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Lera25 [3.4K]
2 years ago
12

Which measure is the largest? 1.2 km, 120,600 cm, 1,220,000 mm, 120 meters

Mathematics
1 answer:
aalyn [17]2 years ago
4 0
The answer would be 1,220,000mm.

You can do this if you convert all the measures into one unit. Let us convert all into km. 

The first one is already in km, so we do not need to covert it. 

Let's start with converting 1,220,000mm to km. 


There are 1, 000,000 mm in one km. 

1,220,000X \frac{1km}{1,000,000mm} = 1.22km

So there are 1.22km 
in 1,220,000mm.

Next, we have 120m. There are 1,000m in 1km.

120mX \frac{1km}{1,000} =0.12km

There are 0.12km in 120m

Now you can see that 1,220,000mm is the longest. 


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Group of baseball fans can see home plate from a 40 meter tall building outside the stadium. The angle of vision has a tangent o
dimulka [17.4K]

Answer:

17.78 meters

Step-by-step explanation:

Let

x ----> the horizontal distance, in meters, to home plate

\theta ----> the angle of vision

we know that

tan(\theta)=\frac{40}{x} ----> by TOA (opposite side divided by the adjacent side)

we have

tan(\theta)=\frac{9}{4}

substitute

\frac{9}{4}=\frac{40}{x}

solve for x

x=40(4)/9\\x=17.78\ m

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What is the value of x? Enter your answer as a decimal to the nearest tenth in the box.
gogolik [260]

ANSWER

23.6 feet

EXPLANATION

The given triangle is a right triangle.

The hypotenuse is 27 ft.

The given angle I s 29°

The unknown side x, is adjacent to the given angle.

We use the cosine ratio to get,

\cos(29 \degree)  =  \frac{adjacent}{hypotenuse}

\cos(29 \degree)  =  \frac{x}{27}

We multiply both sides by 27 to get;

x = 27\cos(29 \degree)

x = 23.6ft

to the nearest tenth.

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The potential energy, P, in a spring is represented using the formula P = kx2. Lupe uses an equivalent equation, which is solved
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Original equation is P=kx^{2}

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