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Find the exact value of the indicated trigonometric functions using the given information.


Given: tan a=2.4, and π/2Find the exact value of the indicated trigonometric functions using the given information.

Given: tan a=2.4, and π/2find sin a and cot a

Answers

Answer 1

Answer:

Viewed as a right angled triangle

tan

(

x

)

=

5

12

can be thought of as the ratio of opposite to adjacent sides in a triangle with sides

5

,

12

and

13

(where

13

is derived from the Pythagorean Theorem)

So

sin

(

x

)

=

5

13

and

cos

(

x

)

=

12

13

Step-by-step explanation:


Related Questions

3/4 x (z^3 x 4) answer

Answers

Answer:

[tex]3z {}^{3} \times 12[/tex]

[tex]36z {}^{3} [/tex]

What is the estimated temperature if the dissolved salt is 98g?

54
61
161
171

Answers

Ths solubility curve is used to show the amount of salt dissolved (solubility).

What is the solubility curve?

The solubility curve is a depiction of the solubility of a substance plotted against its temperature. It can be used most times to show the solubility of a susbtance at different temperatures. This question is incomplete hence so we can not be able to obtain the solubility of the salt at this temperature.

If the solubility curve has been shown in the graph, then we can be able to obtain the solubility of the salt from the data shown on the plot.

Learn more about solubility curve: brainly.com/question/9537462

What is the simplified form of V10,000 ,​

Answers

100x³²

..................

Ver en español
In her free time, Isabelle likes to read. She kept track of the number of pages in each book she read last summer. This box plot shows the results.
Book pages
100
150
200
250
300
350
What fraction of the books had 200 or fewer pages?

Answers

Using the box plot, it is found that 200 is the median, that is 50% of the books had 200 or fewer pages.

What is a box plot?

It is a plot that focuses the interquartile range of the population, that is, it gives:

The first quartile.The median.The third quartile.

In this problem, they are given as follows:

The first quartile is of 175.The median is of 200.The third quartile is of 250.

Hence, 50% of the books had 200 or fewer pages.

More can be learned about box plots at https://brainly.com/question/14277132

What is X when 19,695 divided by X-15,605 = 100

Answers

Step-by-step explanation:

[tex] \frac{19695}{x - 15605} = 100[/tex]

[tex]19695 = 100(x - 15605)[/tex]

[tex]19695 = 100x - 1560500[/tex]

[tex]19695 + 1560500 = 100x[/tex]

[tex]15801 95 = 100x[/tex]

[tex] \frac{1580195}{100} = x[/tex]

[tex]x = 15801.95[/tex]

urgent i've tried numerous times but i've been unable to factor it

Answers

Answer:

[tex](2c+a+3b)(2c-a-3b)[/tex]

Step-by-step explanation:

Given expression:  [tex]4c^2-a^2-6ab-9b^2[/tex]

Factor [tex]-a^2-6ab-9b^2[/tex]

[tex]\implies -(a^2+6ab+9b^2)[/tex]

[tex]\implies -(a+3b)(a+3b)[/tex]

[tex]\implies -(a+3b)^2[/tex]

Factor [tex]4c^2[/tex]

[tex]\implies(2c)(2c)[/tex]

[tex]\implies (2c)^2[/tex]

Therefore,

[tex](2c)^2-(a+3b)^2[/tex]

Difference of Two Squares: [tex]x^2-y^2=(x+y)(x-y)[/tex]

[tex]x^2=(2c)^2\implies x=2c[/tex]

[tex]y^2=(a+3b)^2 \implies y=a+3b[/tex]

Therefore,

[tex]\implies (2c + a + 3b)(2c - (a + 3b))[/tex]

[tex]\implies (2c+a+3b)(2c-a-3b)[/tex]

Answer:

(2c - a + 3b)(2c + a + 3b)

Step-by-step explanation:

4c² - a² - 6ab - 9b²

= 4c² - (a² + 6ab + 9b²) ← the terms in the parenthesiis are a perfect square )

= 4c² - (a + 3b)² ← this is a difference of squares which factors in general as

a² - b² = (a - b)(a + b) , then

= (2c)² - (a + 3b)²

= (2c - (a + 3b) )(2c + (a + 3b) )

= (2c - a - 3b)(2c + a + 3b)

) What is the volume of the container?
10 Inches
5 inches
12 inches
>) 27 cubic
60 cubic
inches
120 cubic
inches
600 cubic
inches
inches
shine
>

Answers

Answer:

600in³

Step-by-step explanation:

the equation for volume is:

V=s*3

(s is a varible which means LengthxHeightxWidth)

step 1

V= (10")(5")(12")

then it equals your answer

up above is the answer.

Hope it help you out.

Don't forget to label.

Factor 100xy+75xyz
Please help!

Answers

Answer:

25xy(4+3z)

Step-by-step explanation:

identify common factors

25xy*4+3z*25xy

group common factors

25xy(4+3z)

8 + X = 14 what does X equal to?

Answers

Answer:

x=6

Step-by-step explanation:

Rearrange terms:

8+x=14

x+8=14

Subtract 8 from both sides and simplify.

Given :-

8 + X = 14

To find :-

The value of X

Solution :-

8+x = 14

Transferring 8 to Right side

x = 14-8 (Signs change when transferred to opposite side)

x = 6

A bag of marbles contains 7 blue marbles and 13 red marbles. What percent of the marbles are red?
A. 19%
B. 35%
C. 54%
D. 65%

Answers

Answer:

65%

Step-by-step explanation:

We need to divide to solve this :)

13/20 = 0.65

Now we multiply :)

0.65 x 100 = 65%

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

D. 65%

Step-by-step explanation:

the Number of red marbles is 13

The total number of marbles is 13 + 7 = 20

Then

the percentage of red marbles is :

[tex]\frac{13}{20} \times 100[/tex]

[tex]=\frac{13 \times 100}{20}=13 \times 5=65 \%[/tex]

x + y = 2
y - z = 2
x + y - z = 3
.
OA (1,1,-1)
OB. (-1,1,1)
oc. (-1,-1,1)
OD. (-1,1,-1)

Answers

Answer:

it would be B because of the lang it and work

he conic section below is
x

a. a circle
b. an ellipse
C. a parabola
d. a hyperbola
e. a degenerate
Enter

Answers

Answer: Degenerate

Step-by-step explanation:

This conic section (intersecting lines) is a degenerate

The conic section is degenerate.

The correct option is (e).

What is Conic?

Any curve produced by the intersection of a plane and a right circular cone.

As, the given figure shows a degenerate conic is a conic (a second-degree plane curve, defined by a polynomial equation of degree two) that fails to be an irreducible curve.

Hence, the conic section is degenerate.

Learn more about conic here:

https://brainly.com/question/26909560

#SPJ2

Solve the system of equations x - 2y = – 7 and -3x – 2y = 29 by combining the
equations.

Answers

Answer:

x = - 9, y = -1

Step-by-step explanation:

Given:

[tex]\begin{bmatrix}x-2y=-7\\ -3x-2y=29\end{bmatrix}[/tex]

Solve:

[tex]\mathrm{Substitute\:}x=-7+2y[/tex]

[tex]\begin{bmatrix}-3\left(-7+2y\right)-2y=29\end{bmatrix}[/tex]

[tex]\begin{bmatrix}21-8y=29\end{bmatrix}[/tex]

[tex]\mathrm{For\:}x=-7+2y[/tex]

[tex]\mathrm{Substitute\:}y=-1[/tex]

[tex]x=-7+2\left(-1\right)[/tex]

[tex]x=-9[/tex]

[tex]\mathrm{Thus, Answer:x=-9,\:y=-1}[/tex]

[RevyBreeze]

Answer:

x = -9, y = -1

Step-by-step explanation:

Solution:

If x = -7+2y

Then

-3(-7+2y)-2y=29

Simplify

21 - 8y = 29

And if x = -7+2y

Simplify

y = -1

x = -7+2(-1)

x = -9

Hence, x = -9 and y = -1

~lenvy~

Convert 192 cups to gallons. Enter your answers in the boxes.

Answers

Answer: 12 gallons.

Step-by-step explanation: It takes 4 cups to make 1 quart.  It takes 4 quarts to make a gallon.  If you do the calculations, it takes 16 cups in total to make 1 gallon.  By dividing 192 / 16, you 12, which is how many gallons you get when you have 192 cups.

Let me know if this is right! :)

answer with explanation please

Answers

Answer:

D. x>5

Step-by-step explanation:

[tex]3x + 2 < 4x - 3 \\ = 3x - 4x < - 3 - 2 \\ = - x < - 5 \\ = x > 5[/tex]

Use the distributive property to fill in the blank. Plssss helpp 8 x (6 - 5) = (8 x ?) - (8 x ?)

Answers

Answer:

334 hope this helps

Step-by-step explanation:

8 × 6 = 48 -5 =43 ×8 =334

Hey there!

8 * (6 - 5)

= 8(6 - 5)

= 8(6) + 8(-5)

= 48 - 40

= 8


OR

8(6 - 5)

= 8(1)

= 8


OR EVEN

(8 * ?) - (8 * ?)

= (8 * 6) - (8 * 5)

= 48 - 40

= 8


Therefore, your answer should be:

(8 * 6) - (8 * 5)


Good luck on your assignment & enjoy your day!



~Amphitrite1040:)

Find the surface area of the composite figure. 3 cm 12 cm 2 cm 6 cm 10 cm 8 cm SA = ​

Answers

Answer:

Pls try to send ur questions the right way and ask again attaching the picture of the figure. Otherwise, there is no way to solve

Which of the following is formula that represents The Pythagorean
Theorem?

Answers

Look at the diagram for the answer

Hope that helps!

HELP PLEASE!!!
Worth 1 point
Giving 30!!
PLS HELP
I'LL GIVE BRAINLEIST IF CORRECT!!

Answers

Answer:

^EKF and^HKI

Step-by-step explanation:

Because they are vertically opposite angles

8 points
Find the measure of the arc or
angle indicated. Assume that
lines which appear tangent are
tangent. *
F
E
46°
?
?
570
D
с
T
O 123
O 149
O 167
O 93

Answers

Answer:

B. 149

Step-by-step explanation:

The angle formed by two secants is half the difference of intercepted arcs.

46 = 1/2(x - 57)x - 57 = 46*2x = 57 + 92x = 149

Correct choice is B

Let that be m

2(46)=m-5792=m-57m=92+57m=149

option B

Question 1 of 10
The discriminant of a quadratic equation is negative. One solution is 2 +31.
What is the other solution?
O A. 3-2,
O B. 2-31
O c. 3+27
3
O D. -2+31

Answers

Answer:

2-31 your welcome answer is B.

Pat can drive 36 kilometers for every 3 liters of gas they put in their car.
Complete the table using equivalent ratios.
Kilometers
Liters
36
3
48
132

Answers

Answer:

Step-by-step explanation:

This is a proportion question which is 2 ratios which are equal to one another. If 3 of the 4 parts are known, the 4th part can be calculated.

36 liters.

36 km/3 Liters = x / 36             multiply both sides by 36

36*36 / 3 =  x

1296/3 = x

x = 432 km

So on 36 L he can go 432 km

3 liters

Given as 36 km

48 liters

36km/3 liters = x / 48 liters         Multiply both sides by 48

48*36/3 = x

576 km = x

So on 48 liters, he can go 576 km

132 liters

36 km/ 3 liters = x/132

x = 1564 km

On 132 liters Pat can go 1564 km

Help picture below problem 18 will give brainlest

Answers

Answer:

c²=a²+b².

Step-by-step explanation:

28²=17²+b² 766=289+b². -b²=289-766. b²=√475

Find the value of x.
44°
76°
to

Answers

Answer:

120°

Step-by-step explanation:

sum of angles on adjacent sides= exterior angle

x= 76+44 = 120

Question : -

Find the value of x .

Given : -

Angle 1 = 44°

Angle 2 = 76°

Angle 3 = Not given we can assume it as y°

Angle 4 = x°

To Find : -

We have to find the value of x .

Concept : -

The concept of this question belongs to sum of internal angles of triangle and Linear pair of angles .

Solution : -

Firstly , we are finding value of angle y. So sum of Angle 1 , Angle 2 and Angle y is equal to 180° because sum of all angles of internal triangle is 180°. So :

44° + 76° + y° = 180°

120° + y° = 180°

y° = 180° - 120°

y° = 60°

Therefore , value of angle y is 60° .

Now , we are finding the value of x :

As we know angle 3 ( y ) and angle 4 ( x ) is equal to 180° because they form linear pair . So :

60° + x° = 180°

x° = 180° - 60°

x° = 120°

Therefore, value of angle x is 120° .

# [tex] \sf{ \bold{Keep \: Learning}}[/tex]

pls help me
pls write method
add
1) 3x²+5x-8 ; 2x²-9x+9
2) 8xy+19-5x² ; 7x²-5+3xy
subtract
1) 9x²-5x+3xy-8 from 2x²-8x-4xy+9​

Answers

Answer:

5x(squared)-4x+1

2x(squared)+11xy+14

7x(squared)+7xy+3x-17

Step-by-step explanation:

A guy wire runs from the top of a cell tower to a metal stake in the ground. Joseph places a 8-foot tall pole to support the guy wire. After placing the pole, Joseph measures the distance from the stake to the pole to be 8 ft. He then measures the distance from the pole to the tower to be 25 ft. Find the length of the guy wire, to the nearest foot.

Answers

to solve this equation, we need to use the pythagorean theorem.
if 8^2+25^2=the guy wire^2
64+625=the guy wire^2
689=the guy wire^2
the guy wire is 26.25 feet long.

Simplify.
Rewrite the expression in the form a”.
(a”)? = 1



Please needhelp urgently

Answers

Answer:

just randomly write a¹⁰

In a study of the performance of a new engine design, the weight of 22 aircrafts (in tons) and the top speed (in mph) were recorded. A regression line was generated and shown to be an appropriate description of the relationship. The results of the regression analysis are below.

Part A: What is the LSRL based on the analysis provided? Make sure to identify what the variables represent in the context of the problem. (4 points)

Part B: What is the predicted value for the top speed of an aircraft if its weight is 100 tons? Show your work. (6 points)

Answers

The LSRL is the Least Squares Regression Line of the new engine design performance

The LSRL is: y = 11.6559 + 3.47812x The predicted top speed when the weight is 100 tons is 359.4679

How to determine the LSRL?

This is the equation of the Least Squares Regression Line.

From the calculation summary, we have the following parameters:

Coefficient of constant = 11.6559Coefficient of Weight = 3.47812

So, the LSRL is:

y = 11.6559 + 3.47812x

Where y represents the predicted volume and x represents the weight.

The predicted value when the weight is 100 tons

In (a), we have:

y = 11.6559 + 3.47812x

Substitute 100 for x

y = 11.6559 + 3.47812 * 100

Evaluate

y = 359.4679

Hence, the predicted top speed when the weight is 100 tons is 359.4679

Read more about Least Squares Regression Line at:

https://brainly.com/question/24848242

A firm pays ​$52 for a car seat and wants a 34​% markup for operating expenses as well as a 6​% markup for profit.​ However, customers think the car seats are​ ugly, so they are not selling. Management reduces the price of each car seat by ​$25 to get rid of them.
Find ​(a) the selling​ price,
​(b) the reduced​ price,
​(c) the percent of​ markdown,
and ​(d) any operating or absolute loss.

Answers

Answer:

See below

Step-by-step explanation:

Initial cost = $52

Markup for operting expences = 34%

$52 + 34% = $52*1.34 = $69.68

Markup for profit = 6%

69.68 + 6% = 69.68*1.06 = 73.86 (rounded)

a) The selling price is $73.86

b) The reduced price is:

$73.86 - $25 = $48.86

c) The percent of markdown:

25/73.86*100% = 33.85% (rounded)

d) The absolute loss:

$69.68 - $48.86 = $20.82

What is the volume of the prism? __ in.³.

Answers

Answer:

volume is 20^3 inches i hope i helped

(mark brainliest)

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