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disa [49]
3 years ago
8

What is the length of BC?please help!!!

Mathematics
1 answer:
Ivenika [448]3 years ago
4 0

Answer:

2.1

Step-by-step explanation:

using cosine theorem or substraction of two vector

b = AC = 5

c = AB = 6

a² = b² + c² - 2bc cos A

a² = 5² + 6² - 2*5*6 cos 20°

a² = 4.62

a = √4.62

a = 2.149

a ≈ 2.1

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5, -15, 45, -135 identify the common ratio , then write the sequence as a geometric series
Novay_Z [31]

Answer:

Common ratio: -3

Geometric sequence: an=5(-3)^n-1

Step-by-step explanation:

Each number multiplied by -3 gets the product of the next number. (5*-3= -15)

8 0
3 years ago
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Mariana [72]

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4 0
3 years ago
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Which expression is equivalent to (16x^8y^-12)^1/2
MAVERICK [17]

Answer:

The equivalent expression is \Rightarrow \dfrac{4x^4}{y^6}

Step-by-step explanation:

Given: (16x^8y^{-12})^{1/2}

We need to simplify the expression. We will distribute radical with each term inside the parentheses.

\Rightarrow (16x^8y^{-12})^{1/2}

Distribute the radical

\Rightarrow 16^{1/2}\cdot x^{8\cdot 1/2\cdot y^{-12\cdot 1/2}

\Rightarrow 4\cdot x^4\cdot y^{-6}

\Rightarrow 4x^4y^{-6}

Now we will simplify the negative exponent.

\Rightarrow \dfrac{4x^4}{y^6}

Hence, The equivalent expression is \Rightarrow \dfrac{4x^4}{y^6}

8 0
3 years ago
Please select the correct answer!
ioda

Answer:

the value of x must be -2 . ie option b

7 0
2 years ago
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Which is a reasonable estimate of the constant of variation?
Gekata [30.6K]

Answer: B 0.5 kWh per day

Step-by-step explanation:

Since the graph represents the function where electricity usage in kilowatts per hour of a clock radio varies directly with the number of days it is plugged into the wall current

The constant of variations will be the gradient ( slope ) of the graph.

Gradient = (Y2 - Y1)/(X2 - X1)

Where X1 = 2, X2 = 6, Y1 = 0.5, Y2 = 1.5

Substitute all the values into the formula

Gradient = (1.5 - 0.5)/( 6 - 4 )

Gradient = 1/2

Gradient = 0.5.

Therefore, a reasonable estimate of the constant of variation is 0.5 kWh per day

6 0
3 years ago
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