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3 years ago

find the circumference of a circle that has an area of 452.16 square meters. (Use 3.1416 as the value of π.)

1 answer:

3 0

(1) circumference of a circle = 2π.R
(2) area of a circle = π.R²

Area = 452.16 m² (given), so we can calculate the radius:
452.16 = π.R²
452.16/π = R²

143.92 = R² → R =√143.92 ≈ 12 m
Having R = 12, now we can calculate the circumference :

circumference of a circle = 2π.R = 2.π.12 = 75.41 m

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At how many different times will the digit 7 appear on a digital clock in 24 hours?(show your work and explain your strategy bel

exis [7]

There are 24 hours in one day. when you count from 1-24, (1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24) the number 7 shows up twice

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3 years ago

The point P(1,1/2) lies on the curve y=x/(1+x). (a) If Q is the point (x,x/(1+x)), find the slope of the secant line PQ correct

lukranit [14]

Answer:

See explanation

Step-by-step explanation:

You are given the equation of the curve

$y=\dfrac{x}{1+x}$

Point $P\left(1,\dfrac{1}{2}\right)$ lies on the curve.

Point $Q\left(x,\dfrac{x}{1+x}\right)$ is an arbitrary point on the curve.

The slope of the secant line PQ is

$\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{\frac{x}{1+x}-\frac{1}{2}}{x-1}=\dfrac{\frac{2x-(1+x)}{2(x+1)}}{x-1}=\dfrac{\frac{2x-1-x}{2(x+1)}}{x-1}=\\ \\=\dfrac{\frac{x-1}{2(x+1)}}{x-1}=\dfrac{x-1}{2(x+1)}\cdot \dfrac{1}{x-1}=\dfrac{1}{2(x+1)}\ [\text{When}\ x\neq 1]$

1. If x=0.5, then the slope is

$\dfrac{1}{2(0.5+1)}=\dfrac{1}{3}\approx 0.3333$

2. If x=0.9, then the slope is

$\dfrac{1}{2(0.9+1)}=\dfrac{1}{3.8}\approx 0.2632$

3. If x=0.99, then the slope is

$\dfrac{1}{2(0.99+1)}=\dfrac{1}{3.98}\approx 0.2513$

4. If x=0.999, then the slope is

$\dfrac{1}{2(0.999+1)}=\dfrac{1}{3.998}\approx 0.2501$

5. If x=1.5, then the slope is

$\dfrac{1}{2(1.5+1)}=\dfrac{1}{5}\approx 0.2$

6. If x=1.1, then the slope is

$\dfrac{1}{2(1.1+1)}=\dfrac{1}{4.2}\approx 0.2381$

7. If x=1.01, then the slope is

$\dfrac{1}{2(1.01+1)}=\dfrac{1}{4.02}\approx 0.2488$

8. If x=1.001, then the slope is

$\dfrac{1}{2(1.001+1)}=\dfrac{1}{4.002}\approx 0.2499$

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3 years ago

Drag each interval to a box to show if the function shown is increasing, decreasing, or neither over that interval. 6 4 10 8 1 t

Kitty [74]

Answer:

Function (4 < x < 6) and (8 < x < 10) is decreasing

Function (1 < x < 4) and (6 < x < 8) is increasing

Function (10 < x < 14) is neither increasing nor decreasing

Step-by-step explanation:

The question is incomplete. The complete question has been added as an attachment.

From the graph:

x-axis (horizontal), y-axis (vertical)

Note: moving from negative bigger number to negative smaller number is an increase.

Moving from negative smaller number to negative bigger number is a decrease.

6 < x < 8: on the x-axis, from number +6 to +8, you find on the y-axis the line moved from -7 to -4. That is an increase.

4 < x < 6: on the x-axis, from number +4 to +6, you find on the y-axis the line moved from -3 to -7. That is a decrease.

10 < x < 14: on the x-axis, from number +10 to +14, you find on the y-axis the line moved from -5 to -5. It remained on the same number. It is neither increasing nor decreasing.

8 < x < 10: on the x-axis, from number +8 to +10, you find on the y-axis the line moved from -4 to -5. That is a decrease

1 < x < 4: on the x-axis, from number +1 to +4, you find on the y-axis the line moved from -11 to -3. That is an increase.

4 0

3 years ago

I will give brainiest

Tju [1.3M]

Answer:

(7,-2)

Step-by-step explanation:

G is currently at (2, 0)

(2+5, 0-2) becomes (7, -2)

6 0

3 years ago

Read 2 more answers

Mike has a total of 1371 coins in his piggy bank if the total value of his coins is $230.25 and make it only has dimes and quart

True [87]

Answer:129

Step-by-step explanation:(621 x 0.25) + (750 x 0.10) = 230.25

750 - 621 = 129 more dimes than quarters

3 0

3 years ago