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3 years ago

Which is the angle of depression from the lighthouse on the boat ?

Mathematics

2 answers:

Anastaziya [24]3 years ago

8 0

Answer:

∠4

Step-by-step explanation:

An angle of depression is measured from the horizontal downwards.

This is ∠4 in the diagram

poizon [28]3 years ago

5 0

Answer:

The angle of depression from the light house to the boat is <4

Step-by-step explanation:

From the figure we can see a light house and a boat.

The angle of depression means that angle from the horizontal downward to an object.

From the figure we can see that, <4 is the angle of depression from the light house to the boat.

Therefore the answer is <a

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Your employer has 600 business cards printed to you,and you gave away 280 of them to the nearest hundreth what percentage of the

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3 years ago

Two sets of equatic expressions are shown below in various forms: Line 1: x2 + 3x + 2 (x + 1)(x + 2) (x + 1.5)2 − 0.25 Line 2: x

kherson [118]

Answer: The correct line is

$\textup{Line 1 :}x^2+3x+2=(x+1)(x+2)=(x+1.5)^2-0.25.$

Step-by-step explanation: We are given the following two sets of quadratic expressions in various forms:

$\textup{Line 1: }x^2+3x+2=(x+1)(x+2)=(x+1.5)^2-0.25,\\\\\textup{Line 2 :}x^2+5x+6=(x+2)(x+3)=(x+2.5)^2+6.25.$

We are to select one of the lines from above that represent three equivalent expressions.

We can see that there are three different forms of a quadratic expression in each of the lines:

First one is the simplified form, second is the factorised form and third one is the vertex form.

So, to check which line is correct, we need to calculate the factorised form and the vertex form from the simplified form.

We have

$\textup{Line 1: }\\\\x^2+3x+2\\\\=x^2+2x+x+2\\\\=x(x+2)+1(x+2)\\\\=(x+1)(x+2),$

and

$x^2+3x+2\\\\=x^2+2\times x\times 1.5+(1.5)^2-(1.5)^2+2\\\\=(x+1.5)^2-2.25+2\\\\=(x+1.5)^2-0.25.$

So,

$\textup{Line 1 :}x^2+3x+2=(x+1)(x+2)=(x+1.5)^2-0.25.$

Thus, Line 1 contains three equivalent expressions.

Now,

$\textup{Line 2: }\\\\x^2+5x+6\\\\=x^2+3x+2x+6\\\\=x(x+3)+2(x+3)\\\\=(x+2)(x+3),$

and

$x^2+5x+6\\\\=x^2+2\times x\times 2.5+(2.5)^2-(2.5)^2+6\\\\=(x+2.5)^2-6.25+6\\\\=(x+2.5)^2-0.25\neq (x+2.5)^2+6.25.$

So,

$\textup{Line 2 :}x^2+3x+2=(x+1)(x+2)=(x+1.5)^2+6.25.$

Thus, Line 2 does not contain three equivalent expressions.

Hence, Line 1 is correct.

7 0

3 years ago

3c/4 - 2c/4 = 4 (solve with work please)

xxMikexx [17]

Simplifying

2c + 3 = 3c + -4

Reorder the terms:

3 + 2c = 3c + -4

Reorder the terms:

3 + 2c = -4 + 3c

Solving

3 + 2c = -4 + 3c

Solving for variable 'c'.

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

Add '-3c' to each side of the equation.

3 + 2c + -3c = -4 + 3c + -3c

Combine like terms: 2c + -3c = -1c

3 + -1c = -4 + 3c + -3c

Combine like terms: 3c + -3c = 0

3 + -1c = -4 + 0

3 + -1c = -4

Add '-3' to each side of the equation.

3 + -3 + -1c = -4 + -3

Combine like terms: 3 + -3 = 0

0 + -1c = -4 + -3

-1c = -4 + -3

Combine like terms: -4 + -3 = -7

-1c = -7

Divide each side by '-1'.

c = 7

Simplifying

c = 7

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3 years ago

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