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MatroZZZ [7]
3 years ago
7

The combination lock has three wheels, each numbered from 0 to 9. What is the probability that someone randomly guesses the corr

ect combination in one attempt?
Mathematics
1 answer:
Bas_tet [7]3 years ago
8 0
1 in 729 attempts
9x9x9
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A circle with area \blue{25\pi}25πstart color #6495ed, 25, pi, end color #6495ed has a sector with a central angle of \purple{\d
vredina [299]

Answer:

Step-by-step explanation:

Given that

The area of circle is 25π square unit

Area = 25π square unit

The area of a circle can be calculated using

Area = πr²

Where r is radius of the circle

Then, let find the radius of the circle

Area = πr²

25π = πr²

Divided Both side by π

25π / π = πr² / π

25 = r²

Take square root of both sides

√25 = √r²

5 = r

Then, the radius of the circle is 5 unit

Then, given that the angle subtended by the sector is 9π/10 rad

θ = 9π/10 rad

Then, we want to find the area of the sector

Area of a sector is calculated using

Area of sector = (θ / 360) × πr²

Area of sector = θ × πr² / 360

The formula is in degree let convert to radian

360° = 2π rad.

Then,

Area of sector = θ × πr² / 2π rad

Then,

Area of sector = θ × r² / 2

Area of sector = ½ θ•r²

Then, Area of the sector is

A = ½ θ•r²

A = ½ × (9π / 10) × 5²

A = (9π × 5²) / (2 × 10)

A = 225π / 20

A = 45π / 4

A = 11.25π Square unit

A = 35.34 square unit

3 0
3 years ago
A parcel of land is in the shape of a rectangle with length L(in feet). sixty-five percent of the length is waterfront and 70 fe
OlgaM077 [116]
The length of the land = the length of the waterfront + the length of dry land

The length of the land = L
The length of the waterfront = 0.65L
The length of the dry land = 70 feet

L = 0.65L + 70
L - 0.65L = 70
0.35L = 70
L = 70 ÷ 0.35
L = 200 feet
8 0
3 years ago
If f(x)=2x-1, find f(a+h)<br> A.) a+h-1<br> B.) 2a+h-1<br> C.) 2a+2h-2<br> D.) 2a+2h-1
nadezda [96]
Since f(x) = 2x - 1, all you need is to replace x with (a+h)

So f(a+h) = 2(a+h) - 1 = 2a + 2h - 1

Answer is D
6 0
3 years ago
Can the distributive property be used to rewrite
Harman [31]

Answer:

I think No

Step-by-step explanation:

6 0
3 years ago
The graphs below have the same shape the equation of the red graph is f(x) =x^2. What is the equation of the blue graph?
daser333 [38]

Answer:

G(x)=(x-6)^2

which agrees with the answer D of your options

Step-by-step explanation:

Notice that the graph of G(x) has the initial graph shifted horizontally to the right in 6 units, therefore such horizontal shift is accomplished by subtracting the 6 units from the x-variable in the original expression:

G(x)=(x-6)^2

3 0
3 years ago
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