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gregori [183]
3 years ago
10

Simplify 8/9 over 20. 8/9/20 ​

Mathematics
1 answer:
Reil [10]3 years ago
6 0

2 over 45

Step-by-step explanation:

i divide 8over9 by 20

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1. Two segments from P are tangent to circle o. If angle P = 60 and the radius of circle o is
GaryK [48]

Answer:

20.7 ft each

Step-by-step explanation:

See the diagram attached below which describes and represents the information given to us.

The tangents are PA and PB.

Tangents form right angle with the radius of a circle, therefore:

<OBP = <OAP = 90°

Therefore ∆OBP is a right triangle.

m<APO = m<BPO = ½(60) = 30°

Thus, in ∆OBP,

Reference angle = 30°

Side length opposite to reference angle = 12 ft

Adjacent length = length of tangent PB

Apply trigonometric function TOA, to find PB:

Tan 30 = Opp/Adj

Tan 30 = 12/PB

PB × Tan 30 = 12

PB = 12/Tan 30

PB = 20.7846097 ≈ 20.7 ft (nearest tenth)

Length of each segment = 20.7 ft

3 0
3 years ago
Nick and Darius are playing a number line game in math class. Nick says, "If you multiply my number by itself, you get 64."
IceJOKER [234]

Answer:

8

Step-by-step explanation:

8multiple by 8 is 64. to find an answer we will do the 8×8=64

3 0
3 years ago
Write the linear equation of the line that passes through the points (4,-5) and (-6,5)
mixas84 [53]

Answer:

y = -x -1

<em><u>Brainliest, please!</u></em>

Step-by-step explanation:

(4, -5)(-6, 5)

y = mx + b

m = slope, b = y-intercept

m = 10/-10

m = -1

y = -1x + b

We can plug in (4, -5):

-5 = -1(4) + b

-5 = -4 + b

b = -1

y = -x - 1

3 0
3 years ago
A given field mouse population satisfies the differential equation dp/dt=.4p-450 where p is the number of mice and t is the time
Flura [38]

Answer:

a) 7.78 months

b) 1116

Step-by-step explanation:

Given -

\frac{dP}{dt} = 0.4p-450

Integrating the above equation with respect to time, we get -

\int\ \frac{dP}{0.4p-450} = \int\ dt\\

let us define new variable x

x = 0.4p - 450 \\dx = 0.4 dy

substituting these values in above integral equation, we get -

\frac{1}{0.4} \int\ \frac{dx}{x} = \int\ dt\\ln x = 0.4 t + C\\x = ce^{0.4t}

P (t) = \frac{C}{0.4} e^{0.4t}  +1125\\

at t = 0, P (0) = 1075, using this condition, we get -

\frac{c}{0.4} = -50\\P(t) = 50 e^{0.4t} +1125 \\t = 7.78\\P(0) = 1125 - \frac{1125}{e^{4.8}} = 1116

7 0
3 years ago
I need to know if this equation would be true or false​
Sati [7]

Answer:

False

Step-by-step explanation:

85 + (-10) is the same as 85 - 10. 85 - 10 is 75, not 95.

5 0
4 years ago
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