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Damm [24]
2 years ago
3

Kiyo and Steven are tiling the floors in an

Mathematics
1 answer:
inessss [21]2 years ago
3 0

The complete question is given below.

Question:

Kiyo and Steven are tiling the floors in an office building. Kiyo tiled \frac{3}{6} of the floor in  one office, and Steven tiled \frac{5}{12} of the floor  in another office.  Write to explain how to use a benchmark  fraction to determine who tiled a greater  portion of a floor.

Answer:

Kiyo tiled a greater portion of a floor

Solution:

Kiyo tiled in one office = \frac{3}{6}

Steven tiled in another office = \frac{5}{12}

Bench mark fraction means comparing fractions with common fraction or number. Most probably we use \frac{1}{2} as the common fraction.

<u>Compare </u>\frac{3}{6}<u> and </u>\frac{5}{12}<u> using </u>\frac{1}{2}<u>:</u>

\frac{3}{6} is equal to the fraction \frac{1}{2}.

$\frac{3}{6}=\frac{1}{2}

$\frac{5}{12}

$\Rightarrow\frac{5}{12}

Steven tiled the floor < Kiyo tiled the floor.

Hence Kiyo tiled a greater portion of a floor.

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Answer: B)  3b+b

C)   2(2b)

Step-by-step explanation:

\text{ A) }b+2(b+2b) = b+ 2(3b) = b + 6b = 7b

\text{ B) }3b+b = (3+1)b = 4b

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Thus, Option B and C is giving the result 4b,

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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.    

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Answer:

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Step-by-step explanation:

196/4= 69

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A cell phone company charges a $15 activation fee, and then $30 per month. If Ian has the plan for 24 months, what is his total
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All the given arcs cover the entire circle circumference, so their measures add up to a full 360.

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