In a right triangle, if sin 0 = 8/17 what is cos 0 explain?

Answers

Answer 1

Answer:

We have sin² x + cos² x =1 for all real x.

Therefore, sin² x = 1 – cos² x = 1 – (8/17)² = 1 – 64/289 = 225/289 = (15/17)².

However, remember that if x² = a², then x can be +a or –a.

Therefore, sin x can be either –15/17 or +15/17.

Everyone but Anirban so far has forgotten the negative solution.

Step-by-step explanation:

Given that sinθ=817 and cosθ<0 , we have: cosθ=−√1−sin2θ. cosθ=−√1−(817)2. cosθ=−√1−64289.


Related Questions

Angle X and Angle Y are complementary angles. Given Angle Y is equal to 1/5th Angle X. Find the value of Angle X in degrees

Answers

Answer:

75 degrees

Step-by-step explanation:

Complementary angles equal 90 degrees together. That is the case with angle X and Y. Set an equation to describe the situation.

Y=1/5X

X=5Y

Now, set another equation:

X+Y=90

Substitute the first equation into the second one.

5Y+Y=90

6Y=90

Y=15

Substitute this once again:

X+15=90

X=75

Find the slope of the line through each pair of points using the formula.
(17, -19) (4, -15)

Answers

Answer:

-4/13

Step-by-step explanation:

(17 , -19)  ; (4 , -15)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

          [tex]= \frac{-15-[-19]}{4-17}\\\\=\frac{-15+19}{4-17}\\\\=\frac{4}{-13}\\\\= \frac{-4}{13}[/tex]

Answer:

- 4 / 13

Step-by-step explanation:

Algebra work is easy :)

good luckkk

Please help; I'll give brainliest for the first person who answers <3

Answers

Answer:

m puq

Step-by-step explanation:

(9 x 10^6) + (8 x 10^{-4})

Answers

i think it would be 9000000.0008

Cost of a puppy: $348.88
Discount: 23%

Answers

$ 268.6376 is the answer

Give each trig ratio as a fraction in simplest form

Answers

sin D is 21/29
cos D is 20/29
tan D is 21/20
sin E 20/29
cos E is 21/29
tan E is 20/21

sin is y/r
cos is x/r
tan is y/x

Two different perspectives of the triangle, D and E.

A group of students is trying to determine the number of cars that move along a certain section of roadway. The dot plot below shows the speeds of 20 vehicles. Complete the table with the correct values from the dot plot.

Answers

Answer:# of cars: 1 | 0 | 0 | 0 | 2 | 4 | 5 | 3 | 0 | 2 | 2 | 1 |

Note: the answers are from left to right in order

Step-by-step explanation:

So this isn't as hard as it seems. You just count the X's and if there is like for example 1 x on 30 then the answer for 30 is 1 since there is only 1 X.

plz plz plz plz help me on this question

Answers

9514 1404 393

Answer:

  C

Step-by-step explanation:

Solve for y to find the inverse:

  x = f(y)

  x = y/3 -2

  x +2 = y/3

  y = 3(x +2)

  f⁻¹(x) = 3(x +2) . . . . the inverse function

Mr. Davis is packing a box with books. The box is a rectangular prism with the 2 ft 3 ft 2 ft What is the volume of the box?

Answers

Answer:

12 ft^3

Step-by-step explanation:

Given data

Dimension

Lenght= 2ft

Width= 3ft

Height= 2ft

The expression for the volume is

Volume= L*W*H

Substitute

V= 2*3*2

V= 12 ft^3

Hence the volume of the box is 12 ft^3

The graph shows the relationship between the number of apples and their cost. For the point (1, r), what is the value of r?

Answers

Answer:

C.

Step-by-step explanation:

When you check the point that is on X, it is a little over halfway to the point 1,2. It would be like 1,1.5 or 1,1.6.

5/3 is the equivalent to 1.6 so that answer would make the most sense.

Answer:

5/3

Step-by-step explanation:

3 Apples cost $5, so each apple cost 5 divided 3 ( 5 over 3).

I have no idea how to answer this question I've tried everything look at the Picture ​

Answers

Answer:

a. the error is that he wrote 0.05 instead of 0.2

0.148835 ≈ 0.2

b.

0.2 = 2 × 0.1

0.2 = 2 × 10⁻¹

The mass is about 2 × 10⁻¹ kg

Type a digit that makes this sentence true !!!

Answers

Answer:

any number between 83 and 0. [tex]0\leq x\leq 83[/tex]

Step-by-step explanation:

the number 1,548.4484 has the last two digits of 84.

And since the number has to be less than the other number and you can only switch the last two digits in the decimal's place. It has to be less than 84

Hope that helps :)

Answer:

the digit is 4, because that has 4484 but just put 4444

What is the asymptote of this function?

A) x=3
B) y=3
C) x=4
D) y=4

Answers

Answer:

b

Step-by-step explanation

look at the way the way the line curves and cross over into the positive across the dotted line. the curw = y

The correct answer is B

Hal put $3000 into a savings account that earns 6% interest. After 6 years, what will be the total amount of money in his savings account?

Explain for BRAINLIST.

Answers

Answer:

6000

Step-by-step explanation:

so you have to divide 3000 and 6 to get 500

next you would do  500 times 6 equals = 3000

so now you would plus them and get 6000

now that is your answer

please give me branlyiest

Ryan invests $8,361 in a savings account with a fixed annual interest rate of 4.31% compounded monthly. After 10 years, what will be the balance in the account?

Answers

Answer:

12,750

Step-by-step explanation:

After investing for 10 years at 4.31% interest, your $8,361 investment will have grown to $12,750

A function is shown f(x) = 2/3x + 3
What is the value of f(12)?

Answers

Answer:

f(12) = 11

Step-by-step explanation:

To evaluate f(12) substitute x = 12 into f(x) , that is

f(12) = [tex]\frac{2}{3}[/tex] × 12 + 3 = 8 + 3 = 11

Which category best describes the group of shapes

Answers

Answer:

Parallelograms

Step-by-step explanation:

Cole wrote the number shown.

375,819

Lindsay used the same digits to write a number in which the value of the digit 7 is 110 of the value of the digit 7 in Cole’s number. Which number can be the one Lindsay wrote

Answers

the answer is the experience

THIS IS MULTIPLE CHOICE!

There is a cluster from 1 to 4 hours.
There is a gap from 5 to 7 hours.
The data has a peak at 3 hours.
The spread is from 1 to 8.

Answers

Answer:

there is a cluster from 1-4

there is a gap from 5-7

The spread is from 1-8

Step-by-step explanation:

These are all true if you look... there is a bunch from 1-4, there is none from 5-7, and all of them are within 1-8, but  the highest amount isn't at 3.

Can y’all help with geo?

Answers

Here's the solution,

figure 1.

by using trigonometry,

=》

[tex] \sin(60) = \dfrac{5 \sqrt{3} }{y} [/tex]

=》

[tex] \dfrac{ \sqrt{3} }{2} = \dfrac{5 \sqrt{3} }{y} [/tex]

=》

[tex] \dfrac{1}{y} = \dfrac{ \sqrt{3} }{2 \times 5 \sqrt{3} } [/tex]

=》

[tex] \dfrac{1}{y} = \dfrac{1}{10} [/tex]

=》

[tex]y = 10[/tex]

And,

=》

[tex] \cos(60) = \dfrac{w}{y} [/tex]

=》

[tex] \dfrac{1}{2} = \dfrac{w}{10} [/tex]

=》

[tex]w = 5[/tex]

So, values are :

y = 10w = 5

figure 2.

Since, it's an isosceles triangle, w = y,

So, by pythagoras theorem :

=》

[tex] {w}^{2} + {y}^{2} = (7 \sqrt{2} ) {}^{2} [/tex]

=》

[tex] {w}^{2} + {w}^{2} = 98[/tex]

=》

[tex]2 {w}^{2} = 98[/tex]

=》

[tex] {w}^{2} = 49[/tex]

=》

[tex]w = \sqrt{49} [/tex]

=》

[tex]w = 7[/tex]

and we know, w = y, so their values will be equal to 7 units.


Find the value of x.
44 °
Х
x = [? ]°

Answers

Answer:

x = 136°

Step-by-step explanation:

The opposite angles of a cyclic quadrilateral are supplementary, that is

x + 44° = 180° (subtract 44° from both sides )

x = 136°

Sam paid $8.28 for 18 stamps. At this rate, how much would it cost Sam to buy 12 stamps?

Answers

Answer: $5.52

Step-by-step explanation:

Given: Sam paid $8.28 for 18 stamps.

Thus, the cost of 18 stamps = $8.28

Then the cost of 1 stamp=

Thus, the cost of 1 stamp=$0.46

With the same rate , the cost of 12 stamps=

Therefore, the cost of 12 stamps= $5.52

hence, it costs $5.52 to Sam to buy 12 stamps.

8.28÷18 = 0.46

0.46 is the cost if 1 stamp

cost of 12 stamps= 0.46×12 = $5.52

happy to help :)

Please help.
Is algebra.

Answers

Answer:

B

Step-by-step explanation:

The first one is a binomial. It has two different terms on either side of the middle minus sign. y is raised to the 4 th power so that is degree 4. The answer is b

The second problem is ordered as 4 3 1 2

The powers determine the degree. The terms are all different and the number of terms is determined by the powers of the letters in the terms.

Answer:

Step-by-step explanation:

How much of 27 and 19 do I need to make 30,000 even?​

Answers

Answer:

I don’t know but I know 27 times 630 plus 19 times 680 is 29,930 I’ve tried some other ways but it gets really close but not exact

Step-by-step explanation:

please help me


I don't get what the question is asking me​

Answers

The first (a) is one and 3/4.
The second (b) is -2 3/4
The third (c) is -1 1/5

Make a table of values given that “x” is an integer such that -4 < x < 4, using the Equation y = 3x + 5.

Answers

I think the answer is x=6

Find the trigonometric ratios as simplified fractions and as decimals to the nearest thousandths (as necessary).



Sin X: Fraction_______ Decimal_______

Cos X: Fraction_______ Decimal______

Tan X: Fraction__________ Decimal______

Answers

Step-by-step explanation:

by using Pythagoras law

ZY=√{45²-27²)=36

sin X=ZY/XY=36/45=0.8

Cos X=XZ/XY=27/45=0.6

Tan X= YZ/XZ=36/27=1.33

Dave jarred 12 liters of jam after 6 days. How much jam did Dave jar if he spent nine days making jam? Assume the relationship is directly proportional

Answers

Answer:

18 liters

Step-by-step explanation:

12/6 = 2 liters per day

2 x 9 = 18 liters

Help please I’ll give brainliest

Answers

X=20 because 28/7 is 4 and 5*4 is 20
x=20 bc 7x4=28 therefor 5x4=20

Any ways i need help (16 points)

Answers

Answer:

Step-by-step explanation:

A = 3M

J = 2A

J = 6M

Marie = M

Andre = 3M

Jane = 6M

6M+3M+M = 840

10M = 840

M= 84 Pounds

Andre = 3M

Andre = 84*3

Andre has 252 pounds of apples.

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