Instructions: Find the value of the trigonometric ratio. Make sure to simplify the fraction if needed.

Answer is 35 degrees

Answer:

12/35

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The product of the fractions is 12/35, or 2/5 x 6/7 as a fraction is equal to 12/35.

Given that we need to convert 2/5 x 6/7 in a fraction.

To multiply fractions, you simply multiply the numerators (top numbers) together and the denominators (bottom numbers) together. In this case, you have:

(2/5) x (6/7)

Multiplying the numerators gives you 2 x 6 = 12, and multiplying the denominators gives you 5 x 7 = 35.

So, the product of the two fractions is: 12/35

Therefore, 2/5 x 6/7 simplifies to 12/35 as a fraction.

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Answer:

If you wanted to simplify the equation:

9y - 30 = 6

If you wanted to solve for y:

y = 4

Step-by-step explanation:

3(3y - 10) = 6

9y - 30 = 6

Add 30 to both sides of the equation:

9y - 30 + 30 = 6 + 30

Simplify:

9y = 6 + 30

9y = 36

Divide both sides of the equation by 9:

9y ÷ 9 = 36 ÷ 9

Cancel terms that are in both the numerator and denominator:

y = 36 ÷ 9

y = 4

Answer:

is is on the x acsess 2 and go down to -3. Hope this helped!

Step-by-step explanation:

Go to the x acsessw and go to 2 go down to -3 and mark

See diagram below.

===========================================================

Explanation:

The highest point on f(x) is the vertex point since the leading coefficient is negative. The vertex is located at (h,k)

For the general parabola y = ax^2 + bx + c, we can define h to be

h = -b/(2a)

In this case, we plug in a = -2 and b = 8 to find h to be...

h = -b/(2a)

h = -8/(2*(-2))

h = -8/(-4)

h = 2

Then the value of k is equal to f(h). So we plug x = 2 into the f(x) function to get

f(x) = -2x^2 + 8x - 1

f(2) = -2(2)^2 + 8(2) - 1

f(2) = -2(4) + 8(2) - 1

f(2) = -8 + 16 - 1

f(2) = 8 - 1

f(2) = 7

This means k = 7

So the vertex for f(x) is at (h,k) = (2,7)

The max value of f(x) is f(x) = 7 which is the same as y = 7.

The graph shows the highest point is at (0,10). The highest point of g(x) is when y = 10. So this is the largest g(x) can get. We only are concerned with output values when we want to maximize whatever the function is.

Therefore, g(x) produces the larger maximum value compared to f(x).

We can see that if we were to graph both f(x) and g(x) together. The g(x) curve peaks higher compared to f(x).

The diagram is shown below. I used GeoGebra to make the graph, though you could use Desmos or a TI calculator (or similar) if you want.

Answer:

13.8 ounces of salt

Step-by-step explanation:

A restaurant small salt shakers contains 0.6 ounces of salt. The shakers are filled from a container that has 18.6 ounces of salt. If 8 shakers are filled, how much salt will be remaining in the salt container?

Step 1

Note that:

1 shaker = 0.6 ounces of salt

8 shakers = x

Cross Multiply

x = 8 × 0.6 ounces of salt

x = 4.8 ounces of salt

Step 2

The shakers are filled from a container that has 18.6 ounces of salt. If 8 shakers are filled, how much salt will be remaining in the salt container?

This is calculated as:

18.6 ounces of salt - 4.8 ounces of salt

= 13.8 ounces of salt

Answer:

The dimensions of the field to maximise the area are 100 metres (width) and  200 metres (height).

Step-by-step explanation:

The formulas for the area ([tex]A[/tex]), measured in square metres, and the perimeter ([tex]p[/tex]), measured in metres, of the rectangle are, respectively:

[tex]A = x\cdot y[/tex] (1)

[tex]p = 2\cdot x +y[/tex] (2)

Where:

[tex]x[/tex] - Width, measured in metres.

[tex]y[/tex] - Height, measured in metres.

Note: We assume that height of the rectangle is parallel to the wall of the house.

By (2):

[tex]y = p - 2\cdot x[/tex]

In (1):

[tex]A = x\cdot (p-2\cdot x)[/tex]

[tex]A = p\cdot x - 2\cdot x^{2}[/tex] (3)

Then, we obtain its first and second derivatives by Differential Calculus:

[tex]A' = p - 4\cdot x[/tex] (4)

[tex]A'' = -4[/tex] (5)

By equalising (4) to zero, we find the following critical value for [tex]x[/tex]:

[tex]x = \frac{p}{4}[/tex]

And besides the Second Derivative Test, this solution is associated to an absolute maximum. Given that [tex]p = 400\,m[/tex], then the maximum area enclosed by fencing is:

[tex]x = 100\,m[/tex]

[tex]A = 20000\,m^{2}[/tex]

And the height of the triangle is:

[tex]y = 200\,m[/tex]

The dimensions of the field to maximise the area are 100 metres (width) and  200 metres (height).

Answer: 12 students for 1 teacher.

Step-by-step explanation: 36 students divided by 3 teachers is 12 students for each teacher.

Answer:

The answer is 12

Step-by-step explanation:

36 students divided by 3 teachers

36 / 3 = 12

Hope this helps!! ;3

Answer:

The jumping dolphin --  changes

The flying seagull -- same

The octopus --  same

Step-by-step explanation:

The distance of the Albatross from the sea surface when compared to the vertical distance from the eyes of the :

The jumping dolphin :

As the dolphin jumps out from the sea, the vertical distance of the albatross from the surface seems to be decreasing and then increasing as seen by the jumping dolphin.

The flying seagull :

The distance of the albatross is at the same height as seen by the seagull since it is flying at the same level, i.e. at the level of the sea surface

The octopus :

The octopus remains at the same depth below the water surface. So the distance of the albatross for the octopus remains the same at 5 m above the ocean surface.

Answer:

$517.50

Step-by-step explanation:

25x20.7

Answer:

This will be your answer. I hope this helps, good luck! :)

Answer:

by adding. positive, you move towards right.

Answer:

Right

Step-by-step explanation:

when looking at a number line, you will see 0, and you will notice all numbers go from 0 to the right in an increasing manner, so it would be 0, then 1, then 2, then 3....

its the other way for negative numbers tho, so (from a line of negative numbers) -3, then -2, then -1, then 0

a good way to remember is to imagine a race, you want to gain progress and go further away from the start (0) so the RIGHT way to go would be UP the number line and INCREASE your progress

Answer:

I think it is the second one haha loll

Using the equation y = abx , substitute both of your given points into that equation.

2 = ab2 and 4 = ab3 Solve each equation for a.

2⁄b2 and 4⁄b3 = a Therefore, 2⁄b2 = 4⁄b3

Cross multiply: 2b3 = 4b2 Divide both sides by b2

2b = 4 a = 2/4 = 1/2

b = 2

y = 1 (2)x

2 hopefully this helped.

Answer:

y=3(4) x

Step-by-step explanation:

Answer:

3 minutes; 27 minutes; 30 minutes

Step-by-step explanation:

Let the common multiplier of the given ratios be x. So, the ratios 1: 9 : 10 will become x, 9x and 10x respectively.

Therefore,

[tex]x + 9x + 10x = 1 \: hour \\ \\ 20x = 60 \: minutes \\ \\ x = \frac{60 \: minutes}{3} \\ \\ x = 3 \: minutes \\ \\ 9x = 9 \times 3 = 27 \: minutes \\ \\ 10x = 10 \times 3 = 30 \: minutes[/tex]

Thus, 1 hour in the ratio 1 : 9 : 10 can be divided as:

3 minutes; 27 minutes; 30 minutes

Answer:

No

Step-by-step explanation:

2X + 12=13x - 2x + 5

2X + 12= 11x+5

2x-11x = 5-12

-9x = -7

X = 7/9

so the answer is NO

Answer:

100°

Step-by-step explanation:

Anders Celsius used centigrade temperature scale along with mercury thermometers with a fixed boiling point of water at zero, he also used a fixed freezing point of water at the mark of 100-degree. This new scale was described in the year 1742 to Swedish Academy of Sciences.

Answer:

100 percent

Step-by-step explanation:

edge 2021

Answer:

f(x)=(3x+6)(x-2)

Step-by-step explanation:

(3x+6)

(x-2)

Answer:

C

Step-by-step explanation:

Answer:

give me a brainliest now

Step-by-step explanation:

Answer:

(a)positive

(b)negative

(c)positive

(d)positive

Answer:

B. the distributive property

Step-by-step explanation:

Distributive property can be used to expand the expression -2(3/4x+7).

When that property is used, we need to distrubute the monomial to the binomial which is the two terms.

[tex] - 2( \frac{3}{4} x + 7) \\ \Longrightarrow \boxed{- 2( \frac{3}{4} x) + - 2(7)} [/tex]

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Answer:

 b

Step-by-step explanation:

Answer:

Angle number 5 is adjacent to angle psl