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3 years ago

Please help me find the area for this hexagon (please show work to) ,:)

Mathematics

1 answer:

kvasek [131]3 years ago

4 0

Check the picture below.

so the area of the hexagon is really just the area of two isosceles trapezoids.

$\textit{area of a trapezoid}\\\\ A=\cfrac{h(a+b)}{2}~~ \begin{cases} h=height\\ a,b=\stackrel{parallel~sides}{bases}\\[-0.5em] \hrulefill\\ a=2\\ b=4\\ h=2 \end{cases}\implies \begin{array}{llll} A=\cfrac{2(2+4)}{2}\implies A=6 \\\\\\ \stackrel{\textit{twice that much}}{2A = 12} \end{array}$

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7 is one tenth of what number

Sloan [31]

Answer:

Explanation:

Assume that the number we are looking for is x

one tenth is interpreted into $\frac{1}{10}$

Now, we know that one tenth of the number is 7, this means that:

$\frac{1}{10}$ * x = 7

Solve for x by multiplying both sides of the equation by 10, we get:

$\frac{1}{10}$ * x * 10 = 7 * 10

x = 70

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3 years ago

Read 2 more answers

How many packages of noisemakers does Mia need to buy? How many packages of hats? Explain. Write your answer in the space below.

Sedaia [141]

Answer:

Step-by-step explanation:

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3 years ago

Solve √108÷√125+√75 step by step

Veronika [31]

Answer:

Step-by-step explanation:

√108 ÷ √125 + √75

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= 11√3 / 5√5

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3 years ago

In a jar of coins, the ratio of nickels to dimes is 2:7. If the jar contains 350 nickels, how many dimes are there? A) 175 B) 35

Dvinal [7]

No nickles = 2x and that of dimes = 7x so 2x = 350 get x and the no of dimes
so like 2x = 350 divide by 2 on both sides so x = 175 ... and no of dimes = 7*x = 7*175 = 1225
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4 years ago

Read 2 more answers

A simple random sample of size nequals40 is drawn from a population. The sample mean is found to be 103.9, and the sample stand

yan [13]

Answer:

There is enough evidence to support the claim that the population mean is greater than 100

Step-by-step explanation:

Step 1: We state the hypothesis and identify the claim

$H_0:\mu=100$ and $H_1:\mu \:>\:100$ (claim)

Step 2: Calculate the test value.

$t=\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$

$\implies t=\frac{103.9-100}{\frac{21.9}{\sqrt{40} } }=1.1263$

Step 3: Find the P-value. The p-value obtained from a calculator is using d.f=39 and test-value 1.126 is 0.134

Step 4: We fail to reject the null hypothesis since P-value is greater that the alpha level. (0.134>0.05).

Step 5: There is enough evidence to support the claim that the population mean is greater than 100.

Alternatively: We could also calculate the critical value to obtain +1.685 for $\alpha=0.05$ and d.f=39 and compare to the test-value:

The critical value (1.685>1.126) falls in the non-rejection region. See attachment.

NB: The t- distribution must be used because the population standard deviation is not known.

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4 years ago