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3 years ago

6

The diagram below shows a square inside a regular octagon. The apothem of the octagon is 18.11 units to the nearest square unit

what is the area of the shaded region

1 answer:

DedPeter [7]3 years ago

6 0

Answer:

862

Step-by-step explanation:

apex

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Jenna spends $15.04 at the store on notebooks and folders for school. Notebooks cost $4.85 each, and folders cost $0.89 each. Sh

cluponka [151]

Answer:

$\boxed{\text{2 notebooks and 6 folders}}$

Step-by-step explanation:

Let n = number of notebooks

and f = number of fodders

You have a system of two equations:

$\begin{cases}(1)& 4.85n + 0.89f = 15.04\\(2) & n+ f = 8\end{cases}\\\\$

$\begin{array}{lrcll}(3) & f & = & 8-n &\text{Subtracted n from each side of (2)}\\& 4.85n+0.89(8-n) & = & 15.04 &\text{Substituted (3) into (1)}\\& 4.85n+7.12-0.89n & = & 15.04 &\text{Distributed 0.89}\\& 3.96n+7.12 & = & 15.04 &\text{Combined like terms} \\& 3.96n & = & 7.92 & \text{Subtracted 7.12 from each side} \\(4) & n & = & 2 & \text{Divided each side by 3.96}\\& 2+ f & = & 8 & \text{Substituted (4) into (2)}\\& f & = & 6 &\text{Subtracted 2 from each side} \\\end{array}$

Jenna bought $\boxed{\textbf{two notebooks and six folders} }$ .

Check:

$\begin{array}{rclcrcl}4.85\times2+0.89\times6 & =& 15.04 & \qquad &2+6&=&8\\9.70+5.34 & = & 15.04 & \qquad &8&=&8\\15.04& = & 15.04 & & & & \\\end{array}$

OK.

4 0

3 years ago

A peony plant with red petals was crossed with another plant having streaky petals. A geneticist states that 75% of the offsprin

Strike441 [17]

Answer:

The sample data confirm the geneticist's prediction that 75% of the offspring from this cross will have red flowers.

Step-by-step explanation:

A Chi-square goodness of fit test can be used to test the claim made by the geneticist.

The hypothesis is defined as:

<em>H₀</em>: There is no difference between the observed and expected value,i.e. <em>p</em>₁ < 0.75.

<em>Hₐ</em>: There is a significant difference between the observed and expected value, i.e. <em>p</em>₁ > 0.75.

The test statistic is:

$\chi^{2}=\sum \frac{(O-E)^{2}}{E}$

Consider the tables attached below.

The value of the test statistic is:

$\chi^{2}=\sum \frac{(O-E)^{2}}{E}=25.8133$

The critical value is:

$\chi^{2}_{\alpha, k-1}=\chi^{2}_{0.01, 1}=6.635$

*Use a Chi-square table.

The critical region is:

$\chi^{2}\geq 6.635$

The test statistic value of 25.8133 lies in the critical region.

The null hypothesis is rejected at 1% level of significance.

<u>Conclusion</u>:

As the null hypothesis is rejected it can be concluded that 75% of the offspring from this cross will have red flowers.

7 0

3 years ago

Which triangle has angle measures of 40 , 50 , and 90?

eimsori [14]

The absolute triangle

7 0

3 years ago

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A recipe for 1 loaf of banana bread uses 3/4 Patty has 1 1/3 cups of bananas.

alexira [117]

For this case we have that Patty has:

$1 \frac {1} {3} = \frac {3 * 1 + 1} {3} = \frac {3 + 1} {3} = \frac {4} {3} = 1.33$

Banana cups

If she wants to make two loaves of banana bread, she needs:

$\frac {3} {4} + \frac {3} {4} = \frac {3 + 3} {4} = \frac {6} {4} = \frac {3} {2} = 1.5$

banana cups

So, you don't have enough banana to make two loaves of banana bread.

Answer:

Patty doesn't have enough banana to make two loaves of banana bread.

5 0

4 years ago

In a contest, each finalist must answer 4 questions correctly. Each question is worth twice as much as the question before it. T

lutik1710 [3]

The answer is 250 points, to find this just divide by 2 three times.

4 0

4 years ago

Read 2 more answers