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skad [1K]
3 years ago
14

Express the fraction 1/8^3 using a negative exponent

Mathematics
1 answer:
katrin2010 [14]3 years ago
3 0

Answer:

8^{-3}

Step-by-step explanation:

To get it to become a negative, we need to flip it to become a reciprocal so it becomes 8^-3.

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Help! Thanks!!!!!!!!!
san4es73 [151]

1)

∠BAC = ∠NAC - ∠NAB = 144 - 68 = 76⁰

AB = 370 m

AC = 510 m

To find BC we can use cosine law.

a² = b² + c² -2bc*cos A

|BC|² = |AC|²+|AB|² - 2|AC|*|AB|*cos(∠BAC)

|BC|² = 510²+370² - 2*510*370*cos(∠76⁰) =

|BC| ≈ 553 m


2)

To find ∠ACB, we are going to use law of sine.

sin(∠BAC)/|BC| = sin(∠ACB)/|AB|

sin(76⁰)/553 m = sin(∠ACB)/370 m

sin(∠ACB)=(370*sin(76⁰))/553 =0.6492

∠ACB = 40.48⁰≈ 40⁰


3)

∠BAC = 76⁰

∠ACB = 40⁰

∠CBA = 180-(76+40) = 64⁰


Bearing C from B =360⁰- 64⁰-(180-68) = 184⁰


4)

Shortest distance from A to BC is height (h) from A to BC.


We know that area of the triangle

A= (1/2)|AB|*|AC|* sin(∠BAC) =(1/2)*370*510*sin(76⁰).

Also, area the same triangle

A= (1/2)|BC|*h = (1/2)*553*h.


So, we can write

(1/2)*370*510*sin(76⁰) =(1/2)*553*h

370*510*sin(76⁰) =553*h

h= 370*510*sin(76⁰) / 553= 331 m

h=331 m


4 0
3 years ago
Look at all the measurements in model 4. when a number in scientific notation is changed to expanded notation, are any of the ad
zheka24 [161]
Yes, the added zeros are significant. Lets say you are converting 1.23 x 10 to the power of 4. The answer would be 12,300 in which case, if you took away the zeros, the number would be 123, which is an incorrect answer.

Hope this makes sense and helps!
4 0
3 years ago
Read 2 more answers
Plz help ill give 15 points
yan [13]

Answer:

b

Step-by-step explanation:

5 0
2 years ago
HELP ME PLEASE !!!!!!
Lunna [17]

Answer:

A

Step-by-step explanation:

The answer is (a) because that value is the y intercept meaning that it will be the value for price at the beginning of the time frame... in this case in January 2013 which is the beginning of the year.

Hope you find this helpful.

6 0
3 years ago
What is the Range of this data
musickatia [10]
The range of this data is 65 since the minimum is 20 and the maximum is 85(if its counting by 5s) then you just subtract and you have the range.
8 0
2 years ago
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