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3 years ago

Darius earns a salary of $4,700 per month, plus a

Mathematics

1 answer:

zvonat [6]3 years ago

8 0

Answer:

Well I'm not exactly sure what you're asking for here, but if you're looking at how much Darius needs to make to get $5000 that month, the answer is $46,153.85 (Rounded to two decimal places)

Step-by-step explanation:

Let y represent the total Darius makes, in $

Let x represent the total sales money Darius makes, in $

y = 0.0065x + 4700

5000 = 0.0065x + 4700

300 = 0.0065x

300/0.0065x = 0.0065x/0.0065

x = 46,153.84615...

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A boat travels 45 miles east (right) then 60 miles north (up), how far is it from the starting point?

tekilochka [14]

A boat travels 45 miles east then 60 miles north, how far is it from where it started. Draw this. The hypotenuse of the right triangle is the square root (45^2)+(60^2)=square root of 2025=3600=square root of 5625, or 75 miles.

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3 years ago

Read 2 more answers

A teacher shares pencils among his three students Anne, Lucy and John. Anne gets 5 times as many pencils as Lucy, and Lucy gets

Anna [14]

Answer:

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Step-by-step explanation:

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3 years ago

Justice hopes to build a fence around his garden he measures and determined that he needs 24 feet of fencing when he arrives at

Sunny_sXe [5.5K]

Answer:

It will cost $72 Justice to fence in his garden.

Step-by-step explanation:

Total length of the fencing around the garden = 24 feet

Cost of fencing per inch = $0.25

Now, as we know 1 foot = 12 inches

⇒ 24 feet = 24 x 12 inch = 288 inches

⇒ 24 feet = 288 inches

Hence, the total length of fencing = 288 inches.

Now, Total cost of Fencing

=Total length of fencing x Cost of fencing par inch

= 288 inches x ($0.25)

= $ 72

or, the total cost of fencing = $72

Hence, it will cost $72 Justice to fence in his garden.

7 0

3 years ago

What is the volume of this cone?

olchik [2.2K]

Answer:

The volume of the cone is approximately 453.0 cm³

Step-by-step explanation:

The volume of a cone is one third that of a cylinder with the same height and radius. That gives us 1/3 πr²h, where r is radius and h is height.

However, we are not given the height of the cone, but the side length. We can work out the height using the Pythagorean theorem, as we have a right triangle with the height, base radius, and length. You may recall that the Pythagorean theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of it's other two sides:

$a^2 = b^2 + c^2$

So we can find the height of the cone with that:

$10.8^2 = 7.4^2 + h^2\\h^2 = 10.8^2 - 7.4^2\\h^2 = 116.64 - 54.76\\h^2 = 61.88\\h = \sqrt{61.88}\\h \approx 7.9$

Now that we have the cone's height, we can solve for its volume:

$v = \frac{1}{3} \pi r^2 h\\v = \frac{1}{3} \pi \times 7.4^2 \times 7.9\\v = \frac{1}{3} \pi \times 54.76 \times 7.9\\v = \frac{1}{3} \pi \times 432.6\\v = \pi \times 144.2\\v \approx 453.0 cm^3$