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2 years ago

> In the diagram below, AC = 4, AB = 6 and BC = 8. Is segment AB tangent to OC.

Mathematics

1 answer:

uysha [10]2 years ago

6 0

9514 1404 393

Answer:

Step-by-step explanation:

The ratios of triangle side lengths are ...

4 : 6 : 8 = 2 : 3 : 4

This is an arithmetic progression.

The only arithmetic progression of side lengths that makes a right triangle is ...

3 : 4 : 5

The triangle is not a right triangle, so AB is not a tangent.

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3 years ago

One cubic meter of water weighs approximately 2200 pounds. There are 100 cm in one meter. If you have a box-shaped fish tank tha

Diano4ka-milaya [45]

Answer:

158.4 pounds

Step-by-step explanation:

first find the volume of the tank

$V = 30 \times 30 \times 80$

$V = 72000 cm^3$

to convert this to m^3 we know that 1m = 100cm

$V = 72000 cm^3 \times \left(\dfrac{1\,\text{m}}{100\,\text{cm}}\right)^3$

$V = 72000 cm^3 \times \left(\dfrac{1\,\text{m}^3}{100^3\,\text{cm}^3}\right)$

the cm^3 cancel out.

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by simply converting the side-lengths to meters beforehand can give you this answer directly:

$V = 0.3 \times 0.3 \times 0.8 = 0.072 m^3$

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$1\,m^3 = 2200 \,\text{lb}$

multiply both sides with 0.072 to find our answer:

$1\,m^3 \times 0.072 = 2200 \times 0.072 \,\text{lb}$

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3 years ago

By how much does the dependent variable change in response to a change of 1 unit of the independent variable?

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Answer: C) 5

--------------

x = independent variable, y = dependent variable

Assuming this is a linear function, each increase of x by 2 leads to y going up by 10. So 10/2 = 5 is the unit increase each time x bumps up by 1.

-------------------

An alternative is to use the slope formula to get

m = (y2 - y1)/(x2 - x1)

m = (25 - 15)/(4 - 2)

m = 10/2 <--- this expression shows up again

m = 5 <---- leading to the same answer as before

So we see that the slope formula is a more drawn out method to finding the answer.

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Step-by-step explanation:

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3 years ago

> In the diagram below, AC = 4, AB = 6 and BC = 8. Is segment AB tangent to OC.​

> In the diagram below, AC = 4, AB = 6 and BC = 8. Is segment AB tangent to OC.