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3 years ago

After how many years are the salaries offered by company a and company b the same

Mathematics

1 answer:

12345 [234]3 years ago

6 0

24000 + 3000x = 30000 + 2400x
3000x - 2400x = 30,000 - 24,000
600x = 6000
x = 6000/600
x = 10 years

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A solid oblique pyramid has a regular hexagon base with an area of 54_/3 cm^2 and an edge length of 6cm. Angle BAC measures 60 d

Lady_Fox [76]

Answer: The answer is (C) 324 cubic cm.

Step-by-step explanation: As given in the question, given a solid oblique pyramid with a regular hexagonal base and area 54√3 cm². Also, the edge length of the base is 6cm and ∠BAC = 60°.

We are to find the volume of the pyramid.

The formula for finding the volume of a pyramid is given by

$V=\dfrac{1}{3}b\times h,$

where, 'b' is the base area and 'h' is the perpendicular height of the pyramid.

Here, b = 54√3 cm², h = ?

Now, from the right-angled triangle ABC, we have

$\dfrac{\textup{BC}}{\textup{AC}}=\tan 60^\circ\\\\\Rightarrow \dfrac{h}{6}=\sqrt 3\\\\\Rightarrow h=6\sqrt 3.$

Therefore, the volume of the pyramid is

$V=\dfrac{1}{3}b\times h=\dfrac{1}{3}\times 54\sqrt 3\times 6\sqrt 3=324.$

Thus, the required volume is $V=324~\textup{cm}^3.$ This makes (C) as the correct option.

5 0

3 years ago

Factor each expression 30+10x-40y

Sergio039 [100]

Hello!

To factor you find the biggest number they can be divided by

The biggest number that all the number can be divided by is 10

You put that outside parenthesis

10()

Divide the expression by 10

3 + x - 4y

Put the two together

10(3 + x + 4y)

Hope this helps!

4 0

3 years ago

The size of a certain cell is 2.5 x 10^-9 m. Another cell is 1.5 x 10^3 times larger. How large is the larger cell in scientific

Sveta_85 [38]

The answer is d. I just took the quick check.

6 0

3 years ago

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How are the radius and diameter of a circle related?

antiseptic1488 [7]

The radius is always half the diameter. So, your answer is A.

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Jacob's favorite movie is 1 5/6 hours long. He says he has watch the movie 5 and a half times. If that is true. How many hours h

34kurt

$1\frac{5}{6}$ = $\frac{11}{6}$ , and when you multiply it by 5 it turns into $\frac{55}{6}$ , which is $9\frac{1}{6}$

So in conclusion he watched 9 & 10 minutes watching the movie

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3 years ago