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3 years ago

Pls help me not fail

Mathematics

1 answer:

nignag [31]3 years ago

4 0

Answer:

Step-by-step explanation:

Using the Cosine rule to find AC

AC² = BC² + AB² - (2 × BC × AB × cosB )

= 18² + 12² - ( 2 × 18 × 12 × cos75° )

= 324 + 144 - 432cos75°

= 468 - 111.8

= 356.2 ( take the square root of both sides )

AC = $\sqrt{356.2}$ ≈ 18.9

-----------------------------------------

Using the Sine rule to find ∠ A

$\frac{18}{sinA}$ = $\frac{18.9}{sin75}$ ( cross- multiply )

18.9 sinA = 18 sin75° ( divide both sides by 18.9 )

sinA = $\frac{18sin75}{18.9}$ , then

∠ A = $sin^{-1}$ ( $\frac{18sin75}{18.9}$ ) ≈ 66.9°

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Geometry - Similar

oee [108]

Answer:

the length of AB=5cm

I hope this help you

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2 years ago

Janna drank 0.7 liter of water before soccer practice and 0.70 liter of water after practice compare the two decimals using grea

maria [59]

0.7 Liters and 0.70 Liters are the same amount.

You can think of them as fractions: 7/10 and 70/100. Both of these mean the same. 7/10 is the simplest form of the number.

When you put zeros to the right of any number that is to the right of the decimal point, it will not change the value of the number.

0.7 L = 0.70 L

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3 years ago

give the answers to the remaining boxes left blank, you can give the answers all in one sentence starting from the first blank b

Thepotemich [5.8K]

The domain of the functions are:

The domain of f(x) = √4x + 6 is [-3/2, ∞) or x >-3/2
The domain of g(x) = -4√-20x - 6 is (-∞, -3/10] or x < -3/10
The domain of f(x) = 15 + √5x - 16 is [16/5, ∞) or x >16/5
The domain of p(x) = √20x + 6 is (-3/10, ∞] or x > -3/10

<h3>What are the domains of a function?</h3>

The domain of a function is the set of input values the function can take i.e. the set of values the independent variable can assume?

<h3>How to determine the domain of the functions?</h3>

<u>Function 1</u>

The function is given as:

f(x) = √4x + 6

Set the radicand greater than 0

4x + 6 > 0

Subtract 6 from both sides

4x > -6

Divide by 4

x > -3/2

Express as interval notation

[-3/2, ∞)

Hence, the domain of f(x) = √4x + 6 is [-3/2, ∞) or x >-3/2

<u>Function 2</u>

The function is given as:

g(x) = -4√-20x - 6

Set the radicand greater than 0

-20x - 6 > 0

Add 6 to both sides

-20x > 6

Divide by -20

x < -6/20

Simplify

x < -3/10

Express as interval notation

(-∞, -3/10]

Hence, the domain of g(x) = -4√-20x - 6 is (-∞, -3/10] or x < -3/10

<u>Function 3</u>

The function is given as:

f(x) = 15 + √5x - 16

Set the radicand greater than 0

5x - 16 > 0

Add 16 to both sides

5x > 16

Divide by 5

x > 16/5

Express as interval notation

[16/5, ∞)

Hence, the domain of f(x) = 15 + √5x - 16 is [16/5, ∞) or x >16/5

<u>Function 4</u>

The function is given as:

p(x) = √20x + 6

Set the radicand greater than 0

20x + 6 > 0

Subtract 6 from both sides

20x > -6

Divide by 20

x > -6/20

Simplify

x > -3/10

Express as interval notation

(-3/10, ∞]

Hence, the domain of p(x) = √20x + 6 is (-3/10, ∞] or x > -3/10