Someone please help! ​

Someone Please Help!

Answers

Answer 1

Given:

[tex](\sin x)^2+(\cos x)^2=1[/tex]

[tex]\cos \theta = \dfrac{4\sqrt{2}}{7}[/tex]

To find:

The value of [tex]\sin \theta[/tex].

Solution:

We have,

[tex]\cos \theta = \dfrac{4\sqrt{2}}{7}[/tex]

Putting this value in the Pythagorean identity, we get

[tex](\sin \theta)^2+(\cos \theta)^2=1[/tex]

[tex](\sin \theta)^2+\left(\dfrac{4\sqrt{2}}{7}\right)^2=1[/tex]

[tex](\sin \theta)^2+\dfrac{16(2)}{49}=1[/tex]

[tex](\sin \theta)^2+\dfrac{32}{49}=1[/tex]

[tex](\sin \theta)^2=1-\dfrac{32}{49}[/tex]

[tex](\sin \theta)^2=\dfrac{49-32}{49}[/tex]

[tex](\sin \theta)^2=\dfrac{17}{49}[/tex]

Taking square root on both sides, we get

[tex]\sin \theta=\pm \sqrt{\dfrac{17}{49}}[/tex]

[tex]\sin \theta=\pm \dfrac{\sqrt{17}}{7}[/tex]

The given value of [tex]\sin \theta[/tex] is positive. So, [tex]\sin \theta= \dfrac{\sqrt{17}}{7}[/tex].

Therefore, the value of value [tex]\sin \theta[/tex] is [tex]\sin \theta= \dfrac{\sqrt{17}}{7}[/tex].


Related Questions

Hey can you help me fast!!

Answers

The answer is -6/7 after working it out.

Questions 7 and 8 please. Really need help thank you!!

Answers

Answer:

7) sin 60° = 25√3/Z

0.8660 = 25√3/Z

Z = 50

8) using the Pythagorean theorem:

50² = (25√3)² + y²

2500 = 1875 + y²

y² = 625

y = 25

Answer:

z = 50

y = 25

Step-by-step explanation:

Using the 30, 60, 90 triangle rule

you can figure this out.

The rule says

With a 30, 60, 90 triangle

Given the shorter leg, (side across the 30 degree angle,

To find longer leg (side across the 60 degree angle):

Multiple shorter leg by radical 3.

To find hypotenuse (side across the 90 degree angle):

Multiple shorter leg by 2.

Thus

Shorter leg (side opposite 30 degree): 25

Longer leg (side opposite 60 degree):

25 radical 3

Hypotenuse(side opposite 90 degree): 50

Triangle ABC has the following measurements.

m
write an equation and solve for x

Answers

Answer:

4y

Step-by-step explanation:

can you figure out the missing number in this sequence?

2, 5, 9, 14, 27

Answers

Answer:

The missing number in the sequence is 20

Step-by-step explanation:

The difference between the numbers are as follows: 3,4,5,6,7

The missing number of the given sequence is 13.

The given sequence is,

2, 5, 9, 14, 27

We can see that the difference between each consecutive number is increasing.

The difference between 2 and 5 is 3,

The difference between 5 and 9 is 4,

The difference between 9 and 14 is 5,

And the difference between 14 and 27 is 13.

Therefore, it's possible that the next number in the sequence could have a difference of 14 or more.

So,

To determine the missing number,

We can look at the pattern of the differences between the numbers in the sequence.

Since the difference between 14 and 27 is 13,

We can assume that the difference between the missing number and 27 is at least 14.

Therefore, we can subtract 14 from 27 to get our missing number, which is 13.

To learn more about sequence visit:

brainly.com/question/12373434

#SPJ2

Simplify fully125y2/10xy​

Answers

Answer:

12.5y/x

Step-by-step explanation:

125y²/10xy​ = 12.5y/x

Find the volume of the solid shown in the figure

Answers

Answer:

The answer to the question is 603.186

Thannnnkkk youuuuuuuuu of youuuu helpp

Answers

The answer to this problem is D. Hope that helps.

Help me with Math
( graphs )
PLEASEEE​

Answers

Ok try to look on you tube it can help a lot in this

Which angle type is NOT shown in the diagram?

A) acute
B) obtuse
C) right
D) straight

Answers

Need to see the diagram to find the answer

Help.Right answer gets brainliest.

Answers

Answer:

D it should be D i had a similar question

It is absolutely D honey

Toby found a $52 wallet on the clearance
rack for 60% off. If sales tax is 6.25%, how
much will he pay in total?
A.$22.10
B.$23.75
C.$28.50
D.$33.15

Answers

Answer:

A. $22.10

Step-by-step explanation:

52 x 0.4 = 20.8

20.8 x 1.0625 = 22.1

Rahim was asked to make p the subject of this formula
Q = 5/3 -7
He started his answer as follows
3Q = p - 21 hence p =
Complete Rahim's final answer.

Answers

Answer:

p = 63

Step-by-step explanation:

3Q = p - 21

transfer the -21 to the left as the value of Q. Since it was negative, when we transfer it to the left it will turn to poditve so,

3(21) = p

multiply 3 and 21 so 3 multiplied by 21 is equal to,

63 = p, then the answer is p = 63

Please help me with these two questions I am having trouble

Answers

Answer:

1. 8820.26 yds^2

2. 101.265 m^2

Step-by-step explanation:

For both problems you need to use the equation π*r^2 which is the area of a circle and where r is the radius of the circle. The radius is also equal to 1/2 the diameter so using this we can figure out the are of the first circle

For the second problem we have to find the area of the circle with and without the sidewalk around it and subtract them from each other

How would you write 12-^3 using a positive exponent?
12^3
12^0
12^3/1
1/12^3

Answers

Answer:

[tex] \frac{1}{ {12}^{3} }[/tex]

Step-by-step explanation:

[tex] {12}^{ - 3} = \frac{1}{ {12}^{3} } \\ [/tex]

Consider the function f(x) =2x-6 find f(2)

Answers

Step-by-step explanation:

✧ [tex] \underline{ \underline{ \large{ \tt{G \: I \: V \: E\: N}}} } : [/tex]

f ( x ) = 2x - 6

✧ [tex] \underline{ \underline{ \large{ \tt{T\: O \: \: F\: I\: N\: D}}}}: [/tex]

value of f ( 2 )

✧ [tex] \underline{ \underline{ \large{ \tt{S \:O \: L \: U \: T \: I \: O \: N}}}} : [/tex]

❀ [tex] \large{ \text{When \: x = 2 ,\: f}(2) = 2 \tt{ \times 2 - 6}}[/tex]

⟼ [tex] \large{ \text{f(2) = 4 - 6 = \boxed{ \large{ \text{ - 2}}}}}[/tex]

♨ [tex] \boxed{ \boxed{ \large{ \text{OUR\: FINAL \: ANSWER : \boxed{ \underline{ \bold{ \text{ - 2}}}}}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ! ♪

Let me know if you have any questions regarding my answer! ☄

☃ [tex] \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}}[/tex] !! ♕

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

If 10% of a number is 12 and 45% of the same number is 54, find 35% of that number.

Answers

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Answer: 42

Explanation:

120 x .35 = 42

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

42 is your answer

Answer:

let no be x

10% of x=12

x=1200/10=120

again

45% of x=54

x=5400/45=120

here

35% of 120=35/100×120=42

Stonehenge is one of the most famous historical sites in the world. It is believed to
be a burial site built around 2000BC. It covers an area of 804m2. What is the radius
of Stonehenge

Answers

Answer: Radius is 15.9975 meters.

Step-by-step explanation:

The formula to find radius of circle is r=[tex]\sqrt{A/\pi }[/tex] so plug in our known variables and solve...

r=[tex]\sqrt{804/\pi }[/tex]

r=[tex]\sqrt{255.9211}[/tex]

r=15.9975

Write an exponential equation that represents the given situation. You invest $1000 and it increases 12% each year. Can you teach me it because i need to show my work, thank you

Answers

Answer:

FV= 1,000*(1.12^n)

Step-by-step explanation:

Giving the following information:

Initial investment= $1,000

Increase rate= 12% = 0.12

We need to formulate an exponential equation to show the value in n years.

To calculate the Future Value, we need to use the following formula:

FV= PV*(1+i)^n

Being:

FV= Future Value

PV= Initial Investment

i= increase rate

n= number of periods

FV= 1,000*(1.12^n)

For example, for one year:

FV= 1,000*(1.12^1)

FV= $1,120

For 3 years:

FV= 1,000*(1.12^3)

FV= $1,404.93

A gym owner has some yellow weights and some red weights. The yellow weights are 6 kilograms each, and the red weights are 8 kilograms each. The owner has 4 weights, and they weigh 28 kilograms in all. How many of each color weight does he have?

Answers

Answer:

The store owner has two of each color weights

Step-by-step explanation:

joey took a total of 12 pages of notes during 3 hours of class. after attending 4hours of class, how many pages of notes will joey have in his notebook
HELPPP

Answers

Answer:

If he kept taking notes at the same pace, he would have 16 pages of notes in his notebook.

Step-by-step explanation:

By dividing the number of pages of notes taken by the time spent taking them, you can find his rate of note-taking, which is 4 pages an hour. By adding another hour of notes, he should have 16 pages of notes. But if this question is asking for 4 more hours, the answer would be 28 pages.

i need help please this is quite hard for me

Answers

Use photomath because it is very helpful bro

What is the spread of the data?

A. 15 to 30 years
B. 18 to 25 years
C. 21 to 25 years
D. 18 to 21 years

Answers

The spread of data is A 15 to 30 years

What is the common ratio of the sequence?
-2, 6, -18, 54,...

a. −3
b. −2
c. 3
d. 8

Answers

Answer:

A -3

Step-by-step explanation:

-2 x -3 = 6

6 x -3 = -18

-18x -3 = 54

3) Write an explicit
formula for the
sequence:
45, 41, 37, 33

Answers

Answer and Step-by-step explanation:

f(n) = 45 - 4(n - 1)

This is the explicit formula for the sequence.

45 is the initial amount, which is why it is by itself.

The change in the sequence is take away 4, so this becomes a negative 4, which is then multiplied by (n - 1), where n is the term in the sequence.

#teamtrees #PAW (Plant And Water)

please show your work.​

Answers

Answer:

1. 8.19, 2. 25.96, 3. 3.95

Step-by-step explanation:

use soh cah toa

1. cos is adjacent/hypotenuse

cos73=x/28

multiply both sides by 28

28cos73=x=8.186

2. sin is opposite over hypotenuse

sin68=x/28

multiply both sides by 28

28sin68=x=25.961

3. sin is opposite over hypotenuse

sin26=x/9

myltiply both sides by 9

9sin26=x=3.945

Solve the proportion (last was wrong, i apologize to those who answered my previous one!!)

11/s = s/-6

Answers

Answer:

x=±√(-66)

(there is no real solution)

Step-by-step explanation:

Answer:

hngbkx8uff

jrgjgk

Step-by-step explanation:

jgjk

HELP PLEASE PLEASE!!!​

Answers

Answer:

a) 20 feet

Step-by-step explanation:

8ft shadow - 5ft

32ft shadow - [tex]\frac{32}{8}[/tex] × 5ft = 20ft

Answer:

A

Step-by-step explanation:

Ratio from shadow to object

8:5

Given Shadow of tree = 32ft, (8x4)

Height of Tree = 5x4 = 20ft

A

thank you for hurrying here is the very last one Explain how you would find the perimeter of this triangle.

Answers

Step-by-step explanation:

Use the method of TOA CAH SOH.

[tex]tan(51.3) = \frac{opp}{adj} \\ \tan(51.3) = \frac{u}{4} \\ u = 4 \tan(51.3) [/tex]

[tex] cos(51.3) = \frac{adj}{hypo} \\ \cos(51.3) = \frac{4}{v} \\ v \cos(51.3) = 4 \\ v = \frac{4}{ \cos(51.3) } [/tex]

Perimeter of triangle = Sum of all sides =

[tex]u \: + \: v + 4[/tex]

Answer:

use right angeled triangle method.

A pair of sandals cost $34.00, and 5% tax is charged on the purchase. How much tax is paid?

Answers

Answer:

1.70 of tax is paid

Step-by-step explanation:

34(1+0.05) = 35.7

35.7-34= 1.70

1 represents out 100%

do 5% in decimal form which is 0.05

One of the measures of a triangle is 30º. If the sum of the other 2 angles is 150º and the differnce their measures is 18º what are the of the unkown angles

Answers

Answer: 84° & 66°

Step-by-step explanation:

find our variables...

difference in two unknown angles is 18 so...

Let's use a, b, & c to set up

a=30 b=b c=b-18

150=b+c

150=b+(b-18)

150=2b-18

168=2b

84=b

Use our known b to find c...

c=b-18

c=84-18

c=66

Adding all three up to make sure they give us 180 degrees is a good way to check our work.

a+b+c=

30+84+66=180

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