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3 years ago

6

A 10-ft-long slide is attached to a deck that is 5 ft high. Find the distance from the bottom of the deck to the bottom of the s

lide to the nearest tenth.

1 answer:

drek231 [11]3 years ago

6 0

Using Pythagorean theorem, the answer should be 8.7ft

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The population of a town is 15,000. If the population is growing by 5% per year, how long will it take for the population to rea

nikdorinn [45]

by 10 years it'll be 24439 but by 11 it'll be 25661 so it's technically 11 years

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3 years ago

A lookout tower is 16 meters tall. Its shadow is 12 meters long. Close by, there is a wooden column that is 4 meters tall. How l

Lelechka [254]

Answer:

3 metres

Step-by-step explanation:

If we draw this out, we'll see that there are actually two similar right triangles (see attachment), which means that we can set up a proportion.

The height of the lookout tower corresponds to the height of the wooden column, while the shadow of the lookout tower corresponds to the shadow of the wooden column. We can then write:

(height of lookout tower) / (shadow of tower) = (height of column) / (shadow of column)

16 / 12 = 4 / x , where x is the shadow / unknown we want to find

Cross-multiply:

16x = 48

x = 3

The answer is thus 3 metres.

7 0

3 years ago

How do you use units and convert them to understand and solve problems?

Andrews [41]

A unit is a measurement. for example, a unit could be an inch, or it could be a foot. to convert you need the exact measurement so if a line is 12 inches it's 1 foot. if it is 13 then it stays in inches. You convert units to the easiest variable to calculate and then you solve your equation from there.

Hope I helped! :)

4 0

3 years ago

Quadrilateral KLMN has vertices of K(-4,-1), L(-1,-1) M(-2,-5) and N(-4,-4) Find the length of MN

Olenka [21]

Answer:

The length of MN is $\sqrt{5}$ units.

Step-by-step explanation:

The given Quadrilateral KLMN has vertices at K(-4,-1), L(-1,-1) M(-2,-5) and N(-4,-4).

We use the distance formula to find the length of MN.

$|MN|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

We plug in the values to get

$|MN|=\sqrt{(-4--2)^2+(-4--5)^2}$

$|MN|=\sqrt{(-2)^2+(1)^2}$

$|MN|=\sqrt{4+1}$

$|MN|=\sqrt{5}$

The length of MN is $\sqrt{5}$ units.

3 0

3 years ago

Let me know if anyone can answer this for me thank you.

Vladimir [108]

Let's calculate the slope of the A(3,1.5) and B(5, 2.5)

The formula of the slope m =(y₂-y₁)/(x₂-x₁)

m = (2.5 - 1.5)/(5 - 3)

m = (1)/(2) = 0.5
Aaron rate for mowing lawns is 0.5 Acre/Hour

8 0

3 years ago