How many different three-letter initials are there that contain at least one a?

Mathematics

2 answers:

snow_tiger [21]3 years ago

4 0

I believe the answer is 600

Semenov [28]3 years ago

3 0

The answer 600

Make my answer the best!!!!

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Make b the subject of the formula: <br><br> S=ab-bc

anastassius [24]

Here, you just want to solve for b. because the right side of the equation doesn't have any like terms, you have to factor that b out:

s = ab - bc
s = b(a - c)

divide both sides by (a - c)

s/(a - c) = b is your answer. it's "s" over "a - c" if the formatting is difficult to read

5 0

3 years ago

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Which of the following shows the factors of 2y^2 - 2y - 4? Select one of the options below as your answer: A. (2y - 4)(y - 1) B.

yulyashka [42]

If you multiply out the answers, which is easier, then you can find the correct answer.

The factors need to multiply together to create the original problem, so it's just a matter of plug and chug.

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4 years ago

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A pole that is 3m tall casts a shadow that is 1.22m long. At the same time, a nearby building casts a shadow that is 38.5m long.

vichka [17]

Refer to the diagram shown below.

The height of the pole is CD (3 m), and its shadow is AB (1.22 m).
The height of the building is h m, and its shadow is AD (38.5 m).

The two triangles ΔABC and ΔADE are similar because of AAA.
Therefore
$\frac{DE}{BC} = \frac{AD}{AB} \\\\ \frac{h}{3} = \frac{38.5}{1.22}$

Cross multiply.
1.22 h = 3*38.5 = 115.5
h = 115.5/1.22 = 140.91 m

Answer: 141 m (nearest meter)