Find the length of side x in simplest radical form with a rational denominator.

Find The Length Of Side X In Simplest Radical Form With A Rational Denominator.

Answers

Answer 1

Answer:

x = 5[tex]\sqrt{2}[/tex]

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{5}{x}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

x = 5[tex]\sqrt{2}[/tex]


Related Questions

leo borrowed money for a new car from the bank. after month 1, the loan balance was $14760. after month 2, the balance was $14,520. if this pattern continues what will the balance be after 3 years​

Answers

Answer:

8,640

Step-by-step explanation:

Write two equivalent equations for the equation 3f+2m=16.

Answers

Answer:

16=3f+2m

16-2m=3f

Step-by-step explanation:

A toy factory makes 15 teddy bears every 10 minutes. The factory makes teddy bears for 8 hours each work day. What is the fewest number of work days the factory will need to make 5,000 teddy bears? Write an explanation to show how you determined your answer.

Answers

Answer:

1 day

Step-by-step explanation:

Cuz if 15 bears are made in 10 min you multiply by 60 cuz 60 min = 1 hour, so 15 times 60=900 then if the work 8 hr a day then u multiply 900 by 8 to get 7200 bears

what number is a solution of the inequality 3<3x-15

Answers

Answer:

x > 6

{7, 8, 9, 10...}

Step-by-step explanation:

[tex]3<3x-15\\\\3x-15>3\\\\3x-15+15>3+15\\\\3x>18\\\\\frac{3x>18}{3}\\\\\boxed{x>6}[/tex]

Any number will be a solution if it's value is greater than 6.

Hope this helps.

Please help will mark brainy
A) 9¢/qt
B) $91.43¢/qt
C) 64¢/qt
D) 0.64¢/qt

Answers

I am pretty sure it’s B

answer:

b. $91.43/qt

step-by-step explanation:

it's a lot of work

If f, g, and h are all positive number which of the following is NEVER true?

Answers

Answer:answer=A

step by step explanation:

because the question said they are all positive numbers and if it has the sign of minus and minus is a negative sign.

Lola's puppy weighed 19 ounces on the second visit the puppy had gained 9 ounces on the third visit the puppy heaven gained another 7 ounces what is the percent increase since the first visit and the puppy weighed around to the nearest percent

Answers

Answer:

84%

Step-by-step explanation:

In order to calculate this, we first need to calculate the total weight of the puppy on the last visit. We do this by adding the weight that the puppy gained each visit like so...

19oz + 9oz + 7oz = 35oz

Now that we have the final weight we simply divide the final weight by the initial weight of the puppy in the first visit. Then we subtract 1 from that value and multiply by 100 to get the percentage increase.

35oz / 19oz = 1.84

1.84 - 1 = 0.84

0.84 * 100 = 84%

Finally, we can see that the puppy had an 84% increase since the first visit.

What number should be added to both sides of the equation to complete the sqaure x^2+8x=4

Answers

The number 16 must be added to the equation for making it a perfect square.

We must have the idea of algebraic identities to solve this problem. The identity of the sum of square of two variables is given below.

We know that [tex](a+b)^{2}= a^{2} +2ab+b^{2}[/tex].

So make a perfect square the equation must be of the form of [tex]a^{2} +2ab+b^{2}[/tex]

Given, [tex]x^{2} +8x=4[/tex]

     ⇒ [tex]x^{2} +2*4*x+ 4^{2}=4+4^{2}[/tex]

     ⇒  [tex](x+4)^{2}=20[/tex]

So, to complete the square we have added 16 to both the sides of the equation and now it is in the form of [tex](a+b)^{2}[/tex].

The required number to be added is 16.

To learn more about the algebraic identities visit the link:

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What is the slope of the equation y = 12x - 19?

Answers

Answer:

12 is the slope.

Step-by-step explanation:

This is because in the equation y = mx + b, m is the slope.

Hope this helps!

please help! confused & tired :(

Answers

Answer:

8 feet

Step-by-step explanation:

Answer:

a=8 ft

Step-by-step explanation:

Whats The Answer Marking Brainliest, Please explain your answer:D...................
..

Answers

Answer:

D.

Step-by-step explanation:

If you were to try to figure out how many miles Sandra walked per hour, you would set up your division as 13/3 miles over 1 hour, so therefore D is correct.

I hope I could help :)

What is the solution to the equation? 5-3x = x - 7 1 O A. 2 OB. 1 OC. C. 2 D. 3​

Answers

Answer:

D. x=3

Step-by-step explanation:

What is the slope of the line that passes through the points (4, 6)and (-16, -18)? Write your answer in the simplest form.

Answers

Answer:

6 / 5

I hope it is correct.

Step-by-step explanation:

Slope is (y2 - y1) / (x2 - x1)

choose two points: (4, 6) and (-16, -18)

(-18 - 6) / (-16 - 4)

-24 / -20 (simplify by -4)  

6 / 5

5. Order the following numbers from least to greatest.
-√5, -, 3, -1.5, √16,7/2

Answers

The ordering of the numbers from the smallest to the biggest will be -3, -✓5, -1.5, 7/2, ✓16.

How to illustrate the information?

It should be noted that we have to arrange the numbers from.the smallest to the biggest.

The numbers include:

-√5 = -2.24

-, 3,

-1.5,

√16 = 4

7/2 = 3.5

Therefore, the ordering of the numbers will be -3, -✓5, -1.5, 7/2, ✓16.

Learn more about numbers on:

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Laura drove 255 miles in 5 hours.at the same rate, how many miles would she drive in 8 hours

Answers

Answer:

Step-by-step explanation: 255/5=51 51x8= 408

Classify √3.
√3 means "the nonnegative square root of 3."
The square root of a number is a number that when multiplied by itself equals the original number. The radical symbol √ is used to denote the nonnegative square root.

Answers

√ 3 can be classified as a non negative square root of the number 3 which is also a real and irrational number.

We are given a number √ 3.

We need to classify the number.

First we can see that, this is the non negative square root of the number 3.

That is when we multiply √ 3 two times, we get the number 3.

Also, we can see that, it will be an irrational number as it will be non terminating and non repeating number.

That is it will be a real irrational number.

Therefore, we get that, √ 3 can be classified as a non negative square root of the number 3 which is also a real and irrational number.

Learn more about irrational numbers here:

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You must show your staterment and reason T-chart to get full credit
Given: KS bisects Pą at T, Fą bisects RS at T.
Prove A PTS = AQTR

Answers

Step-by-step explanation:

RS bisects PQ at T. PQ bisects RS at T.

prove: Triangle PTS congruent Triangle QTR

Statements..............................Reasons

(1) RS bisects PQ at T.................(1) Given

(2) PQ bisects RS at T.................(2) Given

(3) angle PST ≅ angle QRT........(3) supplements of congruent angles

(4) TS ≅ TR......................(4) Converse of Base Angles Theorem

(5) angle PTS ≅ angle QTR.........(5) Subtraction Property of Equality

(6) Triangle PTS ≅ Triangle QTR...(6) Angle side angle

Hope it's help you..... ^_^❤️

NEED HELP ASAP ILL GIVE BRAINLIST
Each time he read his book, Paul recorded the number of minutes he spent reading and the number of pages he read in that time. He graphed this information, and decided that number of pages and time are related proportionally. Which graph is most likely the graph of his information?

Answers

Answer: the first one. the graph is right side up.

Answer:

fuffufufufufufufufufufufufufufuufufufufufufufufufufufufufufffuffuffuffuufufuf

Step-by-step explanation:

Calculate the slope of the trend line
Please... :(

Answers

Answer:

Slope is .18

Step-by-step explanation

Find two points along the line.

Calculate slope using [tex]\frac{y2-y1}{x2-x1}[/tex].

I used the points (1985, .21) and (1990, .30).

You earn $8.00 per hour. Worked 35.25 hours last week. What was you gross pay?

Answers

35.25 x 8 = 282

Your gross pay would be $282 this is not including taxes.

Answer:

two hundred eighty two dollars

Solve for x
(x+3)^2

A. x^2 + 3x + 2
B. 2x^2 + 3x + 2
C. x^2 + 6x + 2
D. x^2 + 6x + 9

Answers

Answer:

D. x²+6x+9

Step-by-step explanation:

—Math

(x + 3)² = (x + 3)(x + 3)

= x² + 3x + 3x + 9

= x² + 6x + 9

follow my account ^^

Answer:

D.) just took the Unit Session

Step-by-step explanation:

The bake sale only sold two items. Cookies cost $2 and mini pies cost $5. Josie bought twice
as many cookies as pies and spent a total of $27. How many cookies did she buy?

Answers

she bought 11 cookies and 1 mince pie

Answer:

She bought 6 cookies and 3 mini pies.

Step-by-step explanation:

I need help and if you know it I would really appreciate it!

Answers

Answer:

B

Step-by-step explanation:

A non-proportional linear expression is when it's not going over the origin.

I need help ahhh


Graph y= -1/3x + 5

Answers

start with putting the dot on the right to positive 5 on the y-axis (the vertical line) then from there use rise over run method. since it is negative you will move the dot on the left down instead. you will go DOWN 1 and to the LEFT 3. i’m sorry if i’m wrong:(((

write the slope intercept form of the equation of the line described.
through:(-2,0), parallel to y=-2x+3

Answers

Answer: y = -2x - 4

Slope will be same (-2) as the given equation bc they want a parallel line.
Use the given ordered pair and slope to solve for b.
Work:

As an estimation we are told 5 miles is 8 km.
Convert 92 km to miles.

Answers

Answer:

57.5

Step-by-step explanation:

8 km = 5 m

97/8 = 11.5

5 * 11.5 = 57.5

The points (-5, 5) and (5, r) lle on a line with slope -3. Find the missing coordinate r.

Answers

Answer:

r = -25

Step-by-step explanation:

slope is change in "y" over change in "x"

so whatever your change in "x" is between the two points, the change in "y" needs to be in proportion to the slope of -3.

Here the change in "x" is +10, and to make the proportion of the slope equal to -3, the change in "y" needs to be -30.

Starting from the "y" coordinate of 5, a change in "y" of -30 will give you r = -25

So the two points are (-5, 5) and (5, -25)

Keegan and Annie are working on an experiment in the science lab. Their mixture contains ingredients that weigh 5.22 grams, 5.7 grams, and 7.43 grams. Keegan calculates the combined weight to be 18.35 grams; Annie calculates it to be 13.22 grams.
Who is correct, and why?

Answers

Answer:

C.

Step-by-step explanation:

Annie did not do it right

Answer:

C

Step-by-step explanation:

does anyone know the answer to this?

Answers

Answer: x=10

Step-by-step explanation:

x=10 because 10/5=2

Answer:

x = 10

Step-by-step explanation:

please Mark me brainliest

If 3x + y = 21 then what is the values of 9x +3y
—————-

9

Answers

A

X=0, Y=21

The answer to the fraction is 7 bc 63=21*3
So 63/9=7
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