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arsen [322]
2 years ago
14

Trig Functions Quiz, Help please

Mathematics
1 answer:
34kurt2 years ago
5 0

Answer:

angle C is 67.38⁰

Step-by-step explanation:

Given;

length AB = 36

length AC = 39

length BC = 15

The angle C can be calculated using cosine rule;

c^2 = a^2 + b^2 - 2ab\times cos(C)\\\\2ab\times cos(C) = a^2 + b^2 -c^2 \\\\cos(C) = \frac{a^2 + b^2 -c^2}{2ab} \\\\cos(C) =  \frac{(15)^2 + (39)^2 -(36)^2}{2(15)(39)} \\\\cos(C) = 0.3846\\\\C = cos^{-1} (0.3846)\\\\C = 67.38^0

Therefore, angle C is 67.38⁰

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Find the sum. Enter your answer in the box below as a fraction, using the slash mark ( / ) for the fraction bar.
Rom4ik [11]

Answer:

5/7

Step-by-step explanation:

2/7 + 3/7

Denominator are equal so adding numerator,

(2+3)/7 = 5/7

5 0
2 years ago
Please help fast<br> The graph shows the function f(x)
DedPeter [7]

Answer:

3/1

Step-by-step explanation:

The average rate of change is the distance between y values divided by the distance between x values. We know this as rise/run or slope for linear equations. For non-linear equations, we calculate the average over an interval.

This function has y-values of -1 at x=0 and 5 at x=2.

We add -1+5=6 and divide this by 2-0=2.

6/2=3.

The y-values on average change 3 units for every 1 unit of the x-values.

4 0
2 years ago
Simplify the function f(x)= 1/2 (27) 2x/3. Then determine the key aspects of the function
jeyben [28]
The given expression is:

f(x)= \frac{1}{2}(27)^{ \frac{2x}{3} } \\  \\ &#10;f(x)= \frac{1}{2}((27)^{ \frac{2}{3} })^{x}      \\  \\ &#10;f(x)=  \frac{1}{2}(9)^{x}

From the above equation, we can answer all the 4 questions.

a) Initial value occurs when x = 0

So,

f(0)= \frac{1}{2}(9)^{0}= \frac{1}{2}

So, the Initial value of the function is 1/2.

b) Simplified Base:
The base of an exponential function is the term which contains the exponent.
From the simplified equation, we can see that the base has been simplified and is equal to 9.

So, the simplified base is 9

c) Domain:
From the equation we can see that there is no such value which makes the function undefined. So all reall numbers are included in the Domain.

So, Domain is Set of All real numbers. 
In Interval notation this can be expressed as: (-∞,∞)

d) Range:
Range is the set of all y values that a function can take. Since the graph is not shifted vertically up or down, the range will be the set of all real numbers greater than zero.

So, Range is equal to All real numbers greater than 0.
In Interval notation, this can be expressed as (0,∞)
4 0
2 years ago
Read 2 more answers
Someone pls help me I will make you brain
mote1985 [20]

Answer:

k=4

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Rewrite the logarithm as a ratio of common logarithms and natural logarithms. log4 45
tiny-mole [99]

Answer:

Common logarithm

log_451= \frac{log_1_045}{log_1_08}

Natural logarithms

log_445= \frac{log_e45}{log_e4}

or

log_445= \frac{In45}{In4}

Step-by-step explanation:

From the question we are told that

Log_445

Generally converting log from base x to base 10 si mathematically represented as

log_xa=log_1_0a *log_x10

log_xa= \frac{log_1_0a}{log_1_0x}

Therefore

Common logarithm

log_451= \frac{log_1_045}{log_1_08}

Generally Natural logarithms log_ex\ or\ inx is mathematically represented as

log_xa= \frac{log_ea}{log_ex}

Therefore

Natural logarithms

log_445= \frac{log_e45}{log_e4}

or

log_445= \frac{In45}{In4}

6 0
3 years ago
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