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Phoenix [80]
2 years ago
12

How are the decimals 0.009 and 0.09 related?

Mathematics
2 answers:
Valentin [98]2 years ago
7 0
0.09 is 10 times 0.009 because if u multiply and number by 10 the decimal point would go to the right
Hope this help!
Alexxx [7]2 years ago
3 0

Answer:

0.09 is 10 times the 0.009

Step-by-step explanation:

We are given that two decimal numbers

0.009 and 0.09

We have to find the relation between 0.009 and 0.09

0.009 can  be written as=\frac{9}{1000}

0.09 can be written as =\frac{9}{100}

When we multiple 0.009 by 10 then we get 0.09

0.009 multiply by 10=0.009\times 10=0.09

Hence, the number 0.09 is 10 times the number 0.009.

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A home builder wants 5 5 acres of land split into 13 13 equal sections. Three of these expressions give the number of acres of l
stepladder [879]

Answer:

Check Explanation

Step-by-step explanation:

The options to be examined for the wrong one isn't presented, and it wasn't obtainable online, So, I'll exhaustively cover all the common possible answers!

5 acres of land. Acres is a unit of measurement that is most pecuilar to land. It is basically expressing the area of the land.

So, if 5 acres of land is to be divided into 13 sections with equal areas.

Each of the 13 land areas will have an area of (5/13) = 0.385 acre

1 acre = 4046.856 m²

5 acres = 20,234.28 m²

Each of the 13 land areas will have an area of (20234.28/13) = 1556.5 m²

1 acre = 43560 ft²

5 acres = 5 × 43560 = 217,800 ft²

Each of the 13 land areas will have an area of (217800/13) = 16,753.85 ft²

1 acre = 0.00156 square miles

5 acres = 5 × 0.00156 = 0.0078 square miles

Each of the 13 land areas will have an area of (0.0078/13) = 0.0006 square miles.

So, basically, whatever units one converts the area to, just divide the value by 13 and one obtains the area of each of the 13 portions of land that makes up the 5 acres.

Hope this Helps!!!

4 0
2 years ago
Read 2 more answers
Which product is positive?
Virty [35]

Answer:

(Negative two-fifths) (Negative StartFraction 8 over 9 EndFraction) (one-third) (StartFraction 2 over 7 EndFraction)

Step-by-step explanation:

(Negative two-fifths) (Negative StartFraction 8 over 9 EndFraction) (one-third) (StartFraction 2 over 7 EndFraction) = (-2/5)(-8/9)(1/3)(2/7)

Let's take the fraction and eliminate the negative sign because negative multiply negative= positive

(-2/5)(-8/9)(1/3)(2/7)= 32/945

4 0
2 years ago
Read 2 more answers
Line segment JL is an altitude in triangle JKM. Which statement explains whether JKM is a right triangle? Round measures to the
natulia [17]

Answer:

C. JKM is not a right triangle because KM ≠ 15.3.

Step-by-step explanation:

We can see from our diagram that triangle JKM is divided into right triangles JLM and JLK.  

In order to triangle JKM be a right triangle KM^{2}=JK^{2}+JM^{2}.

We will find length of side KM using our right triangles JLM and JLK as KM=KL+LM.  

Using Pythagorean theorem in triangle JLM we will get,

LM=\sqrt{JM^{2}-JL^{2}}

LM=\sqrt{8^{2}-5^{2}}

LM=\sqrt{64-25}

LM=\sqrt{39}=6.244997998\approx 6.24

Now let us find length of side KL.

KL=\sqrt{JK^{2}-JL^{2}}  

KL=\sqrt{13^{2}-5^{2}}

KL=\sqrt{169-25}

KL=\sqrt{144}=12

Now let us find length of KM by adding lengths of KL and LM.

KM=12+6.24=18.24

Now let us find whether JKM is right triangle or not using Pythagorean theorem.

KM^{2}=JK^{2}+JM^{2}  

18.24^{2}=13^{2}+8^{2}

18.24^{2}=169+64

18.24^{2}=233

Upon taking square root of both sides of equation we will get,

18.24\neq 15.264337522473748

18.2\neq 15.3  

We have seen that KM equals 18.2 and in order to JKM be a right triangle KM must be equal to 15.3, therefore, JKM is not a right triangle and option C is the correct choice.    

6 0
2 years ago
Read 2 more answers
When alice completes each level in her favorite video game she wins 3 extra lives and 6 gold coins
Nataly_w [17]
The answer is 24. because you multiply 8 and 6 <span />
5 0
2 years ago
Read 2 more answers
What is the volume of the pyramid?
s2008m [1.1K]

Answer:

16\sqrt{3} cm^{3}

Step-by-step explanation:

I think your question missed key information, allow me to add in and hope it will fit the orginal one. Please have a look at the attached photo,

<em>A solid oblique pyramid has an equilateral triangle as a base with an edge length of 4StartRoot 3 EndRoot cm and an area of 12StartRoot 3 EndRoot cm2. </em>

<em>What is the volume of the pyramid?</em>

My answer:

As we know, The volume of a pyramid = \frac{1}{3}base area × its height

Given:

  • Side lenght of the base is; 4\sqrt{3} cm

=> The area of the base is 12\sqrt{3} cm^{2}

  • In Δ ACB measure of angle ACB is 90° and m∠ CAB is 30°

We use: tan(30) = \frac{BC}{AC}

<=> BC = 4\sqrt{3}*tan(30)

= 4 cm

And BC is the height of the the pyramid

=> The volume of a pyramid = \frac{1}{3} 12\sqrt{3} cm^{2} * 4 cm

= 16\sqrt{3} cm^{3}

5 0
2 years ago
Read 2 more answers
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