Mathematics College

In a right triangle, cosA=0.352 and sinA=0.936 What is the approximate value of tanA?

A- 0.329
B- 0.376
C-1.288
D-2.659

Answers

Answer 1
The answer to this is: D. 2,659
Answer 2

Answer:

tanA=2.6591

Step-by-step explanation:

[tex]tanA=\dfrac{sinA}{cosA} \\\\tanA=\dfrac{0.936}{0.352} \\\\tanA=2.6591[/tex]

Related Questions

A slice is made perpendicular to the base of a right rectangular prism as shown.
What is the area of the resulting two-dimensional cross section?
Drag and drop the answer into the box.

mm²
48
28
84
144
16

Answers

Answer:

The correct option is 1. The area of cross section area is 48 mm².

Step-by-step explanation:

From the find it is noticed that the cross section is a rectangle with length 4 mm and width is 12 mm.

The area of a rectangle is the product of its dimensions.

[tex]A=l\times w[/tex]

Where, l is length of the rectangle and w is width of the rectangle.

The area of cross section is

[tex]A=4\times 12[/tex]

[tex]A=48[/tex]

Therefore the area of cross section area is 48 mm². Option 1 is correct.

A cookie recipe states for every 3 cups of flour, 1 1/2 teaspoons of vanilla are needed. How many teaspoons are needed for 5 cups of flour?

Answers

3 / 1½ = 2 cups of flour per teaspoon

2x = 5
divide both sides by 2 to isolate x

x = 2.5

You need 2.5 teaspoons of vanilla for 5 cups of flour.

determine the area of a 21ft circle

Answers

A = (π/4)*d^2
.. = (π/4)*(21 ft)^2
.. = 110.25π ft^2
.. ≈ 346.36 ft^2

find the product 3012 and 4

Answers

product is multiplying, so it is 3012*4 which equals 12048
753. Its hard to show long division with out a paper, but if you remember divide, multiply and subtract, bring it all down and bring it all back, you'll be good. There is a really good video online to help remember it, but with this specific problem, 4 ends up going into 3012, 753 times.

Using synthetic division, find the quotient Q(x) and the remainder R if the polynomial P(x) = x3 − 2x2 − 3x + 18 is divided by (x + 2).

Answers

Answer:

quotient: x^2 - 4x + 5
remainder: 8

Explanation:

1) Given

p(x) = x^3 - 2x^2 - 3x + 18
divisor: x + 2

2) Write the coefficients of p(x) in order:

1       -2        -3      18

3) dividing by x + 2 => run the division  for x = - 2

4) division

     | 1     -2     -3     +18
     |
 -2 |       -2     +8     - 10
-----------------------------------
      1     -4     +5      +8

The last digit is the remainder, the others are the coefficients of the quotient:

=>

quotient = x^2 - 4x + 5
remainder = 8

The quotient Q(x) is found to be x² - 4x - 11 and the remainder R is 4.

The question involves using synthetic division to find the quotient Q(x) and the remainder R when the polynomial P(x) = x³ − 2x² − 3x + 18 is divided by (x + 2).

To perform synthetic division, we first write down the coefficients of P(x): 1, -2, -3, and 18. The divisor is (x + 2), so we use -2 for the synthetic division.

Write the coefficients of P(x): 1, -2, -3, 18.

Write the root of the divisor (x + 2) = -2 on the left side of the synthetic division setup.

Bring down the first coefficient (1).

Multiply -2 by 1, place the result (-2) under the second coefficient (-2), and add the two numbers yielding -4.

Repeat the multiplication and addition process for the rest of the coefficients.

The results of the synthetic division process give us the coefficients of the quotient Q(x) and the remainder R.

In performing the synthetic division, we find that the quotient Q(x) is x² - 4x - 11 and the remainder is R = 4.

Two forces with magnitudes of 25 and 30 pounds act on an object at angles of 10° and 100°, respectively. Find the direction and magnitude of the resultant force. Round to two decimal places in all intermediate steps and in your final answer.

Answers

The direction and magnitude can be found by summing the x- and y-components of each force.
It is best presented in the form of a table, where
x-component = Fcos(theta)
y-component = Fsin(theta)
For F=25 pounds, angle = 30
25cos(30)=21.65

Force  angle     x-component          y-component
25       30         25cos(30)=21.65    25sin(30)=12.5
30       100       30cos(100)=-5.21   30sin(100)=29.54
Total                Fx=16.44                 Fy=42.04
Therefore angle = tan^(-1)(Fy/Fx)=tan^(-1)(42.04/16.44) = 68.64 °
magnitude = sqrt(Fx^2+Fy^2)=sqrt(16.44^2+42.04^2)=45.15 pounds

What is 3^2/3 equal to? A.3√9 B.2√9 C.3√27 D.2√27

Answers

[tex] a^{\frac{m}{n}} = \sqrt[n] {a^m} [/tex]

[tex] 3^{\frac{2}{3}} = \sqrt[3] {3^2} = \sqrt[3] {9} [/tex]

53b−7b−6b+1 if b=25
Please help me with this problem! And what is the simplified expression?

Answers

Answer: 1001

B/c i said so

Lita,Kala, and Rose entered a typing competition. Lita typed 2 times as fast as Kala. The ratio of the number of words Kala typed to the number of words Rose typed was 4:1. If Rose typed 48 words, how many words did Lita type?

Answers

If the ratio from Kala to Rose is 4:1, then for the 48 words Rose typed Kala typed 192 words. 48*4=192
Then Lita types twice as fast so 192*2=384.
It should be 384 words.

 and  are similar. Find the value of x. A. 5 B. 15 C. 60 D. 240

Answers

Dude we need to actualy see the question all we see is find the value of x but we don't know our other value?

a parallelogram has an area of 108 square inches. The base of the parallelogram is 18 inches. Explain how you could find the height of the parallelogram, then find the height. Show your work.

Answers

Because the formula for finding the area of a parallelogram is base times height, you can divide the base of the parallelogram into the area to find the height.

A=bh

108=18h
divide both sides by 18 to find h

6=h

The height is 6 inches.

Answer:

Height=6in

Step-by-step explanation:

Took test and got it correct

The prism is completely filled with 1750 cubes that have edge length of 1/5 feet. What is the volume of the prism,

Answers

we know that
the volume one cube=(1/5)*(1/5)*(1/5)=(1/125) ft³
the volume of prism=1750*(1/125)=14 ft³

the answer is 14 ft³

At noon, ship a is 60 km west of ship
b. ship a is sailing south at 15 km/h and ship b is sailing north at 5 km/h. how fast is the distance between the ships changing at 4:00 pm?

Answers

dA/dt=15 km/h and dB/dt=5 km/h
base of our triangle if drawn is 60 km
to find dD/dt when t=4 hours we shall have:

(A+B)²+60²=D²
d/dt[(A+B)²+60²]=d/dt(D²)
[d(A+B)]/dt*2(A+B)(2)=dD/dt*2D
B=5km/h*4hr=20km
A=15km/hr*4=60km
20²+60²=D²
D=√4000

(15+5)*(2)*80*(2)=2*√4000*dD/dt
dD/dt=6400/√4000=101.192 km/hr

The two ships are sailing in opposite sides, Hence, the resultant speed is given by 15+5 = 20 km/hr.

Therefore, from the below triangle, we have

[tex]\frac{dx}{dt} = 20 \text{  km/hr}[/tex]

Let the distance between the ships is y. On applying Pythagorous theorem, we have

[tex]y^2=x^2+60^2\\ \text{On differentiating, we get}\\ 2y\frac{dy}{dt} =2x\frac{dx}{dt}\\\frac{dy}{dt}= \frac{x}{y} \frac{dx}{dt}[/tex]

On substituting the value of y as [tex]y=\sqrt{60^2+x^2}[/tex]

[tex]\frac{dy}{dt} =\frac{x}{\sqrt{60^2+x^2}} \frac{dx}{dt}[/tex]

Since, the at noon the ship is 60 km to each other. Hence, for 4 PM, i.e. t=4, we have

[tex]x=4 \times \frac{dx}{dt} \\ x= 4 \times 20 \\x=80[/tex]

On substituting the value in above, we get

[tex]\frac{dy}{dt} =\frac{80}{\sqrt{60^2+80^2}} (20[/tex]

[tex]\frac{dy}{dt} = 16.0 \text{ km/hr}[/tex]

Therefore,  the distance between the ships changing at a rate of 16 km/hr at 4:00 pm

simplify the complex fraction

Answers

pl see the attachment
the final answer is (y+z)/(y-z)

Why do clouds tend to form around 3:00 pm and 6:00 am

Answers

During daytime, the sun heats the land and warms the air that rises. That lowers the pressure, causing a gradient force to bring air from the colder sea. The wind is then onshore. Small cumulus clouds form over the land, often following the coastline very closely 

The region r is bounded by the parabola y = x2 and the line y = 4. set up definite integrals to find the moment mx of r about the x-axis and the area a of the region r. then find (x, y )

Answers

Consider this option:
Volume is 256π/5, area is 32/3.
Details are in the attachment.
P.S. intersection points are (-2;4) and (2;4).

how much difference is there between investing $5,000 at 4% simple interest for 5 years and investing that same amount at 4% compounded quarterly

Answers

To find the difference between the tow investments we are going to use tow formulas. Simple interest formula for our simple interest investment, and compound interest formula for our compound interest investment.
- Simple interest formula: [tex]A=P(1+rt)[/tex]
  where
  [tex]A[/tex] is the final investment value
  [tex]P[/tex] is the initial investment 
  [tex]r[/tex] is the interest rate in decimal form 
  [tex]t[/tex] is the time in years
For our problem we know that [tex]P=5000[/tex], [tex]r= \frac{4}{100} =0.04[/tex], and [tex]t=5[/tex], so lets replace those values in our simple interest formula to find [tex]A[/tex]:
[tex]A=5000(1+(0.04)(5))[/tex]
[tex]A=5000(1.2)[/tex]
[tex]A=6000[/tex]

Now that we know the final investment value of our simple interest investment, lets use the compound interest formula to find the final investment value of the other one:
- Compound interest formula: [tex]A=P(1+ \frac{r}{n})^{nt} [/tex]
  where
  [tex]A[/tex] is the final investment value
  [tex]P[/tex] is the initial investment 
  [tex]r[/tex] is the interest rate in decimal form
  [tex]n[/tex] is the number of times the interest is compounded per year
  [tex]t[/tex] is the time in years 
For our problem we know that [tex]P=5000[/tex], [tex]r= \frac{4}{100} =0.04[/tex], and [tex]t=5[/tex]. Since we know that the interest is compounded quarterly (each 4 months), it mean that is compounded [tex] \frac{12months}{4months} =3[/tex] times per year, so [tex]n=3[/tex]. Now that we have all the vales, lets replace them in our formula:
[tex]A=5000(1+ \frac{0.04}{3} )^{(3)(5)} [/tex]
[tex]A=5000(1+ \frac{0.04}{3} )^{15} [/tex]
[tex]A=6098.95[/tex]

now that we know the final amounts of our investments, lets find how much difference is between them: 
[tex]6098.95-6000=98.95[/tex]

We can conclude that the difference between invest $5000 in a compound interest investment vs a simple interest investment is $98.95.

The IRS has a group of 45 tax returns, 15 of which contain errors. An IRS auditor randomly selects 3 tax returns from this group. What is the probability the auditor selects none of those containing errors? Round to four decimal places.

Answers

Out of 45, there are 45-15=30 that do not contain errors.

If the auditor randomly selects 3 returns, without replacement, then
P(1)=30/45,
for the second one, there will be 29 correct returns out of 44, so
P(2)=29/44
Similarly,
P(3)=28/43
Therefore, by the multiplication rule, the probability of selecting 3 correct returns is the product
P(1)*P(2)*P(3)=30*29*28/(45*44*43)=406/1419

Answeeeeeerrrrr

0.2861

A math test took 50 minutes to complete. The test ended at 3:55. What time did the test begin?

Answers

The test started at 3:05 if it ended 50 minutes later at 3:55

A math test ended at 3:55 and it took 50 minutes to complete. What time did the math test start?

The math test started at 3:05.

If we know that the math test ended at 3:55 and lasted 50 minutes, we can subtract 50 minutes from 3:55 and we will get an answer of 3:05.

Therefore, the math test started at 3:05.

Please help me with this question

Answers

Try this option:
1. S=12²-10²=44 sq. ft.
2. S=10*12-6*8=120-48=72 sq. ft.

answers: 1-C; 2-C.

EXPERTS/ACE/GENIUSES

Answers

the answer would be D

One angle of a rhombus measures 108°, and the shorter diagonal is 9 inches long. Approximately how long is the side of the rhombus? (Hint: Diagonals of a rhombus bisect the angles.) 7 in. 8 in. 11 in.

Answers

The value of the length of the rhombus will be found as follows:
cos θ=adjacent /hypotenuse
θ=108/2=54°
adjacent = 9/2=4.5 inch
hypotenuse=length of the rhombus
thus
cos 54=9/x
x=4.5/cos 54
x=7.6558~8  inches
the answer is 8 inches

Answer:

8 in.

Step-by-step explanation:

Let's find the rhombus's length...

cosine =  [tex]\frac{adjacent}{hypotenuse}[/tex]

cosine = ° = 54°

adjacent =  = 4.5 in

Length of Rhombus = Hypotenuse

So...

cos54 = [tex]\frac{9}{x}[/tex]

x = [tex]\frac{4.5}{cos 54}[/tex]

x = 7.6558... about 8 inches

Find a vector equation and parametric equations for the line segment that joins p to q. p(1, −1, 7), q(7, 6, 1) vector equation r(t) = <1+6t,−1+7t,7−6t> parametric equations (x(t), y(t), z(t)) =

Answers

Answers: 

- vector equation: r(t) = <1 + 6t, -1 + 7t, 7 - 6t> 
- parametric equations:   
      x = 1 + 6t
      y = -1 + 7t
      z = 7 - 6t

Explanation:

To obtain the vector equation, we first get a vector v that is parallel to the line. To get the vector v, we subtract p from q. So,

v = q - p
   = (7,6,1) - (1,-1,7)
v  = (6, 7, -6)

The vector equation of the line is given by

[tex]r(t) = v_0 + tv[/tex]

Where

[tex]v_0[/tex] = a point in the line (we choose point p(1,-1,7))

So, the equation of the line joining p and q is given by

[tex]r(t) = v_0 + tv \\ \indent = \left \langle 1, -1, 7 \right \rangle + t\left \langle 6, 7, -6 \right \rangle \\ \indent = \left \langle 1, -1, 7 \right \rangle + \left \langle 6t, 7t, -6t \right \rangle \\ \indent \boxed{r(t) = \left \langle 1 + 6t, 1 + 7t, 7 - 6t \right \rangle }[/tex]

In the parametric equation of the line, we just need to get the x, y and z coordinates in the vector equation.

Since the vector equation is given by 

[tex]r(t) = \left \langle 1 + 6t, 1 + 7t, 7 - 6t \right \rangle[/tex]

The parametric equations of the line are given by:

[tex]x(t) = 1 + 6t \\y(t) = 1 + 7t \\z(t) = 7 - 6t[/tex]


Final answer:

The vector equation for the line segment joining the points p(1, -1, 7) and q(7, 6, 1) is r(t) = <1+6t, -1+7t, 7-6t> and the corresponding parametric equations are x(t) = 1 + 6t, y(t) = -1 + 7t, z(t) = 7 - 6t.

Explanation:

To find the vector and parametric equations for the line segment joining two points p(1, -1, 7) and q(7, 6, 1), we first need to understand that the vector equation for a line segment in space is given by r(t) = p + t (q - p), where 0 ≤ t ≤ 1, and p and q are the coordinates of the points. The parametric equations are obtained by expressing the x, y, and z coordinates of r(t) as individual functions of t.

Substituting the given points into the vector equation we get: r(t) = <1+6t, -1+7t, 7-6t>. Then, the corresponding parametric equations will be x(t) = 1 + 6t, y(t) = -1 + 7t, and z(t) = 7 - 6t.

Learn more about Vector and Parametric Equations here:

https://brainly.com/question/32591934

#SPJ3

Alicia buys a 5 pound bag of rocks for fish tank. She uses 1 1/8 pounds for a small fish bowl. How much is left

Answers

Hello,

Here is your answer:

The proper answer to this question is "4".

Here is how:

First convert the mix number into a fraction:

1 1/8=9/8

5*8=40
1*8=8
-
9*1=9
8*1=8

40-8=32

32/8=4
8/8=1

Which means your answer is 4/1 or 4!

If you need anymore help feel free to ask me!

Hope this helps!

3^2•3^n simplifies to 3^20 what is the value of the exponent n?

Answers

Given that:
[tex]3^2 \times 3^n = 3^20 [/tex]
Solving for n.
Divide both sides by 3²
[tex] \frac{3^2 \times 3^n}{3^2} = \frac{3^{20}}{3^2} [/tex]
Simplify
[tex]3^n= 3^{20-2} \\ 3^n=3^{18} \\[/tex]
[tex]if \ a^{f(x)}=a^{g(x)} , \ then \ f(x)=g(x)[/tex]
So, n=18

Answer: n=18

6 Bands were going to play at a concert. How many ways can the concert manager send them on stage?

Answers

Try this option:
there are two ways to resolve this task:
1. the 1st in this sequence is for 6 bands, the 2d in this sequence is for 5 rest bands, the 3d in this sequence is for 4 rest bands, the 4th in this sequence is for rest 3 bands, the 5th in this sequence is for rest 2 bands and the 6th in this sequence is for the last 1 band. Using the logical rule 'AND': A=6*5*4*3*2*1=720.
2. According to arrangement rules it is the formula: A=n!, where n - number of bands.
A=6!=720.

answer: 720.

A geometric sequence is shown below : 2/3,2,6,18.. write the explicit formula

Answers

so we know this is a geometric sequence, meaning it has a multiplier, or a "common ratio".

now, we get the next term's value by simply multiplying the current term's value by the common ratio, so if we just divide any of the terms by the term before it, the quotient will just be the common ratio.

18/6 is just 3, so there you have it, and we know the first term is 2/3.

[tex]\bf n^{th}\textit{ term of a geometric sequence}\\\\ a_n=a_1\cdot r^{n-1}\qquad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ r=\textit{common ratio}\\ ----------\\ r=3\\ a_1=\frac{2}{3} \end{cases}\implies a_n=\cfrac{2}{3}\cdot 3^{n-1}[/tex]

plz help ill give u branlist

Answers

Remember complementary sum is 90
so...
48 + 7(x + 1) = 90
7(x + 1) = 42
x + 1 = 6
x = 5

A prism with a base area of 3m^2 and a height of 4m^2 is dilated by a factor of 3/2 what is the volume of the dilated prism

Answers

72 because 12times 4 is 48  then 3/2 times 48 and that is 144/2 then divide it and 72

how to do this 24:96 = 5:?

Answers

Um... I think you meant 24:96 = 5:x

In that case, x=20


Other Questions
What impact does the Supreme Court have on the daily lives of Americans? Explain your answer. ((Will mark the Brainliest and will give 20 points!)) _____ are labor markets in which workers are hired into entry level jobs and higher level jobs are filled from within. select one:a. external labor markets b. outsourcing markets c. internal labor markets d. global sourcing markets When a neutral metal sphere is charged by contact with a positively charged glass rod, the sphere (1) loses electrons (2) gains electrons (3) loses protons(4) gains protons Consider the function f(x)=8-3x^2. Find the value of f(x) when x=3 and select the correct answer below. A.-19B.-10C.26D.35 When cyclist squeezes her brake lever, she can stop with an acceleration of -3.0 m/s^2 how far will her bike travel while coming to a complete stop if her initial speed was 11 m/s The length of a rectangle is three more than twice the width. determine the dimensions that will give a total area of 27m^2 Why should you sort mail into categories before presenting it to be executive? Vertebrates that are warm blooded, give live birth to live young, and nourish their young with milk would be classified as Which statement best describes Sara Teasdales poems Lights, I Shall Not Care, and Dew? Which of the following is a dark sticky substance that is found in tobacco?a.tarb.nicotinec.nitrogend.carbon monoxide Reserved powers are powers that are reserved for the federal government. Please select the best answer from the choices provided T F Read this excerpt about Angel Island, an immigration station in the 1900s. Located in San Francisco Bay in northern California, Angel Island opened in 1910 to process a wave of European immigrants expected to come through the Panama Canal. But when World War I began, the wave never came. However, immigration from across the Pacific Ocean rose thanks to crises around the world. These included the civil war in Mexico, the Russian Revolution, the massacre of Armenians, the Japanese invasion of China, and worldwide effects of the Great Depression. More than half the immigrants came from China or Japan. In spite of the odds, America still offered the hope for a better future. Angel Island was called the Ellis Island of the West. But from the start, it was more like a detention center than an immigration center. The roughly one million immigrants entering the United States through Angel Island were processed but not welcomed. What does this excerpt explain about this setting?\Many immigrants arrived at Angel Island during World War I, because the station was located near Europe.Many immigrants came to Angel Island from China and Japan, because the station was located near the Pacific Ocean.People from Panama came to Angel Island, because it was located near the Panama Canal.People from Ellis Island came to Angel Island, because it was called the Ellis Island of the West. A eukaryotic cell that is involved in synthesizing large amounts of protein might be expected to have Jessica has the option to switch to a plan that charges $65.00 per month with unlimited text messages. Jessica typically sends about 900 text messages per month. Does it make sense for her to switch to the new plan ? explain. Why is Mary Shelleys novel Frankenstein considered a work of science fiction when it is a representative work of the gothic genre? a) many scientific theories that are mentioned in the novel have been applied in real life b) the novel suggests that technology can create a living creature from a dead body. c) the novel is about a government trying to create and control artificial humans d) the novel is based on scientific theories prevalent at the time of its writing e) the novel suggests that humans must learn to coexist with monsters they may create What is a Banknote? Does a banknote have to come from the government? Great Britain was able to gain control of the Suez Canal through _____. A _____ cannot be started until one or more other tasks are completed.a. dependent taskb. concurrent taskc. predecessor taskd. all of the above How did the majority of native people feel about European imperialism? Which characteristic sets hominins apart from other primates?