Find the length of a side of a square whose diago- nal is 16 cm long. Round your answer to the nearest tenth.

Answers

Answer 1

Answer:

11.3 cm

Step-by-step explanation:

(see attached for reference)

using the Pythagorean theorem

hypotenuse ² = length ² + length ²

16² = L² + L²

16² = 2L²   (express 2 = (√2)²

16² = (√2)²L²  

16² = (√2L)²  

16 = √2L

L = 16 /√2

L = 11.3 cm

Find The Length Of A Side Of A Square Whose Diago- Nal Is 16 Cm Long. Round Your Answer To The Nearest
Answer 2

11.3

use Pythagoras theorem give each side is "a"

a^2+a^2=16^2

2*a^2=256

a^2=256/2=128

a=sqrt(128)=11.3 sqrt=square root


Related Questions

how would i find the mean of the histogram?

Answers

Answer:

You count the amount in each section, add them all together and divide by the total amount of variables used to find the mean. for example, if you had the numbers 3, 5, 8, and 4, the mean would be (3+5+8+4)= 5

Step-by-step explanation:

Determine the domain and range of this,
x²+ y² = 16​

Answers

Answer:

Step-by-step explanation:

x^2 + y^2 = 16

Both the domain and range are :

-4≤x≤4

-4≤y≤4

Example

x^2= 16

√x^2 = √16

x = 4,-4

√y^2= √16

y = -4, 4

10x - 8y = 40
5x - 2y = 40
What is the value of y in the (x, y) solution to the
system of equations shown above?

Answers

Answer: 10

Step-by-step explanation:

Step-by-step explanation:

10x-8y = 40 (1)

5x-2y= 40  (2)

multiply (2) by -2 then add to (1) to get rid of x

-10x+4y+10x-8y = 40+ (-80)

-4y = -40

4y = 40

y= 40/4

y = 10

the answer is 10

Find the sample size needed to estimate the percentage of Democrats among registered voters in Texas. Use a 0.01 margin of error, and use a confidence level of 96% and assume LaTeX: \hat{p}
p
^
=0.28.

Answers

Answer:

Step-by-step explanation:

Hello!

You have to determine the sample size to take to estimate the population proportion of Democrats among registered voters in Texas for a 96% interval with a margin of error of 0.01 and sample proportion p'= 0.28

The interval for the population proportion is

p' ± [tex]Z_{1-\alpha /2}[/tex]*[tex]\sqrt{\frac{p'(1-p')}{n} }[/tex]

The margin of error of the interval is:

d= [tex]Z_{1-\alpha /2}[/tex]*[tex]\sqrt{\frac{p'(1-p')}{n} }[/tex]

[tex]\frac{d}{Z_{1-\alpha /2}}= \sqrt{\frac{p'(1-p')}{n} }\\(\frac{d}{Z_{1-\alpha /2}} )^2= \frac{p'(1-p)}{n} \\n*(\frac{d}{Z_{1-\alpha /2}} )^2= p'(1-p)\\n= p'(1-p)*(\frac{Z_{1-\alpha /2}}{d} )^2\\[/tex]

[tex]Z_{1-\alpha /2}= Z_{0.98}= 2.054[/tex]

[tex]n= 0.28*(1-0.28)*(\frac{2.054}{0.01} )^2= 8505.33[/tex]

n= 8506 voters

I hope this helps!

A piece of string is 120 centimeters long. How long would the piece of string measure in meters?. Enter your answer in the box.

Answers

Answer:

1.2 metres

Step-by-step explanation:

1 metre = 100cm

so 120cm has 120 cm * 1 m/ 100cm = 1.2 m

Evaluate
[tex]lim \: \frac{ \frac{1}{ \sqrt{x} } - 1}{ \sqrt{x} - 1} \: as \: x \: approaches \: 1[/tex]

Answers

Answer:

  -1

Step-by-step explanation:

In many cases, the simplified expression is not undefined at the point of interest.

  [tex]\dfrac{\left(\dfrac{1}{\sqrt{x}}-1\right)}{\sqrt{x}-1}=\dfrac{\left(\dfrac{1-\sqrt{x}}{\sqrt{x}}\right)}{\sqrt{x}-1}=\dfrac{-1}{\sqrt{x}}[/tex]

This can be evaluated at x=1:

  -1/√1 = -1

Then, the limit is ...

  [tex]\boxed{\lim\limits_{x\to 1}\dfrac{\left(\dfrac{1}{\sqrt{x}}-1\right)}{\sqrt{x}-1}=-1}[/tex]

__

A graph confirms this conclusion.

plz give me correct answers ​

Answers

Answer:

Step-by-step explanation:

greatest number=8643

smallest number=3468

difference=8643-3468=5175

6.1.  DCCLVI

CDXCIV

(II) 74,746

a bank teller has 340 one hundred dollar bills. how much money does the bank teller have?

Answers

Answer:

$34,000

Step-by-step explanation:

Since a one hundred dollar bill is equal to 100, we simply multiply 340 and 100 together:

340(100) = 34000

Not sure how to solve this

Answers

Step-by-step explanation:

You just have to plug the numbers they give you into the equation. For the first one, you have 0 + 5y = 10; 5y = 10; y = 2. For the second one, x + 5(0) = 10; x + 0 = 10; x = 10. And lastly, for the third one, x + 5(6) = 10; x + 30 = 10; x = -20.

A comprehensive survey released by a college reports that the true proportion of all students at the college who use drugs is 0.3. You survey 100 students in your dorm and record that the proportion of students who use drugs is 0.15. The proportion of all students at this college who use drugs is a

Answers

Complete Question

The proportion of all students at this college who use drugs is a_____and the proportion of students who use drugs in your dorm is a _____ .

Options

a. statistic; parameter b. parameter; statistic c. population; sample d. measure of central tendency, measure of variability e. none of the above

Answer:

b. parameter; statistic

Step-by-step explanation:

A parameter is a summary of data for an entire population.

Statistic, on the other hand, summarizes data for a sample of the population.

The proportion of all students at this college who use drugs is a parameter and the proportion of students who use drugs in your dorm is a sample.

The correct option is B

Scientists rely on which of the following to provide critical feedback when revising scientific explanation?
A) Null Hypothesis
B) Dogma
C) Opinion
D) Peer review

Answers

Answer:

D) Peer review

Step-by-step explanation:

Peer review aims at reviewing a scientific work either publication, research journal or ideas by a group of other scholar in the field. By doing so; Peer review helps to redefine the content of the research and ensures its originality before such can be published. Also; another significant purpose of Peer review as it provide critical feedback when revising scientific  explanation is to help ameliorate the quality of the documents, supply suggestions, and also focuses on pointing out mistakes and errors where needed prior to the publication time.

please help me, i will give you brainliest

Answers

Answer:

52°i think

Step-by-step explanation:

148°-96°=52°

Answer:

The answer is below

Step-by-step explanation:

The answer is 52 degrees

The third option in the line

Hope the answer helps

name the blue shaded parts as an improper fraction

Answers

Answer :

option C is the correct answer

Hope this may help you

━━━━━━━☆☆━━━━━━━

▹ Answer

[tex]\frac{13}{4}[/tex]

▹ Step-by-Step Explanation

4 Squares = x/4

13 parts are shaded in so...

The answer would be 13/4.

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

If Aequals[Start 2 By 2 Matrix 1st Row 1st Column 1 2nd Column negative 4 2nd Row 1st Column negative 4 2nd Column 5 EndMatrix ] and ABequals[Start 2 By 3 Matrix 1st Row 1st Column negative 10 2nd Column 1 3rd Column 9 2nd Row 1st Column 7 2nd Column negative 15 3rd Column 8 EndMatrix ]​, determine the first and second columns of B. Let Bold b 1 be column 1 of B and Bold b 2 be colum

Answers

Answer:

[tex]b_1=\left(\begin{array}{ccc}-3\\3\end{array}\right),b_2=\left(\begin{array}{ccc}-\dfrac{65}{11}\\\\-\dfrac{19}{11}\end{array}\right)[/tex]

Step-by-step explanation:

Given matrix A and AB below:

[tex]A=\left(\begin{array}{ccc}1&-4\\-4&5\end{array}\right)\\\\\\ AB=\left(\begin{array}{ccc}-10&1&9\\7&-15&8\end{array}\right)[/tex]

For the product AB to be a 2 X 3 matrix, B must be a 2 X 3 matrix.

Let matrix B be defined as follows

[tex]B=\left[\begin{array}{ccc}a&c&e\\b&d&f\end{array}\right][/tex]

Therefore:

[tex]\left(\begin{array}{ccc}1&-4\\-4&5\end{array}\right)\left(\begin{array}{ccc}a&c&e\\b&d&f\end{array}\right)=\left(\begin{array}{ccc}-10&1&9\\7&-15&8\end{array}\right)[/tex]

This results in the equations

a-4b=-10-4a+5b=7c-4d=1-4c+5d=-15

Solving the first two equations simultaneously

a-4b=-10  (a=-10+4b)

-4a+5b=7

Substitution of [tex]a=-10+4b[/tex] into the second equation

[tex]-4(-10+4b)+5b=7\\40-16b+5b=7\\-11b=-33\\b=3[/tex]

Recall that  [tex]a=-10+4b[/tex]

[tex]a=-10+4(3)=-10+7\\a=-3[/tex]

Solving the other two equations

c-4d=1 (c=1+4d)

-4c+5d=-15

Substitution of c=1+4d into the second equation

[tex]-4(1+4d)+5d=-15\\-4-16d+5d=15\\-11d=19\\d=-\dfrac{19}{11}\\ Recall: c=1+4d\\c=1+4(-\frac{19}{11})\\c=-\dfrac{65}{11}[/tex]

Therefore, we have:

[tex]a=-3, b=3, c=-\dfrac{65}{11}, d=-\dfrac{19}{11}[/tex]

Thus:

[tex]b_1=\left(\begin{array}{ccc}-3\\3\end{array}\right)\\\\\\b_2=\left(\begin{array}{ccc}-\dfrac{65}{11}\\\\-\dfrac{19}{11}\end{array}\right)[/tex]

Answer:

option c

Step-by-step explanation:

it is said that a computer repairman makes 25 dollars per hour

this column shows the right amount of money he earns per hour

Which benefits do employers commonly offer to full-time employees? 401(k) plan free gasoline health insurance life insurance paid vacation rent

Answers

Answer:

401k, health insurance, life insurance, paid vacation

Step-by-step explanation:

The benefit do employers commonly offer to full-time employees should involved the 401k, health insurance, life insurance, paid vacation.

Benefits made to employees:

When the employees are doing full time job so the company gives the following benefits:

heath insurancePaid vacation. Life insurance401 (k) Plan

These benefits motivates the employees to stay longer with the organization and be effective in the process which they deal with.

learn more about insurance here: https://brainly.com/question/24461491

what is 9 - 4 1/12 ??? im so stupid smh

Answers

Answer:

4 11/12

Step-by-step explanation:

Well 9 - 4 1/12 is 4 11/12

Fiona solved the equation shown 1/2-1/3(6x-3)=-13/2 what is the missing step of her solution?

Answers

Answer:

Summation of the non variable Expression within the quality sign

1/2 + 1-2x= -13/2

3/2-2x= -13/2

Step-by-step explanation:

1/2-1/3(6x-3)=-13/2

First step

Using the distributive property to simply

1/2-(6x/3)+(3/3)=-13/2

1/2 -2x +1 = -13/2

Second step

Summation of the non variable Expression within the quality sign

1/2 + 1-2x= -13/2

3/2-2x= -13/2

Third step

Isolating the variable Expression by using the addition property of equality

-2x = -13/2 - 3/2

-2x = -16/2

Fourth step

Isolating the variable by using the division property of equality

-2x = -16/2

X = -16/2 * -1/2

X = -16/-4

X= 4

Answer:

Simplify by combining like terms

Step-by-step explanation:

25% of a class do not play basketball.
27 children do play. How many

children are in the class?

Answers

Answer: 36 children

Step-by-step explanation:

3/4 of the class plays basketball.  Thus 3/4x=27.  Multiply each side by 4/3 to get x = 36

8. What is the lateral area of the cone?​

Answers

Answer:

[tex]190.07 \: {yd}^{2} [/tex]

Option D is the correct option.

Step-by-step explanation:

Diameter (d) = 10 yd

Radius(r) = 10/2 = 5 yd

Slant height (l)= 12.1 yd

We know,

Lateral surface area of cone:

[tex]\pi \: r \: l[/tex]

[tex] = 3.14 \times 5 \times 12.1[/tex]

[tex] = 189.97 \: {yd}^{2} [/tex]

which is nearly 190.07 square yards.

Hope this helps...

Good luck on your assignment..

Answer:

[tex]190.07 {yd}^{2} [/tex]

Step-by-step explanation:

[tex]lateral \: \: area \\ = \pi \: rl \\ = 3.14 \times 5 \times 12.1 \\ = 189.97[/tex]

189.97 square yards which is nearly 190.07 square yards

3/(2x-1)+4=6x/(2x-1)

Answers

Answer: x = 1/2

Explanation:
3/(2x-1)+4=6x/(2x-1)

Make both sides has the same denominator:

3/2x-1 + 4(2x-1)/(2x-1) = 6x/2x-1

Cut down all the denominator:

3 + 8x -4= 6x
8x - 1 = 6x
2x = 1
X= 1/2

Refer to the following partial ANOVA results from Excel (some information is missing).
Source of Variation SS df MS F
Between groups 210.2778
Within groups 1483 74.15
Total 2113.833
The number of treatment groups is:_______.
a- 4
b- 3
c- 2
d- 1

Answers

Answer:

a) 4

Step-by-step explanation:

Take the equation:

x + 1483 = 2113.833

Solve for x:

x = 2113.833 - 1483

x = 630.833

To find df, take the equation:

[tex]\frac{x}{y} = 210.2778[/tex]

Where x = 630.833

[tex] \frac{630.833}{y} = 210.2778 [/tex]

Solve for y:

[tex] y = \frac{210.2778}{630.833} [/tex]

[tex] y = 2.9999 [/tex]

y ≈ 3

Take number of treatments = k

Degrees of freedom, df, of numberof treatments = k - 1

Therefore,

Where df = 3, we have:

k - 1 = 3

Solve for k:

k = 3 + 1

k = 4

The number of treatment groups is 4

The number of treatment groups is (a) 4

From the partial ANOVA results, we have:

SS total = 2113.833SS within = 1483MS between = 210.2778

Start by calculating the SS between using the following formula

SS between= SS total - SS within

So, we have:

SS between = 2113.833-1483

SS between = 630.833

Next, calculate the degrees of freedom (df) using:

df = SS between / MS between

So, we have:

[tex]df = \frac{630.833}{210.2778}[/tex]

Divide

[tex]df = 2.99999809775[/tex]

Approximate

[tex]df = 3[/tex]

The number of treatment groups (n) is then calculated using:

[tex]n = df + 1[/tex]

This gives

[tex]n = 3+ 1[/tex]

Add 3 and 1

[tex]n = 4[/tex]

Hence, the number of treatment groups is (a) 4

Read more about ANOVA results at:

https://brainly.com/question/15394749

Which of the following options have the same value as 30\%30%30, percent of 818181?

Answers

Answer:

Option B is correct = [tex]0.3 \times 81[/tex]

Step-by-step explanation:

The complete question is: Which of the following options have the same value as 30% of 81?

Group of choices is:

(A) [tex]\frac{30}{100}\times 81 \times 100[/tex]

(B) [tex]0.3 \times 81[/tex]

(C) [tex]0.03 \times 81[/tex]

(D) [tex]\frac{3}{10}\times 81 \times 10[/tex]

(E) [tex]30 \times 81[/tex]

Now, the expression given to us is 30% of 81.

Simplifying the above expression we get;

   30% of 81  =  [tex]\frac{30}{100} \times 81[/tex]

                     =  [tex]\frac{3}{10} \times 81[/tex]  =  [tex]0.3 \times 81[/tex]

Now, we will solve each of the given options and then see which option matches with our calculation.

Option (A) is given;

[tex]\frac{30}{100}\times 81 \times 100[/tex]  =  [tex]30 \times 81[/tex]

This doesn't match with our answer, so this option is not correct.

Option (B) is given;

[tex]0.3 \times 81[/tex]  

This matches with our answer, so this option is correct.

Option (C) is given;

[tex]0.03 \times 81[/tex]  

This doesn't match with our answer, so this option is not correct.

Option (D) is given;

[tex]\frac{3}{10}\times 81 \times 10[/tex]  =  [tex]3 \times 81[/tex]

This doesn't match with our answer, so this option is not correct.

Option (E) is given;

[tex]30 \times 81[/tex]  

This doesn't match with our answer, so this option is not correct.

please ansqwer quik thanks!!!!!!

Answers

Answer:

8

Step-by-step explanation:

Which of the following are solutions to the equation below?
Check all that apply.
x^2 + 3x - 18 = 0
Help ASAP

Answers

Answer: B and C

Explanation:
x^2 + 3x - 18 = 0
(x + 6)(x - 3) = 0

Set x + 6 = 0 => x = -6

Set x - 3 = 0 => x = 3

Answer: b & c

Step-by-step explanation: a p e x 2020

the least integer of a set of consecutive integers _25 if the sum of these integers is 26 how many integers are in this sets

Answers

Answer:

1

Step-by-step explanation:

What is the sum of the measures of the interior angles of the stop sign?

Answers

Answer:

Sum of Interior Angles = (Number of Sides -2) • 180 degrees

Sum of Interior Angles = (8 -2) * 180 = 1,080

Find the common ratio of the geometric sequence: 12.5,−62.5,312.5,−1562.5,…

Answers

Answer:

-5

Step-by-step explanation:

its what you multiply by to get the next number

The first step in solving for the variable / in the equation P= 21 + 2w is:
A. Add the 2w to both sides of the equal sign.
B. Subtract the 2w to both sides of the equal sign.
C. Divide the 2 to both sides of the equal sign.
D. None of these choices are correct.

Answers

You have 2 unknown variables so no matter what you did you wouldn’t be able to solve this equation.

Due to this, I think the answer is D.

Convert.
5 days =
lao
hours​

Answers

Answer:

120 Hours

Step-by-step explanation:

24 hours in a day

5 days

24 x 5 = 120

PLZ HELP WILL GET BRAINLIEST! In the year 2005, the average cost of a car could be modeled by the equation C= -15x2 + 20x - 3 where x is the number of years since 2005. By the year 2010 the average cost had changed, and the equation could be modeled by C= -10x2 + 30x - 2. Find the difference in average cost equation for cars between 2005 and 2010.

Answers

Answer:  1

Explanation:

Plug x = 0 into the first equation to find that C = -3. We use x = 0 since 0 years have passed by (the starting point is 2005 for this equation).

Now plug x = 0 into the second equation. The starting point is now 2010 which explains why we use the same x value, just for a different equation. You should get C = -2 here.

The difference from C = -3 to C = -2 is 1, as this is the distance between the two values.

Chances are C is measured in thousands of dollars, so C = 1 represents an average cost of 1000 dollars. Though your teacher never mentions "in thousands of dollars", so it's probably best to stick to 1 instead of 1000. I would ask your teacher to clarify.

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