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3 years ago

Given the figure below, 11 || 12. Also m_g = 4x + 6 and mZh=6x - 36.

Mathematics

1 answer:

lara [203]3 years ago

8 0

Answer:b c eStep-by-step explanation:

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You and another person are sunbathing on the beach near a lifeguard station. The other person chooses a spot that is the same di

Schach [20]

Answer: 26.8 feet

Step-by-step explanation:

In the figure attached you can see two right triangles triangle ABD and a triangle ACD.

You are located at point B and the other person at point C.

The approximate height of the lifeguard station is x.

Keep on mind that:

$tan\alpha=\frac{opposite}{adjacent}$

Therefore:

For the triangle ABD:

$tan(36\°)=\frac{x}{DC+11}$ [EQUATION 1]

For the triangle ACD:

$tan(46\°)=\frac{x}{DC}$ [EQUATION 2]

Solve from DC from [EQUATION 2]:

$DC=\frac{x}{tan(46\°)}$

Substitute into [EQUATION 1] and solve for x:

$tan(36\°)=\frac{x}{(\frac{x}{tan(46\°)}+11)}\\tan(36\°)(\frac{x}{tan(46\°)}+11)=x\\11*tan(36\°)=x-\frac{xtan(36\°)}{tan(46\°)}\\7.991=0.298x$

$x=26.81ft$ ≈26.8ft

7 0

3 years ago

14. Given: 5x + 4y = 24, x + 7y= 11; Prove: y= 1 Statements reasons

Semenov [28]

Answer:

Step-by-step explanation:

We can use the process of elimination as

5x + 4y = 24

5(x + 7y = 11) —> 5x + 35y = 55

5x + 4y = 24

-(5x + 35y = 55)

—————————

-31y = -31

-31y/-31 = -31/-31

y=1

4 0

3 years ago

If g(x) = 5x2^2 - 10x + 9 and h(x) = -3x3^3+ 5x - 6, find g(x) - h(x)?

AnnZ [28]

Answer:

B) $g(x) - h(x) = 3x^3 - 5x^2 - 15x + 15$

Step-by-step explanation:

Here, the given functions are:

$g(x) = 5x^2- 10x + 9 \\h(x) = -3x^3+ 5x - 6$

Now, g(x) - h(x) is :

$(5x^2- 10x + 9) - ( -3x^3+ 5x - 6)\\= 5x^2- 10x + 9 + 3x^3 - 5x + 6\\= 3x ^3 + 5x ^2+ (-10 x - 5 x) + (9 + 6)\\= 3x^3 - 5x^2 - 15x + 15$

⇒ $(5x^2- 10x + 9) - ( -3x^3+ 5x - 6) = 3x^3 - 5x^2 - 15x + 15$

B) Hence, $g(x) - h(x) = 3x^3 - 5x^2 - 15x + 15$

3 0

3 years ago

What is the answer is it A. or B. or C. ?

nekit [7.7K]

Answer:

i believe its b

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

The planning committee at school has 10 members. Exactly four of these members are teachers. A four-person subcommittee with at

Kipish [7]

Answer:

865

Step-by-step explanation: The set of possibilities are:

Subcommittee is of 4 people according to:

4 teachers 0 other member total possibilities 1

3 teachers 1 teachers C₄,₃ = 4 and other member 6 6*4 = 24

2 teachers 2 C₄,₂ = 4!/2! = 12 2 (om) and C₆,₂ = 6!/4! = 30

30*12 = 360

1 teacher 3 (om) 4 and C₆,₃ = 6!/3! = 120

120*4 = 480

Total ways of committee 1 + 24 + 360 + 480 = 865

4 0

3 years ago