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3 years ago

Please help me with this!

Mathematics

1 answer:

ZanzabumX [31]3 years ago

5 0

9514 1404 393

Answer:

2 1/2 feet

Step-by-step explanation:

The Pythagorean theorem is not useful in this problem.

If you reflect the triangle over the vertical line, you find that line to be the altitude of an equilateral triangle. That is, all of the vertex angles are 60°.

The base of that equilateral triangle is necessarily twice the length of the base of the triangle shown. All sides of the equilateral triangle are the same length, so all are 5 ft. The base of the triangle shown is half that.

The base (short leg) of the triangle shown is 2 1/2 feet.

_____

Since angles are given, this can be solved using trigonometry. The short leg will be (5 ft)·cos(60°) = (5 ft)(0.5) = 2.5 ft. (The cosine of 60° is one of the few exact rational values of trig functions of exact angles measured in degrees.)

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Sarah and her children went into a movie theater and she bought $35.50 worth of drinks and candies. Each drink costs $5 and each

Scilla [17]

Answer:

The number of drinks that Sarah bought was 2 and the number of candies that Sarah bought was 6

Step-by-step explanation:

Let

x ----> the number of drinks that Sarah bought.

y ----> the number of candies that Sarah bought.

we know that

she bought $35.50 worth of drinks and candies

$5x+4.25y=35.50$ -----> equation A

She bought 3 times as many candies as drinks.

$y=3x$ -----> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

The solution is the point (2,6)

see the attached figure

therefore

The number of drinks that Sarah bought was 2 and the number of candies that Sarah bought was 6

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Read 2 more answers

Write an equation of the line that passes through (-3,3) and is perpendicular to the line 2y = 8x - 6.

White raven [17]

Answer:

y = -0.25x + 2.25

Step-by-step explanation:

First, you can simplify the equation of the line it's perpendicular to (2y = 8x - 6) by dividing both sides by 2. This means you would get y = 4x - 3. From that you can conclude that the slope of that line is 4.

Lines always have a slope that is the negative reciprocal of the slope of the line they are perpendicular to, so you know the slope of the line is going to be -1/4.

So far, you have the equation y = -1/4x + b and you have to find b.

You can substitute in the point (-3, 3) so you would have 3= -1/4 * -3 + b

Solving,

3 = 3/4 + b

b = 2 and 1/4

Therefore the equation is y = -1/4x + 2 1/4 or y = -0.25x + 2.25

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3 years ago