-x}[/tex]

Step-by-step explanation:

For each worker, there are only two possible outcomes. Either they are union members, or they are not. Members are independent of other members. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

About 96% of all workers employed by the university belong to the workers' union.

This means that [tex]p = 0.96[/tex]

What is the probability that exactly of the workers interviewed are union members

We want probability of x, from n workers interviewed. So

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = x) = C_{n,x}.(0.96)^{x}.(0.04)^{n-x}[/tex]

Answer: A. That order is taken into account​ (consider rearrangements of the same items to be different​ sequences).

Step-by-step explanation:

The combination is usually given by the formula below:

C n,x = n! / x! (n-x)!

We should note that the requirements for a combination rule include:

• That r of the n items are selected​ (without replacement).

• That there be n different items available.

• That order is not taken into account​ (consider rearrangements of the same items to be the​ same).

Therefore, the option that is not a requirement of the Combinations​ Rule, ​, for the items that are all​ different will then be option A"That order is taken into account​ (consider rearrangements of the same items to be different​ sequences).

Answer:

It’s 56.7

Step-by-step explanation:

Fudisks

Answer:

3.12 kg.

Step-by-step explanation:

Mass after t years:

The mass of the elements after t years is given by the following equation:

[tex]M(t) = M(0)(1-r)^t[/tex]

In which M(0) is the initial mass and r is the decay rate, as a decimal.

The half life of Cs-137 is 30.2 years.

This means that:

[tex]M(30.2) = 0.5M(0)[/tex]

We use this to find r.

[tex]M(t) = M(0)(1-r)^t[/tex]

[tex]0.5 = M(0)(1-r)^{30.2}[/tex]

[tex](1-r)^{30.2} = 0.5[/tex]

[tex]\sqrt[30.2]{(1-r)^{30.2}} = \sqrt[30.2]{0.5}[/tex]

[tex]1 - r = 0.5^{\frac{1}{30.2}}[/tex]

[tex]1 - r = 0.9773[/tex]

So

[tex]M(t) = M(0)(0.9773)^{t}[/tex]

If the initial mass of the sample is 100kg, how much will remain after 151 years?

This is M(151), with M(0) = 100. So

[tex]M(t) = 100(0.9773)^{t}[/tex]

[tex]M(151) = 100(0.9773)^{151} = 3.12[/tex]

The answer is 3.12 kg.

Answer:

Solution given:

when

(-3,-2)

in equation;

7×-3-5×-2=28

-11≠28(not satisfied)

when

(-2,-3)

equation will be

7×-2+5×3=28

1≠28(not satisfied)

when

(0,4)

equation will be:

7×0-5×4=28

-20≠28

(not satisfied)

when

(4,0).equation will be

7×4-5×0=28

28=28(satisfied)

so

(4,0) is a required answer.

The representative samples are Players whose names are randomly selected from a hat and Every 5th player selected from an alphabetical roster of the team. (Option B and E).

A representative sample is a subset of a larger population that accurately reflects the characteristics, diversity, and distribution of the entire population. When conducting research or making decisions based on data, it is often impractical or impossible to collect information from every individual in the population. Instead, researchers or decision-makers select a representative sample to draw conclusions or make inferences about the entire population.

For a sample to be considered representative, it should be selected in a way that ensures each member of the population has an equal or proportional chance of being included. In the given problem, both options provide a fair chance for each team member to be included in the selection for the end-of-season celebration destination.

Learn more about representative sample here: https://brainly.com/question/30490266

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Answer:20 dollars.

not sure

Step-by-step explanation:

Answer:

=5/6

Step-by-step explanation:

happy to help ya :)