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4 years ago

A number to the 9th power divided by the same number to the 6th power equals 512. What is the

1 answer:

5 0

The answer is 5

explanation:
Let's call our number
a
. The statement written as a formula is
a
12
a
9
=
125
We can simplify the fraction, and we have
a
3
=
125
To solve for
a
, take the third root of both sides:
a
=
(
125
)
1
3
=
5

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(1 pt) What is the measure of ∠Z? A. 57° B. 65° C. 94° D. 115°

Anestetic [448]

Hi it is 57 is a becase use a protractor

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4 years ago

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Solve the equation and check the solution.

777dan777 [17]

Answer:

a = 4

Step-by-step explanation:

Here, we want to write and solve the given equation

a - 2.5 = 1.5

a = 2.5 + 1.5

a = 4

To check, we simply substitute a = 4

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3 years ago

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HELP ME <br> solve for the right triangle

VikaD [51]

Answer:

see explanation

Step-by-step explanation:

Using the cosine and tangent ratios in the right triangle

cos41° = $\frac{adjacent}{hypotenuse}$ = $\frac{VW}{VX}$ = $\frac{7}{VX}$

Multiply both sides by VX

VX × cos41° = 7 ( divide both sides by cos41° )

VX = $\frac{7}{cos41}$ ≈ 9.3

-----------------------------------------------------------------------

tan41° = $\frac{opposite}{adjacent}$ = $\frac{WX}{VW}$ = $\frac{WX}{7}$

Multiply both sides by 7

7 × tan41° = WX, thus

WX ≈ 6.1

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The sum of the 3 angles in a triangle = 180°

Subtract the sum of the given angles from 180° for ∠ X

∠ X = 180° - (90 + 41)° = 180° - 131° = 49°

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3 years ago

Find the radii of the two circles. (PLS HELP ASAP)

gogolik [260]

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3 years ago

At the scene of a crime, the police have found a blood stain, a footprint, and some threads from a fabric. All are presumed to h

zubka84 [21]

Answer:

There is a 0.175% chance of finding such a person who has all three characteristics.

Out of 4,000 people, 7 people would likely to match all three characteristics.

Step-by-step explanation:

A crime has been committed and after analyzing the evidence, police has found out that:

The criminal's blood type is a type found in only 10% of the population.
The criminal's footprint is a size 13 men's shoe and only 7% of the population wears such shoe size.
Only 25% of the population owns clothing made from a fabric that matches the thread samples found at the scene.

We required to find out the probability of selecting a random person who would match all of these characteristics.

Since it is given that the three characteristics are independent of each other then the required probability is

P(all 3 characteristics) = P(1st characteristic)*P(2nd characteristic)*P(3rd characteristic)

P(all 3 characteristics) = (10/100)*(7/100)*(25/100)

P(all 3 characteristics) = 1750/1,000,000

P(all 3 characteristics) = 7/4000

P(all 3 characteristics) = 0.00175

P(all 3 characteristics) = 0.175%

So out of 4,000 people, 7 people would likely to match all three characteristics.

There is a 0.175% chance of finding such a person who has all three characteristics

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3 years ago