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LekaFEV [45]
3 years ago
7

PLEASE HELP ME!! How do you solve??

Mathematics
1 answer:
Fudgin [204]3 years ago
7 0
Number 4 is 1
3-x = -x + 3
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P(x) = 2x^4 - x^3 + 2x^2 - k where k is an unknown integer. P(x) divided by (x+1) has a remainder of 2. What is the value of k?
loris [4]

Answer:

k = - 3

Step-by-step explanation:

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5l of 70% alcohol solution was mixed with 9l of pure water what is the concentration of the mixture
ElenaW [278]

The new mixture has a total volume of 5 L + 9 L = 14 L.

70% of the 5 L alcohol solution is alcohol, so that it contributed 3.5 L of alcohol to the mixture. The pure water contributed no alcohol. So in the mixture, the concentration of alcohol is

3.5 L / 14 L = 0.25, or 25%

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Free_Kalibri [48]

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From the side of a hill wai-kin looks up at the top of a nearby vertical cliff at an angle of elevation of 36 degrees and looks
oksano4ka [1.4K]

Answer:

881.5 meters.

Step-by-step explanation:

The horizontal plane at the level of wai-kin's eyes divide the height of the cliff into two parts. Let the upper part be represented by x and the lower part be represented by y.

The height of the cliff = x + y

Applying the appropriate trigonometry functions.

To determine the value of x;

Tan θ = \frac{opposite}{adjacent}

Tan 36^{o} = \frac{x}{490}

⇒ x = 490 x Tan 36^{o}

      = 490 x 0.7265

     = 355.985

x = 356 meters

To determine the value of y;

Tan θ = \frac{opposite}{adjacent}

Tan 47^{o} = \frac{y}{490}

⇒ y = 490 x Tan 47^{o}

      = 490 x 1.0724

      = 525.476

y = 525.5 meters

Therefore,

The height of the cliff = x + y

                                   = 355.985 + 525.476

                                   = 881.461

The height of the cliff is 881.5 meters.

3 0
3 years ago
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