Can someone work please so I can understand how

Answers

Answer 1

Answer:

[tex]\text{A. }\frac{4\sqrt{14}}{{7}}[/tex]

Step-by-step explanation:

In any right triangle, the tangent of an angle is equal to its opposite side divided by its adjacent side. Therefore, we can form a right triangle with non-right angle [tex]\theta[/tex] and its opposite side [tex]\sqrt{7}[/tex] and its adjacent side [tex]5[/tex].

By definition, [tex]\csc \theta=\frac{1}{\sin\theta}[/tex].

In any right triangle, the sine of an angle is equal to its opposite side divided by the hypotenuse, or longest side, of the triangle. To find the hypotenuse, use the Pythagorean Theorem: [tex]a^2+b^2=c^2[/tex], where [tex]c[/tex] is the hypotenuse, or longest side, of the right triangle and [tex]a[/tex] and [tex]b[/tex] are the two legs of the triangle.

Solving, we get:

[tex]5^2+\sqrt{7}^2=c^2,\\25+7=c^2,\\c^2=32,\\c=\sqrt{32}=4\sqrt{2}[/tex]

Therefore, we have:

[tex]\csc \theta = \frac{1}{\sin \theta}=\frac{1}{\frac{\sqrt{7}}{4\sqrt{2}}},\\\\\csc \theta=1\cdot \frac{4\sqrt{2}}{\sqrt{7}},\\\\\csc \theta =\frac{4\sqrt{2}}{\sqrt{7}}\cdot \frac{\sqrt{7}}{\sqrt{7}}=\boxed{\text{A. }\frac{4\sqrt{14}}{{7}}}[/tex]

Answer 2

Answer: Choice A) [tex]\frac{4\sqrt{14}}{7}[/tex]

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

Explanation:

Refer to the figure below. We start off drawing a right triangle that has opposite side sqrt(7) and adjacent side 5.

This is because tan = opposite/adjacent.

Use the pythagorean theorem to find the hypotenuse is sqrt(32) which simplifies like so

sqrt(32) = sqrt(16*2) = sqrt(16)*sqrt(2) = 4*sqrt(2)

The last thing to do is to take the ratio of the hypotenuse over the opposite side. Recall that csc, aka cosecant, is the reciprocal of sine.

sin = opposite/hypotenuse

csc = hypotenuse/opposite

---------

So we get the following

[tex]\csc{\theta} = \frac{\text{hypotenuse}}{\text{opposite}}\\\\\csc{\theta} = \frac{4\sqrt{2}}{\sqrt{7}}\\\\\csc{\theta} = \frac{4\sqrt{2}*\sqrt{7}}{\sqrt{7}*\sqrt{7}}\\\\\csc{\theta} = \frac{4\sqrt{2*7}}{\sqrt{7*7}}\\\\\csc{\theta} = \frac{4\sqrt{14}}{\sqrt{49}}\\\\\csc{\theta} = \frac{4\sqrt{14}}{7}\\\\[/tex]

So that's why the answer is choice A.

Related Questions

some number was divided into 176.9. this quotient was then multiplied by 4 , after which the resulting product was added to 10.2 given this sum totalled -38.6, find the initial number

Answers

9514 1404 393

Answer:

-14.5

Step-by-step explanation:

Let the number be represented by x.

176.9/x . . . . the quotient of some number divided into 176.9

4(176.9/x) . . . . the quotient multiplied by 4

10.2 + 4(176.9/x) . . . . the product added to 10.2

And that totals -38.6:

-38.6 = 10.2 +4(176.9/x)

Solution

-48.8 = 4(176.9/x) . . . . subtract 10.2

-12.2 = 176.9/x . . . . . . . divide by 4

x = 176.9/(-12.2) . . . . . multiply by x/-12.2

x = -14.5 . . . . . . . . . . . finish the division

The initial number is -14.5.

100 POINTS!!!!
What is the value of 2 + (-2/3) ^2 ÷1/3 ?
16
3 1/3
-2
0

Answers

Answer:

10/3

Step-by-step explanation:

remember about right order

Anthony is building a rectangular shaped swimming pool with a perimeter of 80 feet. Determine a function A(w) that models the area of the top surface of the swimming pool in terms of width W. A(w)= For w>0

Answers

Answer:

[tex]A(w) = 40w - w^2[/tex]

Step-by-step explanation:

Given

[tex]P = 80[/tex] --- perimeter

Required

Define the area in terms of width

The perimeter of the pool is:

[tex]P =2(l + w)[/tex]

Where:

[tex]l\to length[/tex]

[tex]w\to width[/tex]

So:

[tex]80 =2(l + w)[/tex]

Divide by 2

[tex]40 =l + w[/tex]

Make l the subject

[tex]l = 40-w[/tex]

The area is then calculated as;

[tex]A(w) = l * w[/tex]

Substitute: [tex]l = 40-w[/tex]

[tex]A(w) = (40 - w) * w[/tex]

[tex]A(w) = 40w - w^2[/tex]

points E, F and D are located on the circle C. The measure of arc ED is 108.
What is the measure of angle ECD ?

Answers

Answer:

Lines are drawn from points E and D to point F to form chords E F and D F. ... Arc E D is 68 degrees. The measure of arc ED is 68°.

Check whether (0, -2) is solution of the equation x - 2y = 4 or not

Answers

Answer:

Step-by-step explanation:

Plugin x = 0 & y = -2 in the LHS of the equation. After substituting, if you get the RHS, then this point is the solution of the equation.

x - 2y = 0 - 2*(-2)

= 0 + 4

= 4 = RHS.

(0,-2) is solution of the equation.

You bought 6 bars of home made soap from eBay, and weighed them on an electronic scale. They weighed 4.003, 4.006, 4.012, 4.008, 4.004, and 4.009 ounces. What is the average weight of the bars? *DON'T ROUND*

1. 4.010 ounces.
2. 4.007 ounces.
3. 24.042 ounces.

Answers

2 add them all together and divide by 6 and you get 4.007

The average weight of the soap bars is 4.007 ounces. Therefore, option 2 is the correct answer.

What is the average?

In maths, the average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values. When we need to find the average of a set of data, we add up all the values and then divide this total by the number of values.

Given that, the weight of 6 home made soaps are 4.003, 4.006, 4.012, 4.008, 4.004, and 4.009 ounces.

We know that, average = Sum of all the observations/Number of observations

Here, the average = (4.003+4.006+4.012+4.008+4.004+4.009)/6

= 24.042/6

= 4.007 ounces

Therefore, option 2 is the correct answer.

To learn more about an average visit:

https://brainly.com/question/11195029.

#SPJ3

m2 = 10x + 2 and m2) = 9x + 8.
Find x.
U
Solve for x.

Answers

Answer:

x=m2/10 − 1/5

x=m2/9 − 8/9

Step-by-step explanation:

9: A rectangular room is 14m long and 8m wide. Jessica is going to carpet the room with carpet that costs £17.50 per square metre. Work out the cost of carpeting the room.

Answers

Answer:

£1,960

Step-by-step explanation:

Find the area of the room using the formula, A = lw

Plug in the length and width, and solve:

A = lw

A = 14(8)

A = 112

So, the area of the room is 112 square meters. Find the cost of carpeting the room by multiplying this by the price, £17.50

112(17.5)

= 1960

So, the price will be £1,960

4. If you color the perfect squares on a multiplication table, you will be coloring a_______ line.

A. Diagonal
B. Vertical
C. Horizontal
D. Zig-zag

Please helpppp

Answers

Answer:

A. Diagonal line

Answer:

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hmmmmmm i dont know

Step-by-step explanation:

Name the property shown by the statement. (5 + m) + n = 5+ (m + n)

Answers

Answer:

Associative property of addition

Please click the photo and there are two questions to solve .Please help me guys

Answers

Answer:

Step-by-step explanation:

Distance formula:

[tex]\sqrt{(X_2-X_1)^2+(Y_2-Y_1)^2}[/tex]

Distance for AB

[tex]\sqrt{(4-2)^2+(1-(-5))^2}=\sqrt{4+36}=\sqrt{40}\\[/tex]

Distance for AC

[tex]\sqrt{(8-2)^2+(-3-(-5))^2}=\sqrt{36+4}=\sqrt{40}[/tex]

same formula solve when positive

[tex]5=\sqrt{(6-3)^2+(y-2)^2}\\25=9+(y-2)^2\\16=(y-2)^2\\4=y-2\\6=y[/tex]

Now when it's negative

[tex]5=\sqrt{(6-3)^2+(y-2)^2}\\25=9+(y-2)^2\\16=(y-2)^2\\-4=y-2\\y=-2[/tex]

so y can equal 6 or -2

3. Round off the following numbers to three decimal places:
a) 31,1104
b) 0,10989

Answers

A) 31.110
B) 0.110

When rounding to three decimal places, you consider if the number to the right of the third decimal place is less than or greater than 5. If it's less than 5, then the digit in the third decimal place stays the same. If it is greater than or equal to 5, then you round the digit in the third decimal place up by one.

Answer:

311.104

010.989

Step-by-step explanation:

Find 3v - 4w if v = -3i and w=-i + 5j. Use < > for
vector notation.

Answers

Answer:

[tex]<-5, 20>[/tex]

Step-by-step explanation:

What we're given:

[tex]\vec{v}=-3i[/tex] [tex]\vec{w}=-i+5j[/tex]

The vector [tex]3v-4w[/tex] is then [tex]3(-3i)-4(-i+5j)=-9i+4i-20j=-5i+20j\implies \boxed{<-5, 20>}[/tex]

In a class of 40 students, a teacher surveyed everyone to see how many had a pet dog (D), a pet cat (C), or a pet bird (B). 28 students have a cat. Of those 28, 10 of them also have a bird. 19 students have a dog. Of those 19, 6 of them also have a cat and 2 of them also have a bird. Out of the 40 students, 2 of them have all three pets.

Draw a Venn Diagram to help you answer the questions.

Find P(B). Write your answer as a percent to the nearest tenth. Do NOT include the percent sign!

Answers

Answer:

This cant be an accurate question, i drew the diagram and before i got to the people who only have birds i already had over 40 people total

Step-by-step explanation:

What is the inverse of the statement below?
x →y
A. -X
B. y = x
C. y = x
O D. -x=y

Help plz

Answers

Answer:

d -x=y the awnssr may not be correct but I tried so

Given The following right triangle, what is the ratio of Cos(b)
A) 5/13
B) 5/12
C) 13/5
D) 12/13

Answers

Answer:

A. 5/13

Step-by-step explanation:

Cos = Adjacent/Hypotenuse

Adjacent of B = 5

Hypotenuse = 13

Hence CosB = 5/13

(1) At the local nursery, 1/2 of the plants for sale are flowers and another 1/10 of them are
bushes. What fraction of the plants for sale are either flowers or bushes?

Answers

Answer:

6/10

Step-by-step explanation:

Look at is a whole. Half the plants are flowers, and just a few are bushes. That leaves other plants that are neither.

We can find a total amount of plants that are either flowers or bushes by combining the two.

Because 1/2 and 1/10 are not currently combinable, you must find a common denominator. This common denominator is 10. If you multiply 2 by 5, you'll get 10.

[tex]\frac{1}{2} +\frac{1}{10}[/tex]

[tex]\frac{5}{1} (\frac{1}{2} )+\frac{1}{10}[/tex]

[tex]\frac{5}{10} +\frac{1}{10}[/tex]

[tex]\frac{6}{10}[/tex]

This means that 6/10 of the whole number of plants are either flowers or bushes. You could also say it means that 4/10 of the plants are something other than flowers or bushes.

I hope this helped :)

3x + 14 < 38
Please show work

Answers

3x + 14 < 38

Subtract 14 from both sides:

3x < 24

Divide both sides by 3:

X < 8

Fred drew the pentagon below how should fred fold the pentagon to determine

Answers

The question is incomplete. The complete question is :

Fred drew the pentagon below how should Fred fold the pentagon to determine if ∠ C is congruent to ∠ D ?

Solution :

Given Fred drew a pentagon as shown below :

In mathematics, congruent angles are defined as the angles having the same measure or the same angle.

A angles of a regular pentagon always have the same measures and each angle is equal to 108 degrees.

In the context, Fred drew a pentagon and if he folds the pentagon along the vertical axis, the side BC aligns with the side DE and thus it makes the ∠ C congruent to ∠ D.

In a wildlife park, there were 18 gray wolves. After three years, there were 27 gray wolves. What is the percent gain?

Answers

27-18=9 (difference between)
9/18=0.5 (9 as a percentage of original as a decimal)
0.5x100=50 (as a percentage)

50% increase

Answer:

50%.

Step-by-step explanation:

Gain as a fraction is (27-18) /18

= 9/18

= 1/2.

Percent gain = 1/2 * 100 = 50%.

1
2
30mm
TIME REMAINING
02:54:29
A used car dealer prices her cars so that she makes a minimum profit of 15% on each car sold. If she acquired a car
for $4,500, which inequality can be used to determine the acceptable selling prices, p, of that car?
SESE
O 1.15ps4,500
O 1.15p24,500
O P51.15(4,500)
O p21.15(4,500) W
Submit

Answers

I would say probably A

With three people living together, how will the rent and other expenses be split?

Answers

Answer:

Everything will be split in threes. You can do this by either multiplying the cost by 1/3 or dividing by 3.

Step-by-step explanation:

Mrs.Tate is 5 feet 3 inches tall. Her daughter is 4 feet 8 inches tall. How much taller is Mrs.Tate than her daughter?

A) 5 inches
B) 7 inches
C) 1 foot 5 inches
D) 1 foot 7 inches

Answers

Answer: 7 inches (choice B)

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

Explanation:

1 foot = 12 inches

5 feet = 60 inches (multiply both sides by 5)

5 ft, 3 in = 63 inches (add 3 inches to both sides)

Through similar steps, you should find that 4 ft 8 in converts to 56 inches

The difference is 63-56 = 7 inches

What is the x-value of point A?
1
6
4
ТА
2
-6
-4
-2
-8
х
-2
-4
-6
please help and hurry!!

Answers

The correct answer is 4

can somebody help me with this question !

Answers

Answer:

No please! Mr excuse me I am not your type bye

Two friends Vicky and Love start a business together. They decided to share their capitals depending upon the variable

expenditure. The capital of the two

partners together is given by polynomial 6x+10x -35, which is the product of

their individual share factors.

On the basis of the above information,

answer the following questions.

i) The total expenditure of Vicky and Love

when x = 10 is (in )

(a) 375 (b) 475

(c) 575 (d) 675

(ii) The shares of the Vicky and Love

individually is

(a) 2x +7, 3x -

5

(b) 3x -5, 2x +7

(c) Both (a) and (b)

(d) None of the above

(iii) The value of x, when their shares are

equal

(a) 12 (b) 10

(c) 8 (d) 6

(iv) The value of x, when their total share is

equal tob0

7

(a)- (b) 3

(c) Both (a) and (b) (d) None of these

(v) The sum of their expenditure is

(a) 5r -2 (b)5x+2 (c) 4x-2 (d) 4x+2

Answers

I'm pretty sure it's b but if I'm wrong sorry

A cylinder has a diameter of 24 inches. If its height is half its radius, what is the volume of the cylinder in cubic inches?

A.

72π cu. in.

B.

864π cu. in.

C.

3,456π cu. in.

D.

6,912π cu. in.

Answers

Answer:

B. 864π cu. in.

Step-by-step explanation:

Given the following data;

Diameter = 24 inches

Radius, r = diameter/2 = 24/2 = 12 inches

Height, h = radius/2 = 12/2 = 6 inches

To find the volume of the cylinder in cubic inches;

First of all, we would determine the area of its circular base.

Area of circle = πr²

Area = π * 12²

Area = 144π in² (in terms of pie, π)

Next, we would find the volume of the cylinder;

Mathematically, the volume of a cylinder is given by the formula;

V = πr²h

Where;

V is the volume of a right circular cylinder.r represents the radius of the cylinder.h represents the height of the cylinder.

Substituting into the formula, we have;

Volume = 144π * 6

Volume = 864π cu. in

Answer:

B. 864π cu. in.

Step-by-step explanation:

What is the equation of the line that is parallel to the line y = -1/3 x + 4 and passes through the point (6, 5)?
y = -1/3 x + 3
y = -1/3x + 7
y = 3x – 13
y = 3x + 5

Answers

Answer:

[tex]5)8 \sqrt[6]{?} [/tex]

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How to do long division

Answers

Answer:

if you wanna do long division you have to simply just follow a procedure that is nice and easy so long division method is mainly need to find the square of a number with out using the prime factorization method the procedure is consisting of these of two steps

Obtain the number whose square root is to be computed

place bars every pair of digits starting with the unit digits .Also place a bar on one digit if any not forming a on the extreme left. each pair and the remaining one digit (if any) on the extreme left is called a period

think of the largest number whose square is less than or equal to the first period . if this number as the divisor and the quotient

put the question above the period and write the product of divisor and question just below the first period.

subtract the product of divisor and quotient from the first period and bring down the next point to the right of the remainder this becomes the next dividend.

double the question as it appears and enter It to the blank on the right for the next digits, as the next possible divisor.

think of a digit to fill the blank in step 6 in such a way that the product of new divisor and its digit is equal to or just less than the new dividend obtained in the step 5 .

subtract the product of the digits chosen in steps 7 and the new division from the dividend obtained in step 5 and bring down the next period to the right of the remainder of this becomes new dividend .

repeat the steps 5 6 and 7 till all the periods have been taken up .

obtain the quotient as a square root of the given number .

Hope it helps

Identify the relationship (complementary, linear pair/supplementary, or vertical) and find the measure of angle b in the image below

Answers

Answer:

Relationship: supplementary

B = 110

Step-by-step explanation:

The two angles shown form straight line

Angles that form a straight line add up to equal 180. Angles that add up to 180 are known as supplementary angles

If the angles add up to equal 180 then b + 70 = 180

Subtract 70 from both sides

b = 110

Other Questions

Can someone please help me? 2.13 Journal 50 POINTS HELP!!!Writing PromptIn this journal activity, you will write your own version of history for the period between 8000 and 600 BCE by answering the questions below. In your responses, use your own words and be as clear as possible. You will be graded primarily on the completeness and clarity of your writing.Terms:Neolithic RevolutioncivilizationDirectionsThink of a creative or descriptive name for this time period. For example, you might call the period before the development of agriculture "Life Before Farming" or "Hunting to Survive." Make this name the title of your journal entry.Write a journal entry that is at least three paragraphs long. Each paragraph should be at least four sentences long. Make sure to also use the terms listed above at least once in your writing. Your journal entry should address each of the following:Summarize the major turning points or "game changers" of this period; what were the biggest changes in how people lived, what they were able to do, or what they valued and believed?Identify the major regions of the world in which these changes occurred.Predict the major impact of these changes on human history. What effects might we see in the eras that followed this time period? What impact can we still see or feel today?4Use these social studies terms correctly:Neolithic Revolutioncivilization2Write a minimum of three paragraphs; include a title for your journal entry. (You can type your answer or write it by hand.) NO2 + H2O =SO2 + H2O =H2S + H2O= i have 5 eggs i grabbed one i a cracked 1 i cooked one i ate one how many eggs do i have how to many hearts please realdevil teach me Write an long essay about environmental pollution At midday the temperature in Moscow was 7C.At midnight it was -3C.By how many degrees did the temperature fall? short impression about your own church write an algorithm to find perimeter of circle Which sentence contains a department clause Henry signed up for a streaming music service that costs $14 per month. The service allows Henry to listen to unlimited music, but if he wants to download songs for offline listening, the service charges $1 per song. How much total money would Henry have to pay in a month in which he downloaded 50 songs? How much would he have to pay if he downloaded s songs? Cost for 50 songs : Cost for s songs : what is the formula for potassium sulfate Phn tch nhng xu hng mi ca Digital Marketing ni bt 2020-2023 plz plz helpp asapplzzzi will give brainliestplz help genetic engineering is widely used in the field of agriculture and medicine. justify the impact of genetic engineering on humans and the environment. the width of a rectangle is 2 inches less than its length , and the area is 35 sqaure inches. what are thd length and width of the rectangle I don't know how to do this Cambia el plural de los sustantivos.1. t: ()2. caf: ()3. carcter: ()4. espcimen: ()5. crisis: ()6. mnibus: ()7. anlisis: ()8. trax: ()9. s: ()10. a: ()por fiss lo nesecito para ahorita:) Graphthe image of rectangleafter a translation6units right and 1 unitdown. Amarillo Company experienced the following events during its first accounting period. (1) Purchased $5,000 of inventory on account. (2) Returned $1,000 of the inventory purchased in Event 1. (3) Paid the remaining balance in account payable for the inventory purchased in Event 1. (4) Sold inventory purchased in Event 1 for $5,000 to customers on account. At the end of the first accounting period what would be reported for Net Operating Cash Flow on the Statement of Cash