Find the exact value of the following trig ratio given the triangle.

Answer:

y ≈18.8

Step-by-step explanation:

Since this is a right triangle we can use the Pythagorean theorem

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

y^2 +18^2 = 26^2

y^2 +324=676

y^2 = 676-324

y^2 =352

Taking the square root of each side

sqrt(y^2) = sqrt(352)

y is approximately 18.76

y ≈18.8

Answer:

37/12

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

Identify

1/2w + 3

w = 1/6

Step 2: Evaluate

Answer: 2 ounces

Step-by-step explanation:

1 pound = 16 ounces

1/12= 0.0833333

if you multiply 0.0833333 by 16, youll get 1.3333

therefore for 1/12 pounds you have 1.333 ounces

and it’s obvious that 2 ounces is greater than 1.3333 ounces

The greater is the 2 ounces.

We have to determmine which one is grater from 1/12 and 2.

1 pound = 16 ounces

We have 1/12= 0.0833333.

Now  multiply 0.0833333 by 16, we get 1.3333.

Therefore for 1/12 pounds you have 1.333 ounces.

Therefore 2 ounces is greater than 1.3333 ounces.

To learn more about the ounces visit:

https://brainly.com/question/13518828

Answer:

Each hat is $15.75

Step-by-step explanation:

When you take $47.25 since there is three hats you divide by 3, so you get 15.75.

Answer:

Volume of triangular prism is given by formula

Volume of triangular prism = (Area of the base) x 12 (height of the prism)

now plug the given values

216= (area of the base) x 12

216/12 = area of the base

18= area of the base

so, the answer is 18 square cm

Answer:

a

Step-by-step explanation:

To obtain f(b) substitute x = b into f(x) , that is

f(b) = 6(b) - 1 = 6b - 1

f(x) and f(b) are very similar. The only difference is that in every place where x is in the function, we now will plug in b. This is just like plugging in a number. For example, if our function was f(x) and we had to plug in 4, it might look something like this: f(4). Very similar, and we know how to plug that number in.

Let's do the same thing with b.

f(x) = 6x - 1

f(b) = 6b - 1

Hope this helps!! :)

Answer:

2.     4x + 5y = 20

Step-by-step explanation:

Determine the slope of each of the equations;

y = mx + c

where;

m is the slope

In each of the given equations, make y the subject of the formula

1. 5x + 4y = 20

       4y = 20 - 5x

         y = (20/4)  -  (5x/4)

         y = 5 - 5x/4

m = -5/4

2. 4x + 5y = 20

      5y = 20 - 4x

        y = 4 - 4x/5

m = -4/5 = -0.8

3. 5x - 4y = 20

        4y = 5x - 20

          y = 5x/4  - 5

m = 5/4

4. 4x - 5y = 20

          5y = 4x  -  20

            y = 4x/5  - 4

m = 4/5

The question says, which of the slope is greater than - 1 but less than 0

- 1 < m  < 0

The only equation with slope greater than -1 but less than 0 is 4x + 5y = 20, with slope -4/5 = -0.8

Answer:

A=75, B=60, C=45

Step-by-step explanation:

5x+4x+3x=180

12x=180

x=15

plug them in and get

A=5(15)=75

B=4(15)=60

C=3(15)=45

Answer:

x=3

Step-by-step explanation:

You subtract the 4 from +4 d +10 and then you left with 2x=6

Then you divide the numbers both by 2 so you are left with x=3.

Have a nice day!!!!!!!!!!

Answer:

x=3

Step-by-step explanation:

2x + 4 - 4 = 10 - 4

2x ÷ 2 = 6 ÷ 2

x = 3

Answer:

47

Step-by-step explanation:

There are total 52 cards.

Certain number of cards are lost.

When divided by 4, leaves 3 cards remain ; 51, 47, 43, 39, . . .

When divided by 5, leaves 2 cards remain : 47, 42, 37, 32, . . .

When divided by 3, leaves 2 cars remain : 50, 47, 44, 41, . . .

The common number among the three is 47.

Answer:

368 square meter

Step-by-step explanation:

just guessing

Answer:368

I got it right

Answer:

-1/9

Step-by-step explanation:

Answer:

option C . 0.5

Step-by-step explanation:

[tex]cos 300 = cos(2\pi - 300 ) = cos( 360 - 300) = cos 60 = 0.5[/tex]

Using the formula :

[tex]cos\theta = cos (2\pi - \theta )[/tex]

C= 0.5

Step-by-step explanation:

Answer:

Solution given:

A triangle PQR is right angled at R, with hypotenuse{h}PQ=80cm

and

base[b]PR=60cm.

perpendicular [P]= QR

by using Pythagoras law

h²=p²+b²

80²=QR²+60²

QR²=80²-60²

QR=[tex]\sqrt{2800}[/tex]

QR=20[tex]\sqrt{7}[/tex]=52.9=53cm

QR=53cm.

Answer:

formula of slope if angle is given:

Tan (angle given)

Step-by-step explanation:

Answer:

gggggjwjwkekdbfjfnnf

Answer:

B is the correct answer

Step-by-step explanation:

Hope it helped have a great day

Answer:

L = 16oz

M = 12oz

S = 8oz

Step-by-step explanation:

8 large equal to 128oz ( 8 x 16 = 128 )

4 medium equal to 48oz ( 4 x 12 = 48

4 large equal to 64oz ( 4 x 16 = 64

12 medium equal to 144oz ( 12 x 12 = 144 )

Total of oz equal 384oz

384 - 80 = 304/80 = 3.8

3 more bowl of 80oz and 5 Mcup and 1/2 Scup

Answer:

X + 9 = 21

Isolate the variable, meaning getting rid of the constants

-9         -9

X = 12

Answer:

12

Step-by-step explanation:

To get the answer 12 you must:

Subtract 21 - 9

That would get you your answer.

Answer:

x<16

it's the last one

Step-by-step explanation:

Multiply both sides of the inequality by

then move the constant to the right hand side and

change it's sign and

subtract by four

Answer:

The convergent series are;

[tex]\sum \limits _{n = 1}^\infty \left( \dfrac{1}{5} \right) ^n[/tex]

(And)

[tex]\sum \limits _{n = 1}^\infty \left( \dfrac{1}{10} \right) ^n[/tex]

Step-by-step explanation:

A series in mathematics is the sum of a sequence of numbers to infinity

A convergent series is a series that sums to a limit

From the given options, we have;

First option

[tex]\sum \limits _{n = 1}^\infty \dfrac{2\cdot n}{n + 1}[/tex]

As 'n' increases, 2·n becomes more larger than n + 1, and the series diverges

Second option

[tex]\sum \limits _{n = 1}^\infty \dfrac{n^2 - 1}{n - 2}[/tex]

As 'n' increases, n² - 1, becomes more larger than n - 2, and the series diverges

Third option

[tex]\sum \limits _{n = 1}^\infty \left( \dfrac{1}{5} \right) ^n[/tex]

As 'n' increases, [tex]\left( \dfrac{1}{5} \right) ^n[/tex], becomes more smaller and tend to '0', therefore, the series converges

Fourth option

[tex]\sum \limits _{n = 1}^\infty \left( \dfrac{1}{10} \right) ^n[/tex]

As 'n' increases, [tex]3 \times\left( \dfrac{1}{10} \right) ^n[/tex], becomes more smaller and tend to '0', therefore, the series converges

Fifth option

[tex]\sum \limits _{n = 1}^\infty \dfrac{1}{10} \cdot (3) ^n[/tex]

As 'n' increases, [tex]\dfrac{1}{10} \cdot (3) ^n[/tex], becomes more larger and tend to infinity, therefore, the series diverges.

Answer:

C and D

Step-by-step explanation:

Edge 2021

30,125 × ( 3 )^2 =

30,125 × 9 =

271,125 yd^2

Answer:

C) 150

Step-by-step explanation:

Answer:

the answer is 33

Step-by-step explanation:

for every 2 Illustrations there are 3 texts meaning if there is 22 Illustrations there would be 33 texts

Answer:

33 text

Step-by-step explanation:

Text : illustrations

3                 2

For every 3 text, there are 2 illustrations

We have 22 illustrations so we need to multiply by 11

Text : illustrations

3*11            2*11

33                  22

We need 33 text

Answer:

The range is 8.

Step-by-step explanation:

The range in a data set is the diffrence between the smallest and the largest number, in this case 1 and 9.

9 - 1 = 8

Have a nice day!

and tell me if I am wrong.

Answer:

5m a second

Step-by-step explanation:

Answer:

5 mps

its simple, all you have to do is times 5 meters by 20 seconds and you get 100 meters. so its 5 mps. (sorry i explained it kinda weird)

Answer:

2700

Step-by-step explanation:

3 in 3612 is thousands

3in 1347 is hundreds

3000 - 300

= 2700

Answer:

Step-by-step explanation:

Equation of the function is,

f(x) = 2x² + 20x + 54

To convert the function in the form of f(x) = a(x - h)² + k

f(x) = 2(x² + 10x) + 54

     = 2[x² + 2(5x) + 25 - 25] + 54

     = 2[x² + 2(5x) + 5²] + 54 - 50

     = 2(x + 5)² + 4

     = 2[(x - (-5)]² + 4

Vertex of the quadratic equation (parabola) will be (-5, 4)

Therefore, f(x) has a minimum value at x = -5,

f(-5) = 4

"The function f(x) has a minimum value of 4, which occurs when x = 5"

Answer:

8%

Step-by-step explanation:

We can solve this by making use of the simple interest formula

I= PRT/100

480= 3000×R×2/100

480= 6000R/100

Cross multiply

48000= 6000R

R= 48000/6000

= 8%

Hence the rate is 8%

Answer:

5.73

Step-by-step explanation:

I hope that's help u

Answer:

5 11/15

Step-by-step explanation:

Convert the 2/5 to a fraction over 15 by multiplying it by 3. You result with 6/15. You can now easily add 3 5/15 + 2 6/15. They result in 5 11/15.

Answer:

Answer = D.) 9, 12, 16

Step-by-step explanation:

Answer:

[tex]pythagorean : AC^2 = AB^2 + BC^2 \\\\(3,4,5) = 5^2 = 3^2 + 4^2 \\ => satisfies\\\\(5, 12 , 13) = 13^2 = 5^2 + 12^2 \\=> satisfies\\\\(6, 8 , 10) = 10^2 = 6^2 +8^2\\=>satisfies\\\\(9,12, 16) = 16^2 = 9^2 + 12^2 => 256 = 81 + 144 => 256 = 225 \\=> does \ not\ satisfy[/tex]