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kvasek [131]
2 years ago
12

Find the measure of each side indicated. Round to the nearest tenth.

Mathematics
2 answers:
Svet_ta [14]2 years ago
5 0

Answer:

\huge\boxed{x = 25.3}

Step-by-step explanation:

Tan θ = opposite / adjacent

Where θ = 66.5 , opposite = x and adjacent = 11

Tan 66.5 = x / 11

2.3 * 11 = x

25.3 = x

OR

x = 25.3

mihalych1998 [28]2 years ago
4 0

Answer:

D. 25.3

Step-by-step explanation:

tan∅ = opposite over adjacent

Step 1: Write equation

tan66.5° = x/11

Step 2: Multiply both sides by 11

11tan66.5° = x

Step 3: Evaluate

x = 25.2983

x ≈ 25.3

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H(x)= 9/x( x^2-49)<br> Determine the domain of the function
Norma-Jean [14]

Answer: The domain of the function h(x) = \frac{9}{x(x^2-49)} is:

Interval Notation: (-∞ , -7) ∪ (-7 , 0) ∪ (0 , 7) ∪ (7, ∞)

Set-Builder Notation: { x | x ≠ 0 , 7 , -7 }

All real numbers besides 0, 7, and -7.

Step-by-step explanation:

In order to find the domain of your rational function, we need to simplify it:

h(x) = \frac{9}{x(x^2-49)} = \frac{9}{(x)(x+7)(x-7)}

Remember, most of the time, the domain of a rational function consists of all real numbers besides zero.

To find the domain, we equal the equations in the denominator to zero.

x=0

x+7=0 --> x=-7

x-7=0 --> x=7

So all real numbers except for 0, -7, and 7 are in the domain of this rational function.

8 0
3 years ago
How many sides does a polygon have if the sum of the measures of the interior angles is 3960
anastassius [24]

Answer: the polygon has 20 sides.

Step-by-step explanation:

The formula for determining the sum of the measure of the interior angles in a regular polygon is expressed as (n - 2) × 180.

if the sum of the measures of the interior angles is 3960

degrees. This means that

(n - 2) × 180 = 3960

Expanding the brackets by applying the distributive property, it becomes

180n - 360 = 3960

180n = 3960 - 360

180n = 3600

Dividing both sides by 180, it becomes

n = 3600/180

n = 20

6 0
3 years ago
Solve the equation 4 x minus 7 space equals space 45 for x.
zimovet [89]

Answer:

x = 13

Step-by-step explanation:

For this problem, we will simply uses properties of addition and multiplication to isolate the x variable for the following equation.

4x - 7 = 45

Now consider the following. First, we must isolate the x term by adding 7 to both sides.

4x - 7 = 45

4x -7 +7 = 45 +7

4x = 52

Second, let's further isolate x by multiplying both sides by 1/4 to create a coefficient of 1 Infront of the x variable.

4x = 52

(1/4) * 4x = 52 * (1/4)

x = 13

Hence, we have solved the equation 4x-7=45 where x=13.

Cheers.

4 0
2 years ago
Can anyone help me with my homework
DIA [1.3K]
GFBH is the code

1 is -3,-2 which is G
2 is 3,4 which is F
3 is 2,0 which is B
4 is 1,-3 which is H
5 0
2 years ago
Find the measure of x . Answer me please
Komok [63]

Answer:

40

Step-by-step explanation:

The sum of measure of exterior angles is equal to 360

5x-20+2x+5+x+15+x = 360 add like terms

9x = 360 divide both sides by 9

x = 40

4 0
3 years ago
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