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3 years ago

Please help me ASAP. This is for Trigonometry, Math

Mathematics

1 answer:

Rufina [12.5K]3 years ago

5 0

Answer: C) exactly one triangle

Step-by-step explanation:

Given: ∠A = 45°, ∠B = 65°, side c = 4 cm

By the Triangle Sum Theorem, ∠C = 70°

Now you have a proportion so you can use the Law of Sines to find the exact length of side a and of side b.

$\dfrac{\sin\angle A}{a}=\dfrac{\sin\angle B}{b}=\dfrac{\sin\angle C}{c}\\\\\\\dfrac{\sin 45^o}{a}=\dfrac{\sin65^o}{b}=\dfrac{\sin70^o}{4}$

Thus, there is exactly one triangle.

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Lady_Fox [76]

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3 years ago

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Find out for what value of the variable:

Burka [1]

Answer:

$a=-1,\ a=-5$

$x=-2+i,\ -2-i$

Step-by-step explanation:

Equations

We have two cases where some variable is required to be found such that some condition is met. The first case is about finding the value of a that complies:

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$a^2+6a+5=0$

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$(a+1)(a+5)=0$

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3 years ago

A worker at a factory earns $12 per hour plus 2.50 for each unit produced that hour. The worker earns a total of $27 in one hour

nevsk [136]

Answer:

The total number of units produced is 6 .

Step-by-step explanation:

Given as :

The earning of worker at the factory = $ 12 per hour + $ 2.50 each unit per hour

The total earning of worker per hour = $ 27

Let The total number of unit produced = x

According to question

The wage worker earn per hour + earning × per unit produced that hour = Total earning of worker per hour

Or, $ 12 per hour + $ 2.50 each unit per hour × x = $ 27

Or, $ 2.50 each unit per hour × x = $ 27 - $ 12

Or, $ 2.50 each unit per hour × x = $ 15

∴ x = $\frac{15}{2.50}$

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3 years ago

Having a small brain moment, can you please help and show work

ankoles [38]

Answer:

The value if x is 0.9875.

Step-by-step explanation:

First, we have to get rid of brackets by expanding :

$0.5(2x + \frac{3}{4} ) - \frac{1}{3} (0.1 + x) = 1$

$0.5(2x) + 0.5( \frac{3}{4} ) - \frac{1}{3} (0.1) - \frac{1}{3} (x) = 1$

$x + \frac{3}{8} - \frac{1}{30} - \frac{1}{3} x = 1$

Next you have to collect like terms :

$x - \frac{1}{3} x + \frac{3}{8} - \frac{1}{30} = 1$

$\frac{2}{3} x + \frac{41}{120} = 1$

Lastly, you can solve x :

$\frac{2}{3} x = 1 - \frac{41}{120}$

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2 years ago

The graph below displays the wrist circumferences and heights of six students in Alyssa’s classroom.

coldgirl [10]

Answer:

Option D(No because the wrist circumference of 16 cm is paired with two heights.

Step-by-step explanation:

In the given graph we have set of points representing the wrist circumferences and heights of six students in Alyssa’s classroom.

x axis represents the wrist circumference while y axis represent the height.

Any relation is called a function if for one value of x we have only one value of y. If the graph passes the vertical line test that is if a vertical line drawn touches the graph at only one point then the graph is called a function.In the given graph for x value x=16 there are two y values 162 and 165.So the graph is not a function.

Among all the options Option D(No because the wrist circumference of 16 cm is paired with two heights.) is the right answer.

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