I need help solving this.

Answer:

C. √2 - 1

Step-by-step explanation:

If we draw a square from the center of the large circle to the center of one of the small circles, we can see that the sides of the square are equal to the radius of the small circle (see attached diagram)

Let r = the radius of the small circle

Using Pythagoras' Theorem [tex]a^2+b^2=c^2[/tex]

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

to find the diagonal of the square:

[tex]\implies r^2 + r^2 = c^2[/tex]

[tex]\implies 2r^2 = c^2[/tex]

[tex]\implies c=\sqrt{2r^2}[/tex]

So the diagonal of the square = [tex]\sqrt{2r^2}[/tex]

We are told that the radius of the large circle is 1:

⇒ Diagonal of square + r = 1

[tex]\implies \sqrt{2r^2}+r=1[/tex]

[tex]\implies \sqrt{2r^2}=1-r[/tex]

[tex]\implies 2r^2=(1-r)^2[/tex]

[tex]\implies 2r^2=1-2r+r^2[/tex]

[tex]\implies r^2+2r-1=0[/tex]

Using the quadratic formula to calculate r:

[tex]\implies r=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]\implies r=\dfrac{-2\pm\sqrt{2^2-4(1)(-1)}}{2(1)}[/tex]

[tex]\implies r=\dfrac{-2\pm\sqrt{8}}{2}[/tex]

[tex]\implies r=-1\pm\sqrt{2}[/tex]

As distance is positive, [tex]r=-1+\sqrt{2}=\sqrt{2}-1[/tex]  only

Answer:

Probability that Jonas gets an orange is 1/4 and Beth gets a peach is 3/16.

Step-by-step explanation:

Here,

The total number of fruits n(S) = 3 + 4 + 4 + 2 + 3

= 16

The total number of oranges n(O) = 4

The total number of peas n(P) = 3

Now,

P(O) = n(O)/n(S)

= 4/16

= 1/4

Again,

P(P)= n(P)/n(S)

= 3/16

Answer:

Step-by-step explanation:

A number is irrational if:

-it cannot be written as a ratio of two integers

-the decimal part goes on forever without repeating

-is a real number that is not rational

Answer:

C

Step-by-step explanation:

C has the only two equivalent expressions.

Answer C

PS. If wrong let me know. If not, five stars, thanks and Brainliest would be great. Glad I could help

Answer: Correct me if I am wrong, but since you chose the middle answer I will be awnsering that one

you will need to catch 1,000 more dragonfly so it will look like this

34,280 + 1000d + 1000 > 36,480

Answer:

D

Step-by-step explanation:

If we plug in D, we get 4(3/2) + 5 = 11.

4(3/2) + 5 = 11

12/2 + 5 = 11

6 + 5 = 11

11 = 11

Therefore,the answer is D.

Answer:

When put into a decimal, the answer is 0.09 recurring.

Step-by-step explanation:

Divide the numerator by the denominator to convert a fraction to a decimal. The entire number stays to the left of the decimal when there is a mixed number.

Answer:

5x - 6

Step-by-step explanation:

f(x) = 5x + 4

f(x-2) = 5(x -2) + 4

f(x-2) = 5x - 10 + 4

f(x-2) = 5x - 6

I hope this helps!

Answer:

5x - 6

Step-by-step explanation:

Plug in x-2 to the function:

f(x - 2) = 5(x - 2) + 4

= 5x - 10 + 4

= 5x - 6

Answer:Find where the expression  

is undefined.

List all of the vertical asymptotes:

This is what your graph would look like:

Still stuck? Get 1-on-1 help from an expert tutor now.

Step-by-step explanation:

Answer:

K = 3

Explanation given below in the image,

I hope my answer helps you.

Answer:

three and three fourths

Step-by-step explanation:

add all the numbers and subtract from 20

Answer:

point d is correct answer

Answer:

The lowest common multiple of 10 and 25 is 50, so set that as the denominator.

9/10=45/50 (multiply by 5)

23/25=46/50 (multiply by 2)

46/50 > 45/50 therefore

23/25 > 9/10.

Hope this helps :)

Step-by-step explanation:

Answer: tbh its not a

Step-by-step explanation: i just know

Answer:

Answer is C.      2, -4,

Step-by-step explanation:

Answer:

1) 24 of age

Step-by-step explanation:

Sophia's uncle Reynald is 24 years old

12+(5×3)-4

12+15=27-4=23

But the only closest option to the sum is 24.

The sum to this word problem is 24.

Answer:

Sophia's expression is incorrect because of the rule of equation telling you to multiply first and then subtract. the correct expression is (12+5)3-4 which would equal to 47

Step-by-step explanation:

Answer:

about 101 miles to equal the same amount as place A. (if this is daily")

Step-by-step explanation:

so how I went about this is first I added 55+0.33 because thats how much you need to drive one mile for one day with place A. and that equaled 50.30 so then I divided 50.30 by 0.55 because thats all it costs per mile for place B so I got 100.545454545 so i just rounded it up to 101

i hope im right plmn;)

Answer:

no they are not the same tax or rate because 33 cents off is company B

Step-by-step explanation:

88 cents for company A and 55 cents for company B

and company A charged a fee of 33 cents but company B did not

Answer:

30

Step-by-step explanation:

use Pythagoras theorem

hypothenuse of bottom triangle =√24^2+32^2 = 40

x =√50^2-40^2 = 30

The equation for each translation of the graph of y=| 1/2x-2|+3 is

g(x)=| 1/2x-3/2|+3.

Given that,

[tex]y=| 1/2x-2|+3[/tex]

Translate the above one unit to the left

Replace y with f(x)

[tex]f(x)=| 1/2x-2|+3[/tex]

A translation is a movement of the graph either horizontally parallel to the -axis or vertically parallel to the -axis.

When an absolute function is translated to the left, the resulting function is,

[tex]g(x)=f(x-h)[/tex]

Because it is been translated 1 unit to the left, h = -1

[tex]g(x)=f(x-(-1))[/tex]

[tex]g(x)=f(x+1)[/tex]

Now we calculate f(x+1)

[tex]f(x+1)=| 1/2(x+1)-2|+3[/tex]

[tex]f(x+1)=| 1/2x+1/2-2|+3\\f(x+1)=| 1/2x+1-4/2|+3\\[/tex]

[tex]f(x+1)=| 1/2x+(-3)/2|+3\\\\f(x+1)=| 1/2x-3/2|+3[/tex]

We have,g(x)=f(x+1)

[tex]g(x)=| 1/2x-3/2|+3[/tex]

To learn more about the translation visit:

https://brainly.com/question/1046778

Answer:

4

Step-by-step explanation:

The one that weighs the less is 80

Pls give brainlest.

Answer:

EAsy 4

Step-by-step explanation:

Answer:

x = 60°

Step-by-step explanation:

m∠EGD = m∠BGF = x°

The following m∠EGD, m∠DGC, m∠EGA lies on a straight line.

solve:

Answer:

2(3x-9)=6x-9 Distribute

6x-18=6x-9 combine like terms

- 6x     -6x    cross 6x

+18    +18       add 18+-9

-----------------------

x=9

Answer:

I think this is correct.

Step-by-step explanation:

1/-7 =  -0.14285714285714

If you round it to the nearest hundredth, it will be -0.14.

I hope you meant negative :)

Answer:

3/8 is blue because since 5/8 is red there is only 3/8 left of the figure so it has to be 3/8 blue

Step-by-step explanation: TYYYYYYY

Answer:

slope is -5

Step-by-step explanation:

The formula for slope is:

m = (y2 - y1)/(x2 - x1)

m = slope

y2 = y-coordinate of second point

y1 = y-coordinate of first point

x2 = x-coordinate of second point

x1 = x-coordinate of first point

We can choose our first and second points as any points on the table, but we will choose the first andd second points which are (-5,10) and (-3,0).

y2 = 0

y1 = 10

x2 = -3

x1 = -5

m = (0-10)/(-3-(-5))

m = (-10)/(-3+5)

m = (-10)/(2)

m = -5

According to the question,

The ratio of almond flour to coconut flour is 7:38

so,

the volume of the almond flour used in a day ,in terms of cups would be

[tex] \rightarrow \frac{180 \times 7 }{7 + 38} \\ [/tex]

[tex] \rightarrow \frac{1,260 }{45} \\ [/tex]

[tex] \rightarrow28[/tex]

hence ,28 cups of almond flour would be required to meet the need to prepare the mixture for a day.

______________________________________

volume of coconut flour required in a day ,in terms of no. of cups would be

[tex] \rightarrow \frac{180 \times 38 }{7 + 38} \\ [/tex]

[tex] \rightarrow \frac{6,840 }{45} \\ [/tex]

[tex] \rightarrow152[/tex]

hence ,152 cups of coconut flour are required to make the mixture.

_______________________________________

Given that,

The ratio of almond flour to coconut flour is 7:38

7:38 = 28:152

7:38 = 7 :38

LHS = RHS

hence , verified ✓

Let almond be 7x and coconut be 38x

ATQ

Total almond cupls=4(7)=28cups