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2 years ago

Which is bigger: 7/48 or 9/20?

Mathematics

2 answers:

Romashka-Z-Leto [24]2 years ago

8 0

7/48 is the bigger one

LenaWriter [7]2 years ago

7 0

9/20 is bigger because if you put them in decimal form you get 7/48 = 0.145833333 and you would round that to the nearest hundredths place which would give you 0.15 and for 9/20 = 0.45.

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Step-by-step explanation:

cause 2 divided by 30is 15 minus 10 its 5

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3 years ago

Solve the logarithmic equation. Round to the nearest ten-thousandth if necessary. 3 log 2x = 4

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3 years ago

3. Two cars are parked, 150m apart, and on opposite sides of a building. A camera on the top of the building rotates and can vie

allsm [11]

Answer:

<em>The building is 61.5 m tall</em>

Step-by-step explanation:

The image below is a diagram where all the given distances and angles are shown. We have additionally added some variables:

h = height of the building

a, b = internal angles of each triangle

x = base of each triangle

The angles a and b can be easily found by subtracting the given angles from 90° since they are complementary angles, thus:

a = 90° - 37° = 53°

b = 90° - 42° = 48°

Now we apply the tangent ratio on both triangles separately:

$\displaystyle \tan a=\frac{\text{opposite leg}}{\text{adjacent leg}}$

$\displaystyle \tan 53^\circ=\frac{150-x}{h}$

$\displaystyle \tan 48^\circ=\frac{x}{h}$

From the last equation:

$x=h.\tan 48^\circ$

Substituting into the first equation:

$\displaystyle \tan 53^\circ=\frac{150-h.\tan 48^\circ}{h}$

Operating on the right side:

$\displaystyle \tan 53^\circ=\frac{150}{h}-\tan 48^\circ$

Rearranging:

$\displaystyle \tan 53^\circ+\tan 48^\circ=\frac{150}{h}$

Solving for h:

$\displaystyle h=\frac{150}{\tan 53^\circ+\tan 48^\circ}$

Calculating:

h = 61.5 m

The building is 61.5 m tall

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3 years ago