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3 years ago

Find the slope of UV.*

Mathematics

1 answer:

ddd [48]3 years ago

7 0

Answer:

The slope of UV = 4

Step-by-step explanation:

Given the points

U(3, 1)

V(-1, 2)

Finding the slope of UV

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(-1,\:1\right),\:\left(x_2,\:y_2\right)=\left(-2,\:-3\right)$

$m=\frac{-3-1}{-2-\left(-1\right)}$

$m=4$

Thus, the slope of UV = 4

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3 years ago

At the Souvenir Shop, gemstone souvenirs cost $11.60 for 5. Which proportion can be used to find the cost of just 1 gemstone?

Natasha2012 [34]

Answer:

see below

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3 years ago

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.

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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

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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

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y = 525.5 meters

Therefore,

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= 355.985 + 525.476

= 881.461

The height of the cliff is 881.5 meters.

3 0

3 years ago