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Maslowich
2 years ago
12

Evaluate sin 300° without using a calculator.

Mathematics
1 answer:
Anni [7]2 years ago
3 0

Answer:

-\sqrt{3} /2

Step-by-step explanation:

300 degrees is in the fourth quadrant (it's between 270 and 360); sine is negative in the fourth quadrant.

Given we're in the fourth quadrant, the reference angle is 360 - 300 = 60 degrees

sin(60°) = \sqrt{3} /2

And since sine is negative, this value turns negative:

sin(300°) = -\sqrt{3} /2

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Evaluate the expression a + c for a = 22 and c = 11.
bixtya [17]

Answer: 33

Step-by-step explanation: substitute a with 22 and c with 11.

22+11=33

4 0
3 years ago
Read 2 more answers
Kari is on a trip to Italy. She has made a list of cities she would like to tour while she is there, as well as how much she exp
Amanda [17]

Unit conversion is a way of converting some common units into another. Kari cannot afford to see Genoa, because it would put her $84. 48 over budget.

<h3>What are Units conversions?</h3>

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

The cost of the Kari visiting the Vatican, Rome, Naples, Venice, and Milan are €68.77, €95.41, €71.06, €113.38, and €49.69. Therefore, the total cost of visiting these places would be,

Total Cost = €68.77 + €95.41 + €71.06 + €113.38 + €49.69

                  = €398.31

Now, as it is given that 1$ is equal to 0.6859€, therefore, if we convert the amount that is already spent by Kari to visit these places in dollars, we will get,

\rm Total\ cost = \dfrac{398.31 }{0.6859} = \$\ 580.72

The amount that is left with Kari,

\rm \text{Amount left with Kari} = (Budget\ of\ Kari)-(Total\ cost)

                                    = \$585-\$580.72\\\\=\$4.28

Also, the cost of visiting Genoa is €60.85, now, if the cost is converted to dollars we will get the cost to visit Genoa,

\text{Cost of visiting Genoa} = \dfrac{60.85}{0.6859}=\$88.72

Thus, the cost of visiting Genoa is $88.72, while the amount of budget that is left with Kari is $4.28, therefore, Kari cannot afford to see Genoa, because it would put her $84. 48 over budget.

Learn more about Units conversion:

brainly.com/question/4736731

3 0
2 years ago
For a quadratic function ƒ(x)=ax2+bx+c, ƒ(−1)&lt;1, ƒ(1)&gt;−1, and ƒ(3)&lt;−4. What could be the sign of a?
denis23 [38]

Answer:

"a" must be negative

Step-by-step explanation:

The slope between points (-1, 1) and (1, -1) is a minimum of (-1-1)/(1-(-1)) = -1.

The slope between points (1, -1 and (3, -4) is a maximum of (-4-(-1))/(3-1) = -3/2.

Thus, as x increases, the slope is decreasing. In order for that to be the case, the value of <em>a</em> must satisfy a < 0.

4 0
3 years ago
Find a 4 digit odd number using each of the digit 1,2,3,4 and 5 only once such than when the first and the last digit are in int
Vesna [10]

Answer:

The possible numbers could be : 4521, 4125, and 2415

3 0
3 years ago
I need help with part a please. ​
prohojiy [21]

Answer:

130

Step-by-step explanation:

just apply rhe formula of trapezium i.e. 1/2(a+b)h

a is the upper side/base

b is the lower side/base

h is the height

6 0
2 years ago
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