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VladimirAG [237]
2 years ago
15

A magician's stage has a rectangular trapdoor whose width is (x+1/2) feet and whose length is 2x feet. The area of the trapdoor

is 10 square feet. What is the value of x ?
Mathematics
2 answers:
Reptile [31]2 years ago
4 0

Answer: x  =  2  ,  − 2.5

Sonbull [250]2 years ago
3 0
-2.5I believe hope that helps you with your question
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Assume that a sample is used to estimate a population proportion μ . Find the margin of error M.E. that corresponds to a sample
hichkok12 [17]

Answer:

MoE = 1.645\cdot \frac{13.1}{\sqrt{772} } \\\\MoE = 1.645\cdot 0.47147\\\\MoE = 0.776\\\\

Step-by-step explanation:

Since the sample size is quite large, we can use the z-distribution.

The margin of error is  given by

$ MoE = z_{\alpha/2}(\frac{s}{\sqrt{n} } ) $

Where n is the sample size, s is the sample standard deviation and z_{\alpha/2} is the z-score corresponding to a 90% confidence level.

The z-score corresponding to a 90% confidence level is

Significance level = α = 1 - 0.90= 0.10/2 = 0.05

From the z-table at α = 0.05

z-score = 1.645

MoE = 1.645\cdot \frac{13.1}{\sqrt{772} } \\\\MoE = 1.645\cdot 0.47147\\\\MoE = 0.776\\\\

Therefore, the margin of error is 0.776.

3 0
2 years ago
Help me, its trigonometry college
prohojiy [21]

4) (a) For these problems, you should take time to familiarize yourself with common fractions that appear on the unit circle.  \frac{\sqrt{3}} {3} does not appear in the unit circle unless you take the quotient 1/2 divided by sqrt(3)/2 which gives you 1/sqrt(3) which is the same as sqrt(3)/3.  So our numerator is 1/2 and our denominator is sqrt(3)/2.

And remember tangent is just sin/cos.  So what degree has sinx as 1/2 and and cosx as sqrt(3)/2?  Well, 30 degrees does, but 30 degrees is not within the range we are given.  That means they are looking for a sinx that gives us -1/2 and a cosx that gives us -sqrt(3)/2 and that is 210 degrees.

And 210 degrees in radians is 7pi/6.

I hoped that made sense.

(b) This is a lot easier. What angle gives us a cos x of -sqrt(3)/2?  According to the unit circle, 150 degrees and 210 degrees does.  They usually want these in radians, so the answer is 5pi/6 and 7pi/6, respectively.

5) What quadrant is radian measure 5 in?

Well 2pi or roughly 6.28 is a full circle. And 5 is slightly less than 6.28, so it is probably in quadrant IV.

But to be sure let's change 5 radian to degrees:

5 * 180/pi = 900/pi = 286.48 degrees

286.48 degrees is definitely in Q4, so we are correct.




7 0
3 years ago
How do you do 44.70 divided by 15 long division
-BARSIC- [3]

Since the divisor is 2 digits, start by looking at the first 2 digits of the dividend. Those are 44, so you're dividing 44 by 15 at the first step. The quotient digit is the largest integer that gives a value less than or equal to the dividend (44) when multiplied by the divisor (15). For the first step, that digit is 2.

To find the new divisor, subtract the product of the divisor and the quotient digit (2·15=30) and bring down the next digit of the original dividend. Now, you have a dividend of 147 and a divisor of 15. Repeat the process as above.

The decimal point location in the answer can be found a number of ways. The simpliest is to put it above the decimal point in the dividend. (When the divisor is not an integer, multiply or divide both divisor and dividend by the same power of 10 until it is.)

5 0
3 years ago
Last month you went on three hikes. One hike was 2 3/4 miles long, one was 1 1/2 miles long, and the other was 3 3/8 miles long
Tresset [83]
OK. So I hiked 7 and 5/8 miles last month. (In my dreams !). Do you have a question to ask ?
3 0
3 years ago
Consider the quadratic equation below. 4x^2-5=3x+4 Determine the correct set-up for solving the equation using the quadratic for
lidiya [134]

4x^2-5=3x+4

4x^2 - 3x - 5 - 4 = 0

4x^2 - 3x -9 = 0

x= \dfrac{3 \pm \sqrt{3^2 - 4(4)(-9)}}{2(4)}

x = \frac 1 8 (3 \pm \sqrt{9(1 + 16)})

x = \frac 1 8 (3 \pm 3\sqrt{17})


7 0
3 years ago
Read 2 more answers
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