Find cot B if csc ß= 3/5/5 and secß -3/2​

Find Cot B If Csc = 3/5/5 And Sec -3/2

Answers

Answer 1

Answer:

A) [tex]\displaystyle \frac{2\sqrt{5}}{5}[/tex]

Step-by-step explanation:

Since [tex]\csc\beta=\frac{1}{\sin\beta}[/tex], [tex]\sec\beta=\frac{1}{\cos\beta}[/tex], and [tex]\cot\beta=\frac{\cos\beta}{\sin\beta}[/tex], then [tex]\cot\beta=\frac{\csc\beta}{\sec\beta}[/tex]

This means that [tex]\displaystyle \cot\beta=\frac{-\frac{3\sqrt{5}}{5}}{-\frac{3}{2}}=\frac{-3\sqrt{5}}{5}*-\frac{2}{3}=\frac{2\sqrt{5}}{5}[/tex]


Related Questions

what is the positive solution of 3x^2-10-8=0?

Answers

Answer:

x=4

Step-by-step explanation:

I'm going to assume the question has a typo and that the question is actually [tex]3x^2 -10x-8=0[/tex].

You can simplify this to:

[tex](3x+2)(x-4)=0[/tex]

This leaves the solutions [tex]x=-\frac{2}{3}[/tex] and x=4

The only positive solution therefore is x=4

Answer:

The answer is 4

Step-by-step explanation:

Use the improved quadratic formula (https://socratic.org/algebra/quadratic-equations-and-functions/quadratic-formula)

D=d^2=b^2-4ac=100+96=196⇒d±14

There are 2 real roots: x=-b/2a±d/2a=10/6±14/6=5/3±7/3

The positive real root is : 12/3=4

16 out of 80 baseball players are left handed.
What percent of the players are left handed?

Answers

Answer:

20% of players are left-handed

Step-by-step explanation:

First, find how much each player is worth percent-wise

100 / 80 = 1.25

Then find out how much percent of players that makes up

1.25 x 16 = 20

The answer is 20% of players are left-handed, to check it you could do

80 * 0.2 = 16

(80 = total players, 0.2 = 20%, 16 = total left handed players)

H
3.
6x
++
For this rectangle, find x.
15
180
90
6
k

Answers

Answer:

x =15

Step-by-step explanation:

its a rectangle all interior angles must be equal to 90 so 6x=90

divide by 6 to get x on its own and you get 15

help me please really help

Answers

Answer:

60

Step-by-step explanation:

10 x sqrt64 - 5 x 4

10 x 8 - 5 x 4

80 - 20

60

I need help with my homework​

Answers

Answer:

y = 50x + 900

Step-by-step explanation:

I used the slope formula (y = mx + b). y represents the total money she earns each month

If x and y vary inversely, and y =6 when x=7, what is the constant of variation

Answers

Answer:

x alpha 1/y

: Introducing a constant k

x = k/y

where x = 7, y= 6

7 = k / 6

Cross Multiply

K ( constant) = 42

Answer: k = 42

Step-by-step explanation:

Formula = [tex]y = \frac{k}{x}[/tex]

plug in values:

6 = [tex]\frac{k}{7}[/tex]

multiply both sides by 7

k = 42

which expression is greater than 4

Answers

Answer:

all numbers<4

so numbers 5 and up

Step-by-step explanation:

Hello, help me please with explanation)

Answers

Answer:

hope this will help you sorry if the answer is wrong

I need help!!! Solve the equation 7= -10s -3

Answers

Answer:

s = -1

Step-by-step explanation:

7 = -10s -3 <== add 3 to both sides

+3        + 3

10 = -10s <== divide both sides by -10

/-10    /-10

-1 = s

Final answer: -1 = s  or  s = -1

Hope this helps!

Anyone know the answer to 4 1/6 + 3/4? The final result should be a mixed number.​

Answers

Answer:

=59/12 or 4.92 or 4 11/12

Step-by-step explanation:

4 1/6 + 3/4

=25/6 + 3/4

=59/12 or 4.92 or 4 11/12

Edgar accumulated $5000 in credit card debt if the interest rate is 50% per year and he does not have to make any payments for five years how much will he go on his debt in five years by compounding continuously.

Answers

Answer:

$ 60 912.46   owed in five years

Step-by-step explanation:

FIFTY percent <====== crazy !    This is .5 in decimal form

FV = Future Value = PV e^(i*t)    

   PV = present value      i = interest in decimal form      t = years

5000 e^(.5 * 5 )  = 60912.46

Use the formula; SA= 2(L) + 2(w) + 2(h) to find the survface area for a rectangular prism.

Question: (length = 2.2) (width = 1.46) (Height = 6)

Please answer this because im not smart.

Answers

Answer:

The surface area is 19.32

Step-by-step explanation:

The solution in the image

Stephanie is helping a midwife weigh new-born babies. The scales are in pounds but the sheet she has to complete is in kilogrammes. The baby weighs 8.06 lbs. When she converts this on a calculator the display reads 3.65595152. What is this in kilogrammes to 3 decimal places?

Answers

The weight of baby in kg is, 3.659 kg.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

The baby weighs 8.06 lbs.

Now, We know that;

⇒ 1 pound = 0.454 kg

Hence, The weight of baby in kg is,

⇒ 8.06 pounds = 8.06 × 0.454 kg

                        = 3.659 kg

Thus, The weight of baby in kg is, 3.659 kg.

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Let the given rhombus be abcd in which ab = bc = cd = da = 20 cm and
ac = 24 cm We know that the diagonals of a rhombus bisect each other at right angles

please help me ​

Answers

Answer:

384 cm²

Step-by-step explanation:

Property of rhombus :

Diagonals of rhombus bisect each other and are perpendicular to each other

Given :

Rhombus ABCD and its diagonals AC and BD bisect each other at O AC ⊥ BDAB = BC = CD = DA = 20 cmAC = 24 cm

Solving :

Area of the given rhombus is twice the Area of ΔABC formed by the given diagonal and two adjacent sides.

2 × 1/2 × OB × AC24 × OB24 × √AB² - AO²24 × √20² - (AC/2)²24 × √400 - 14424 × √25624 × 16384 cm²

Can someone answer theese 3 questions i will give brainliest

Answers

Answer:

#3

A

#2

D

#1

B

Hope this helps

Answer:

1.) 10/16 = 5/8  

2.) 14/16 = 2 7/8

3.) 6/16 = 1 3/8

Step-by-step explanation:

Just count the lines.

The swimming pool at Spring Valley High School is a rectangle with a width of 60 meters and a length of 30 meters. Around the perimeter of the pool is a tiled floor that extends w meters from the pool on all sides. Which expression represents the area of the tiled floor?

A. (2w2 + 90w) m2
B. (6w2 + 120w + 875) m2
C. (4w2 + 180w + 1800) m2
D. (4w2 + 180w) m2

Answers

Answer:

d.  (4w2 + 180w) m2

Step-by-step explanation:

Area of tiled floor = (area of tiled floor+ pool ) - area of pool

area of pool =l x b = 30 x 60 =1800  ...............a

length of pool + tiled floor = 30+2w

breadth of pool + tiled floor = 60+2w

Hence, (area of tiled floor+ pool ) =

(30+2w) x(60+2w) = 1800+60w+120w+4w2 = 1800 + 180w+4w2.....b

b-a =(1800+ 180w+4w2)- 1800 = 4w2 + 180w

12. The weights of bags of corn produced at a factory are normally distributed with a mean
of 28 oz and a standard deviation of 2 oz. Consider a shipment of 800 bags of corn.
How many of the bags will weigh 26.5 oz or less?

Answers

Answer:

If they are 28 Oz and a deviation of 2 it will be 26 so 26 times 800 will be 4800. so technically 1 bag is 26oz so the answer is 1 bag.

Solve for x. Round to the nearest tenth.​

Answers

Answer:

x = 25.84

Step-by-step explanation:

Secx = hyp /adj

Secx = 30/27

x = ArcSec(30/27)

x = 25.84

Work out 2/15 of 5 Give your answer as a fraction in its simplest form.​

Answers

Answer:

2/3

Step-by-step explanation:

2/15 of 5

Of means multiply

2/15 * 5

Multiply the numerators

2*5 = 10

Put over the denominator

10/15

We can divide the top and bottom by 5

10/5 =2

15/5 =3

2/3

Answer:

Step-by-step explanation:


The length of each of the two congruent sides of an isosceles triangle
is 2n +7 and the length of the third side is 3n

Draw and label the isosceles triangle.

Answers

Answer:

To find the perimeter you add the length of all sides.

1). 2n + 7 + 2n + 7 + 3n = perimeter

2). 2(2n + 7) + 3n = perimeter

Step-by-step explanation:

Hope this helps!! :)

help will mark Brainliest!!​

Answers

Answer:

-20.5

Step-by-step explanation:

Using a basic calculator, you divide 10.25 by -.5 which easily gives -20.5

Please help. Don’t understand

Answers

If the measure of the angle is 2π/3 the correct option will be tan∅=-√3.

What is trigonometry?

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle are termed trigonometry.

It is given in the question that:-

The measure of the angle is = [tex]\dfrac{2\pi}{3}[/tex]

We can also write the angle as = [tex]\dfrac{2\times 180}{3}=120[/tex]

Now from the options, the only value which satisfies this angle is tan∅=-√3.

 [tex]tan\dfrac{2\pi}{3}=tan \dfrac{2\times 180}{3}=tan(120)=-\sqrt{3}[/tex]

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Write a​ slope-intercept equation for a line that passes through (-2,3) and (2,-5)

The slope of the given line is m
​(Simplify your answer. Type an integer or a simplified​ fraction.)

Answers

Answer:

y - 3 = -2 * (x+2)

Step-by-step explanation:

Given ΔABC. Choose which of the following sides create a right triangle:

21

I. a=1.2,b=3.5,c=3.6
II. a=6,b=9.1,c=10.9
III. a=6,b=8,c=9

Answers

Answer:

II. a = 6 , b = 9.1 , c = 10.9

Step-by-step explanation:

I. a = 1.2 , b = 3.5 , c= 3.6

c² = a² + b²

3.6² = 1.2² + 3.5²

12.96 = 1.44 + 12.25

12.96 ≠ 13.69

These sides cannot create a right triangle.

II. a = 6 , b = 9.1 ,c = 10.9

c² = a² + b²

10.9² = 6² + 9.1²

118.81 = 36 + 82.81

118.81 = 118.81

Therefore, these sides can create a right triangle.

III. a = 6 , b = 8 , c = 9

c² = a² + b²

9² = 6² + 8²

81 = 36 + 72

81 ≠ 108

These sides cannot create a right triangle.

Help pls 85 points??

Answers

It's because most of them are the same measurements therefore are the same angles. 1 is just the name of the triangle and is based off their sides and measurements

Ron runs a hot question ( need answer)

Answers

Answer:

The price of a hot dog decreases between the third and sixth month:

True

The price of a hot dog increases between the sixth and ninth month:

False

The price of a hot dog increases constantly between the ninth and twelfth month:

True

Hope this helps! If anything is wrong, feel free to comment down below so I can change my answer for future users!

find the value of 7x+2y when x=2 and y=-9

Answers

Answer = -4

Step-by-Step Explanation:

Given: x = 2, y = -9

Therefore, substituting the values
= 7x + 2y
= 7(2) + 2(-9)
= 14 + -18
= 14 - 18
= -4

Answer:

32

Step-by-step explanation:

7×18+2×18=32

x=14

y=18

Have a great day!

The right rectangular prisms are similar. which statements are correct? check all that apply. the angles in the smaller prism measure 90 degrees. the perimeter of the rectangular bases changes by a factor of 2. the surface area changes by a factor of 8. the larger prism has twice the volume of the smaller prism. the area of the rectangular bases changes by a factor of 4.

Answers

The true statement about the right rectangular prisms include:

The angles in the smaller prism measure 90 degrees. The perimeter of the rectangular bases changes by a factor of 2.The rectangular bases changes by a factor of 4.

How to illustrate the prism?

It should be noted that a prism simply means a shape that has two identical shapes that face each other.

Here, the angles in the smaller prism measure 90 degrees and the perimeter of the rectangular bases changes by a factor of 2.

Learn more about prism on:

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Answer:

1,2, and 5

Step-by-step explanation:

Miguel is flying a kite, holding his hands a distance of 3.5 feet above the ground and letting all the kite’s string play out. He measures the angle of elevation from his hand to the kite to be 25


. If the string from the kite to his hand is 150 feet long, how many feet is the kite above the ground? Round your answer to the nearest tenth of a foot if necessary.

Answers

Answer:

66.9 ft

Step-by-step explanation:

Kite string forms a right triangle with the horizontal 3.5 feet off of the ground

sin 25  = opp / hyp  = height / 150

sin 25 = height / 150

150 sin25 = height      but it is 3.5 feet off of the ground...add that in

3.5  + 150 sin25 = true height = ~ 66.9 ft

A glacier is moving at a rate of 5 ft per year. At this rate, how long will it take the glacier to travel 1 mi? Hint: 1 mi = 5,280 ft​

Answers

1,056 years for it to travel 1 mile
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