Test Pythagorean Theorem
> Chemistry: Periodic Table of Elen
Х
learning.k12.com/d21/le/enhancedSequenceViewer/1425828?url=https%3A%2F%2Fe0271165-1353.40b6-af9b-349f7ff846bd.sequences.api.brightspace.com%2F14... ☆
K12 K12.com KAR OLS Login RMy Info K12 Customer Supp. > Class Connect LogMeln 123 Microsoft Office 365
ck to Content
Unit Test: Pythagorean Theorem
UNIT TEST:
Pythagorean Theorem
Reading Off
Calculator
ABCD is a right triangle. The length of the hypotenuse is 18 centimeters. The length of one of the legs is 14 centimeters.
What is the length of the other leg?
Enter your answer, as a decimal rounded to the nearest tenth, in the box

Answer:

1 4/7

Find a number that will divide evenly into both the top number and the bottom number. (You can do any math operation to either number as long as you do the same to the bottom number.)

Keep doing that until you can't find a number that works.

In this case try 5.

55 ÷ 5 = 11 and 35 ÷ 5 = 7

so: 55/35 = 11/7

since the top number is greater than the bottom, reduce 11/7 to 1 4/7

Answer:

[tex] \frac{55}{35} \\ \frac{11}{7} \\ 1.57[/tex]

Answer:

The sample size required is of 2305.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

The margin of error is:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

A preliminary survey of adult Americans has estimated this proportion to be somewhere around 0.40.

This means that [tex]\pi = 0.4[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

The sample size required to estimate this proportion with 95% confidence and a margin of error of 0.02.

The sample size required is of n.

n is found when M = 0.02. So

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.02 = 1.96\sqrt{0.4*0.6}{n}}[/tex]

[tex]0.02\sqrt{n} = 1.96\sqrt{0.4*0.6}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.4*0.6}}{0.02}[/tex]

[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.4*0.6}}{0.02})^2[/tex]

[tex]n = 2304.96[/tex]

Rounding up

The sample size required is of 2305.

Answer:

Step-by-step explanation:

Circumference = 73.51

Hope this helps :)

Answer:

Assuming that [tex]\pi[/tex] is equivalent to 3.14, the circumference of the circle is 73.476 inches.

Step-by-step explanation:

The formula for the circumference of a circle is [tex]2\pi r[/tex], or the diameter of a circle multiplied by [tex]\pi[/tex]. Because the diameter is 23.4, that means the circumference would be 23.4 * 3.14 = 73.476 inches.

Where is the diagram???

Answer:

Bank B had the better return after 10 years.

Step-by-step explanation:

Answer:

x>8 should be correct!

Step-by-step explanation:

56/7 = 8

Answer:

Step-by-step explanation:

2 should be 50 degrees as well. 1 should be 130 (to get the needed 180) 3 should be 130 degrees.  Hopefully this is correct

Answer:

$542.50

Step-by-step explanation:

<QRS=5°

Answer:

<ABC+<QRS=180

175+<QRS=180

<QRS=180-175=5

Answer:

Step-by-step explanation:

Answer:

3 1/2 units cubed.

1 3/4 · 1 · 2 = 3 1/2

Answer:

B

Step-by-step explanation

ed 2020

Answer:

The answer would be 6.8 I believe.

Step-by-step explanation:

Step 1: You would have to find which side is the opposite , hypotenuse and adjacent to the degree. 8 is adjacent and x is the hypotenuse. Then you can use a strategy I like which is called SOH CAH TOA to find if you need to use sin, cosine, or tangent. It tells you in the acronym too how to set up the equation.

Step 2: In this case we need cosine since it is adjacent over hypotenuse (C in the acronym is for cosine A is for adjacent and H is for hypotenuse) so the equation would be Cos32= 8/x

Step 3: Then solve the equation, so you would do

8cos32=x

Put that into the calculator (I'm using a TI-84) and make sure it is in degree mode and you would get 6.78 but round that up to 6.8.

I hope this helps and that I did it right!!

Answer:

37

Step-by-step explanation:

if you put it in a calculator thats the answer

Answer:  

199 yr

Step-by-step explanation:

Answer:

199 years

Step-by-step explanation:

Hope it helps u

FOLLOW MY ACCOUNT PLS PLS

Answer:

c = 17(83)-17(16)=1139

Step-by-step explanation:

Answer:

It's [tex]\frac{1}{288}[/tex]

Step-by-step explanation:

Replace x and y in the equation, it will look like this:

[tex]2(\frac{-1}{3})^2(\frac{1}{4})^3\\[/tex]

[tex]2(\frac{1}{9})(\frac{1}{64})[/tex]

[tex]2(\frac{1}{576})[/tex]

[tex]\frac{2}{576}=\frac{1}{288}[/tex]

Answer:

Z-scores between -0.86 and 0.86 separate the middle 61% of the distribution from the area in the tails of the standard normal distribution

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Middle 61%

Between the 50 - (61/2) = 19.5th percentile and the 50 + (61/2) = 80.5th percentile.

19.5th percentile.

Z with a pvalue of 0.195. So Z = -0.86

80.5th percentile.

Z with a pvalue of 0.805. So Z = 0.86.

Z-scores between -0.86 and 0.86 separate the middle 61% of the distribution from the area in the tails of the standard normal distribution

Answer:

[tex]1197.42\ cm^2[/tex]

Step-by-step explanation:

Given that,

The height of cylinder, h = 12.7 cm

The radius of the cylinder, r = 3 cm

The curved surface area of a cylinder for 5 bug spray is given by :

[tex]C=5\times 2\pi rh\\\\C=10\times \dfrac{22}{7}\times 3\times 12.7\\\\C=1197.42\ cm^2[/tex]

So, [tex]1197.42\ cm^2[/tex] of tissue papers will be needed.

Answer: x = 1/16

Step-by-step explanation:

Since the inverse of a Logarithm is an exponential function, we know that the final solution has to involve an exponential function somewhere in it.

1. log B(2) {x} = -4  || given

2. x = 2 ^ -4  || Logarithm rule that allows you to move the base of the logarithm to the base of the exponent on the other side. For example, if you had log B(5) {x} = 3, the base of 5 would move over to the other side and it would be raised to 3; x = 5^3.

3. x = (1) / (2^4) || Simplify. Use the negative exponent rule. This rule always leaves a numerator of 1, and a denominator of your exponent. In this case, it will be 2 ^ -4, so you will do 2^4 which is 16 and you will put that over 1. Resulting in your final answer of x = 1/16

Answer:

1/2

Step-by-step explanation:

well, there are 10 cards altogether

then, count how many 5's there are.

there are 5.

therefore, 5/10 or 1/2

Answer:

33.08 $

I believe we add the two together and get our total !

— hope this helped :)!

Answer:

Excuse me, I believe you forgot to put your questio! To get the desired answer, I highly recommend to oost another question!

Have a great day!

Yours Truely, TheAnimeCatUwU

Step-by-step explanation:

Answer:

You would have to add the options.

Step-by-step explanation:

Answer:

1 hour

60 mins

Step-by-step explanation:

Answer:

1. Square, 10in x 8in, 160in^2

2. Each surface has an area of 80in^2

Step-by-step explanation:

1. Rectangle is the shape of each cut surface which is 10in by 8 in. Since the block was already painted with glitter, she needs to paint both sides of the cut surface only, 2*8in * 10in = 160in^2.

2. Each cut will have a surface area of 10in * 8in = 80in^2

Please leave a like if this is the answer you were looking for

Answer:

x^2 = -20

Step-by-step explanation: