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zepelin [54]
3 years ago
11

Mountain High Ski Resort offers two “Learn to Snowboard" packages - Package A gives you 5

Mathematics
1 answer:
snow_lady [41]3 years ago
3 0

Answer: Package B is least expensive; Will save $5

Step-by-step explanation:

Package A

$200 for 5 lesson=$40/lesson

Package B

$350 for 10 lesson=$35/lesson

35<40

Package B is least expensive

-------------------------------------------------------

 40 (Package A)- 35 (Package B)

=$5

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Identify the values of the variables. Give your answers in the simplest radical form.
Lena [83]

Answer/Step-by-step explanation:

✔️Find k:

Reference angle = 60°

Hypotenuse = k

Opposite = 9

Therefore, using trigonometric ratio, we have:

sin(60) = \frac{9}{k}

Multiply both sides by k

k*sin(60) = 9

Divide both sides by sin(60)

k = \frac{9}{sin(60)}

k = \frac{9}{\frac{\sqrt{3}}{2}}

k = 9*\frac{2}{\sqrt{3}}

k = \frac{18}{\sqrt{3}}

Rationalize

k = \frac{18*\sqrt{3}}{\sqrt{3}*\sqrt{3}}

k = \frac{18\sqrt{3}}{3}

k = 6\sqrt{3}

✔️Find f:

Reference angle = 60°

Opposite = 9

Adjacent = f

Therefore, using trigonometric ratio, we have:

tan(60) = \frac{9}{f}

Multiply both sides by f

f*tan(60) = 9

Divide both sides by tan(60)

f = \frac{9}{tan(60)}

k = \frac{9}{\sqrt{3}}

Rationalize

k = \frac{9*\sqrt{3}}{\sqrt{3}*\sqrt{3}}

k = \frac{9\sqrt{3}}{3}

k = 3\sqrt{3}

8 0
3 years ago
What does it mean to draw and label a line a line segment a ray and an angle
AVprozaik [17]

Answer:

A line in geometry is a straight line that goes on infinitely in two directions. To draw a line, you would draw a straight line and add two small arrows on both ends to indicate that they stretch infinitely. To label a line, you would either label two points on the line, or you can assign a letter to the line. (Example: ↔AB or line A)

A line segment is similar to a line, but it doesn't go infinitely in either direction. To draw a line segment, you would draw two points and connect them. To label a line segment, you would label the two endpoints. (Example: ¯AB)

A ray is a line with one side that extends infinitely. To draw a ray, you would draw a point, draw a line from the point going in any direction, and add an arrow on the other end to indicate that it extends forever. To label a ray, you would label the endpoint and some other point on the ray. (Example: →AB)

An angle is the shape formed by two rays that have a common endpoint. To draw an angle, you would draw an endpoint and make two separate rays coming off of it. Then you would draw a short arc in the space between the rays to indicate that it is an angle. There are three ways to label an angle:

1. Label the vertex (∠A)

2. Label a point on one ray, the endpoint, then a point on the other ray (∠BAC)

3. Label the angle with a number or letter (∠1, ∠A)

8 0
3 years ago
Surface area of the triangle game case
julia-pushkina [17]
I believe its 147 in ² :))))))

2(10*3)=60

2(1/2*10*8.7)=87

60+87=147
3 0
4 years ago
Read 2 more answers
The vertices of triangle ABC are A(2, -5), B(-3, 5), and C(3, -3). The triangle is reflected over the x-axis. Use arrow notation
sergiy2304 [10]
Okay, here goes. Notice that since the line of reflection was the x-axis, the x-coordinate of each vertex stays the same and the y-coordinate of each vertex is the opposite of the original vertex, so in that case the answer is 4 or D.
7 0
3 years ago
What is the perimeter of this rectangle?<br><br> (IXL)
Neko [114]

Answer: 40.6

Step-by-step explanation:

When finding perimeter, you have to add all sides. 16 plus 16 equals 32. 4.3 plus 4.3 equals 8.6. 8.6 plus 32 equals 40.6

4 0
3 years ago
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