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The circumference of the circle is approximately 95.84 cm.

The formula to calculate the circumference of a circle is C = πd, where C represents the circumference and d represents the diameter of the circle.

However, in this case, only the radius (half the diameter) is given. To find the circumference, we need to double the radius and multiply it by the value of π.

Given that the radius is 30.5 cm, we can calculate the circumference as follows:

C = 2πr

C = 2 * 3.14 * 30.5

C ≈ 191.08 cm

Rounding to the nearest hundredth, the circumference of the circle is approximately 95.84 cm.

The circumference of a circle is the total distance around its outer edge. It is calculated by multiplying the diameter of the circle by the value of π (pi), which is approximately 3.14.

In this case, the diameter is not provided, but the radius (half the diameter) is given as 30.5 cm.

To find the circumference, we double the radius (2 * 30.5 = 61) and multiply it by π (61 * 3.14 = 191.54).

Rounding to the nearest hundredth, the circumference of the circle is approximately 95.84 cm.

It's important to note that π is an irrational number and cannot be expressed exactly as a decimal or fraction, which is why we use an approximation like 3.14 in calculations involving circles.

for such more questions on circumference

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a. 2020-2010=10 185000-150000=350000 35000:10=3500 (population growth per year) 3500:365=9 (growth per day) 9:24=0.375(growth per hour)

b. 2020-2010=10 185000-150000=350000 35000:10=3500 250000-185000=65000 65000:3500=18 2020+18= 2038

Answer:

2.5

Step-by-step explanation:

35/14 = 2.5

25/10 = 2.5

15/6 = 2.5

divide the bigger over the newer one over the older one to get your scale factor

Answer:

you can it's too easy but I haven't any time so I can't solve this

Answer:

1655

Step-by-step explanation:

add 100+15 together then add that answer with 1540

Answer:

9,600

Step-by-step explanation:

100+.15x=1540

.15x=100-1540

.15x=1440

X=9,600

Answer:

Heyy, you'd have too answer this in using base numerals. Which would just be 11 thousand blocks( you would use thousand place blocks to be specific) . Then 2 " 100 " blocks. And 12 ones blocks n theirs ur answer! Hopefully I helped you out. Have an amazing day

Step-by-step explanation:

Answer: 11,212

Step-by-step explanation:

base-ten numerals: 11,000 + 200 + 12+ = 11,212

number in expanded form:  11,212 =

+  10,000  

+ 1,000  

+ 200  

+ 10  

+ 2  

By solving a system of equations, we will see that the values of n and m are 3 and -4.

We need to get two values n and m such that:

n*m = -12

n + m = -1

So this is a system of equations, to solve it, we first need to isolate one of the variables in one of the equations. I will isolate n on the second equation:

n = -1 - m

Then, replacing that on the other equation we get:

(-1 - m)*m = -12

-m - m^2 = -12

-m^2 - m + 12 = 0

This is a quadratic equation, the solutions are given by Bhaskara's formula:

[tex]m = \frac{-(-1) \pm \sqrt{(-1)^2 - 4*(-1)*12} }{2*-1} \\\\m = \frac{1 \pm 7}{-2}[/tex]

Now, let's take the first solution for m:

m = (1 + 7)/-2 = -4

Then the value of n is the other solution, (or we can use the equation for n that we found above):

n = -1 - m = --1 - (-4) = 3

Then the two numbers are 3 and -4, meaning that the correct option is the first one.

If you want to learn more about systems of equations, you can read:

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Answer:

there must be some errors in the qn

Answer:

[tex]x=10,\:x=6[/tex]

Step-by-step explanation:

[tex]\sqrt{4x-24}=x-6[/tex]

[tex]4x-24=x^2-12x+36[/tex]

[tex]x=10,\:x=6[/tex]

[tex]\mathrm{The\:solutions\:are}[/tex]

[tex]x=10,\:x=6[/tex]

Answer: See attached table

Step-by-step explanation:

[tex]\begin{table}[]\begin{tabular}{lllll} & & & & \\ & & & & \\ & & & & \\ & & & & \end{tabular}\end{table}[/tex]+---+---+---+

| 1 | 8 | 2 |

+---+---+---+

| 6 | 4 | 2 |

+---+---+---+

| 5 | 0 | 7 |

+---+---+---+

Proofs:
First row: 1+6+5 = 12

Second row: 8+4+0 = 12

Third row: 2+2+7 = 12

First column: 1+8+2 = 12

Second column: 6+4+2 = 12

Third column: 5+0+7 = 12

Diagonal starting from top left to bottom right: 1+4+7 = 12

Diagonal staring from top right to bottom left: 2+4+5 = 12

Answer:

the answer is

[tex]24 \sqrt{2} [/tex]

Answer:

c, a, a, c, a

Step-by-step explanation:

let me know if you want me to explain everyone, but I think you're more looking for the answer, so here they are(with short explanations)

11.c, 100. Vertical angles are congruent.

12.a, 70. Supplementary=180*. We know that B=110(from drawing). 110+70=180

13.a, 70. We know that a is 70 from question 12. vertical angles are congruent, so c=70

14.c, 90. from the attached image, we see that 12 and 3 makes 90* angle.

15.a, AY. Both have the letters AY in their names.

let me know if im correct!

Answer:

In the photo is show how the graph should look

Answer:

One fifth is like  you saying one fifth of something, so if you have 3 fifths of something it's just 3 times more than one fifth.  so like 1/5 is 20% so 3/5 is 3 times more which is 60%

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

1/5 of 10 is 2,

so if you have 3/5, it is the same as 1/5 3 times.

1/5 of 10 is 2, so for 3/5 of 10 you multiply 2 by 3.

1/5 of 10 = 2

2/5 of 10 = 4

3/5 of 10 = 6

4/5 of 10 = 8

5/5 of 10 = 10

Answer:

Solution

Domain= -3,3,1,2

Range = 2,2,0,4

Domain is Front of comma and Range us after comma

Step-by-step explanation:

Domain = {-3,3,1,2}

Range= {2,2,0,4}

okay so basically we see two rectangles right, so we can subtract the small from the big to leave the shaded region behind: so we take the area of the big rectangle first, (x+5)*4 and then we subtract the small area which is 2*2 so that we get an equation like this: (x+5)*4 - 4 --> 4x+20-4 --> 4x+16

Answer:

2, because 100,000 is said one hundred thousand which means 1 is in the hundred thousand place, and the same applies to this number meaning 2 is in that place.

Step-by-step explanation:

Answer:

2 is in the hundred-thousands place.

i)

ii)

iii)

iv)

With x = -12, Not applicable so x will be 10

Length → x + 5 → 10 + 5 → 15

Breath → x -3 → 10 - 3 → 7

Therefore,

Length : 15 cm

Breadth : 7 cm

Answer:

Given:

i) Length of rectangular shaped lamina = (x + 5) cm

ii) Breadth of rectangular shaped lamina = (x - 3) cm

ii) Area of a rectangle = length × breadth

⇒ area of rectangular shaped lamina = (x + 5)(x - 3) cm²

Given:

⇒ (x + 5)(x - 3) = 105

Expand:

⇒ x² - 3x + 5x - 15 = 105

Combine like terms:

⇒ x² + 2x - 15 = 105

Subtract 105 from both sides:

⇒ x² + 2x - 120 = 0

iv) Solve x² + 2x - 120 = 0

Rewrite:

⇒ x² + 12x - 10x - 120 = 0

Break into groups:

⇒ (x² + 12x) - (10x + 120) = 0

Factorize the parentheses:

⇒ x(x + 12) - 10(x + 12) = 0

Factor out common term:

⇒ (x - 10)(x + 12) = 0

Therefore,

x - 10 = 0  ⇒  x = 10

x + 12 = 0  ⇒  x = -12

As length is positive, x = 10 only

Therefore,

Length of rectangular shaped lamina = 15 cm

Breadth of rectangular shaped lamina = 7 cm

Answer:

-√2

Step-by-step explanation:

f(x) = sinx + cosx

f'(x) = cosx - sinx

f''(x) = -sinx - cosx

f''(pi/4) = -sin(pi/4) - cos(pi/4) = -√2

Answer:

x = 7

y = 2

--

x = 7

y = −x + 9

- Consider the second equation. Insert the known values of variables into the equation.

y = −7 + 9

Add −7 and 9 to get 2.

y = 2

The system is now solved.

x = 7

y = 2      ( 7,2 )

Answer:

False

Step-by-step explanation:

3x9=27

3x9=2712+13=25

3x9=2712+13=2527=25

3x9=2712+13=2527=25These 2 numbers don't match.

Hence, the equation is false.

Answer:

Every number to the right of 5 is greater on a number line

Step-by-step explanation:

The time Ann finished playing in the backyard is 12 : 15 pm

Total time = 9:38 + 41 minutes + 1 hour 56 minutes

= 10:19 + 1 hour 56 minutes

= 12 : 15 pm

Therefore, the time Ann finished playing in the backyard is 12 : 15 pm

Learn more about time:

https://brainly.com/question/4931057

Answer:

dy/dt = -3/2

Step-by-step explanation:

x² + y² = 25

2x dx/dt + 2y dy/dt = 0

x dx/dt + y dy/dt = 0

3 * 2 + 4 dy/dt = 0

so

dy/dt = -6/4 = -3/2

Answer:

Step-by-step explanation:

3y - 2x +2 = 0

3y = 2x - 2

[tex]y = \dfrac{2}{3}x-\dfrac{2}{3}[/tex]

y = mx + b

Slope of line a = 2/3

Product of slope of perpendicular line = -1

[tex]Slope \ of \ line \ b = \dfrac{-1}{\dfrac{2}{3}}=\dfrac{-3}{2}[/tex]

Equation of line b:

[tex]y=\dfrac{-3}{2}x+b[/tex]

Line b passes through (4,7)

[tex]7 = \dfrac{-3}{2}*4+b\\\\\\7= -6 + b\\\\b = 7 + 6\\\\b = 13[/tex]

Equation of line b:

[tex]y=\dfrac{-3}{2}x+13[/tex]

Multiply the  equation by 2

2y = -3x + 26

3x + 2y - 26 = 0

Answer:

  301

Step-by-step explanation:

Assuming the proportion holds over longer distances, the ratios can be written ...

  peas/beans = p/133 = 43/19

  p = 133(43/19) = 301

301 peas are equal to 133 beans.