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Alexxandr [17]
4 years ago
10

If AC = 36 and BC = 18, find AD. Round to the nearest tenth, if necessary.

Mathematics
1 answer:
KengaRu [80]4 years ago
7 0
<span>Using: a^2 + b^2 = c^2 (pythagoras theorem)
where 'a' and 'b' are the legs of a right triangle, c is the hypotenuse
</span><span>compare the triangle I just drew to the triangle you have for your problem
</span><span>you'll see that a = unknown b = 18 c = 36
</span><span>a=18sqrt3
=31.2</span>

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Jon bought a printer for $189 and a set of printer cartridges for $192. Sales tax on these items was 6.5%. What is Jon's total b
julia-pushkina [17]
So first we need to find the total before tax. Let's add up the two prices:

189+192=381

So we know that the total before tax is $381. Now we are told that the sales tax on these items is 6.5%. It would be easier for us to convert 6.5% to a decimal in order to multiply. Let's convert 6.5% to a decimal by dividing by 100:

\frac{6.5}{100}=0.065

Now that we have the sales tax in decimal form, let's multiply this sales tax by the total amount of the items before tax ($381):

381*0.065=24.77

This means that $24.77 is the tax for this purchase. To find the total amount that Jon paid for these items after tax, you must add the tax to the total amount before tax to give you:

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So now we know that Jon's total bill for these items is $405.77.
4 0
3 years ago
. Compute the required sample size given the required confidence in the sample results is 99.74% (Z score of 3). The level of al
Shtirlitz [24]

Answer:

900 sample size

Step-by-step explanation:

To determine the sample size for a proportion, the margin of error formula is used to determine this:

E=Z_{\frac{\alpha}{2} }*\sqrt{\frac{\hat p \hat q}{{n} }

n=\hat p \hat q*(\frac{Z_{\frac{\alpha}{2} }}{E} )^2

Where p is the proportion, E is the margin of error, n is the sample size, q = 1 - p, Z_\frac{\alpha }{2} is the z score.

Since the proportion is not known, the sample size needed to guarantee the confidence interval and error is at p = 0.5 and q = 1 - p = 1 - 0.5 = 0.5

E = 5% = 0.05, Z_\frac{\alpha }{2} = 3. Hence:

n=0.5*0.5*(\frac{3}{0.05} )^2\\\\n = 900

6 0
3 years ago
Two studies were completed in California. One study in northern California involved 1,000 patients; 74% of them experienced flul
gtnhenbr [62]
The  study has the smallest margin of error for a 98% confidence interval is <span>The northern California study with a margin of error of 3.2%.

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
</span>
4 0
3 years ago
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Rose’s Ringlets, a national hair salon, pays the following in employee benefits each pay period: $700 for health care, 10% of gr
Deffense [45]

Answer:

D $1298

Step-by-step explanation:

10% of 5200 is 520

1% is 52

0.5% is 26

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3 0
3 years ago
True of false: 0.4&lt; 0.400​
LenaWriter [7]

Answer:

false

Step-by-step explanation:

the are the same jus5 one has more zero afterwards

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