verify/prove the following trigonometric identity:
cos (x)/sec (x) + sin (x)/csc (x) = sec^2 (x) − tan^2 (x)

Answer:

A ≈ 81.487 in²

Step-by-step explanation:

We know that circumference is C = 2πr, where r is the radius.

So,

C = 2πr

32 = 2(3.14)r

[tex]r=\frac{32}{2(3.14)}[/tex]

r ≈ 5.093 in

We also know that the formula for the area of a circle is A = πr², so:

A = πr²

A = (3.14)(5.093)²

A ≈ 81.487 in²

Answer:

[tex] \sqrt{66 \times 66} = 66[/tex]

Answer:

66 is the exact value of the expression

Step-by-step explanation:

Answer:

I know that the angle is 57

Step-by-step explanation:

Answer:

The answer is 165

Step-by-step explanation:

If I'm wrong I'm sorry

Answer:

250°

Step-by-step explanation:

Answer:

250

Step-by-step explanation:

I did it

Answer:

[tex]b = 6[/tex]

Step-by-step explanation:

Given

[tex]0<b\le 90[/tex]

[tex]\cos(11b + 2) = \sin(12b - 4)[/tex]

Required

Find b

To solve this, we make use of the following trigonometry rule:

If [tex]\cos(\alpha) = \sin(\beta)[/tex]

Then: [tex]\alpha + \beta = 90[/tex]

So:

[tex]11b + 2 = 12b - 4[/tex]

Collect like terms

[tex]11b - 12b = - 4 - 2[/tex]

[tex]-b = - 6[/tex]

Multiply both sides by -1

[tex]b = 6[/tex]

Answer:

Yes you are right it is option 4

Step-by-step explanation:

Answer:

Option 4

Step-by-step explanation:

By it has to be greater than 4 so it would be above it

Answer:

C) 76 cm²

Step-by-step explanation:

area = (8 x 8 ) + (3 x 8 x 0.5) = 76 cm²

another way is:

area = 1/2(b1 + b2)(h)

area = 1/2(11 + 8)(8) = 76 cm²

Answer:

76

Step-by-step explanation:

Hello There!

The area can be found by using this formula

[tex]A=\frac{a+b}{2} h[/tex]

where a and b = bases and h = height

we need to find the height before we can find the area

the shape was split into a triangle and a square

because its a square and one of the side lengths is equal to 8cm the height will be equal to 8cm

now we plug in the known information into the formula

[tex]A=\frac{11+8}{2} 8\\11+8=19\\\frac{19}{2} =8.5\\8.5*8=76\\A=76[/tex]

so we can conclude that the area of the trapezoid is 76 square centimeters

Complete question :

A newspaper report claims that 30% of all tea-drinkers prefer green tea to black tea. Dr. Huber is the office manager at a company with thousands of employees. He wonders if the newspaper's claim holds true at his company. To find out, Dr. Huber asks a simple random sample of 125 tea-drinking employees which the prefer: green tea of black tea. Here's Dr. Huber's null hypothesis: H_0 : The proportion of all tea-drinkers at the company that prefer green tea to black tea is...

What is an appropriate way for Dr. Huber to finish his null hypothesis?

A. ...equal to 30%

B. ...less than 30%

C. ...greater than 30%

D. ...not equal to 30%

Answer:

A. ...equal to 30%

Step-by-step explanation:

Given the incomplete hypothesis statement for the Null ;

The null hypothesis: H_0 is declared as : The proportion of all tea-drinkers at the company that prefer green tea to black tea equal 30

The alternative hypothesis on the other side is the opposite statement or hypothesis.

Answer:

1. 1=18°, 2=90°

2. 1=85°

3. 1=97°

4. 2=83°

5. 3=49°

6. 1=94°

7. 4=45°

8. 3=65°

9. 2=79°

10. 5=73°

11. 6=147°

12. 1=26°

13. 2=32°

Step-by-step explanation:

1. all angles of a triangle equal 180. 2 is 90 degrees because you can look across to find the symbol. Then you subtract 180 by 72 and 90 to get 18.

2. do the same thing as last time, 180 minus 40 and 55.

3. In order to figure this out, you need to have the angle 2. One you have 83, angles like this, together will add up to 360 if you put 2 of them together. 83×2=166. 360-166=194. 194/2=97.

4. To figure this out, you find the angle across from it because those are always the same. Follow the same process to subtract 39 and 58 from 180 to get 83.

5.Now that you have the angle 2 you can figure this one out as well, again, follow the process of subtracting the two opposite angles from 180 to get 49.

(This is taking really long to explain so if you have questions just ask.)

Answer:

2 1/2 miles

Step-by-step explanation:

my teacher

Answer:

Step-by-step explanation:

The sum of the interior angles of a 14-gon = (14-2)*180 = 2160 degrees. There are 14 vertexes (vertices) for a 14-gon. It is 'regular' so all these angles are equal. 2160/14 = 154.285 degrees

hope it helps :)

Step-by-step explanation:

let angle be x

Step-by-step explanation:

relationship between perpendicular and hypotenuse is given by sin angle

sin x =p/h

sin x=13/26

x=sin-¹(13/26)=30°

2.relationship between perpendicular and base is given by tan angle

tan x =p/b

tan x =7/16

x=tan -¹(7/16)=23.63°

3.relationship between between perpendicular and base is given by tan angle

tan x =p/b

tanx=31/50

x=tan-¹(31/50)=31.8°

4.relationship between base and hypotenuse is given by cos angle

cos x =b/h

cos x=5/7

x=cos-1(5/7)=44.4°

5.relationship between perpendicular and hypotenuse is given by sin angle

sin x =p/h

sin x=4/14

x=sin-¹(4/14)=16.6

6..relationship between base and hypotenuse is given by cos angle

cos x=6/7

x=cos-¹(6/7)=31.0027

7.relationship between perpendicular and base is given by tan angle

.tanx=29/37

x=tan-¹(29/37)=38.09

8.relationship between perpendicular and hypotenuse is given by sin angle

.sin x=43/60

x=sin-¹(43/60)=45.78

9..relationship between base and hypotenuse is given by cos angle

cos x=32/44

x=cos-¹(32/44)=43.34

Answer:

Znhh

dlph is go pp pap iz clicker party calls X appraisal stock

Step-by-step explanation:

Answer:

log 7

Step-by-step explanation:

Using the rules of logarithms

log x + log y ⇔ log (xy )

log x - log y ⇔ log ([tex]\frac{x}{y}[/tex] )

Given

log[tex]\frac{14}{3}[/tex] + log[tex]\frac{11}{5}[/tex] - log[tex]\frac{22}{15}[/tex]

= log ([tex]\frac{14}{3}[/tex] × [tex]\frac{11}{5}[/tex] ) - log[tex]\frac{22}{15}[/tex]

= log ([tex]\frac{154}{15}[/tex] ) - log[tex]\frac{22}{15}[/tex]

= log ( [tex]\frac{154}{15}[/tex] ÷ [tex]\frac{22}{15}[/tex] )

= log ([tex]\frac{154}{15}[/tex] × [tex]\frac{15}{22}[/tex] )

= log[tex]\frac{154}{22}[/tex]

= log 7

Answer:

9

Step-by-step explanation:

Answer:

there are nine teachers

Step-by-step explanation:

Answer:

620

Step-by-step explanation:

other dood is wrong lol i did the math and took the test AND got it right

The lateral surface area of the triangular prism is 480 square cm,

option (B) is correct.

It is given that the triangular prism has a 10 cm height and its sides are 16 cm, 12 cm, and 20 cm respectively.

It is required to find the lateral surface area.

It is defined as the surface area of an object excluding its top and base areas, it is different from the total area.

We know that,

The lateral surface area of triangular prism = perimeter of the      

                                                                              base×height                                                                      

                                                                        = (a + b + c ) × h

We have, a = 16, b = 20 cm, c = 12 cm, and h =10 cm.

Putting these values in the above formula, we get:

[tex]\rm = (16+20+12) \times10\\\\\rm = 48\times 10\\\\\rm = 480 \ cm^2[/tex]

Thus, the lateral surface area of the triangular prism is 480 square cm,

option (B) is correct.

Learn more about the lateral surface area here:

https://brainly.com/question/14001755

Answer:

8 3/4

Step-by-step explanation:

There are 5 jobs that required less than 2 1/2 gallons.

For the equation, you'll just be adding all these up

1 1/2 + 1 1/2 + 1 3/4 + 2 + 2

Which will give you 8 3/4

Answer:

56.7

Step-by-step explanation:

Hello There!

Trigonometric Ratios

sin = opposite divided by hypotenuse

cos = adjacent divided by hypotenuse

tan = opposite divided by adjacent

we need to find x and we are given its opposite side length and the hypotenuse

so the trigonometric ratio we need to use is sin

knowing that sin = opposite side divided by hypotenuse we create an equation

[tex]sin(x)=\frac{51}{61}\\\frac{51}{61} = .8360655738\\arcsin(sinX)=x\\arcsin(.8360655738)=56.72695659[/tex]

our final step is to round to the nearest tenth of a degree

so we can conclude that the measure of angle A is 56.7

note: arcsin = inverse of sin

Answer:

56.7

Step-by-step explanation:

Answer:

A) 80 degrees

Step-by-step explanation:

100-20=80

Answer:

The height is 3.625ft.

Step-by-step explanation:

0.5x8xa=14.5

4a=14.5

a=14.5/4=3.625

Answer: 8 ft

Step-by-step explanation: Well since Meredith is 5 ft you will add 3 ft because she is 3 ft shorter than Tucker and we are talking about Tucker's height. If you add 3 ft then you would get 8 ft.

Answer:

Tucker is 8 feet tall.

Step-by-step explanation:

if she's 3 feet shorter then just add 3 feet to her normal height.

Answer:

Yes you could afford it

Step-by-step explanation:

Answer

yes.

Step-by-step explanation:

45% of the 500 dollar price comes down to $225, and with your $300, you can afford it.

Answer:

$5,024

Step-by-step explanation:

Answer

A ratio obtained by multiplying or dividing the numerator and denominator of a given ratio by the same number is called an equivalent ratios.

Hope this helps you ;]

Step-by-step explanation:

Answer:

best song in the world is baby Shark

Answer:

Thats incorrect. 684+270=954. 654+ would be saying a number thats 654 or higher. But not stating the real total.

Step-by-step explanation:

Hope this helped!! :)