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3 years ago

Write the ratios for sins, cosX, and tanX

Mathematics

1 answer:

andre [41]3 years ago

8 0

Sin x = YZ/XZ
sin x = 12/13

cos x = XY/XZ
cos x = 5/13

tan x = sin x ÷ cos x
tan x = 12/13 ÷ 5/13
tan x = 12/5

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What is the solution to the equation 13.7y – 10.6 = 6.2y + 19.4?

Lyrx [107]

Answer:

Step-by-step explanation:

Simplifying

13.7y + -10.6 = 6.2y + 19.4

Reorder the terms:

-10.6 + 13.7y = 6.2y + 19.4

Reorder the terms:

-10.6 + 13.7y = 19.4 + 6.2y

Solving

-10.6 + 13.7y = 19.4 + 6.2y

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '-6.2y' to each side of the equation.

-10.6 + 13.7y + -6.2y = 19.4 + 6.2y + -6.2y

Combine like terms: 13.7y + -6.2y = 7.5y

-10.6 + 7.5y = 19.4 + 6.2y + -6.2y

Combine like terms: 6.2y + -6.2y = 0.0

-10.6 + 7.5y = 19.4 + 0.0

-10.6 + 7.5y = 19.4

Add '10.6' to each side of the equation.

-10.6 + 10.6 + 7.5y = 19.4 + 10.6

Combine like terms: -10.6 + 10.6 = 0.0

0.0 + 7.5y = 19.4 + 10.6

7.5y = 19.4 + 10.6

Combine like terms: 19.4 + 10.6 = 30

7.5y = 30

Divide each side by '7.5'.

y = 4

Simplifying

y = 4

4 0

2 years ago

Read 2 more answers

Choose the inequality that represents the following graph.

zmey [24]

Answer:

(b) x ≤ -4

Step-by-step explanation:

There are a few things to note when reading an inequality on a number line.

The number line would contain the following:

i. circles: These can be closed or open. Closed circles are denoted by a shaded small circle showing that the point or number shown on the number line is included in the inequality. Open circles are denoted by an unshaded small circle showing that the point or number shown on the number line is not included in the range of inequality.

ii. arrows: An arrow can point to the right or left. When it points to the right, that means the values greater than the number specified on the number line are included in the range. When it points to the left, the values less than the number are included.

From the given number line,

The type of circle is a closed circle since it is shaded. This means that the number pointed at on the number line (-4 in this case) is included in the range.

Also, the arrow is pointing leftwards. This means that values less than the number pointed at (-4 in this case) are included in the range.

Therefore, the inequality should read,

x ≤ -4

This shows that all values of x less than or equal to -4 are included in the range.

4 0

3 years ago

Simplify each expression. 1) 6(1 - 10p)- 7

Y_Kistochka [10]

Answer:

-60p - 1

Step-by-step explanation:

Distribute the parenthesis then add like terms together.

Step 1: Distribute

6 -60p - 7

Step 2: Combine like terms

-60p - 1

4 0

3 years ago

Read 2 more answers

Rome - Test Player

dexar [7]

D is the answer.

Step-by-step explanation:

9 + 6 + 5 = 20

5/20 = 25%

I hope this helps, have a good day!

8 0

2 years ago

Find the X Intercepts y=x^2-3x+6 PLEASE HELP ME

Nat2105 [25]

The x intrercepts is where the function crosses the x axis; In other words, it is where the output of the function is 0.

In a quadratic, you can start by factoring, if it’s unable to be factored then use the quadratic formula. Also, it is good to use the discriminate.

D= Discrimminate

D>0 2 real solutions

D=0 1 real solution

D<0 2 imaginary solutions.

The discrimminate is the equation/expression under the radical of the quadratic formula. With this formula, it’s not factorable. Using the discriminate it is also seen, as you’ll get a negative in the square root. This is imagenary because you cannot take the root of a negative value, which is why “i” is used to represent the square root of negative one.

3 0

2 years ago