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3 years ago

A lighthouse casts a 128-ft shadow. A nearby lamppost that measures 5

Mathematics

1 answer:

Yakvenalex [24]3 years ago

5 0

Answer:

80 ft

Step-by-step explanation:

Let the height of the light house be x feet.

$\therefore \: \frac{128}{8} = \frac{x}{5} \\ \\ x = \frac{128 \times 5}{8} \\ \\ x = \frac{640}{8} \\ \\ x = 80 \: feet$

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A dump truck brought 1⁄3 of a ton of rock on the first trip, 1⁄2 of a ton on the second trip, but on the third trip, had to take

Allisa [31]

Answer:

1/30 of a ton

Step-by-step explanation:

Write this as an expression:

1/3 of a ton and 1/2 of a ton were taken to the site.

4/5 of a ton were remove from the site.

Amount of a ton at the site = $\frac{1}{3}+ \frac{1}{2}- \frac{4}{5}$

Solve the equation by finding common denominators (when the bottom numbers are the same).

$(\frac{1}{3}+ \frac{1}{2})- \frac{4}{5}$ Focus on the first part. The least common multiple (LCM) of 3 and 2 is "6", which will become the denominator.

For 1/3 to become ?/6, multiply top and bottom by 2.

For 1/2 to become ?/6, multiply top and bottom by 3.

$(\frac{2}{6}+ \frac{3}{6})- \frac{4}{5}$

Now we can add the numerators together over the same denominator.

$\frac{5}{6}- \frac{4}{5}$

Do the same thing as before and change the denominators. The LCM of 6 and 5 is "30".

For 5/6 to become ?/30, multiply top and bottom by 5.

For 4/5 to become ?/30, multiply top and bottom by 6.

$\frac{25}{30}- \frac{24}{30}$

Subtract the numerators:

$\frac{1}{30}$ Answer in tons

Therefore there was 1/30 of a ton of rock left at the construction site.

7 0

3 years ago

Read 2 more answers

The circle below is centered at the point (4-3) and has a radius of length 3. (4 What is its equation?

Dovator [93]

Step-by-step explanation:

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3 years ago

Find the area of this circle. Use 3.14 for pi

aalyn [17]

The area of a circle is given by the formula:

A = $\pi$ r^2

Since $\pi$ = 3.14, and r = 6, sub these values into the equation,

A = 3.14 x 6^2
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Hope this helped!

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3 years ago

Please help fast The graph shows the function f(x)

DedPeter [7]

Answer:

3/1

Step-by-step explanation:

The average rate of change is the distance between y values divided by the distance between x values. We know this as rise/run or slope for linear equations. For non-linear equations, we calculate the average over an interval.

This function has y-values of -1 at x=0 and 5 at x=2.

We add -1+5=6 and divide this by 2-0=2.

6/2=3.

The y-values on average change 3 units for every 1 unit of the x-values.

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2 years ago

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Aleksandr-060686 [28]

Answer:

G. \frac{x}{x+1}

Step-by-step explanation:

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