Given that sec0=-37/12, what is the value of cot0, for pi/2<0

Given That Sec0=-37/12, What Is The Value Of Cot0, For Pi/2&lt;0

Answers

Answer 1

Answer:

2nd option

Step-by-step explanation:

Using the identities

tan²θ + 1 = sec²θ

cotθ = [tex]\frac{1}{tan0}[/tex]

Given

secθ = - [tex]\frac{37}{12}[/tex] , then

tan²θ + 1 = (- [tex]\frac{37}{12}[/tex] )² = [tex]\frac{1369}{144}[/tex] ( subtract 1 from both sides )

tan²θ = [tex]\frac{1225}{144}[/tex] ( take the square root of both sides )

Since [tex]\frac{\pi }{2}[/tex] < θ < π and tanθ < 0 , then

tanθ = - [tex]\frac{35}{12}[/tex]

Then

cotθ = [tex]\frac{1}{-\frac{35}{12} }[/tex] = - [tex]\frac{12}{35}[/tex]


Related Questions

What is the distance of -4,-6 and 5,-6?

Answers

Answer:

Step-by-step explanation:

mp (-4,-6) (5,-6)

mp (-4+5/2, -6+-6/2)

mp ( 1/2, -12/2)

mp (0.5, -6)

Given f(x) and g(x) = f(x) + k, use the graph to determine the value of k.
10
9
8
7
g(x)
6
3
f(x)

Answers

Answer:

The answer is

Step-by-step explanation:

f(x) & g(x) = f(x) + k

3•6 & 7•6 = 3•6 + k

18 + 42 = 18k

60 = 18k

What is 5x-7=-10x+8

Answers

answer: x=1
explation: 5(1)-7=-2
-10(1)+8=-2

subtract 5 from both sides -

5x - 7 = -10x + 8

-5 -5

-7 = -15x + 8

subtract 8 from both sides -

-7 = -15x + 8

-8 -8

-15 = -15x

now divide both sides by -15 -

-15/-15 = -15x/-15

The answer: x = 1

(x alone also equals 1)

hope this helps! :)

Help with middle one pls

Answers

Answer:

15 times 3 is equal to45

please help me it's an 8 grade question​

Answers

It’s the third answer choice ✨

can u please help me

Answers

The correct answer should be 50 feet per side. I hope this helped you.

Hello could someone help me ?

Answers

Answer:

None of the above

Step-by-step explanation:

Notice the wording "which of the following statements MUST VE TRUE..."

From the figure, we see that two angles with vertex S are congruent to two angles with vertex at Q.

There is no indication the two angles at S are congruent. There is no indication the two angles at Q are congruent.

We are not told anything about angle measures.

Answer: None of the above

Problem D: PRAMHW Jade's softball team went to the batting cages for practice. Jade hit 28 out of 30 pitches. If she goes back after practice for 100 more pitches, how many would you expect her to hit? Round your answer to the nearest hit​

Answers

Answer:

93

Step-by-step explanation:

Direct proportion.

If 28 out of 30, how many out of 100?

(30*100)/28= 93.3333

how do you solve this and what is the answer?

y-3=5/2(x-3)

Answers

I hope this is right

hola alguien para hablar estoy aburrida y me gustaría hablar con alguien

Answers

Answer:

i know english only

Step-by-step explanation:

sorry but you stupit you not good at englis

A pizza shop charges $5 for a slice of pizza. They cut each whole pizza into 8 slices. They sold 107 pizzas by the slice. How much money did they make?

Answers

Answer:

$4280

Step-by-step explanation:

$5x8= $40

107x$40= $4280

I need help with factoring trinomals.
Please explain how you got the answer.

Answers

9514 1404 393

Answer:

  (x +6)(3x +4)

Step-by-step explanation:

The usual approach to this is to look for factors of the product 3·24 that have a sum of 22.

  72 = 1·72 = 2·36 = 3·24 = 4·18 = 6·12 = 8·9

Sums of these factor pairs are 73, 38, 27, 22, 18, 17.

Now, you can rewrite the expression splitting the middle term into two parts:

  3x² +4x +18x +24

  x(3x +4) +6(3x +4) . . . . . . factor by grouping

  (x +6)(3x +4) . . . . . . . . . . your factored form

_____

Additional comment

I find this method easiest to explain and to do without error. There are various "X" methods in which you write the product at the top (3·24) and the sum at the bottom (22), then fill in the sides with the factors having that product and sum (4, 18). When the leading coefficient is not 1, there are methods added to this that get you to the correct factors.

One such method is to use the leading coefficient inside parentheses: (3x+4)(3x+18) Then divide that product by the leading coefficient:

  (3x +4)(3x +18)/3 = (3x +4)(x +6).

In some cases, each of the binomials needs to be divided by part of the leading coefficient; not the whole thing, as here.

[tex]\\ \sf\Rrightarrow 3x^2+22x+24[/tex]

Use midterm splitation

[tex]\\ \sf\Rrightarrow 3x^2+18x+4x+24[/tex]

Take 3x and 4 common

[tex]\\ \sf\Rrightarrow 3x(x+6)+4(x+6)[/tex]

Simplify

[tex]\\ \sf\Rrightarrow (3x+4)(x+6)[/tex]

Done!

In ΔQRS, q = 9.4 cm, r = 8 cm and ∠S=151°. Find ∠Q, to the nearest 10th of a degree.

Answers

9514 1404 393

Answer:

  15.7°

Step-by-step explanation:

The law of cosines can be used to find side s:

  s² = r² +q² -2rq·cos(S)

  s² = 8² +9.4² -2(8)(9.4)·cos(151°) ≈ 283.903

  s ≈ 16.849

Then the law of sines can be used to find angle Q.

  sin(Q)/q = sin(S)/s

  sin(Q) = (q/s)sin(S)

  Q = arcsin(q/s·sin(S)) = arcsin(9.4/16.849·sin(151°)) ≈ 15.692°

Angle Q is about 15.7°.

PLEASE HELP ME!!!!!!

Answers

its just -1/2 tho or -0.5

PLZZ HELP WILL GIVE BRAINLIEST TO THE ONE THATS FIRST AND HAS THE CORRECT ANSWER

Answers

Answer:

The answer is A, 17/30.

Step-by-step explanation:

1/10+1/3= 13/30

(1) - 13/30 = 17/30.

- If you think that my answer was helpful, give me the brainliest answer!

х

13

14

15

16

у

11

6 1-4

What is the slope

Answers

Answer:

6

Step-by-step explanation:

Hope this helps

what is the answer to 5x + 1 = 3x + 7

Answers

Answer:

x = 3

Step-by-step explanation:

5x+1-1=3x+7-1

5x=3x+7-1

5x=3x+6

5x-3x=3x+6-3x

2x=3x+6-3x

2x = 6

----   ----

2      2

x=3

Answer:

X=3

Step-by-step explanation:

5x+1=3x+7

-1            -1

5x=3x+6

-3x       -3x

2x=6

x=3

The value of q is the ____ intercept of y= ax^2 +q The q value moves the graph ____ units ____or______ and has ______ on the ________of the parabola. The value of q causes a ____ shift of the parabola. The value of q causes a _____ shift of the graph.​

Answers

Answer:

See below

Step-by-step explanation:

Since no drop-downs are given, I'll guess and add the most suitable words for you.

The value of q is the y- intercept of y= ax^2 +q.

The q value moves the graph q units up or down and has (no option, could be shift) on the graph of the parabola.

The value of q causes a vertical shift of the parabola. The value of q causes a vertical shift of the graph.​

what does it mean is x=5 a solution?

Answers

Answer:

it can mean that on a graph where y=0 and x=5 that the line goes through that point or I can just mean in an equation that if y is 0, then x is 5

It means that when we replace x with 5 in a equation we get the answer as 0.

It can be any number

Of the children in Russell's class, 10 have a blue biock and 7 have a green block:4 children have both a blue block and a green block. How many children have a blue black but not a green block​

Answers

Answer:

10 have blue 7 have green blocks and 4 have a blue and green block. but only 10 have just a blue block

Which number equals 3/4 to the power of negative 2?

Answers

Hi,

I just worked it out and got 16/9

Hope this helps !
16/9
-4*-4=16
-3*-3=9
This should be correct

Identify a transformation of the function ƒ(x) = x2 by observing the equation of the function g(x) = (x + 80)2.

Answers

Answer:

Horizontal translation left 80 units

Step-by-step explanation:

f(x) -> f(x+80) -> (x,y) -> (x-80, y)

find the distance between each pair of point. Round to the nearest hundredth(-8, -2) and (6, -1)

Answers

Answer:

the square root of 197

Step-by-step explanation:

delta x=14

delta y=1

therefore with the Pythagorean theorem, the hypotenuse/distance is the square root of 197

solve 4x^3 + 10 when x = -3

Answers

Answer:

[tex]4 \times {( - 3)}^{3} + 10 = 4 \times ( - 27) + 10 = - 108 + 10 = - 98[/tex]

The correct answer would be -98

Plz help! A B C or D​

Answers

Answer:

d thats the answer i think

Y = 1/3x + b
Plug in the point to find b (y int.)
0 = 1/3(-6) + b
0 = -2 + b
b = 2
Solution: y = 1/3x + 2

A market research firm is studying the effects of price and type of packaging on sales of a particular product. Twenty-seven stores with shoppers of similar characteristics will be used in the study. The nine combinations of three price levels and three packaging types are the treatments of interest. Total sales of the product over a seven-week period will be recorded. Which of the following describes the best design to use for the study?

a. А A completely randomized design Randomly assign the nine combinations of price level and packaging type that three stores use each combination
b. A completely randomized design. Randomly assign the three price levels so that nine stores use each price level
c. A completely randomized design. Randomly assign the three packaging types so that nine stores use each type of packaging
d. A randomized block design Use packaging as a block. Randomly assign the nine combinations of three price levels and three packaging types so that three stores use each combination
e. A randomized block design. Use packaging as a block Randomly assign nine stores to each packaging type, then randomly assign price level to three stores within each block.

Answers

The market research can increase the precision of the result of the study by  

using a randomized block design RBD

The best design the market research company should use for the study is

d. A randomized block design Use packaging as a block. Randomly assign

the nine combinations of three price levels and three packaging types so

that three stores use each combination

Reason:

The given parameters are;

The study = The effect of price and type of packaging

Number of stores in the study = 27 stores

Characteristics of the shoppers in the stores = Similar

Number of packaging type = 3 (three)

Number of price levels = 3 (three)

The number of pair combinations = ⁶₂C - (3, pairs of the same packaging +

3, pairs of the same prices) = 9

Required:

The best design to use for the study

Solution:

Given that the shoppers at each store are similar, in order to differentiate

and show the effect of the price and package combination, it is possible to

group the treatment into groups having a particular characteristics, while

ensuring that the other available treatments are assigned to each member

within a group at least once.

The above design of the study is known as a randomized block design,

therefore;

The correct option is d. A randomized block design Use packaging as a

block. Randomly assign the nine combinations of three price levels and

three packaging types so that three stores use each combinations.

Learn more here:

https://brainly.com/question/15712468

when multiplying 32 and 12 how many partial products will there be​

Answers

Answer:

12

Step-by-step explanation:

32*12  

twelve is the amount of products there will be

Multiplication is the process of multiplying. When multiplying 32 and 12, the number of partial products will there be​ 4.

What is multiplication?

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

The partial product technique is multiplying each digit of a number in turn with each digit of another, with each digit remaining in its original position.

The multiplication of the two given term 32 and 12 can be done as,

32 × 12

= (30 + 2) × (10 + 2)

= (30×10) + (30×2) + (2×10) + (2×2) {This are the partial products}

Hence, when multiplying 32 and 12, the number of partial products will there be​ 4.

Learn more about Multiplication here:

https://brainly.com/question/14059007

#SPJ2

Need the answer for numbers 4,8,and 12
Here’s the answers they could be!
There’s 4 of the answers that won’t be used

539.68
-438.75
22.54
136.6
79.38
-65.9
167.5

Answers

9514 1404 393

Answer:

  4) -438.75

  8) 539.68

  12) 22.54

Step-by-step explanation:

Put the values in place of the corresponding variables and do the arithmetic.

__

4) 6xy = 6(-7 1/2)(9 3/4) = -6(7.5)(9.75) = -438.75

__

8) I = prt = $2442 × 0.085 × 2.6 = $539.68

__

12) I = prt = ($578)(0.0325)(1.2) = $22.54

A store sells 5-pound bags of potatoes for $2.35 or 8-pound bags of potatoes for $3.52. Based on this information, which statement is true?

Answers

i dont get it what would make it true? more info please! sorry if im wrong.

I don't know what the answer choices are

5 pound = $2.35

8 pound = $3.52

2.35/5 = 0.47

3.52/8 = 0.44

The 8 pound bag costs less dollars per pound than the 5 pound bag

evaluate -6-(-5) x (-9)

Answers

9.
That’s the answer
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