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Basile [38]
2 years ago
14

The average human fingernail grows at a rate of 3.47 millimeters per month. One millimeters = 0.1 centimeters. How much in centi

meter, would the average human fingernail grown in one year?
Mathematics
1 answer:
Dimas [21]2 years ago
4 0

Answer:

4.164 cm

Step-by-step explanation:

Given that:

Growth of an average human fingernail = 3.47 mm per month

One mm (millimeter) = 0.1 cm (centimeter)

To find:

Growth of an average human fingernail in one year = ?

Solution:

Here, we are given the growth for one month.

There are 12 months in an year, so growth over an year can be found by adding the growth of one month for 12 times.

Growth in one year = 3.47 mm + 3.47 mm+ ..... 12 times

Growth in one year = 12 \times 3.47 mm = 41.64 mm

In millimeters, the growth of an average human fingernail = 41.64 mm

Let us convert it into centimeters by multiplying it with 0.1.

Therefore growth in centimeters = 41.64 mm \times 0.1  = <em>4.164 cm</em>

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This is a polygon. I can’t find the missing angle ?
siniylev [52]
This is a lot of calculation.

So we know that the sum of angles for any heptagon is 900, because heptagon can be divided into five non-overlapping triangles and sum of angles of each triangle is 180.

Now you just add up all angles and simplify the equation:

900 = (6x - 8) + 120 + (7x - 64) + (5x - 4) + 135 + (3x + 31) + (4x + 15)

900 = <span>25x + 225

Now it's just regular algebra equation. You can solve for x:

675 = 25x

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3 0
3 years ago
4 drivers/ 30 square miles is they want to offer service to country of 75 square miles, how many must they have
dmitriy555 [2]
By proportion:-

4 / 30 = x / 75  where x is number needed for  the '75' country

30x = 300

x = 10


They need 10 drivers.
3 0
3 years ago
parallelogram PQRS has PQ=RS=8 cm and diagonal QS= 10 cm. point F is on RS exactly 5 cm from S. let T be the intersection of PF
Doss [256]

<u>Solution-</u>

Given that,

In the parallelogram PQRS has PQ=RS=8 cm and diagonal QS= 10 cm.

Then considering ΔPQT and ΔSTF,

1-    ∠FTS ≅ ∠PTQ            ( ∵ These two are vertical angles)

2-   ∠TFS ≅ ∠TPQ            ( ∵ These two are alternate interior angles)

3-   ∠TSF ≅ ∠TQP            ( ∵ These two are also alternate interior angles)

<em>If the corresponding angles of two triangles are congruent, then they are said to be similar and the corresponding sides are in proportion.</em>

∴ ΔFTS ∼ ΔPTQ, so corresponding side lengths are in proportion.

\Rightarrow \frac{PQ}{FS} =\frac{TQ}{TS} =\frac{TP}{TF}

As QS = TQ + TS = 10 (given)

If TS is x, then TQ will be 10-x. Then putting these values in the equation

\Rightarrow \frac{PQ}{FS} =\frac{TQ}{TS}

\Rightarrow \frac{8}{5} =\frac{10-x}{x}

\Rightarrow x=3.85

∴ So TS = 3.85 cm and TQ is 10-3.85 = 6.15 cm




5 0
3 years ago
Paige lives 3 miles east of her school. Diego lives 8 miles wes of the school. Which expression represents the distance, in mile
True [87]

Answer: |3-(-8)|


Step-by-step explanation:

Given: Paige lives 3 miles east of her school. Diego lives 8 miles west of the school.

From the picture , the number line represents the position of the houses of the two friends such that position of Paige is 3 but position of Diego is (-8) [since east and west are opposite directions]

We know that, Distance between any two points from A to B= B-A

Since distance is a positive quantity, thus

The distance between them = |3-(-8)| miles=11 miles


5 0
3 years ago
Read 2 more answers
Expanding logarithmic Expression In Exercise,Use the properties of logarithms to rewrite the expression as a sum,difference,or m
ch4aika [34]

Answer:

\ln x+\frac{1}{3}\ln (x^2+1)

Step-by-step explanation:

Consider the given expression is

\ln (x\sqrt[3]{x^2+1})

We need to rewrite the expression as a sum,difference,or multiple of logarithms.

\ln (x(x^2+1)^{\frac{1}{3}})        [\because \sqrt[n]{x}=x^{\frac{1}{n}}]

Using the properties of logarithm we get

\ln x+\ln (x^2+1)^{\frac{1}{3}}         [\because \ln (ab)=\ln a+\ln b]

\ln x+\frac{1}{3}\ln (x^2+1)        [\because \ln (a^b)=b\ln a]

Therefore, the simplified form of the given expression is \ln x+\frac{1}{3}\ln (x^2+1).

6 0
3 years ago
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