Unit 9 test: Trigonometry
What’s the correct answer to this problem

Answer:

3[tex]\sqrt{3}[/tex]

Step-by-step explanation:

in a 30-60-90 triangle, the side across from 60° is [tex]\sqrt{3}[/tex] multiplied by the side across from 30°

the side across from 90° (the hypotenuse) is double the side across from 30°

Răspuns:

150 m

Explicație pas cu pas:

Reamintim:

Perimetrul unui dreptunghi, P

P = 2 (lungime + lățime)

P = 400

Lățime = x

Lungime = 3x

Astfel, avem:

400 = 2 (3x + x)

400 = 2 (4x)

400 = 8x

Împărțiți ambele părți la 8

50 = x

Lungime = 3x

Lungime = 3 * 50

Lungime = 150 m

Remember

Here

there is no starting or ending point

so domain is

(-oo,oo)

The domain of the absolute value function given is (-∞, +∞).

A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.

Domain of a function is the set of all the input values and the range of the function is the set of all the output values.

Given is an absolute value function.

Absolute value functions are functions which has the absolute value symbols in the expression.

From the graph, we can see that the value of x moves from negative infinity to infinity.

Domain of the function is the set of input values which is the set of values of x.

So the domain is (-∞, +∞).

Hence the domain is (-∞, +∞).

Learn more about Absolute Value Function here :

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Answer:

28:12

Step-by-step explanation:

You multiply both sides by the same number to increase a ratio, the only one you can do this with is 28:12 by multiplying the original ratio by 4

Answer:

option D. 10

Step-by-step explanation:

[tex]\frac{34}{85} = \frac{4}{x}\\\\34 \times x = 4 \times 85\\\\x = \frac{340}{34} = 10[/tex]

Answer:

x = 10

Step-by-step explanation:

[tex] \dfrac{34}{85} = \dfrac{4}{x} [/tex]

Cross multiply.

34x = 4 × 85

34x = 340

Divide both sides by 34.

x = 10

Answer:

About 1.625

Step-by-step explanation:

I believe it is 1.625

( 2^2 + b^2 = 5^2 )

Answer:

9

Step-by-step explanation:

Answer:

15.85%

Step-by-step explanation:

Empirical rule states that for a normal distribution, 68% of the data falls within one standard deviation, 95% falls within two standard deviation and 99.7% falls within three standard deviation.

Given mean (μ) = 41 months, standard deviation (σ) = 5 months

One standard deviation = μ ± σ = 41 ± 5 = (36, 46)

Therefore 68% falls within 36 months and 41 months

Two standard deviation = μ ± 2σ = 41 ± 2(5) = (31,51)

Therefore 95% falls within 31 months and 51 months

Three standard deviation = μ ± 3σ = 41 ± 3(5) = (26, 56)

Therefore 99.7% falls within 26 months and 56 months

The percentage of cars that remain in service between 46 and 51 months = 32%/2 - 0.3%/2 = 16% - 0.15% = 15.85%

Answer:

D, 144

Step-by-step explanation:

Find x first by solving 9x+27=6x+66, and plug x in to the angle RSL.

Answer:

x = 1

Step-by-step explanation:

x - 4 = -3

(add 4 to both sides)

x - 4 + 4 = -3 + 4

x = 1

Answer:

x = 1

Step-by-step explanation:

So you have to separate the x from the rest of the equation

so you can add 4 to both sides so x is by itself

so ur left with:

x = -3 + 4

and that is equal to x = 1

Hope that helps :)

Answer:

1/3n-3÷6

Step-by-step explanation:

3 is subtraced form 1/3

Answer:

n < 27

Step-by-step explanation:

1/3n - 3

1/3n - 3 < 6

Add 3 to each side.

1/3n - 3 + 3 < 6 + 3

Combine like terms.

1/3n < 9

Divide each side by 1/3.

1/3n ÷ 1/3 < 9 ÷ 1/3

Combine like terms.

n < 27

Answer:

5.670

Step-by-step explanation:

To compute 1.35 x 4.2

First, we need to convert both decimals to fraction

1.35 = 135/100

4.2 = 42/10

Taking the product

1.35 x 4.2

= 135/100 * 42/10

= (135*42)/(100*10)

= 5670/1000

= 5.670

Hence the product of both numbers is 5.670

Answer:

5.66

Step-by-step explanation:

(-1,-3) (-5,1)

√(x2 - x1)² + (y2 - y1)²

√[-5 - (-1)]² + [1 - (-3)]²

√(-4)² + (4)²

√(16) + (16)

√32

= 5.66

[tex](4 {x}^{2} + 9x - 7) - ( - 7 {x}^{2} + 5x - 1) \\ = (11 {x}^{2} + 4x - 6)[/tex]

Answer:

11x^2+4x-6

Step-by-step explanation:

[tex]4x^2+9x-7+7x^2-5x+1\\\\simplify: 11x^2+4x-6[/tex]

Answer:

A

Step-by-step explanation:

Total amount of faces of object = 6

Surface area = length x height

2(4*10) + 2(10*17) + 2(4*17)

=2(40) + 2(170) + 2(68)

= 80 + 340 + 136

= 556cm^2

Answer:

9

Step-by-step explanation:

I'm somewhat confused I think you're forgot to put so more information

The value that makes the inequality n > -8 true will be -2. Thus, the correct option is A.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality is given below:

n > -8

The value of n is greater than -9. Then the value that makes the inequality n > -8 true will be -2.

Thus, the correct option is A.

More about the inequality link is given below.

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The missing options are given below.

a) - 2

b) - 9

c) - 10

d) - 20

Answer:

95 degrees

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

An input can only have one output.

Answer:

I think it is (7,5)

Step-by-step explanation:

Answer:

102 degrees

Step-by-step explanation:

Since the total of all the angles inside a triangle must be 180 degrees, we can find out the value of x using a simple equation.

41+37+x = 180

78 + x + 180

x = 102

Answer:

t > 28

Step-by-step explanation:

Given

> 7 ( multiply both sides by 4 to clear the fraction )

t > 28

Answer:

[tex]t > 28[/tex]

Step-by-step explanation:

Multiply both sides of the inequality by 4:

[tex]4 \times \frac{t}{4} > 4 \times 7[/tex]

Reduce the number with the greatest common factor 4:

[tex]t > 4 \times 7[/tex]

Multiply the number:

[tex]t > 28[/tex]

Sample Answer:

2x^12

Step-by-step explanation:

So whenever an exponent is to an exponent, simply multiply the exponents together:

(2x^3)^4 --> 2x^12

This simplified form of the question is a new, equivalent expression.

Answer:

$12

Step-by-step explanation:

Half of $36 would be $18. $18 divided by 3 would be $6. $6 times 2 would be $12. Half comes from the 1/2 of money spent on Thursday. Dividing it by 3 comes from the remainder on Wednesday. We divide it by 3 since the denominator of 2/3 is 3. We then multiply it by 2, since the numerator in 2/3 is 2.

Answer:50,400

Step-by-step explanation:

Answer:

$630

Step-by-step explanation:

week 1 : $336

week 2 : $294

gross pay : $630

9514 1404 393

Answer:

  408.4 in²

Step-by-step explanation:

The lateral area of a cone is ...

  LA = 1/2πds . . . . . . . where d is the diameter and s is the slant height

Using the given dimensions, the area of the hat is ...

  LA = 1/2π(20 in)(13 in) = 130π in² ≈ 408.4 in²

The surface area is about 408.4 in².