In right triangle ABC, 2B is a right angle, AB = 48 units, BC = 55 units, and AC = 73 units.
literally please help me

In Right Triangle ABC, 2B Is A Right Angle, AB = 48 Units, BC = 55 Units, And AC = 73 Units.literally

Answers

Answer 1

Answer:

  73/55

Step-by-step explanation:

The cosecant (csc) is one of the reciprocal functions:

  csc(θ) = 1/sin(θ)

  sec(θ) = 1/cos(θ)

  cot(θ) = 1/tan(θ)

So, if we can find the sine, we can find the cosecant.

__

The mnemonic SOH CAH TOA reminds you that the sine is ...

  Sin = Opposite/Hypotenuse

The above tells you that ...

  Csc = 1/Sin = Hypotenuse/Opposite

The hypotenuse of your triangle is AC = 73. The side opposite angle θ is BC = 55. So, the ratio you want is ...

  csc(θ) = 73/55

Answer 2

Answer:

[tex]csc (\theta)=\frac{33}{55}[/tex]

Step-by-step explanation:

Hello!

1) The cosecant function is the inverse the sine function. So we can write:

[tex]csc(\theta)=\frac{1}{sin(\theta)}[/tex]

2) The sine function is the side opposite angle to [tex]\angle \theta[/tex] over the hypotenuse:

[tex]sin(\theta)=\frac{55}{33}[/tex]

3) So, remembering operations with fractions then the cosecant is:

[tex]csc \theta = \frac{1}{\frac{55}{33} } =1 \times \frac{33}{55}[/tex]

[tex]csc (\theta)=\frac{33}{55}[/tex]


Related Questions

write the reciprocol of following: a)11/9 b)5 1/8

Answers

Answer:

ans1 9/11

ans2 8/52

it is because the reciprocol means the opposite of the the give value

Answer:

a.[tex] \frac{9}{11} [/tex]b. [tex] \frac{8}{41} [/tex]

Step-by-step explanation:

a.

[tex] \frac{11}{9} [/tex]

Just flip the fraction, you will get:

[tex] \frac{9}{11} [/tex]

b.

[tex]5 \frac{1}{8} [/tex]

The first thing you have to do is that convert the mixed fraction into improper fraction.

To convert mixed fraction into improper fraction, you have to rewrite the denominator which is 8 , Thenafter you have to multiply 5 and 8 and then add 1

It would be:

[tex] \frac{5 \times 8 + 1}{8} [/tex]

[tex] = \frac{40 + 1}{8} [/tex]

[tex] = \frac{41}{8} [/tex]

Now , you have to flip it in order to get reciprocal:

[tex] = \frac{8}{41} [/tex]

Consider this quote: "In a recent survey, 65 out of 100 consumers reported that they preferred plastic bags instead of paper bags for their groceries. If there is no difference in the proportions who prefer each type in the population, the chance of such extreme results in a sample of this size is about .03. Because .03 is less than .05, we can conclude that there is a statistically significant difference in preference." Give a numerical value for each of the following.

a. The p-value.
b. The level of significance, α.
c. The sample proportion.
d. The sample size.
e. The null value.

Answers

Answer:

Step-by-step explanation:

The p value (probability of obtaining results as extreme the z score if null is true) is usually the value derived to make a conclusion and in this case the p value is 0.03

The level of significance is the value usually compared with the p value which is 0.05

The sample promotion is 65 out of 100 = 65/100 = 0.65

The sample size is the total number of consumers which is 100

The null value is usually the default value. The null value would assume that there is no difference in the proportions who prefer each type in the population. There are two preferences: 100/2 = 50- 0.5 for each preference.

An article contained the following observations on degree of polymerization for paper specimens for which viscosity times concentration fell in a certain middle range:

418 421 422 422 425 429 431 434 437
439 446 447 449 452 457 461 465

Calculate a two-sided 95% confidence interval for true average degree of polymerization.

Answers

Answer:

The 95% confidence interval for true average degree of polymerization is (431, 446).

Step-by-step explanation:

The data provided for the degree of polymerization for paper specimens for which viscosity times concentration fell in a certain middle range is:

S = {418, 421, 422, 422, 425, 429, 431, 434, 437,  439, 446, 447, 449, 452, 457, 461, 465}

Compute the sample mean and sample standard deviation:

[tex]\bar x=\frac{1}{n}\sum X=\frac{1}{7}\times 7455=438.5294\\\\s=\sqrt{\frac{1}{n-1}\sum (X-\bar x)^{2}}=\sqrt{\frac{1}{17-1}\times 3594.2353}=14.988[/tex]

As the population standard deviation is not provided use the t-statistic to compute the two-sided 95% confidence interval for true average degree of polymerization.

[tex]CI=\bar x\pm t_{\alpha/2, (n-1)}\cdot\frac{s}{\sqrt{n}}[/tex]

The critical value of the t is:

[tex]t_{\alpha /2, (n-1)}=t_{0.05/2, (17-1)}=t_{0.025, 16}=2.12[/tex]

*Use a t-table.

Compute the 95% confidence interval for true average as follows:

[tex]CI=438.5294\pm 2.12\cdot\frac{14.988}{\sqrt{17}}[/tex]

     [tex]=438.5294\pm 7.7065\\=(430.8229, 446.2359)\\\approx (431, 446)[/tex]

Thus, the 95% confidence interval for true average degree of polymerization is (431, 446).

What is the y-intercept of the logistic growth model y = c ÷ (1 + ae^-rx)? Show the steps for calculation. What does this point tell us about the population?

Answers

Answer:

The answer is "[tex]y=\frac{c}{1+a}[/tex]".

Step-by-step explanation:

Given:

[tex]\bold{y=\frac{c}{1+ae^{-rx}}}[/tex]

For the y-intercept, the value x is =0

[tex]y=\frac{c}{1+ae^{-r \times 0}}[/tex]

[tex]y=\frac{c}{1+ae^{0}}[/tex]

[tex]\therefore e^0 = 1[/tex]

[tex]y=\frac{c}{1+a\times 1}}[/tex]

[tex]\boxed{y=\frac{c}{1+a}}[/tex]

A pool that is 2.9 m tall cast a shadow that is 1.76 m long. At the Same time, a nearby building casts a shadow that is 38.25m long how tall is the building? round your answer to the nearest meter

Answers

Answer:

63m

Step-by-step explanation:

A pool that is 2.9m tall cast a shadow that is 1.76m

At the same time, a nearby building casts a shadow that is 38.25m long.

We are to find the height of the building.

If an object of length 2.9m cast an image of 1.76m ,

Then an image of 38.25m willl be cast by an object of what length?

Cross multiplying this gives:

[tex]\frac{38.25 * 2.9}{1.76}[/tex]  = 63.02556818  = 63m (rounded up to nearest meter)

Write as an algebraic expression and simplify if possible:
A number that is 20% greater than b

Answers

Answer:

  1.2b

Step-by-step explanation:

When we say, "a number that is 20% greater than b," we're talking about a number that is ...

  b + 20%×b

  = b + 0.20b

  = b(1 + 0.20)

  = 1.2b

Identify the factors of x2 − 4x − 12.

(x + 4)(x − 3)
(x − 4)(x + 3)
(x − 2)(x + 6)
(x + 2)(x − 6)

Answers

Answer: (x+2)(x-6)

Explanation:
(x+2)(x-6) = x^2 - 6x + 2x - 12 = x^2 - 4x - 12

Answer:

(x + 2)(x - 6)

Step-by-step explanation:

We are given the equation: x² - 4x - 12. Let's factor this.

First, look at the integer factor pairs of -12:

-1, 12

-2, 6

-3, 4

1, -12

2, -6

3, -4

We would like to find a pair whose sum is -4. Inspecting each pair, we realise that only the pair 2, -6 works because 2 + (-6) = -4.

Thus, our factors are:

x + 2    (from the 2)

x - 6     (from the -6)

The factored form of our given quadratic is:

(x + 2)(x - 6)

~ an aesthetics lover

HELP ME PLS! ASAP I NEED IT WILL FULL PROCESS!!
Write each equation in slope-intercept form (if not in that form). Determine the slope and identify the value where the y-axis intersects. Use these two values ​​to graph the linear equation.
1. y= -x+2
2. 5x+15y=30
3. -50x+20y=40
4. f(x)=-2x+1
5. h(x) = -3/4x+2

Answers

Answer:

1. slope = -x, Y-intercept = 2

2. slope = -1/3,Y-intercept = 2

3. slope = 5/2, Y-intercept = 2

4. slope = -2, Y-intercept = 1

5. slope = -3/4, Y-intercept = 2

Step-by-step explanation:

To find the slope and y-intercept you have to solve the equation. You only have to solve for 2 and 3. 1, 4, and 5 already have the equations solved. For questions 1, 4, and 5 the first number is the slope and the second number is the y-intercept. For questions 2 and 5 you have to solve the equations. You have to bring the y to the right side of the equation. to do that you subtract the y. Then you have to bring the number that was already on the right side of the equation to the left side. To do this you also have to subtract that number to bring it to the other side. Now you have to get the y by its self, and to do this you divide the equation. You divide both sides of the equation. Then you can get the slope and y-intercept.

In 2015, the CDC analyzed whether American adults were eating enough fruits and vegetables. Let the mean cups of vegetables adults eat in a day be μ. If the CDC wanted to know if adults were eating, on average, more than the recommended 2 cups of vegetables a day, what are the null and alternative hypothesis? Select the correct answer below: H0: μ=2; Ha: μ>2 H0: μ>2; Ha: μ=2 H0: μ=2; Ha: μ<2 H0: μ=2; Ha: μ≠2

Answers

Answer:

H0: μ=2; Ha: μ>2

Step-by-step explanation:

The null hypothesis is the default hypothesis while the alternative hypothesis is the opposite of the null and is always tested against the null hypothesis.

In this case study, the null hypothesis is that adults were eating, on average, the recommended 2 cups of vegetables a day: H0: μ=2 while the alternative hypothesis is adults were eating, on average, more than the recommended 2 cups of vegetables a day Ha: μ>2.

What is the slope of the line x = 4?

Answers

Answer:

slope is undefined

Step-by-step explanation:

x = 4 is the equation of a vertical line parallel to the y- axis.

The slope of a vertical line is undefined

Answer:

Undefined

Step-by-step explanation:

If the line is strait up like x = 4 that means it is undefined.

The difference between seven times a number and 9 is equal to three times the sum of the number and 2. Find the number
If x represents the number, which equation is correct for solving this problem?

The difference between seven times a number and 9 is equal to three times the sum of the number and 2. Find the number
If x represents the number, which equation is correct for solving this problem?​

Answers

Answer:

Number:3.75

Equation:7 x-9=3(x+2)

Step-by-step explanation:

Let the number be x.

According to the question,

7 x-9=3(x+2)

7 x-9= 3 x+ 6

7 x- 3 x= 9+6

4 x= 15

x=15/4

x=3.75

If you verify the answer you will get,

11.25=11.25

Thank you!

HELPPPPPP !!!!!!!!!!!!
! 25 ~! points

Answers

The correct answer is 76

Step by step

Is

Below

a patient is to receive 1500ml over 8 hours. What is the rate in ml per hour?

Answers

Answer

187.5 ml/hr

Step-by-step explanation:

1500ml/8hrs=187.5ml/hr

Solving exponential functions

Answers

Answer:

None of these choices are correct

Step-by-step explanation:

Law of exponents

3^(x+5) = 9^(-1)

3^(x+5) = (3²)^(-1)

3^(x+5) = 3^(-2)

Same base, same power or exponents

x+5 = -2

x = -2 -5

x = -7

G(x) = 5x + 3
Find G(2b)

Answers

Answer:

G(2b) = 10b + 3

Step-by-step explanation:

To find G(2b), simply plug in 2b wherever there is an x in G(x).

G(x) = 5x + 3

G(2b) = 5(2b) + 3

G(2b) = 10b + 3

Answer:

3 + 10b maybe?

Step-by-step explanation:

If x-2y=10 and y is three times the value of x, What is the value of x-y? a) -8 b) -4 c) 0 d) 2 e)4

Answers

Answer:

a) 4

Step-by-step explanation:

y = 3x

Plug it in: x - 2 (3x) = 10 --> x - 6x = 10 --> -5x = 10 --> x =  -2

Therefore: y = 3(-2) --> y = -6

x - y = -2 - (-6) = 4

3x = y

x - 2(3x) = 10
x- 6x = 10
-5x = 10
x = -2

3x = y
3(-2) = y
y = -6

Therefore x is -2 and y is -6.

Find the volume of the solid that is generated when the given region is revolved as described. The region bounded by ​f(x)equalse Superscript negative x​, xequalsln 16​, and the coordinate axes is revolved around the​ y-axis.

Answers

Answer:

The answer is "[tex]= \frac{\pi}{8}(15-41n^2 )\\[/tex]".

Step-by-step explanation:

The radius = x

the value of height is= [tex]e^{-x}[/tex]

The Formula for  the volume by the shell method:

[tex]\bold{V= \int\limits^b_a {(2\pi\ rad)(height)} \, dx }[/tex]

   [tex]= 2\pi \int\limits^{In 16}_0 {xe^{-x}} \, dx\\\\\\= 2\pi {(e^{-x}[-x-1])}_{0}^{In 16}\\\\ = 2\pi {(\frac{1}{16} \times (15-41n^2 ))}\\\\ = \frac{\pi}{8}(15-41n^2 )\\[/tex]

pls pls help i will mark brainliest to whoever can answer it for me.

Answers

Answer:

The lateral surface is 120  [tex]in^2[/tex], which agrees with the third answer option of the list.

Step-by-step explanation:

Notice that the prism has 5 equal lateral faces, which are all rectangles of eight 6". The width of the prisms can be obtained by using the fact that the perimeter of the pentagon is 20", which gives a side length of 20/5 = 4 " which is the same as the with of the lateral rectangles.

Then the lateral area of the prism is:

Lateral area= 5 (6" x 4") = 5 (24) =  120 [tex]in^2[/tex]

A random sample of 144 observations produced a sample proportion of 0.4. An approximate 90% confidence interval for the population proportion p is between:_______
a) 0.320 and 0.480
b) 0.333 and 0.480
c) 0.333 and 0.467
d) 0.359 and 0.441
e) 0.313 and 0.487

Answers

Answer:

CI =(0.333, 0.480)

Step-by-step explanation:

The formula for calculating the confidence interval is expressed as shown;

CI = p±Z * √p(1-p)/n±0.5/n

Z is the z-score at 90% confidence

p is the sample proportion

n is the sample size

Given n = 144, p = 0.4 and z-score at 90%  CI = 1.645 (from z table)

Substituting this values;

CI = p ± 1.645*√0.4(1-0.4)/144 ±0.5/n

CI = 0.4 ± 1.645*√0.4(0.6)/144 ± 0.5/144

CI = 0.4 ±1.645 * √0.24/144 ± 0.00347

CI = 0.4 ±1.645 * 0.04087± 0.00347

CI = 0.4±0.06723±0.00347

CI =(0.333, 0.480)

Using the information above regarding the proportion of agenda-less meetings, choose the correct conclusion for this hypothesis test.

H0:p=0.45 ; Ha:p>0.45
The p-value for this hypothesis test is 0.025.
The level of significance is α=0.05
Select the correct answer below:


There is sufficient evidence to conclude that the proportion of agenda-less meetings is greater than 45%.


There is NOT sufficient evidence to conclude that the proportion of agenda-less meetings isgreater than 45%.


There is sufficient evidence to conclude that the proportion of agenda-less meetings is greater than 55%.


There is NOT sufficient evidence to conclude that the proportion of agenda-less meetings is greater than 55%.

Answers

Answer: There is sufficient evidence to conclude that the proportion of agenda-less meetings is greater than 45%.

Step-by-step explanation:

Given: [tex]H_0:p=0.45 \\ H_a:p>0.45[/tex]

The p-value for this hypothesis test is 0.025.

The level of significance is α=0.05

As p-value< α  ∵0.025< 0.05

[if p-value< α , we reject [tex]H_0[/tex]]

then, we reject the null hypothesis.

i.e. We have sufficient evidence to support the alternative hypothesis.

Hence, the correct statement is : There is sufficient evidence to conclude that the proportion of agenda-less meetings is greater than 45%.

PLZ HELPpppP! A lawn is in the shape of a trapezoid with a height of 50 feet and bases of 70 feet and 130 feet. How many bags of fertilizer must be purchased to cover the lawn if each bag covers 3000 square​ feet? Remember that only whole bags of fertilizer can be purchased. [tex](A=\frac{1}{2}h(B+b))[/tex]

Answers

Hi,

Lawn area:

[tex]A=\frac{base_{1} +base_{2} }{2} *h\\\\A=(base_{1} +base_{2} ) *h *\frac{1}{2} \\\\A=(70ft + 130ft) * 50ft *\frac{1}{2} \\\\A=5000ft^{2}[/tex]

how many bags of fertilizer we need?

each bag covers 3000 ft²

[tex]N_{number of bags} = 5000ft^{2} / 3000ft^{2} \\\\N_{number of bags} = 1.6[/tex]

We need to purchase two bags fertilizer, but will use one and a half of them.

Have a good day.

j/2 +7=-12 solve for j

Answers

Answer:

j/2+7= -12

(j+14)/2= -12

cross-multiply

j+14= -24

j= -38

Answer:

[tex]\boxed{j=-38}[/tex]

Step-by-step explanation:

[tex]\frac{j}{2} +7=-12[/tex]

Subtract 7 on both sides.

[tex]\frac{j}{2} +7-7=-12-7[/tex]

[tex]\frac{j}{2}=-19[/tex]

Multiply both sides by 2.

[tex]\frac{j}{2}(2)=-19(2)[/tex]

[tex]j=-38[/tex]

Square root of one million

Answers

Answer:

The square root of one million is 1000 because 1000 x 1000 = 1,000,000

the square root of 1 million is 1000

1000 squared is equal to 1 million.

Tanya's car will go 45 meters on 7 gallons. Tanya wants to know how fuel efficient the car is. Please help by computing the ratio. (round to 2 decimal places)

Answers

Answer:

5 meters : 1 gallon

fuel efficiency of Car is 7 meters per gallons

Step-by-step explanation:

Given Tanya car goes 45 meters on 7 gallons.

In terms of ratio  of distance traveled and fuel consumed

45 meters : 7 gallons

since both 45 and 7 are multiple of 7 dividing both side by 7

45/7 meters : 7/7 gallons

5 meters : 1 gallon

Thus, fuel efficiency of Car is 7 meters per gallons.

Cell phone bills for residents of have a mean of $47/line with a standard deviation of $9/line. Find the probability that the average cost/line for the Math

Answers

Dive 9 by 47 to reach ur medium I believe 28

If one termite can destroy 1.2mg of wood per day, how many kilograms of wood can 10 termites destroy in 1 week? *Can someone please explain how to do this*

Answers

Answer:

10 termites will destroy 0.000084kg of wood per week

Step-by-step explanation:

Convert milligram to kilogram

1.2mg=(1.2 / 1,000,000)kg

1.2mg=0.0000012kg

1 termite destroys=0.0000012kg per day

10 termites will destroy (per day) =0.0000012×10 termites per day

10 termites in one day will destroy=0.000012kg

There are 7 days in a week

Therefore,

10 termites will destroy=destruction per day × 7 days

=0.000012×7

=0.000084kg per week

CNNBC recently reported that the mean annual cost of auto insurance is 1048 dollars. Assume the standard deviation is 282 dollars. You take a simple random sample of 55 auto insurance policies. Find the probability that a sample of size n =55 is randomly selected with a mean less than 997 dollars.

Answers

Answer: 0.0899.

Step-by-step explanation:

Given: CNNBC recently reported that the mean annual cost of auto insurance is 1048 dollars, the standard deviation is 282 dollars.

Sample size : n= 55

Let [tex]\overline{X}[/tex] be the sample mean.

The probability that a sample of size n =55 is randomly selected with a mean less than 997 dollars:

[tex]P(\overline{X}<997)=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}<\dfrac{997-1048}{\dfrac{282}{\sqrt{55}}})[/tex]

[tex]=P(Z<-1.3412)\ \ \ [Z=\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\=1-P(Z<1.3412)\\\\=1-0.9101\ \ \ \ [\text{By z-table}]\\\\ =0.0899[/tex]

Hence, the required probability = 0.0899 .

helppppppppp pleaseeeeeee

Answers

Answer:

Going from up to down

Box #1=0

Box #2=3

Box #3=5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Going from up to down

Box #1=0

Box #2=3

Box #3=5

Paul is saving for a down payment to buy a house. The account earns 13% interest compound quarterly, and he wants to have $15,000 in 4 years. What must his principal be? Round your answer to the nearest cent. Do not round at any point in solving process; only round your answer. Please help ASAP!! Thank you so much!

Answers

Answer:

The principal must be = $8991.88

Step-by-step explanation:

Formula for compound interest is:

[tex]A = P(1 + \frac{r}{n})^{nt}[/tex]

Where A is the amount after 't' years.

P is the principal amount

n is the number of times interest is compounded each year.

r is the rate of interest.

Here, we are given that:

Amount, A = $15000

Rate of interest = 13 % compounded quarterly i.e. 4 times every year

Number of times, interest is compounded each year, n = 4

Time, t = 4 years.

To find, Principal P = ?

Putting all the given values in the formula to find P.

[tex]15000 = P(1 + \frac{13}{400})^{4\times 4}\\\Rightarrow 15000 = P(1 + 0.0325)^{16}\\\Rightarrow 15000 = P(1.0325)^{16} \\\Rightarrow 15000 = P \times 1.66817253\\\Rightarrow P = \dfrac{15000}{1.66817253}\\\Rightarrow P \approx \$8991.88[/tex]

So, the principal must be = $8991.88

The principal required is $ 8993.

Using the formula;

A = P(1 + r/n)^nt

Where;

P = principal = ?

r = rate = 0.13

n = Number of times the interest is compounded = 4

t = time = 4years

Amount = $15,000

15,000 = P(1 +  0.13/4)^4(4)

15,000 = P(1.668)

P = 15,000/1.668

P =$ 8993

Learn more: https://brainly.com/question/7558603

pls guys help me pls :c​

Answers

Answer: A. [tex]x\geq21\dfrac{2}{3}[/tex] .

Step-by-step explanation:

The given inequation: [tex]81-1\dfrac{1}{5}x\leq55[/tex]

[tex]\Rightarrow\ 81-\dfrac{6}{5}x\leq55[/tex]

Multiplying 5 on both the sides, we get

[tex]5(81-\dfrac{6}{5}x)\leq5\times55\\\\\Rightarrow\ 405-6x\leq275\\\\\Rightarrow\ 6x\geq405-275\\\\\Rightarrow\ 6x\geq130\\\\\Rightarrow\ x\geq\dfrac{130}{6}\\\\\Rightarrow\ x\geq\dfrac{65}{3}\\\\\Rightarrow\ x\geq21\dfrac{2}{3}[/tex]

Hence, the inequality for x is [tex]x\geq21\dfrac{2}{3}[/tex] .

So, the correct option is A. [tex]x\geq21\dfrac{2}{3}[/tex] ..

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