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gulaghasi [49]
2 years ago
14

Would you use SIN,COS, or TAN? and solve

Mathematics
1 answer:
Sauron [17]2 years ago
6 0

\rm sin\theta = \frac{10}{x} \ , cos \theta = \frac{\sqrt{10^2-x^2}}{x} ,\ \rm tan \theta =\frac{10}{\sqrt{10^2-x^2}} are the obtained values.

<h3 /><h3>What is trigonometry?</h3>

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

From ΔABC it is obtained that;

From the pythogorous theorem;

h²=p²+b²

x²=10²+b²

b=√(10²-x²)

h=x

p=10

\rm sin \theta =\frac{p}{h} \\\\ sin\theta = \frac{10}{x}

\rm cos \theta =\frac{b}{h} \\\\ cos \theta = \frac{\sqrt{10^2-x^2}}{x}

\rm tan \theta = \frac{p}{b} \\\\  tan \theta =\frac{10}{\sqrt{10^2-x^2}}

Hence for the given triangle, the sinΘ,cosΘ, and tanΘ value is obtained above.

To learn more about trigonometry, refer to the link brainly.com/question/26719838

#SPJ1

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Fed [463]

Answer: 228 students

Step-by-step explanation:

Since the results for the standardized test are normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = test reults

µ = mean score

σ = standard deviation

From the information given,

µ = 1700 points

σ = 75 points

We want to find the probability of students expected to score above 1850 points. It is expressed as

P(x > 1850) = 1 - P(x ≤ 1850)

For x = 1850,

z = (1850 - 1700)/75 = 150/75 = 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.97725

P(x > 1850) = 1 - 0.97725 = 0.02275

If 10,000 students take the exam, then the number of students you would expect to score above 1850 points is

0.02275 × 10000 = 228 students

7 0
3 years ago
Which symbol correctly completes the statement? 4 + (-8) ___ 6 + (-8) + (-6) &lt; &gt; =
Jobisdone [24]

Guessing these are the options:

  • <
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4 + (-8) ___ 6 + (-8) + (-6)

If the signs are the same, you add. If you have one positive and one negative sign, you minus:

4 + (-8) = 4 - 8 = -4

6 + (-8) = 6 - 8 = -2

(-2) + (-6) = (-2) - 6 = -8

-4 ___ -8

<h2>-4 > -8</h2>
8 0
3 years ago
Read 2 more answers
The table represents a function.
Zarrin [17]

We have to complete the statement:

" The rate of change in the function y=x+4 is ______ the rate of change of the function represented in the table."

Let us consider the function represented in table.

The coordinates given in the table are:

(0,6) (2,8) (4,10) and (6,12)

Consider the first two coordinates (0,6) and (2,8)

x_{1}=0 , y_{1}=6, x_{2}=2 , y_{2}=8

Equation of line is given by (y-y_{1})=m(x-x_{1})

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So, m = \frac{8-6}{2-0}=1

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(y-6)= 1 (x-0)

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Comparing it with standard equation of line y=mx+c with slope 'm'.

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Now,

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So, we get m(Rate of change)=1.

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4 years ago
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mars1129 [50]

Answer:

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3 years ago
Which number is a solution of the inequality? 5(2q – 8) ≥ 7 A. 6 B. –2 C. −12 D. 92
avanturin [10]

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so the solution is not really a single number but a range, depending on how q is defined. I am assuming q is defined in domain of Real numbers, and then the solution to the inequality will be "all real numbers larger or equal to 4.7"

4 0
3 years ago
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