How do I solve equations like this?

Select the correct answer. Vincent wants to construct a regular hexagon inscribed in a circle. He draws a circle on a piece of p

uranmaximum [27]

Answer:

B.

Step-by-step explanation:

4 0

3 years ago

Can some one explain how to do this?

Delvig [45]

Answer:

see explanation

Step-by-step explanation:

Using the tangent and sine ratios in the right triangle EFG

tan60° = $\frac{opposite}{adjacent}$ = $\frac{FG}{EG}$ = $\frac{28}{EG}$ ( multiply both sides by EG )

EG × tan60° = 28 ( divide both sides by tan60° )

EG = $\frac{28}{tan60}$ ≈ 16.2 in ( to the nearest tenth )

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

sin60° = $\frac{opposite}{hypotenuse}$ = $\frac{FG}{EF}$ = $\frac{28}{EF}$ ( multiply both sides by EF )

EF × sin60° = 28 ( divide both sides by sin60° )

EF = $\frac{28}{sin60}$ ≈ 32.3 in ( to the nearest tenth )

3 0

3 years ago

Order from least to greatest

Orlov [11]

Answer:
In order from least to greatest: 0.25, 3 ⅜, 3 <span>⅖</span>;

Or, write as: 0.25 < 3 ⅜ < 3 ⅖ .
___________________________________
Explanation:

0.25 = ¼ l (less than "1"); the lowest of the three given values.

The remaining two values have the same whole number of 3, and a fraction:
3 <span>⅖ ;</span> and 3 ⅜.

The least common multiples among the denominators of the fraction values is 40. ⅖ = ?/40 ; 5*? =40? 5* 8 = 40, so 2*8 = 16;
Thus, ⅖ = 16/40, and 3 ⅖ = 3 16/40. 3/8 = ?/40? 8*5 =40; so 3*5 = 15 ; thus ⅜ = 15/40; and
and 3 ⅜ = 3 15/40.
3 15/40 is less than than 3 16/40;
as such; 3 ⅜ is less than 3 ⅖.

So, in order from least to greatest: 0.25, 3 ⅜, 3 ⅖;
Or, write as: 0.25 < 3 ⅜ < 3 ⅖ .

7 0

3 years ago

A data set includes 103 body temperatures of healthy adult humans having a mean of 98.1 F and a standard deviation of 0.56 F. Co

Ira Lisetskai [31]

Answer:

The 99% confidence interval estimate of the mean body temperature of all healthy humans is (97.955F, 98.245F).

98.6F is above the upper end of the interval, which means that the sample suggests that the mean body temperature could be lower than 98.6F.

Step-by-step explanation:

The first step is finding the confidence interval

The sample size is 103.

The first step to solve this problem is finding how many degrees of freedom there are, that is, the sample size subtracted by 1. So

$df = 103-1 = 102$

Then, we need to subtract one by the confidence level $\alpha$ and divide by 2. So:

$\frac{1-0.99}{2} = \frac{0.01}{2} = 0.005$

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 102 and 0.005 in the t-distribution table, we have $T = 2.63$ .

Now, we need to find the standard deviation of the sample. That is:

$s = \frac{0.56}{\sqrt{103}} = 0.055$

Now, we multiply T and s

$M = T*s = 2.63*0.055 = 0.145$

For the lower end of the interval, we subtract the mean by M. So 98.1 - 0.145 = 97.955F.

For the upper end of the interval, we add the mean to M. So 98.1 + 0.145 = 98.245F.

The 99% confidence interval estimate of the mean body temperature of all healthy humans is (97.955F, 98.245F).

98.6F is above the upper end of the interval, which means that the sample suggests that the mean body temperature could be lower than 98.6F.

5 0

3 years ago

X÷2+4 greater than 7

denpristay [2]

I’m am almost sure it’s true it should look like this X
__ > 7
2+4

8 0

3 years ago