Simplify.
c) [tex]\sqrt{25+10\sqrt{5} +5 }[/tex]
d) [tex]\sqrt{30+10\sqrt{5} }[/tex]

Answers

Answer 1

Answer:

[tex]5+\sqrt{5}[/tex]

Step-by-step explanation:

Both are essentially same questions, considering 30 = 25 + 5.

Solving c)

[tex]\sqrt{25+10\sqrt{5} +5} =[/tex][tex]\sqrt{5^2+2*5*\sqrt{5} +(\sqrt{5} )^2} =[/tex][tex]\sqrt{(5+\sqrt{5} )^2} =[/tex][tex]5+\sqrt{5}[/tex]
Answer 2

Solution:

Part-C)

√25 + 10√5 + 5=> √25 + 10 × √5 + 5=> √25 + 10 × 2.236 + 5 [√5 = 2.236 according to the table uploaded]=> √25 + 22.36 + 5=> √52.36 = 7.236

Part-D)

√30 + 10√5=> √30 + 10 × √5=> √30 + 10 × 2.236 [√5 = 2.236 according to the table uploaded]=> √30 + 22.36=> √52.36 = 7.236

Hoped this helped!

Simplify.c) [tex]\sqrt{25+10\sqrt{5} +5 }[/tex]d) [tex]\sqrt{30+10\sqrt{5} }[/tex]

Related Questions

If each car is 16 centimeters long, what is the length of a 15-car train?

Answers

Answer:

yes, 240 cm is equal to 2.4 meters

Step-by-step explanation:

16cm times 15 cars is 240 cm. convert 240 cm to meters equals 2.4, so yes he has enough track for 15 cars on the train.

Answer:

240 cm

Step-by-step explanation:

multiply 16cm by 15 train cars to get 240 cm.

hope this helps and pls mark brainliest

What is 9 ounces equal to in pounds?

Answers

about 0.562 lbs. which means that it’s not even 1 pound yet because 16 ounces equal 1 pound
(i hope this helps!)
9/16 pounds or 0.5625 pounds

9 / 16 = 0.5625

​​pls can u gus tell me the ans and explanation​​​​​​​​​

Answers

Answer:

2325 mL

Step-by-step explanation:

Let x = total volume of the tank. When we fill 4/5 of water into the tank, the amount of water we have can be expressed by 4x/5. Then we only keep 1/3 of that amount (poured away 2/3 of the water), so the amount of water is 4x/15. Thus we set up the equation like this:

4x/15 = 620

4x = 9300

x = 2325

Thus the tank can contain a maximum of 2325 mL.

one hundred coins weigh 346 grams. How many does 1 coin weigh?

Answers

Answer:

3.46grams

Step-by-step explanation:

100coins = 346grams

1 coin = xgrams

then we cross multiply

346 = 100x

therefore x= 3.46grams

can ppl pls look at my three recent questions on my page and help me?? ill mark brainliest and there is pictures!

Answers

We can’t look at recent questions

done answer your three lates question, now give me brainliest please

concept of pattern in mathematics.

Answers

Step-by-step explanation:

A pattern is a series or sequence that repeats.

Math pattern are sequences to calculate or

solve a problem.

Liz buys 5 bags of chips for $10.65. How much does she pay for each bag?

Answers

Answer:

she pays $2.13

Step-by-step explanation:

basic math i guess

brainliest please

Answer:

She pays $2.13 per each bag

Step-by-step explanation:

we know this because 10.65/5 (5 being the amount of bags she bought) and 10.65 being how much money she spent.) Divide the 2 (10.65 / 5) you get $2.13

현 Which is the product of 7/9 and 6

Answers

[tex] \leadsto \sf \dfrac{7}{9} \times 6[/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \sf \dfrac{7 \times 6}{9} [/tex]

[tex] \\ [/tex]

[tex] \leadsto \sf \dfrac{7 \times \cancel 6}{ \cancel9} [/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \sf \dfrac{7 \times 2}{3} [/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \sf \dfrac{14}{3} [/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \textsf{ \textbf{4.67}}[/tex]

__________________☆~

BrainlyVIP☪

Order the angle measures , , and from least to greatest.
(Note that the figure is not drawn to scale.)

Answers

Mark the theorem below

The angle which measures biggest the opposite side of that angle is biggest.

Here

8<10<12JH<IH<JI

Now

<I < <J < <H

Answer:

least to greatest: ∠I < ∠J < ∠H

Explanation:

angle I:

cosI = [tex]\frac{10^2+12^2-8^2}{2*10*12}[/tex]

I = [tex]cos^{-1} (\frac{3}{4} )[/tex]

I = 41.41°

angle H:

cosH = [tex]\frac{10^2+8^2-12^2}{2*10*8}[/tex]

H = [tex]cos^{-1} (\frac{1}{8} )[/tex]

H = 82.82°

angle J:

cosJ = [tex]\frac{8^2+12^2-10^2}{2*8*12}[/tex]

J = [tex]cos^{-1}(\frac{9}{16} )[/tex]

J = 55.77°

They sum up to 180°, so the steps are correct.

please I'm in urgent need of help. what must be added to make (1/4)x^2-(2/3)xy a perfect square?.​

Answers

Answer:

[tex]\bigg(\frac{2}{3} {y} \bigg)^{2}[/tex]

STEP BY STEP EXPLANATION

[tex] \frac{1}{4} {x}^{2} - \bigg( \frac{2}{3} \bigg)xy \\ \\ = \bigg(\frac{1}{2} {x} \bigg)^{2} - 2. \bigg(\frac{1}{2} {x} \bigg)\bigg( \frac{2}{3} y \bigg ) + \bigg(\frac{2}{3} {y} \bigg)^{2} \\ \\ = \bigg(\frac{1}{2} {x} - \frac{2}{3} y\bigg)^{2} \\ [/tex]

To make [tex] \red{\bold{\frac{1}{4} {x}^{2} - \bigg( \frac{2}{3} \bigg)xy}} [/tex] a perfect square we should add [tex]\purple{\bold{\bigg(\frac{2}{3} {y} \bigg)^{2}}}[/tex]

Answer:

[tex]4/9y^2[/tex]

Step-by-step explanation:

Given:

[tex](1/4)x^2-(2/3)xy[/tex]

Consider the identity:

[tex](a - b)^2=a^2-2ab+b^2[/tex]

We can see that:

[tex]a^2=(1/2x)^2[/tex][tex]a = (1/2)x[/tex][tex]2ab = (2/3)xy[/tex]

We can work out the value of b:

[tex]2ab = (2/3)xy = 2(1/2x)(2/3y)[/tex][tex]b=(2/3)y[/tex]

Then we are missing b², what needs to be added:

[tex]b^2=(2/3y)^2=4/9y^2[/tex]

If you select a card at random, what is the probability of getting a 4 of hearts

Answers

Answer:

LOVE I THINK LOL

Step-by-step explanation:

FOUR HEARTS MEAN YOU ARE GOING TO MARRY A LOVLY WOMAN LOL.

David has 400 yards of fencing and wishes to enclose a rectangular area against a pre-existing fence. What is the maximum area that David can have?

A. 5000 yd^2
B. 10000 yd^2
C. 15000 yd^2
D. 20000 yd^2


Answer: D

Answers

The maximum area that David can have is  10,000 yd^2

Area of a rectangle

The formula for calculating the area of a rectangle is expressed as:

A = lw

l is the lengthw is the width

If David has 400 yards of fencing, then;

P = 2(l +w)

400 = 2( l+ w)

200 = l + w

l = 200 - w

Substitute into the area

A = (200-w)w

A = 200w - w^2

If the area is maximized, then;

dA/dw = 0
dA/dw = 200 - 2w

2w =200

w =  100 yards

Recall that;

200 = l + w

l = 200 - 100

l = 100

The maximum area = 100 * 100

The maximum area = 10,000 yd^2

The maximum area that David can have is  10,000 yd^2

Learn more on area of rectangle here: https://brainly.com/question/2607596

GUYS PLS HELP ME WITH THIS SUPER HARD MATH PROBLEM



2+2

Answers

Is 4 jajajajajajaj 2+2= 4

One number exceeds another by 5. The sum of the numbers is 25. What are the numbers?
The numbers are?

Answers

[tex]\bold{\huge{\pink{\underline{ Solution}}}}[/tex]

[tex]\bold{\underline{ Given :- }}[/tex]

The sum of two numbers is 25One number exceeds another by 5

[tex]\bold{\underline{ To \: Find :- }}[/tex]

We have to find the two numbers.

[tex]\bold{\underline{ Let's \: Begin:- }}[/tex]

Let the number be x

Therefore,

Another number be x + 5

According to the question,

[tex]\sf{ x + ( x + 5 ) = 25}[/tex]

[tex]\sf{ x + x + 5 = 25}[/tex]

[tex]\sf{ 2x + 5 = 25}[/tex]

[tex]\sf{ 2x = 25 - 5}[/tex]

[tex]\sf{ 2x = 20 }[/tex]

[tex]\sf{ x = 20/2}[/tex]

[tex]\sf{ x = 10 }[/tex]

Thus, The first number is 10

Therefore,

Another number will be

[tex]\sf{ = x + 5 }[/tex]

[tex]\sf{ = 10 + 5 }[/tex]

[tex]\sf{ = 15 }[/tex]

[tex]\sf{\red{Hence, \:The \:two \:numbers\: are \:10 \:and\: 15}}[/tex]

Find two consecutive whole numbers that square root 29 lies between

Answers

Answer:

25 and 36

Step-by-step explanation:

5x5=25

6x6=36

Hasan plans to choose a book from a section of the store where everything is 25% off
He writes the expression d - 0.25d to find the sale price of the book if the original
price is d dollars.
Bella correctly writes another expression, 0.75d, that will also find the sale price of the
book if the original price is d dollars.
Use the drop-down menus to explain what each part of Hasan's and Bella's
expressions mean.

Answers

Answer:

750

Step-by-step explanation:

Given:

discount of 25%

Hasan's equation:  d - 0.25d

Bella's equation: 0.75d

d represents the original price.

0.25d represents the discount.

0.75d represents the discounted price.

Example: 1,000 is the price. d = 1,000

0.25d = 0.25(1000) = 250 this is the discount

0.75d = 0.75(1000) = 750 this is the discounted price

Hassan: d - 0.25d =  1000 - 250 = 750

Bella: 0.75d = 0.75(1000) = 750

NEED HELP AS SOON AS POSSIBLE! GIVING BRAINLIEST BECAUSE I NEED THIS REALLY SOON!!!!!! ~ thanks ~

Answers

Answer:

a) The temperature of the water at 5 p.m. would be below 0

b) The temperature of the water at 5 p.m. would be -2.5 *C

Step-by-step explanation:

A) Adding-10.6 and -8.7 would give you over 19, and this would be more than 16.8. Therefore, we can assume that 16.8- 19 is less than zero

B) -10.6+16.8-8.7=-2.5

OS
Question 2
A circle has a centre C (1,3)The end points of a diameter of the circle are A (-3,2k) and B (5,k)
Find the value of k, k

Answers

Answer:

k = 2

Step-by-step explanation:

We'll need the Midpoint Formula:  the midpoint of a segment joining points [tex](x_1, y_1) \text{ and }(x_2, y_2) \text{ is } \left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)[/tex].  In other words, average the x's, then average the y's.

The midpoint of a diameter is the centre of the circle!

The midpoint of the segment joining (-3, 2k) and (5, k) is

[tex]\left(\frac{-3+5}{2}, \frac{2k+k}{2} \right)=\left(1,\frac{2k+k}{2}\right)=\left(1,\frac{3k}{2}\right)[/tex]

That last expression is the centre of the circle; it is the same as (1, 3).

[tex]\left(1,\frac{3k}{2}\right)=\left(1,3\right)\\\frac{3k}{2}=3\\3k=6\\k=2[/tex]

When a number is decreased by 30 % of​ itself, the result is 14. What is the​ number?

Answers

Answer: 20

Step-by-step explanation:

We set up the equation.

Let the number = x

x-0.3*x = 14

0.7x = 14

x = 20

Solve log x = 4. (help pls)

Answers

Answer:

x=10000

Step-by-step explanation:

because calculator

Answer:

[tex]x=10000[/tex]

Step-by-step explanation:

[tex]log(x)=4\\\\10^{log(x)}=10^4\\\\x=10000[/tex]

Skye's Ice Cream Shoppe is Mario's favorite place to get ice cream. Unfortunately, because he was late arriving there, his friends had already ordered. He did not know what they ordered for him. They told him that it was either a waffle cone or a sundae and that the ice cream flavor was apricot, chocolate, or blackberry .

a. Make a list of all of the possible ice cream orders.

b. What is the probability that Mario will get something with apricot ice cream?

C. What is the probability that he will get a sundae?

d. What is the probability that he will get either something with chocolate or a waffle cone with blackberry?

e. What is the probability that he will get orange sherbet? ​

Answers

Answer:

a)

apricot waffle conechocolate waffle coneblackberry waffle coneapricot sundaechocolate sundaeblackberry sundae

b) 1/3

c) 1/2

d) 1/2

e) 0

Step-by-step explanation:

a) There are 2 different types of dessert and 3 different ice cream flavors.      

   Therefore, there are 6 possible ice cream orders:

apricot waffle conechocolate waffle coneblackberry waffle coneapricot sundaechocolate sundaeblackberry sundae

b) There are 2 different desserts with apricot ice cream.

⇒ P(apricot ice cream) = 2/6 = 1/3

c) There are 3 combinations of sundae.

⇒ P(sundae) = 3/6 = 1/2

d) P(chocolate) = 2/6 = 1/3

   P(blackberry waffle cone) = 1/6

⇒ P(choc) OR P(BWC) = 1/3 + 1/6 = 1/2

e) P(orange sherbet) = 0

as orange sherbet was not an option!

STEP BY STEP, LONG DIVISION

Answers

Answer:

.53

Step-by-step explanation:

divide 8 by 15 and you get 0.53 explanation As a decimal 8/15 is 0.533 (3 repeating) or about 0.53. To convert 8/15 into a decimal value we simply divide 8 by 15. Since 15 cannot be divided into 8 we add a decimal and a zero then divide 15 into 8, giving us 5 with 5 remaining. Adding another zero allows us to divide 15 into 50 3-times with 5 remaining.



The answers is .53 your welcome :D

Match the base to the corresponding height,

Answers

You have the right answers already

Step-by-step explanation:

hint base x height

or length x width

Element X is a radioactive isotope such that every 18 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 40 grams, how long would it be until the mass of the sample reached 24 grams, to the nearest tenth of a year?

Answers

A proportion would be useful. So we losing 40-24=16 grams. So if 18 — 20 then x — 16. You know what I mean? So 18*16/20 = 14.4y needed

It would be 13.3 years till the mass of the sample reached 24 grams.

What is exponential decay of a substance?

'A quantity is subject to exponentially decay if it decreases at a rate proportional to its current value.'

According to the given problem,

Let x be the number of years spent,

Initial mass = 40 grams

Final mass = 24 grams

Half-life = 18 years

⇒ 24 = 40 × [tex]0.5^{\frac{x}{18} }[/tex]

⇒ 24/40 = 0.5^[tex]\frac{x}{18}[/tex]

⇒ 3/5 = 0.5^[tex]\frac{x}{18}[/tex]

Taking ln on both sides,

⇒ ln (3/5) = [tex]\frac{x}{18}[/tex] ln 0.5

⇒ ln (3/5) / ln (0.5) = x/18

⇒ x = ( 18 × ln (3/5) ) / ln (0.5)

⇒ x = 13.3 years

Hence, we can conclude that the sample need s 13.3 years to decrease its mass from 40 grams to 24 grams.

Learn more about exponential decay here: https://brainly.com/question/27492127

#SPJ2

2. Julia purchases a rectangular plot of land with a perimeter of 90 yards. She knows that the length
of the field is twice the width. Find the dimensions (the length and width) of the field.

Answers

Answer:

sorry I don't know.

Step-by-step explanation:

I don't know but I k ow how you feel

Answer:

The length is 30 and the width is 15

Step-by-step explanation:

i dont really know how i got this. T.T sorry i did it in my head but my answer has ro be right hope this helps

select the correct location on the table. Consider the following equations.f(x)=x^3+3x^2-x-6. g(x)= x^2-3x-2. Approximate the solution to the equation f(x)=g(x) using 3 iterations of successive approximation. Use the graph as a starting point. NO LINKS!! ​

Answers

Answer:

  15/16

Step-by-step explanation:

For the purpose here, we define a starting value as the midpoint of the interval between the integers on either side of the solution. Those integers are 0 and 1, so our starting value for an approximation of x is 1/2.

Each iteration will evaluate the difference f(x)-g(x) at this approximation. If the difference has the sign that matches the difference at the left end of the interval, then the approximation replaces the left end. If the sign matches the difference at the right end, then the approximation replaces the right end. The iteration ends with an approximation that is the midpoint of the new interval.

The attachment shows that our intervals start at [0, 1] and proceed through [1/2, 1], [3/4, 1] to [7/8, 1]. The approximation at the end of the 3rd iteration is x ≈ 15/16.
__

Additional comment

The way this iterative process is defined, the denominator of the n-th approximation will be 2^(n+1). That is, the third iteration will result in a fraction with a denominator of 2^(3+1) = 2^4 = 16, as in 15/16.

As always with repetitive calculations, a graphing calculator or spreadsheet can reduce the work.

What is the simplest form of the radical expression?
V2+V5
V2-15

Answers

Sorry,

Neither of these are radical expressions.

Traits of a radical expression:

The radicand is positive. The radical index is as small as possible.The exponent of each factor of the radicand is a natural number less than the radical index.There are no fractions in the radicand.There are no radicals in the denominator of a fraction.

What is the slope of the line that contains the points (1,-1) and (-2, 8)?

Answers

Answer:

Slope= 3/-1 or -3

Step-by-step explanation:

-2-1= 3

8-  -1= 9

I need help solving this problem.

Answers

Answer:

  30

Step-by-step explanation:

Let d represent the number of dozens of golf balls ordered. Then 12d is the number of balls.

The cost of the Light Hit balls will be (2.00)(12d). The cost of the Pro Sport balls will be (0.90)(12d). The difference in cost is ...

  (2.00)(12d) -(0.90)(12d) = 396.00

  1.10d = 33 . . . . . divide by 12, combine terms

  d = 30 . . . . . . . divide by 1.10

30 dozen balls of each brand were ordered.

Question 4 of 10
Table below represents average food cost broken down by meal. If you were
planning a trip, how much should you budget for food costs per day?
Breakfast
Lunch
$10.98
$13.95
$22.56
Dinner
A. $80.00
O B. $45.00
Ο Ο Ο Ο
O C. $50.00
O D. $20.00
SUBMIT

Answers

Answer:

D

Step-by-step explanation:

1. Add the costs together 10.98+13.95+22.56=47.49

2. To get an average, divide by the amount of numbers you added together. We added 3 numbers together (10.98+13.95+22.56) so we divide by 3.

47.49/3=15.83

The option closest to our number is D so we round up.

$15.83->$20

Have a good day.

Answer:

C

Step-by-step explanation:

add up breakfast, lunch, and dinner averages. equals 47.49 which is close to $50 for the day

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