What is the product in scientific notation? (2.5 x 10-10)(7 x 10-6)

Which of the following numbers could be the sides of a right triangle. A)8,15,17. B)6,8,12 C)9,11,21 D)4,13,16

ArbitrLikvidat [17]

Answer:

A) 8, 15, 17.

Step-by-step explanation:

Right triangle obey the Pythagorean theorem. Thus, we choose the two smaller numbers (being the cathetus) and if after applying the P. Theorem we get the biggest of each option (the hypotenuse) that means that those numbers could be the sides of a right triangle.

The Pythagorean theorem states that: $a^2+b^2=c^2$

Thus:

$\sqrt{a^2+b^2}=c$

Option A:

$\sqrt{8^2+15^2}=17$ → 17 = 17 OK!

Option B:

$\sqrt{6^2+8^2} = 10$ → 10 ≠ 12 NO

Option C:

$\sqrt{9^2+11^2} = [tex]\sqrt{202}$ [/tex] → $\sqrt{202}$ ≠ 21 NO

Option D:

$\sqrt{4^2+13^2} = \sqrt{185}$ → $\sqrt{185}$ ≠ 16 NO

3 0

3 years ago

Rochelle earned $500 during the summer. She put 35% of this amount into savings. Which of the following fraction is equivalent t

vivado [14]

Answer:

65/100 or 13/20

Step-by-step explanation:

65% = 65/100 and simplify to 13/20

6 0

3 years ago

A company's revenue function and cost function are as follows: R(x) = 0.55x and C(x) = 10 + 0.05x. What is the minimum number of

Oduvanchick [21]

Answer:

Minimum number of units sold to make profit is equal to 20

Step-by-step explanation:

Revenue earned by the company as a function of number of units sold as x:

R(x) = 0.55x

Cost for selling units as a function of number of units sold as x:

C(x) = 10 + 0.05x

Net profit earned by the company = (Revenue earned by the company) - (Cost of selling units)

P(x) = (0.55x) - (10 + 0.05x)

P(x) = 0.55x - 10 - 0.05x

P(x) = 0.5x - 10

To earn profit the following condition should satisfy: P(x) ≥ 0

0.5x - 10 ≥ 0

0.5x ≥ 10

x ≥ $\frac{10}{0.5}$

x ≥ 20

4 0

2 years ago

1. What's the effect of scale factor on perimeter? 2. What's the effect of scale factor on area?

kobusy [5.1K]

It shows the Ora scale for area multiply width and length

6 0

3 years ago

You order a new pair of running shoes from a website that offers free shipping on orders of $75 or more. Your shoes cost $69.95.

gayaneshka [121]

Answer: x > 75-69.95; you need five dollars and five cents more for free shipping ($5.05)

Step-by-step explanation: i believe this is the correct answer because as long as you have 75 dollars or more, then you will be good so that’s how i got the inequality. to find this you just subtract the amount needed (75) by the amount you have and you get your answer. oh and to be clear x represents the amount needed for free shipping. i am not sure if i understood the problem correctly so i apologize if it is incorrect. i hope this helped and good luck!

3 0

2 years ago