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3 years ago

A ski slope on a mountain has an angle of elevation of 25.2°. The vertical rise(height of mountain) of the

Mathematics

2 answers:

Bad White [126]3 years ago

8 0

Answer:

4246

Step-by-step explanation:

Ray Of Light [21]3 years ago

4 0

The correct answer is 4246

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Convert the polar coordinates (-3, -60°) to Cartesian coordinates.

notsponge [240]

Answer:

(1.5,-2.6)

Step-by-step explanation:

Given the polar coordinates (-3,60°).

Let our Cartesian coordinates be (x,y)

#We know that when converting the rectangular coordinates (x,y) to polar (r,θ), then:

$r=\sqrt{x^2+y^2}\\\\\therefore r^2=x^2+y^2\\\\\theta=tan^{-1}(y/x)\\\therefore tan \theta=y/x$

#Using the illustration above, we can express our polar coordinates as:

$-3=\sqrt{x^2+y^2}\\\\-60\textdegree=tan^{-1}(y/x}$

#Solve simultaneously to solve for x and y:

$(-3)^2=x^2+y^2\ \ \ \ \ \ \ \ \ \ i\\\\tan(-0\texdegree)=y/x\ \ \ \ \ \ \ \ ...ii\\\\y=x\ tan(-60\textdegree)\ \ \ \ \ \ \ ...iii\\\\\#substitute\ y \ in\ i\\\\(-3)^2=x^2+(x \ tan (-60\textdegree))^2\\\\9=x^2+3x^2\\\\x=\sqrt{9/4}=1.5\\\\y=1.5\ tan(-60\textdegree)=-2.5981\approx-2.6$

Hence, the Cartesian coordinates are (1.5,-2.6)

6 0

3 years ago

Solve for k. 14k+ 17 > 3

Alborosie

Answer:

Step-by-step explanation:

5rrrrrrrrrrrrrffrrffjfhrhrhrhffhffh

6 0

2 years ago

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For a class project, students collect data about the ages of the male students (a) and their heights in inches (h). There was a

otez555 [7]

Since the equation, h=1.6a+41, is linear, we know that the coefficient of x, or in this case a, is the slope. Therefore the correct answer would be

The model predicts that for each year older a male student is, he is about 1.6 inches taller.

8 0

3 years ago

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($23 dollars per person)The cost of the hall for the dance is $4000 dollars How many people must attend the dance to cover the r

garik1379 [7]

Answer:

174

Step-by-step explanation:

Rental Fee ÷ Cost of Ticket = # of people needed

$4000÷$23=173.9....

Can't have .9 of a ticket, so round up to 174.

# of people needed is 174

8 0

3 years ago

A city planner designs a park that is a quadrilateral with vertices at J(−1, 1), K(1, 3), L(5, −1), and M(−3, −1). There is an e

Vadim26 [7]

use the eqn below to find the mid-pts

x-mid-pt = (x₁+x₂)/2

y-mid-pt = (y₁+y₂)/2

J(−1, 1), K(1, 3), L(5, −1), and M(−3, −1)

midpoint JK = (-1+1/2, 1+3/2) = (0,2)

midpoint KL = (1+5/2, 3+⁻1/2) = (3,1)

midpoint LM = (5+⁻3/2, ⁻1+⁻1/2) = (1,-1)

midpoint MJ = (⁻3+⁻1/2, -1+1/2) = (-2,0)

use the eqn to find distance:

d = √(x₂ - x₁)² + (y₂ - y₁)²

Distance between JK and LM = √(0⁻1)² + (2 - ⁻1)² = √1 + 9 = √10

Distance between JM and KL = √(3-⁻2)² + (1-0)² = √25 + 1 = √26

Scale is 10

Actual distance = 10*(√10 + √26) = 82.6 = 83 units

8 0

3 years ago

Read 2 more answers