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Oksanka [162]
3 years ago
11

Which of the following could be the ratio of the length of the longer leg of a 30 60 90 triangle to the length of its hypotenuse

Mathematics
1 answer:
yan [13]3 years ago
6 0
For 30 60 90 triangles, the ratio of the side lengths is
\frac{1}{2} : \frac{ \sqrt{3} }{2} :1
where the first is the shorter leg, the second is the longer leg, and the third is the hypotenuse (the longest side that doesn't form a 90 degree angle)

so the ratio of the longer leg to the hypotenuse is <span>\frac{ \sqrt{3} }{2} :1
or
</span>\frac{ \frac{ \sqrt{3} }{2} }{1}
<span>which equals </span>\frac{ \sqrt{3} }{2}
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Geometry B: fill in the blank
olga_2 [115]

Answer:

The circumference of a circle is the distance around the entire circle, while arc length, s, is the distance <u>between</u> two points on the circle.

C = 2πr = 2π( <u>5</u><u> </u>) = 10π ≈ 31.4 units

3.14 is an approximation for π.

s = θ/360° (C)

mAB = 60°/360° ( 31.4)

= <u>1</u><u>/</u><u>6</u>(31.4) ≈5.2 units

3 0
2 years ago
Tell whether the two quantities vary directly. Explain your reasoning. The cafeteria provides three meals per day.
Dafna11 [192]

Answer:

The cafeteria provides three meals per day.

<u>Reason 1</u>

Yes, they vary directly  

As number of days increases ,Total number of meals i.e

1st day ⇒ 3

2nd day⇒6

3 rd day⇒9

4th day⇒12

......................

.........................

increases.

Total number of Meals = k×Number of days

But there is another possibility also

<u>Reason 2</u>

1 st day ⇒ 3

2nd day ⇒3

3rd day⇒ 3

.....................

.....................

As you can see from the above expression On each day number of meals is  

constant.

So we can say that ,

On each Day=Constant amount of meal=3

So, there is no Proportionality between Days and Meal.




3 0
3 years ago
Evaluate the expression Arcsec(sqrt 2). Do not use your calculator to answer this question. Do not express answer in decimals.
Igoryamba
Pi/4 radians  
You're looking for the angle that has a secant of sqrt(2). And since the secant is simply the reciprocal of the cosine, let's take a look at that.
 sqrt(2) = 1/x
 x*sqrt(2) = 1
 x = 1/sqrt(2)
 Let's multiply both numerator and denominator by sqrt(2), so
 x = sqrt(2)/2 
 And the value sqrt(2)/2 should be immediately obvious to you as a trig identity. Namely, that's the cosine of a 45 degree angle. Now for the issue of how to actually give you your answer. There's no need for decimals to express 45 degrees, so that caveat in the question doesn't make any sense unless you're measuring angles in radians. So let's convert 45 degrees to radians. A full circle has 360 degrees, or 2*pi radians. So:
 45 * (2*pi)/360 = 90*pi/360 = pi/4 
 So your answer is pi/4 radians.
5 0
3 years ago
Read 2 more answers
If Dave drove one-third of the distance of his trip on the first day, and 60 miles on the second day, he figured out that he sti
Nadya [2.5K]

Answer:

180

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
weekly wages at a certain factory are normally distributed with a mean of $400 and a standard deviation of 50. find the probabil
GalinKa [24]

Answer:

47.5%

Step-by-step explanation:

Find the z-scores:

z = (x − μ) / σ

z₁ = (300 − 400) / 50 = -2

z₂ = (400 − 400) / 50 = 0

300 is 2 standard deviations below the mean, and 400 is 0 standard deviations from the mean.

From the empirical rule, 95% of a normal distribution is between -2 and +2 standard deviations.  Since normal distributions are symmetrical, that means half of that is between -2 and 0 standard deviations.

95% / 2 = 47.5%

3 0
3 years ago
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