The circumference of a circle is 64. What is the radius of the circle?

Answer:

4 : 11

Step-by-step explanation:

Given that:

Fraction of language students = 2/3

Number of students who study French :

2/5 of 2/3

2/5 * 2/3 = 4 /15

Those who do not study French :

Total fraction of entire student :

1 - 4/ 15

(15 - 4) / 15

11/15

Ratio of French to non-french

4/15 : 11/15

4/15 ÷ 11/15

4/15 * 15/ 11

4 / 11

4 : 11

Answer: C.)2,762.50

Step-by-step explanation:

The bank is paying a simple interest of 5.25%.

After 2 years, Grace's account will have:

Simple interest:

= Principal * ( 1 + rate * years)

= 2,500 * ( 1 + 5.25% * 2)

= $‭2,762.50‬

Answer:

30

Step-by-step explanation:

To find the answer you would need to do 2400 divided by 80 which = 30

Hope this helped :)

Answer:

32

Step-by-step explanation:

Answer:

a) A = kB

b) 20

c) 9

Step-by-step explanation:

A is directly proportional to B when A = 12, B = 3

a) find a formula for A in terms of B

A ∝ B

A = kB

Where k is constant of proportionality

when A = 12, B = 3

12 = 3k

k = 12/3

k = 4

b) find the value of A when B = 5

A = kB

k = 4

A = 4 × 5

A = 20

c) find the value of B when A = 36

k = 4

A = kB

B = A/k

B = 36/4

B = 9

Answer:

C = 23.5 in

Step-by-step explanation:

θ = 43°

The length of the side opposite to θ = 16 in.

Hypotenuse = DK

Apply trigonometric ratio, thus:

sin(θ) = opp/hyp

Plug in the values

sin 43 = 16/DK

Multiply both sides by DK

DK*sin 43 = 16

Divide both sides by sin 43

DK = 16/sin 43

DK = 23.5 (nearest tenth of an inch)

Answer:

[tex](2x - 1) + ({x}^{2} - 3x) \\ = {x}^{2} - 1x - 1 \\ [/tex]

Answer:

The answer is b

Step-by-step explanation:

Answer:

23 in

Step-by-step explanation:

We know the area of the circular disc is A = πr² where r = radius and π = 3.14.

So, r = √(A/π)

Now, if A = 1650 square inches,

r = √(A/π)

= √(1650 in²/π)

= √525.48 in²

= 22.92 in

≅ 22.9 in

Also, if A = 1700 square inches,

r = √(A/π)

= √(1700 in²/π)

= √541.40 in²

= 23.27 in

≅ 23.3 in

If the area is between 1650 in² and 1700 in², that is 1650 in² < A < 1700 in²

then, the radius is between 22.9 in < r < 23.3 in.

Since the left and right side of the inequality are approximately 23 in, the radius of the circular disc is 23 in.

The length of the radius of the circular disc is approximately is 23 in.

Hence, option A)23 in is the correct answer.

A circle is simply a closed 2-dimensional curved shape with no corners or edges.

The area of a circle is expressed mathematically as;

A = πr²

Where r is radius and π is constant pi ( π = 3.14 )

Now, if the area of the circular disc is 1650in², the radius r will be;

A = πr²

1650in² = 3.14 × r²

r² = 1650in² / 3.14

r² = 525.4777in²

r = √( 525.4777in² )

r = 22.9in

Also, if the area of the circular disc is 1700in², the radius r will be;

A = πr²

1700in² = 3.14 × r²

r² = 1700in² / 3.14

r² = 541.40127in²

r = √( 541.40127in² )

r = 23.3in

Next we take the average of the two radii

Radius = ( 22.9in + 23.3in )/2 = 46.2/2 = 23.1 ≈ 23 in

The length of the radius of the circular disc is approximately is 23 in.

Hence, option A)23 in is the correct answer.

Learn more about circles here: https://brainly.com/question/11952845

#SPJ5

Step-by-step explanation:

(5√5)^(1-2x) = 1/5 * 125^(x-3)

(5^1.5)^(1-2x) = 5^(-1) * 125^x / 125^3

5^1.5 / 5^3x = 5^(-1) * 5^(3x) / 5^9

5^1.5 / 5^3x = 5^(3x) * 5^(-10)

5^(1.5 - 3x) = 5^(3x - 10)

=> 1.5 - 3x = 3x - 10

=> 6x = 11.5

=> x = 23/12.

Answer:

...

against the wind, an airplane travels 3640 km in 7 hours.

with the wind, the same plane travels 6000 km in 6hrs.

...

let speed of plane in still air be x mph

speed of wind be y mph.

..

t=d/r

..

against wind speed = x-y mph

with wond speed = x=y mph

...

3640/(x-y)=7

3640 = 7x-7y

/7

520=x-y.....................1

...

6000/x+y = 6

6000 = 6x+6y

/6

1000=x+y.....................2

...

Add (1) & (2)

2x=1520

/2

x=760 mph speed of plane in still air

...

plug value of x in 2

1000=760+y

100-760=y

240 = y

240 mph speed of wind

Answer:  0.0514006682 and yes i looked it up bc nobody has time for that

Step-by-step explanation:

Answer:

0.051

Step-by-step explanation:

Hope this helps!

Answer:

i dont know what you need 35% as but..

Step-by-step explanation:

Decimal : 0.35

Fraction: 7/20

Answer:

−

6

−

1

0

Step-by-step explanation:

there you go!

Answer:

D. 25x-5

Step-by-step explanation:

you need to add all the sides of the square to get 16x-12 and then add 9x+7 to get D.

Answer:

see explanation

Step-by-step explanation:

Using the double angle identity for sine

sin2x = 2sinxcosx

Consider left side

cos20°cos40°cos80°

= [tex]\frac{1}{2sin20}[/tex] (2sin20°cos20°)cos40°cos80°

= [tex]\frac{1}{4sin20}[/tex] (2sin40°cos40°)cos80°

= [tex]\frac{1}{4sin20}[/tex] (sin80°cos80° )

= [tex]\frac{1}{8sin20}[/tex] (2sin80°cos80° )

= [tex]\frac{1}{8sin20}[/tex] . sin160°

= [tex]\frac{1}{8sin20}[/tex] . sin(180 - 20)°

= [tex]\frac{1}{8sin20}[/tex] . sin20°

= [tex]\frac{1}{8}[/tex] = right side , thus proven

Step-by-step explanation:

hope its helps you have a great day keep smiling be happy stay safe ☺

Answer: the first answer choice

Step-by-step explanation:

Answer:

i think its the bottom one but i dont know

Step-by-step explanation:

Answer:

A lot of sand :D

9514 1404 393

Answer:

  [tex]\left[\begin{array}{ccc}-1&-1&3\\1&-2&-2\end{array}\right][/tex]

Step-by-step explanation:

The 270° CCW rotation is described by the transformation ...

  (x, y) ⇒ (y, -x)

That is, the first row of the transformed coordinate matrix is the same as the second row of the input matrix. The second row of the output matrix is the opposite of the first row of the input matrix.

  [tex]\left[\begin{array}{ccc}-1&-1&3\\1&-2&-2\end{array}\right][/tex]

Answer:

28

Step-by-step explanation:

7 times 8 /2

56/2

28

if that was what you were supposed to do,,

Answer:

mr/t=28

Step-by-step explanation: If m=7, r=8 and t=2, then the equation is 7(8)/2. 7*8=56 and then 56/2=28.

Answer:

No, it does not.

Step-by-step explanation:

The question, does 3/7 and 12/21 make a proportion, does not. It does not make a proportion, because for 3 to equal 12, you must multiply by four. when you multiply 7 by 4, you get 28. that is not right. if this explanation is too confusing, i added a picture

Answer: x= 16

Step-by-step explanation:

Solve for x

√(5x + 1) − √x = 5

Add √x to both sides of the equation.

√(5x + 1)^2 = 5( + √x )^2

To remove the radical on the left side of the equation, square both sides of the equation.

√5x + 12 = (5 + √x)^2

Simplify each side of the equation.

5x + 1 = 25 + 10√x + x

Solve for 10√x.

10√x  = 4x − 24

To remove the radical on the left side of the equation, square both sides of the equation.

(10√x)^2 = (4x − 24)^2

Simplify each side of the equation.

100x  = 16x^2 − 192x + 576

Solve for x.

x = 9/4 , 16  

x = 16

Answer:

[tex]6h+26\ge \:80\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:h\ge \:9\:\\ \:\mathrm{Interval\:Notation:}&\:[9,\:\infty \:)\end{bmatrix}[/tex]

Please check the graph of a number line is also attached below.

Step-by-step explanation:

Given the inequality

[tex]6h+26\:\ge \:\:80[/tex]

solving inequality

[tex]6h+26\ge \:80[/tex]

subtract 26 from both sides

[tex]6h+26-26\ge \:80-26[/tex]

Simplify

[tex]6h\ge \:54[/tex]

Divide both sides by 6

[tex]\frac{6h}{6}\ge \frac{54}{6}[/tex]

Simplify

[tex]h\ge \:9[/tex]

Therefore,

[tex]6h+26\ge \:80\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:h\ge \:9\:\\ \:\mathrm{Interval\:Notation:}&\:[9,\:\infty \:)\end{bmatrix}[/tex]

Please check the graph of a number line is also attached below.

Answer:

x = -4

Step-by-step explanation:

-24 = 6x

________

Switch sides:

6x = -24

________

Divide both sides by 6:

6x/6 = -24/6

________

Simplify:

X = -4

Answer:x = -4

Step-by-step explanation:

Answer:

119

Step-by-step explanation: