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pentagon [3]
3 years ago
15

What is the value of log 27 9 ? - 3/2 -2/3 2/3 3/2

Mathematics
1 answer:
iren2701 [21]3 years ago
8 0

Answer:

3/2

this is the answer

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Line segment ON is perpendicular to line segment ML. What is the length of segment NP?
boyakko [2]

Answer:

2 units.

Step-by-step explanation:

In this question we use the Pythagorean theorem which is shown below:

Given that

The right triangle OMP

The hypotenuse i.e OM is the circle radius =5 units.

The segment MP = 4 units length

Therefore

OP^2 + MP^2 = OM^2

OP^2 + 4^2 = 5^2

OP^2 + 16 = 25

So OP is 3

Now as we can see that ON is also circle radius so it would be 5 units

And,

ON = OP + PN

So,

PN is

= ON - OP

= 5 units - 3 units

= 2 units

7 0
2 years ago
Mrs. Smith has $20,000 to invest. She wants to earn $10,000 in interest. She is considering a savingsand loans bank that is offe
disa [49]

Answer:

Number of year to get $10,000 as interest = 7.5 year (Approx)

Step-by-step explanation:

Given:

Initial investment = $20,000

Interest on investment = $10,000

Rate of interest = 5.6% = 0.056

Find:

Number of year to get $10,000 as interest:

Computation:

Interest\ on\ investment = Initial\ investment[(1+r)^n-1]\\\\10,000 = 20,000[(1+0.056)-1]\\\\0.5=(1.056)^n-1\\\\1.5 =(1.056)^n\\\\n=7.44

Number of year to get $10,000 as interest = 7.44

Number of year to get $10,000 as interest = 7.5 year (Approx)

7 0
2 years ago
Find the midpoint of the line segment joining the points ​R(​-4,3​) and ​S(​5,6​)
N76 [4]

Answer:

MP=(0.5,4.5)

Step-by-step explanation:

USE THIS FORMULA:

M=(x1+x2/2,y1+y2/2)

5 0
2 years ago
A line that passes through the origin also passes through the point (6,2). What is the slope of the line?
vagabundo [1.1K]

Answer:

slope=1/3

Step-by-step explanation:

y=mx+b

2=m*6+0

m=1/3

7 0
3 years ago
Without graphing classify each system as independent dependent or inconsistent -x -y=7<br> 5x-5y=5
jek_recluse [69]

Answer:

Is a consistent independent system

Step-by-step explanation:

we have

-x-y=7 -----> isolate the variable y

y=-x-7 ----> equation A

5x-5y=5 -----> isolate the variable y

y=x-5 ---> equation B

Compare equation A and equation B

We can affirm that

The slopes are not equal ( so the lines are not parallel)

The lines are different

The product of their slopes is equal to -1 (the lines are perpendicular)

so

The system of equations has only one solution

therefore

Is a consistent independent system

5 0
2 years ago
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