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Levart [38]
3 years ago
14

Use the given information to find the exact value of the expression. sin θ = 24/25, θ lies in quadrant II Find tan 2θ. A. - 526/

527 B.336/625 C. -336/527 D. 336/527
Mathematics
1 answer:
Ivenika [448]3 years ago
5 0
Because θ lies in quadrant II, 2θ must lie in quadrant IV. This means the tangent of 2θ is negative.
The adjacent side to θ is 7 because √(25²-24²)=7, so tanθ=7/24.
The double angle formula for tangent is tan 2θ = (2 tan θ) / (1 − tan² θ<span>).
</span>Substituting the value for tanθ in and keeping in mind that this is in quadrant IV, we get tan 2θ = -(2(7/24)/(1-(7/24)²)). 
Simplified, this becomes tan 2θ = -336/527. 
Therefore, the answer is C. -336/527.

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3x + 5 ^ 2x + 15
Nina [5.8K]

Answer:

Answer:is A

A) Molly walked 5 miles and Mary walked 15 miles last month. If Molly walks 3 miles per week and Mary walks 2 miles per week, how long will it be before Molly has walked more miles than Mary?

Step-by-step explanation:

An inequality can have more than one solution. The set of all solutions of an inequality is called the solution set. The symbol ≥/ means “is not greater than or equal to.”

6 0
3 years ago
Scores on a certain intelligence test for children between ages 13 and 15 years are approximately normally distributed with μ=10
Tju [1.3M]

Answer: 0.8238

Step-by-step explanation:

Given : Scores on a certain intelligence test for children between ages 13 and 15 years are approximately normally distributed with \mu=106 and \sigma=15.

Let x denotes the scores on a certain intelligence test for children between ages 13 and 15 years.

Then, the proportion of children aged 13 to 15 years old have scores on this test above 92 will be :-

P(x>92)=1-P(x\leq92)\\\\=1-P(\dfrac{x-\mu}{\sigma}\leq\dfrac{92-106}{15})\\\\=1-P(z\leq })\\\\=1-P(z\leq-0.93)=1-(1-P(z\leq0.93))\ \ [\because\ P(Z\leq -z)=1-P(Z\leq z)]\\\\=P(z\leq0.93)=0.8238\ \ [\text{By using z-value table.}]

Hence, the proportion of children aged 13 to 15 years old have scores on this test above 92 = 0.8238

4 0
3 years ago
Find the value of x: 7e(×/3)=14
velikii [3]
<span>7e^(×/3)=14
</span><span>e^(×/3)=14/7
</span>e^(×/3)=2
take ln of both sides;
lne^(×/3)=ln2
****You should be familiar that lne^x=x as ln is the inverse function of e and vice versa****
then;
x/3=ln2
x=3ln2
x approximately is equal to 2.1
6 0
3 years ago
Convert 359in^2 to square feet. round to 1 decimal place.
klemol [59]

Based on dimensional analysis and unit conversion theory we conclude that an area of 359 square inches is equivalent to an area of 2.5 square feet.

<h3>How to apply dimensional analysis in unit conversion</h3>

In this question we need to convert a magnitude in a given unit to an <em>equivalent</em> magnitude with another unit. According to dimensional analysis, <em>unit</em> conversions are represented by the following expression:

y = A · x     (1)

Where:

  • x - Original magnitude, in square inches.
  • y - Resulting magnitude, in square feet.
  • A - Conversion factor, in square feet per square inch.

Dimensionally speaking, area is equal to the product of length and length:

[Area] = [Length] × [Length]

And a feet is equivalent to 12 inches. Now we proceed to convert the magnitude to square feet:

x = 359 in² × (1 ft/12 in) × (1 ft/12 in)

x = 359 in² × (1 ft²/144 in²)

x = 2.5 ft²

Based on dimensional analysis and unit conversion theory we conclude that an area of 359 square inches is equivalent to an area of 2.5 square feet.

To learn more on unit conversions: brainly.com/question/11795061

#SPJ1

5 0
1 year ago
Which equation represents the graph of the linear function?
marusya05 [52]
By looking at the graph you can rule out choices C and D because the graph given to you is an increasing linear function and C and D represent functions with a decreasing or negative slope. 

By looking at the picture the slop of the graph seems to be 4/1 (rise/run) so your slope is 4. And your y-intercept looks like its -4 so your answer is B<span />
3 0
3 years ago
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