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Answer:

Step-by-step explanation:

Given the expression

√x = √2 + 1

To get x, we will have to square both sides

(√x)² = (√2 + 1)²

x = (√2 + 1)(√2 + 1)

x = √4+√2+√2+1

x = 2+2√2+1

x = 3+2√2

Hence the value of x is 3+2√2

Answer:

≈ 0.8 m²

Step-by-step explanation:

________________________________________________

FORMULA FOR FINDING AREA OF SEGMENT :-

[tex]A = r^{2} [\frac{\alpha }{360} \times \pi - (\sin \frac{\alpha }{2} \times \cos \frac{\alpha }{2} )][/tex]

Where :-

________________________________________________

Angle subtended by the minor arc at the center = 360° - 300° = 60°

Radius of the circle = 3 m

Area of the segment =

[tex]3^{2} [ \frac{60}{360} \times \pi - (\sin \frac{60}{2} \times \cos \frac{60}{2})][/tex]

[tex]= 9[\frac{1}{6} \times \pi - (\sin 30 \times \cos 30)][/tex]

[tex]= 9[\frac{\pi }{6} - (\frac{1}{2} \times \frac{\sqrt{3} }{2} )][/tex]

[tex]= 9[\frac{\pi }{6} - \frac{\sqrt{3} }{4} ][/tex]

[tex]= 9[\frac{2\pi - 3\sqrt{3} }{12} ][/tex]

[tex]= \frac{9}{12} \times (2\pi - 3\sqrt{3})[/tex]

( Assuming √3 = 1.73 & π = 3.14 )

[tex]= \frac{3}{4} \times (6.28 - 5.19)[/tex]

[tex]= 0.75 \times 1.09[/tex]

[tex]= 0.8175[/tex]

∴ Area of the segment ≈ 0.8 m² (rounding to the nearest tenth)

Answer:

On the best-fit line for the points {(2,3) (5,7) (1,2) (4,8)}, one point is (0.5,1.25) and another is the y-intercept (0,0.5). Use the formula for the slope of a line, m = (y2 - y1)/(x2 - x1), to find the slope

Step-by-step explanation:

Hope it help

Mark me as brainliest

Answer:

Slope is (6, 10) and (0, 12). The y-intercept is 12.

Step-by-step explanation:

I had this question on Edmentum.

(2x+1)+(3x-5)=5x-4 you just have to try some of them out and see which ones work

Answer:

each jump rope costs 4 dollars

12÷3=4

Answer:

$4

Step-by-step explanation:

Divide: 12 divided by 3=4

Hope this helped!! :)

Stay safe and have a wonderful day/night!!!!!

Brainliest?!?!

Answer: it's just "i"

Step-by-step explanation:

Answer:

There are 4

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

Step-by-step explanation:

Because you have seven more quarters than dimes, you have 28 quarters, and 21 dimes, which equals 49 dimes and quarters.

You have $9.10

I hope this helps!

Thanks!

Answer:  6x+4x +13x+6 equal

Answer:28/4

Step-by-step explanation:

Change of y over the change of x.

Y is +28

X is +4

Answer:

[tex] \huge \boxed{ \boxed{x = 8}}[/tex]

Step-by-step explanation:

[tex]step - 1 : define \\ 12x - 6 = 90[/tex]

[tex]step - 2 : solve[/tex]

Answer:

<A≅<Z

Step-by-step explanation:

Hope This Helps!

Answer:

Hello! :) have a good day!

X= 0.5

Answer:

x = 0.5

Step-by-step explanation:

Answer: 4 apples will go into each basket if you want all the baskets to be filled with an equal amount.

Step-by-step explanation:

100x=400

dividing through by 100 we get

x=4

Answer:

They will deliver 2208 ounces of food in 4 days.

Step-by-step explanation:

Multiply 34.5 by 16 to get the ounces and got 552. Then multiply 552 by 4 and you'll get the answer.

:))

Answer: Choice D

s^2 = 9^2 + 10^2 - 2(9)(10)cos(100)

==========================================================

Explanation:

Consider the pythaorean theorem

a^2 + b^2 = c^2

which is the same as saying

c^2 = a^2 + b^2

If we tack on "-2ab*cos(C)", then we end up with

c^2 = a^2 + b^2 - 2ab*cos(C)

which is one form of the law of cosines. The side c is opposite angle C, and the two are on opposite sides of the equation. The 'a's and 'b's are on the right side with the angle C.

Note if C = 90 degrees, then cos(C) = cos(90) = 0 which means the whole "-2ab*cos(C)" term goes to 0 and we'd be left with the pythagorean theorem again.

In this case, we replace c with s, replace 'a' with 9, replace b with 10, and C with 100.

Answer:

Option (4)

Step-by-step explanation:

Cosine rule states,

(UT)² = (SU)² + (ST)² - 2(SU)(ST)cos(∠UST)

Here, UT is the opposite side of angle UST and two sides SU and ST are the adjacent sides.

∠UST is the included angle between SU and ST.

By this formula,

s² = 9² + 10² - 2(9)(10)cos(100°)

Therefore, Option (4) will be the answer.

Answer: John would have $1371.33 more in his account than Jack.

Step-by-step explanation:

Formula to calculate amount after t years if compounded continuously:

[tex]A=Pe^{rt}[/tex]

Formula to calculate amount after t years if compounded quarterly:

[tex]A=P(1+\dfrac{r}{4})^{4t}[/tex]

, where P= Principal amount, r= rate of interest.

Given: P= $7,600

t=19 years

For Jack, [tex]r=6\dfrac{1}{4}\%=\dfrac{25}{4}\%=\dfrac{25}{400}=0.0625[/tex]

For John, [tex]r=6\dfrac{3}{4}\%=\dfrac{27}{4}\%=\dfrac{27}{400}=0.0675[/tex]

Amount in Jack's account after 19 years= [tex]7600e^{0.0625(19)}[/tex]

[tex]=7600e^{1.1875}\\\\=7600(3.27887376794)\\\\\approx\$24,919.44[/tex]

Amount in John's account after 19 years= [tex]7600e^{0.0675(19)}[/tex]

[tex]=7600(1+0.0675)^{19}\\\\=7600(3.45931245291)\\\\\approx\$26,290.77[/tex]

Difference = 26290.77-24919.44 = $ 1,371.33

John would have $1371.33 more in his account than Jack.

Answer:668

Step-by-step explanation: I just did it.

Answer:

425 monkeys

Step-by-step explanation:

Subtract the number of birds from the number of monkeys to find the difference between the two.

The question is incomplete. Here is the complete question.

Pete is choosing his clothes for the day. His bottoms will be either cago shorts (C) or jeans (J). His top will be T-shirt (T), sweatshirt (S) or long sleeved shirt (L).

Which is a complete list of the possilbe outfits he can choose from?

CT, CS, CL, JT, JS, JL

CJ, CT, CS, CL

CJT, CJS, CJL

CT, TC, JS, SJ, CL, LC

Answer: CT, CS, CL, JT, JS, JL

Step-by-step explanation: The Fundamental Counting Principle is a method of determining a number of ways independents events can occur, i.e., it states that if there are t ways of doing something and w ways of doing another, then there are t x w ways of doing both things.

For example:

Peter has 2 choices of bottom and 3 choices of top. So, according to the principle, he will have 2 x 3 choices of clothing.

And the choices are:

shorts and t-shirt = CT

shorts and sweatshirt = CS

shorts and long sleeved = CL

jeans and T-short = JT

jeans and sweatshirt = JS

jeans and long sleeved = JL

The order he chooses doesn't matter.

So, the right alternative is CT, CS, CL, JT, JS, JL.

Answer:its the 2nd one

Step-by-step explanation: i remeber because i took this quiz

Answer:

18

Step-by-step explanation:

3x6

Answer:

24

Step-by-step explanation:

Answer:

12x + 52

Step-by-step explanation:

Distribute.

(4 • 3x + 4 • 12) + 4

12x + 48 + 4

12x + 52

Answer:

In this table the graphic shows that...

Step-by-step explanation:

...the population increased 5,9 x 10 6.

The ratio is 64:13

Ratio is the comparison of two quantities which is obtained by dividing the first quantity by the other. If a and b are two quantities of the same kind and with the same units, such that b is not equal to 0, then the quotient a/b is called the ratio between a and b. Ratios are expressed using the symbol of the colon (:). This means that ratio a/b has no unit and it can be written as a : b

Given data:

Population of china in 2005 =1.3*10^9

population of entire world in 2005 = 6.4*10^9

Now,

ratio= 6.4*10^9/ 1.3*10^9

ratio= 64/13 or 64:13

Learn more about ratio here:

https://brainly.com/question/13419413

#SPJ6

Answer:

V = four-thirds pi r cubed = four-thirds (3.14) (9) cubed

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

formula :15÷100×200