Give the exact value of the trigonometric function.

sec([tex]\frac{\pi }{2}[/tex])
A. 1
B. -1
C. 0
D. undefined

Please explain your answer, thank you! I'll give brainliest.

Answers

Answer 1

Answer:

D) undefined

Step-by-step explanation:

we would like to simplify the following

[tex] \displaystyle \sec \left( \frac{\pi}{2} \right) [/tex]

remember that, sec is the recipocal of cos

so,

[tex] \displaystyle \frac{1}{\cos \left( \frac{\pi}{2} \right) }[/tex]

by unit circle we acquire

[tex] \displaystyle \frac{1}{0}[/tex]

remember that, dividing by 0 is undefined

hence,

[tex] \displaystyle \sec \left( \frac{\pi}{2} \right) =\rm undefined [/tex]

Give The Exact Value Of The Trigonometric Function.sec([tex]\frac{\pi }{2}[/tex])A. 1B. -1C. 0D. UndefinedPlease

Related Questions

HELP ME. I need help ASAP. I need it fast pls

Answers

Step-by-step explanation:

to find slant height.

l²=(a/2)²+h²l²=2.25+36l=√38.25l=6.18

total surface of square base pyramid =a²+2al

2.25+2×1.5+6.1811.43 cm²

hope it helps.

stay safe healthy and happy.

Look at the parallelogram pictured in Figure 1. What is the area of the
parallelogram?


Answers

Answer:

45m²

Step-by-step explanation:

=> Area = base × height

=> A = 5m × 9m

=> A = 45m²

y = kx
In the equation, what does "k" represent?

Answers

Answer: it’s the number that stays the same

Step-by-step explanation: ex. y = 24(6x)

Answer: K is the constant.

PLEASE HELP...FAST :)!!
You are playing a game similar to shuffleboard, where you need to slide a puck into the light gray area of the board in order to score points. The board is surrounded by wood boards that keep the puck in the playing surface. An image of the board and its dimensions are shown below.


What is the probability that you slide the puck into the light gray area? Your answer may be written as a fraction or a decimal


The probability is ________________

Answers

The probability that one can slide the puck into the light gray area will be 0.72.

How to calculate the probability?

From the information given, the board is surrounded by wood boards that keep the puck in the playing surface.

In this case, the probability that you slide the puck into the light gray area will be:

= 4feet/(4 feet + 1.5 feet)

= 4/5.5

= 0.72

Learn more about probability on:

https://brainly.com/question/24756209

#SPJ2

A rep hockey team has two goalies. Goalie A has a save percentage of 0.92 and Goalie B has a save percentage of 0.89. If goalie A plays 75 percent of the games and goalie B plays 25 percent of the games then: a) Determine the probability that a save has been made by either goalie A or goalie B. b) If a save has been made, what is the probability that is was goalie A? c) If a goal was let in, what is the probability it was goalie B?

Answers

Answer:

a) 0.9125

b) 0.756

c) 0.314

Step-by-step explanation:

The save percentage of Goalie A = 0.92

The save percentage of Goalie B = 0.89

The percentage of the games Goalie A plays = 75 percent

The percentage of the games Goalie B plays = 25 percent

a) The probability that a save has been made by either Goalie A or Goalie B

Therefore we get;

The probability that Goalie A made a save, P(A) = 0.92 × 0.75 = 0.69

The probability that Goalie B made a save, P(B) = 0.89 × 0.25 = 0.2225

For mutually exclusive events, we have;

P(A) or P(B)  = P(A) + P(B)

∴ P(A) or P(B) = 0.69 + 0.2225 = 0.9125

The probability that a save has been made by either Goalie A or Goalie B, P(A) or P(B) = 0.9125

b) Where there are 10,000 attempts, made evenly in all games, we have;

The number of attempts made with Goalie A playing = 10,000 × 0.75 = 7,500

The number of saves Goalie A makes = 0.92 × 7,500 = 6,900

The number of saves for 10,000 attempt = (P(A) or P(B)) × 10,000 = 0.9125 × 10,000

The number of saves for 10,000 attempt = 9,125

∴ The probability that Goalie A saves = 6,900/9,125 ≈ 0.756

c) Out of the 2,500 attempts at Goalie B, the number of goals let in is given as follows;

P(Goal B) = 2,500 - 2,500 × 0.89 = 275

The number of goals let in by Goalie A, we have;

P(Goal A) = 7,500 - 7,500 × 0.92 = 600

Therefore, the total number of goals let in = 300 + 275 = 875

The probability that the goals was let in by Goalie B = 275/875 = 11/35 ≈ 0.314.

Find the missing exponent: p^2 ∙ p^3 ∙p^? = p^9

Answers

Answer:

34

Step-by-step explanation:

Meliah wants to make a gallon of punch. She uses 2 quarts of orange juice, 1 cup of lemon juice, and 2 1/2 pints of pineapple juice. How many cups of water should she add to make 1 gallon?

Answers

Answer:

2 cups of water

Step-by-step explanation:

Meliah wants to make a gallon of punch.

Note that

1 gallons = 16 cups

For Orange juice

She uses 2 quarts of orange juice,

1 quart = 4 cups

2 quarts = x

Cross Mulitiply

2 × 4 cups = 8 cups

For lemon juice

1 cup of lemon juice

For pineapple juice

2 1/2 pints of pineapple juice.

1 pint = 2 cups

2 1/2 pints = x

Cross Mulitiply

2 1/2 × 2 cups = 5 cups

Total number of cups

= 8 cups orange juice + 1 cup lemon juice + 5 cups of pineapple juice

= 14 cups

Hence, the number of cups of water she should add to make 1 gallon is calculated as:

16 cups - 14 cups

= 2 cups of water

Norma makes bags.
She makes 17 bags an hour.
Norma works for 6 hours each day, 5 days a week.
Each bag is checked.
If the bag is perfect, it is put in a box.
When there are 12 bags in a box it is full.
One week 90% of the bags Norma made were perfect.
Work out the number of boxes completely filled with bags made by Norma.

Answers

Answer:

38

Step-by-step explanation:

She makes 17 bags an hour. Multiply 17 bags by each hour. Additionally, multiply that by 5 for each day worked. The total number is 510.

Out of 510 bags made in that week, only 90% are perfect. 90% of 510 is 459.

If there are 459 bags, and each box can hold 12, how many boxes will be full?  Keep adding bags into boxes until you reach 0 bags. The equation you'll want is 459/12.

38 boxes will be full, with 3 remainder bags.

What is 5x-3 equal to

Answers

Answer:

-15

Step-by-step explanation:

Answer:

-15 hdbdudbdjsbakznzbzjzbzbz

Mr. Jones surveyed his class to find out how many students feel that Math is their favorite subject. Based on these results, how many students would say that Math is their favorite subject if he asked all 150 students in the 6th grade class.​

Answers

Answer:

im not sure

Step-by-step explanation:

I remember doing this but i forget

WILL GIVE THANKS, BRAINIEST, AND 5 STARS! PLEASE HELP!

Answers

Answer:

30

Step-by-step explanation:

C(n) = 5n, 0 ≤ n ≤10       You would use this formula because 6 is greater than 0 but less than 10.

C(n) = 5n, 0 ≤ n ≤10  ←   You can just ignore the 0≤ n ≤10 part.

C(6) = 5(6)                       Input the value 6 as x.

C(6) = 30

The answer is that 6 shirts costs 30 dollars.

Find an equation of the circle that has center (-2, 6) and passes through (-6, 1).

Answers

Answer:

(x+2)^2 + (y-6)^2 = 41

Step-by-step explanation:

The equation for a circle is (x-h)^2+(y-k)^2=r^2

So first, it is known that the circle's center is at (-2,6), Therefore, this can be filled in:

(x+2)^2+(y-6)^2=r^2

Next, we need to find the radius, and one of the points is already known, being (-6, 1)

With this, find the distance between these two points by doing the Pythagorean Theorem, a^2+b^2=c^2. The a^2 would be the x value changed and the b^2 would be the y value changed between the two numbers. Note that this is interchangeable.

To find a:

-2 to -6 = change of 4

To find b:

6 to 1 = change of 5

Next, write out the equation for this:

4^2+5^2=c^2

16+25=c^2

41=c^2

c = √41

The radius would be √41, so the equation can now be completed. Since c will be brought to the second power, this will cancel out the square root.

(x+2)^2 + (y-6)^2 = 41

Hope that helps.

need help on question 26

Answers

Answer:

y = 2x - 3.

Step-by-step explanation:

26, The slope is 2 and y-intercept is -3

help me with this math question please I'm giving away brainliests​

Answers

Answer:

orangeeeeeee

Step-by-step explanation:

Whats 1/7 + 3/4 ?
Please help me?

Answers

Answer:

25/28

Step-by-step explanation:

28 is the greatest common factor, found by multiplying 7 by 4 (the denominators)

1/7 = 4/28

3/4 = 21/28

21/28 + 4/28 = 25/28

An Brainly Question:

Whats 1/7 + 3/4 ?

Answer:

25/28

Step-by-step explanation:

Can you add yet? Nope! The denominators don't match. We need a common denominator. So next we take both denominators and multiply them. Next, take each numerator and multiply it by the denominator of the other term.

So, we multiply 1 by 4, and get 4, then we multiply 7 by 4 and get 28.

Let's add

1

7

+

3

4

Step 1

Can you add yet? Nope! The denominators don't match. We need a common denominator. So next we take both denominators and multiply them. Next, take each numerator and multiply it by the denominator of the other term.

So, we multiply 1 by 4, and get 4, then we multiply 7 by 4 and get 28.

1/7 times 4

Now for the second term. You multiply 3 by 7, and get 21, then multiply 7 by 4 and get 28.

3/4 times 7

We now have a new problem, that looks like this:

4

28

+

21

28

Step 2

Since our denominators match, we can add the numerators.

4 + 21 = 25

That gives us the sum, which is

25

28

Step 3

Now, do we need to simplify this fraction?

First, we attempt to divide it by 2...

Nope! So now we try the next greatest prime number, 3...

Nope! So now we try the next greatest prime number, 5...

Nope! So now we try the next greatest prime number, 7...

Nope! So now we try the next greatest prime number, 11...

Nope! So now we try the next greatest prime number, 13...

Nope! So now we try the next greatest prime number, 17...

Nope! So now we try the next greatest prime number, 19...

Nope! So now we try the next greatest prime number, 23...

Nope! So now we try the next greatest prime number, 29...

No good. 29 is larger than 25. So we're done reducing.

There you have it! Here's the final answer to 1/7 + 3/4

1

7

+

3

4

=

25

28

You ARE SUPPOSED TO BE IN BRAINLY.IN FOR 5th Grade and LESS

What does b represent in y=mx+b

Answers

Answer:

the y-intercept

Step-by-step explanation:

The y-intercept is where the line cuts the line.

Answer:

y intercept

Step-by-step explanation:

hey! please help i’ll give brainliest

Answers

Answer:

True

Step-by-step explanation:

Adding -ed to a verb will make it a simple past tense verb

Hope this helps :)

Answer:

True

Step-by-step explanation:

it is past tense

Which statement describes graph

Answers

Answer:

Step-by-step explanation:

There are no statements here

please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

Side lengths- LK = 1.56 JK = 2.88

Step-by-step explanation:

Use tan for LK. Tan 26 = x/3.2, x = 1.56 to the nearest hundredth. Use cosine for JK. Cos 26 = x/3.2, x = 2.88 to the nearest hundredth.

Help on Math please and thank you

Answers

Answer:

the value of x to the nearest tenth is 12 * x

Find the circumference of each of the circles described below.
a. Radius of 3 inches
b. Diameter of 27 cm

Answers

Answer:

a) 18.85 or 19

b) 84.82 or 85

Rewrite in simplest terms:

10 (7g - 9h) -4h - 8 (-8 +8g)

Answers

Answer:

=6g + −94h + 64

Step-by-step explanation:

Let's simplify step-by-step.

10(7g−9h)−4h−8(−8+8g)

Distribute:

=(10)(7g)+(10)(−9h)+−4h+(−8)(−8)+(−8)(8g)

=70g+−90h+−4h+64+−64g

Combine Like Terms:

=70g+−90h+−4h+64+−64g

=(70g+−64g)+(−90h+−4h)+(64)

=6g + −94h + 64

Answer:

your answer is 6g-94h+64

Step-by-step explanation:

1. 10 (7g - 9h) -4h - 8 (-8 +8g)

2. 70g-90h-4h+64-64g

3. 6g-94h+64

The shaded cells represent ________.

Question 9 Please Help

Answers

Answer:

Step-by-step explanation:

The third option is correct

Find
[tex] \frac{dy}{dx} [/tex]
if
[tex]y = (x + \sqrt{x} )^{2} [/tex]

Answers

Answer:

[tex]\displaystyle y' = 2x + 3\sqrt{x} + 1[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/CoefficientsAnything to the 0th power is 1Exponential Rule [Rewrite]:                                                                              [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex] Exponential Rule [Root Rewrite]:                                                                     [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]

Calculus

Derivatives

Derivative Notation

Basic Power Rule:

f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹

Derivative Rule [Chain Rule]:                                                                                    [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle y = (x + \sqrt{x})^2[/tex]

Step 2: Differentiate

Chain Rule:                                                                                                        [tex]\displaystyle y' = 2(x + \sqrt{x})^{2 - 1} \cdot \frac{d}{dx}[x + \sqrt{x}][/tex]Rewrite [Exponential Rule - Root Rewrite]:                                                     [tex]\displaystyle y' = 2(x + x^{\frac{1}{2}})^{2 - 1} \cdot \frac{d}{dx}[x + x^{\frac{1}{2}}][/tex]Simplify:                                                                                                             [tex]\displaystyle y' = 2(x + x^{\frac{1}{2}}) \cdot \frac{d}{dx}[x + x^{\frac{1}{2}}][/tex]Basic Power Rule:                                                                                             [tex]\displaystyle y' = 2(x + x^{\frac{1}{2}}) \cdot (1 \cdot x^{1 - 1} + \frac{1}{2}x^{\frac{1}{2} - 1})[/tex]Simplify:                                                                                                             [tex]\displaystyle y' = 2(x + x^{\frac{1}{2}}) \cdot (1 + \frac{1}{2}x^{-\frac{1}{2}})[/tex]Rewrite [Exponential Rule - Rewrite]:                                                              [tex]\displaystyle y' = 2(x + x^{\frac{1}{2}}) \cdot (1 + \frac{1}{2x^{\frac{1}{2}}})[/tex]Multiply:                                                                                                             [tex]\displaystyle y' = 2[(x + x^{\frac{1}{2}}) + \frac{x + x^{\frac{1}{2}}}{2x^{\frac{1}{2}}}][/tex][Brackets] Add:                                                                                                 [tex]\displaystyle y' = 2(\frac{2x + 3x^{\frac{1}{2}} + 1}{2})[/tex]Multiply:                                                                                                             [tex]\displaystyle y' = 2x + 3x^{\frac{1}{2}} + 1[/tex]Rewrite [Exponential Rule - Root Rewrite]:                                                     [tex]\displaystyle y' = 2x + 3\sqrt{x} + 1[/tex]

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Derivatives

Book: College Calculus 10e



¿Cuál es el volumen en pulgadas cúbicas de una esfera cuya circunferencia mide 64 pulgadas?

Answers

Answer:

4445.18 pulgadas cúbicas

Step-by-step explanation:

Paso 1

La fórmula para la circunferencia de una esfera = 2πr

Circunferencia de una esfera = 64 pulgadas

Por eso,

64 = 2πr

Por lo tanto, encontramos r

Dividir ambos lados por 2π

64 / 2π = 2πr / 2π

r = 10.185916358 pulgadas

Radio r = 10.2 pulgadas

Paso 2

Volumen de una esfera

= 4/3 × π × r³

r = 10.2 pulgadas

Por lo tanto, 4/3 × π × (10.2) ³

= 4445.18 pulgadas cúbicas

Por lo tanto, el volumen en pulgadas cúbicas de una esfera = 4445.18 pulgadas cúbicas

does it represent the range, mode, median, or mean

Answers

Answer:

median

Step-by-step explanation:

in a box plot, it does not represent the mean, just so you know.

mode =  largest number.

range =  difference between largest number and smallest number

Charlotte the turtle was born with 4 squares on her shell,
as in the first picture below. When she was 1 year old, 12
new squares appeared around the old squares, as in the
second picture below. Each year, a new group of squares
appeared around the old squares.

Answers

Answer:

Step-by-step explanation:

Solve for y:
y - (-10) = -41

Answers

Answer:

y = -51

Step-by-step explanation:

Apply the - (-a) = a rule.

y + 10 = -41

Subtract 10 from both sides

y + 10 = -41

  -10     -10

y = -51

What is the right answer. PLEASW HELP. URGENT.

Answers

1099 square inches hope this helps

When using the quadratic formula to solve 7x2 – 3x + 2 = 0, which number will be squared as part of the formula?

Answers

Answer:

The value of b will be squared

Step-by-step explanation:

Recall that the quadratic formula is [tex]x=\frac{-b\pm\sqrt{b^{2}-4ac } }{2a}[/tex]

You will see that the only squared coefficient is b.

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