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Alina [70]
3 years ago
10

In many cases the Law of Sines works perfectly well and returns the correct missing values in a non-right triangle. However, in

some cases the Law of Sines returns two possible measurements.
Consider the diagram below, and assume that m∠B=61∘, ¯¯¯¯¯¯¯¯AB=4.27 cm, and ¯¯¯¯¯¯¯¯AC=3.98 cm.



Using the Law of Sines, determine the value of m∠C. You should notice that there are actually two possible values - list both of them (separated by a comma).
m∠C=  °   

If we assume the diagram is to scale, which value of m∠C makes more sense? Enter the appropriate value.
m∠C=  °   

Using your answer to part (b), determine the length of BC.
¯¯¯¯¯¯¯¯BC=  cm   


​

Mathematics
1 answer:
Minchanka [31]3 years ago
7 0

Answer:

Step-by-step explanation:

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A customer requires a car service for 80 miles,
Xelga [282]

Answer:

$25

Step-by-step explanation:

Derive an equation to represent the cost of using each ride.

Sal's Car Rides:

Using 2 pairs of values from the table, (0, 40) and (20, 80), find the slope, m (fee per mile).

m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{80 - 40}{20 - 0} = \frac{40}{20} = 2

The y-intercept, b, is the one-time fee for fuel. This is the value of the cost ($) when number of miles traveled is 0.

Thus, b = 40.

Substitute m = 2, and b = 40 into y = mx + b.

Equation for the total cost for Sal's Car Rides would be:

y = 2x + 40.

Find the total cost to be charged if a customer requires the a car service for 80 miles if he chooses Sal's Car Rides.

Simply substitute x = 80 in y = 2x + 40.

y = 2(80) + 40 = 200

The customer would pay $200.

Ray's Limo:

The equation that represents the total cost (y) to be charged for number of miles (x), given that $2.50 is charged per mile plus a one-time fee of $25 for fuel, would be:

y = 2.5x + 25.

If a customer uses Ray's Limo services for 80 miles, the cost charged would be:

Substitute x = 80 in y = 2.5x + 25.

Thus:

y = 2.5(80) + 25 = 225.

The fee the customer would pay = $225 for using Ray's Limo services.

Therefore, if the customer takes Sal's Car Rides instead of Ray's Limo, he would save, $225 - $200 = $25.

The customer would save $25.

8 0
3 years ago
1400 concert tickets were sold for the festival. tickets cost $25 for covered pavilion seats and $10 for lawn seats. total recei
zalisa [80]
Each type of ticket, 400 of them were sold. :)
3 0
3 years ago
Translate each sentence into an equation
Mazyrski [523]

Answer:

1. X/2 = 4

2. 3x - 2 = 11

3. 2x - 5 = 15

4. 2x-1=12

5. 9x = 2(x+5)

Step-by-step explanation:

8 0
3 years ago
Im bad at composite figures || please hurry
goldfiish [28.3K]

The figure is the combination of trapezoid and square. Then the area of the figure will be 39 square meters.

The complete question is attached below.

<h3>What is Geometry?</h3>

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

The figure is the combination of trapezoid and square.

Then the area of the geometry will be

Area = Area of trapezoid + Area of square

Area = 1/2 x (3 + 9) x 5 + 3 x 3

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brainly.com/question/7558603

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2 years ago
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Vinvika [58]

Answer: 4y^{2}(2x-9y)^{2}

Step-by-step explanation:

We have the following polynomial:

(4xy-18y^{2})^{2}

This is a polynomial of the form (a-b)^{2}=a^{2}-2ab+b^{2}. Following this rule to expand it, we have:

(4xy)^{2}-2(4xy)(18y^{2})+(18y^{2})^{2}

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Applying common factor 4y^{2}:

4y^{2}(4x^{2}-36xy+81y^{2})

Note the polynomial inside the parenthesis is a perfect square trinomial, which can be factored to(2x-9y)^{2}. Hence, the final simplification is:

4y^{2}(2x-9y)^{2}

3 0
3 years ago
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