Solve without using a calculator:

sin²20° + sec²20°

Answers

Answer 1

Step-by-step explanation:

sin

2

(

20

°

)

+

sec

2

(

20

°

)

Simplify each term.

Tap for fewer steps...

Rewrite

sec

(

20

°

)

in terms of sines and cosines.

sin

2

(

20

°

)

+

(

1

cos

(

20

°

)

)

2

Apply the product rule to

1

cos

(

20

°

)

.

sin

2

(

20

°

)

+

1

2

cos

2

(

20

°

)

One to any power is one.

sin

2

(

20

°

)

+

1

cos

2

(

20

°

)

Simplify each term.

Tap for fewer steps...

Rewrite

1

as

1

2

.

sin

2

(

20

°

)

+

1

2

cos

2

(

20

°

)

Rewrite

1

2

cos

2

(

20

°

)

as

(

1

cos

(

20

°

)

)

2

.

sin

2

(

20

°

)

+

(

1

cos

(

20

°

)

)

2

Convert from

1

cos

(

20

°

)

to

sec

(

20

°

)

.

sin

2

(

20

°

)

+

sec

2

(

20

°

)

The result can be shown in multiple forms.

Exact Form:

sin

2

(

20

°

)

+

sec

2

(

20

°

)

Decimal Form:

1.24945210


Related Questions

What is the value of c in the equation x^15/x^c =x^6

Answers

Step-by-step explanation:

[tex] \frac{ {x}^{15} }{ {x}^{c} } = { x}^{6} \\ {x}^{15 - c} = {x}^{6} [/tex]

15 - c = 6

15 - 6 = c

9 = c

c = 9


Find the distance AB. Give your answers correct to 1 decimal place

Answers

Answer:

AB= 8.1

AB=7.8

Step-by-step explanation:

[tex]ab = \sqrt{ {(8 - 1)}^{2} + {(6 - 2)}^{2} } [/tex]

[tex] = \sqrt{ {7}^{2} + {4}^{2} } = \sqrt{49 + 16} [/tex]

[tex] = \sqrt{65} = 8.1[/tex]

[tex]ab = \sqrt{ {(6 - 1)}^{2} + {(2 - 8)}^{2} } [/tex]

[tex]= \sqrt{ {5}^{2} + { ( - 6)}^{2} } = \sqrt{25 + 36} [/tex]

[tex] = \sqrt{61} = 7.8[/tex]

PLEASE HURRY!! What is the slope of the line that passes through the points (-1, 2) and (-4, 3)?

Answers

Answer:

the slope = -⅓          

                     

                     

                                                                                                                                                                     

The slope of the line (-1,2) and (-4,3) should be m= -1/3

find the exact trig value [tex]cos(11\pi /6)[/tex]

Answers


Hopes this helps sorry I it’s wrong

What is the nth term rule of the quadratic sequence below?
8
,
14
,
22
,
32
,
44
,
58
,
74
,
.
.
.

Answers

8=92
,10=134
‘9=i don’t know about this one

If 7 buses can transport 280 persons how many persons can be carried by 12 buses

Answers

Step-by-step explanation:

672 I'm pretty sure cus yea oop-

Answer:

480

Step-by-step explanation:

280/7 = 40

40x12 = 480

HELP PLEASE THIS IS HARD!!!

Solve and check
6x - 5x + 7x = 34

Answers

Answer:

Step-by-step explanation:

6x-5x+7x=34

x+7x=34

8x=34

x=[tex]\frac{34}{8}[/tex]

Answer:

X= 5 2/3

Step-by-step explanation:

Combine Like terms

6x=34

Inverse Operation

x=35/6

Simplify

X=5 2/3

help me for brainlist

Answers

Answer:

its c 14

Step-by-step explanation: because 16x30=480 subract that from the total then mutiply it again and thats your answer

Hopefully this can help

Answer:

h = 14 in

Step-by-step explanation:

Volume = length • width • height

6,720 = 30 • 16 • h                    combine like terms by multiplying 30 and 16

6,720 = 480h                            divide both sides by 480

h = 14 in

Please help! Tysmm :))

Answers

118
..........................

A coffee table is on sale for 20% off the original price of $115.
If there is 7.5% sales tax, what is the final price of the coffee table?

Answers

The answer would be $98.90

Answer:

The answer would be around $98.90                                                              

can someone answer this asap :))

^^ all i need is the second one shown in the picture, you don’t have to do #1 :)

also can u please show everything step by step so i can understand? thank you!

Answers

for graphing make sure to shade the right portion and to make the line dotted like (— — — —)
the red is y>8x-4, the blue is y>-1/2x+1/2

2x-.25y < 1 is equal to 2x-1/4y < 1
multiply each side by 4:
8x-y < 4
add y to each side:
8x < 4+y
subtract 4 from each side:
8x-4 < y
rewrite:
y > 8x-4

4x+8y > 4
divide both sides by 8:
1/2x+y > 1/2
subtract -1/2x from each side:
y > -1/2x + 1/2

these two triangles are similar. find the missing length.

Answers

so if we go by fractions, you could say that 6 cm is 6/10ths or 3/5ths so 3/5ths of 25 is 15, for questions like this, when you do something to one part you have to do it to both. hope this helps

An airplane flies at a constant speed of 760 miles per hour. How long will it take to travel a distance of 3040 miles?

Answers

Answer:

760x=3040, 3040/760=4

answer=4

Step-by-step explanation:

Graph the line that passes through the points (1,-9) and (1,-3) and determine the equation of the line

Answers

Answer:

x = 1

Step-by-step explanation:

Note that the x-coordinates of the two given points are identical.  This tells us immediately that the line is a vertical one whose slope is undefined.

The equation of this line is x = 1.

You deposit $1,000 Into a bank account. The account pays 3.75% annual Interest compounded monthly. Find the balance after 6 years. Round answers to two decimal places

Answers

Is my calculations are correct the answer would be 498.125

OMG I REALLY NEED SOME HELP! THIS IS DUE IN 3 MINUTES!

Answers

Step-by-step explanation:

8) all real numbers.

10)

[tex]y = a {b}^{x} \\ 12 \div 4 = 3 \\ b = 3 \\ a = 4 \\ y = 4 \times {3}^{x} [/tex]

2x + 5y = -24
3x - 5y = 14
Solve by elimination
y and x

Answers

Answer:

x = -2

y = -4

Step-by-step explanation:

The way systems of equations  work is that you have to substitute to solve for a variable *(only one of the 2 ways to figure this out)*

so, we will use addition property of equality in a form to add the two equations together, since +5y and -5y added together will cancel out.

that would leave

5x = -10

divide both sides by 5

x = -2

Now that we know x = -2, we can plug in -2 into one of the equations to find y.

2 ( -2)  + 5y = -24

-4 + 5y = -24

-4 + 4 + 5y = -24 + 4

5y = -20

y = -4

x = -2

y = -4

At Smith's Sporting Goods,3 out of every 10 customers make a purchase. Write a ratio to compare the number of customers who make a purchase to the number of customers who do not make a purchase.

Answers

Answer:

30

Step-by-step explanation:

because 3×10 is 30 and so 3 out of 10 is 30

2.5 × 30 = ___________ tenths × 30 = ______

Answers

2.5x30=75

0.10(tenth) - x 30 = 3

Please help me, with the last algebra questions I have. And just to note,
a= 2, b= 3, and c=4.

*25 points, + brainiest.*
*Algebra question.*

Answers

Answer:

5 is 14

6 is 10

7 i cant really see it well but i believe is is -4

Step-by-step explanation:

Answer:

Solve for the missing components of the triangle.

A

=

28.95502437

B

=

46.56746344

C

=

104.47751218

a

=

2

b

=

3

c

=

4

Step-by-step explanation:

The difference between six times a
number and one is seventeen

Answers

Answer: 6x-1=7 (the difference means substract ion between 6 times a number, which is x, equals 7)

How would you define y-intercept?

Answers

Answer:

The y -intercept is a point of a graph. The y -intercept is  of a graph is the point where the graph crosses the y -axis. The y -intercept is often referred to with just the y -value.

Can somebody help me?? pleasee

Answers

Answer: the nswer is

Step-by-step explanation:

Answer:

9/15

Step-by-step explanation:

Can y'all help me with this

Answers

Answer:16Hope this helps!! ♥︎

5. Consider the image below of a pasture at McDonald's Farm.
750 ft
45°
Part A: If McDonald wants to fence in the square pasture and barbed-wire
fencing costs $1.15 per foot, then determine the cost to fence in
the pasture.
Part B: If McDonald wants to cover the square pasture in fertilizer, then he
needs to determine the area of the pasture. What is the area of
the pasture to the nearest hundredth?

Answers

Answer:

Step-by-step explanation:

The area of the square pasture is given by the leg length of the right

triangle which is the same as the side length of the square.

Correct responses:

Part A: $2,439.5Part B: 281, 250 ft.²Method by which the above responses are obtained

Part A

The given triangular side is a right triangle.

Length of the hypotenuse and an acute angle of the right triangle are;

750 ft. and 45°

Therefore;

Leg length of the right triangle = Side length of the square

Leg length of the right triangle = 750 ft. × sin(45°) = 375·√2 ft.

Side length of the square pasture, s = 375·√2 ft.

Perimeter of the fence = 4 × 375·√2 ft. = 1500·√2 ft.

Cost per foot for fencing = $1.15

The cost to fence the square pasture = $1.15/ft. × 1,500·√2 ft. ≈ $2,439.5

Part B:

The area, A, of the square pasture is given by A =

Which gives;

A = (375·√2)² = 281,250

The area of the square pasture is A = 281,250 ft.²

Learn more about trigonometric ratios here:

https://brainly.com/question/1757727

https://brainly.com/question/13998756

Help meee 50 points explain ALL OF IT if you really do it ill give you 200 points pls

Answers

Answer:

Explain what there is no picture

Step-by-step explanation:

Hai!

1. He is Considering 3 Themes: Space, Safari, and Comics.

2. He is Considering 2 Places: Skating rink and the Park.

3. He is Considering 3 Days of the week: Friday, Saturday, and Sunday.

4. EXAMPLE 1 One possibility is that Noah is considering is a party with a Safari Theme at the park on Friday EXAMPLE 2 One possibility is that Noah is considering is a party with a Comics Theme at the park on Saturday

5. There is 21 Possible Outcomes

Hope I helped. Best of luck! :3

What are the coordinates of the point?

Answers

Answer:

(6,-4)

Step-by-step explanation:

Answer:

(6,-4)

Step-by-step explanation:

What is the circumference of a circle with a radius of 86 inches? use 3.14 for PI​

Answers

Step-by-step explanation:

[tex]circumference = 2\pi\: r \: \\ = 2 \times 3.14 \times 86 \\ = 540.08[/tex]

Answer:

540.08

Step-by-step explanation:

Which table matches the equation y=5x+2
A.
X -3, 2, 7
Y -1, 0, 1
B.
X 0, 1, -1
Y -2, -3, 7
C.
X -2, -1, 0
Y 10, -5, 0
D.
X -1, 0, 1
Y -3, 2, 7

Answers

The answer is choice D.

what is the slope of graph Pls Help

Answers

Answer:

The slope is 1/2

i believe

Step-by-step explanation:

Use the rise/run method

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