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3 years ago

Find the length of x in simplest radical form with a rational denominator

Mathematics

2 answers:

Alisiya [41]3 years ago

8 0

Answer:

Step-by-step explanation:

$\cos(30^o)=\dfrac{\sqrt3}2$

From triangle: $\cos(30^o)=\dfrac x2$

Therefore:

$\dfrac x2=\dfrac{\sqrt3}{2}\\\\x=\sqrt3$

aleksandrvk [35]3 years ago

7 0

It is equals to 3 I think

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The united states mint released five state quarters every year. there are 50 states. How many years did it take for all 50

Gekata [30.6K]

You divide 50/5=10 years.

7 0

3 years ago

Use a quadratic equation to find two real numbers that satisfies the situation. The sum of the two numbers is 2, and their produ

dalvyx [7]

A+b=2 and ab=-48, let a=x and y=b
x+y=2 implies y=2-x
xy=-48 implies x(2-x)=-48
so 2x-x^2+48=0

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4 years ago

What is the equation in slope-intercept form of the line that crosses the y-axis at 6 and is perpendicular to the line represent

AlexFokin [52]

Answer:

y=(9/4)x+6

Step-by-step explanation:

If it crosses at 6 then it will be +6. A perpendicular line has a slope that is the opposite reciprocal of your current slope.

5 0

3 years ago

Several years ago, 39% of parents who had children in grades K-12 were satisfied with the quality of education the students r

BaLLatris [955]

<h2>Answer with explanation:</h2>

Let p be the population proportion of parents who had children in grades K-12 were satisfied with the quality of education the students receive.

Given : Several years ago, 39% of parents who had children in grades K-12 were satisfied with the quality of education the students receive.

Set hypothesis to test :

$H_0: p=0.39\\\\H_a :p\neq0.39$

Sample size : n= 1055

Sample proportion : $\hat{p}=\dfrac{466}{1055}=0.441706161137\approx0.44$

Critical value for 95% confidence : $z_{\alpha/2}=1.96$

Confidence interval : $\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}$

$0.44\pm (1.96)\sqrt{\dfrac{0.39(1-0.39)}{1055}}\\\\0.44\pm0.0299536805135\\\\0.44\pm0.03\\\\=(0.44-0.03, 0.44+0.03)\\\\=(0.41,\ 0.47)$

Since , Confidence interval does not contain 0.39.

It means we reject the null hypothesis.

We conclude that 95% confidence interval represents evidence that parents' attitudes toward the quality of education have changed.

8 0

4 years ago

2x + y = 8 find four solutions

Tcecarenko [31]

Answer:

see explanation

Step-by-step explanation:

Choose any value for x, substitute into the equation and solve for y, that is

x = - 1

2(- 1) + y = 8

- 2 + y = 8 ( add 2 to both sides )

y = 10

---------

x = 0

2(0) + y = 8

0 + y = 8

y = 8

----------------

x = 1

2(1) + y = 8

2 + y = 8 ( subtract 2 from both sides )

y = 6

---------------

x = 3

2(3) + y = 8

6 + y = 8 ( subtract 6 from both sides )

y = 2

----------------

4 possible solutions are (- 1, 10 ), (0, 8 ), (1, 6 ) and (3, 2 )

6 0

3 years ago