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Firlakuza [10]
3 years ago
6

Looking into the sky one night, Tori wondered how far into outer space she would get if she drove a car for 3.21 × 103 hours at

a rate of 70mph. She calculated and determined that a car travelling at 70 mph covers approximately 1.13 × 105 meters per hour. Tori wrote this expression to determine the distance she would travel into outer space. (3.21 × 103)(1.13 × 105) Estimate the distance travelled
Mathematics
2 answers:
Westkost [7]3 years ago
5 0

Answer:

         \large\boxed{\large\boxed{3\times 10^8meters}}

Explanation:

One of the applications of scientific notation is to make estimations rounding the whole part of the numbers, i.e. the digits before the decimal point, to the nearest integer, and adding the exponents of the powers of base 10.

Here, you must estimate this product of two numbers written is scientific notation:

          (3.21\times 10^3)(1.13\times 10^5)

Then, for an estimation you round 3.21 to 3 and 1.13 to 1, then multiply 3 × 1 = 3. That will be the coefficient of your new power of 10.

The power or exponent will be the sum of the powers of the numbers that are being multiplied, i.e. 3 + 5 = 8.

And the result is 3\times 10^8

The unit is meters, so you write your answer as: 3\times 10^8meters

ki77a [65]3 years ago
5 0

Answer:

b. 3*10^8

Step-by-step explanation:

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son4ous [18]

Answer:

6A=8B=6\left[\begin{array}{ccc}-4&-1&-9\\-9&6&9\\-1&-1&3\end{array}\right] -8\left[\begin{array}{ccc}-10&-2&-5\\9&-7&-1\\9&-4&2\end{array}\right]

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So,~ A ~is ~your~ answer~

<u>---------------------------</u>

<u>hope it helps..</u>

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7 0
2 years ago
A radio station had 141 tickets to a concert. They gave away 2 times as many tickets to listeners as to employees. How many tick
erica [24]

Answer:

Option C: 47 tickets

Step-by-step explanation:

Given that:

Tickets given to employees = 1 part

Tickets given to listeners = 2 parts

This means 141 tickets are totally divided into 3 parts so:

1 part = 141/3

1 part = 47

So now,

Tickets given to employees = 1 part = 47 tickets

Tickets given to listeners = 2 parts = 47 *2 tickets = 94 tickets

I hope it will help you!

4 0
3 years ago
In ΔXYZ, x = 8.3 meters, y = 9 meters, and z = 15 meters. Find the remaining measurements of the triangle, and round your answer
laila [671]

Answer:

<u>The correct answer is B. ∠X = 28.6°, ∠Y = 31.2°, ∠Z = 120.2°</u>

Step-by-step explanation:

Let's recall that for solving a SSS triangle, we :

1. Use the Law of Cosines first to calculate one of the angles

2. Use The Law of Cosines again to find another angle

3. Finally use angles of a triangle add to 180° to find the last angle.

1. Cos x = (9² + 15² - 8.3²/2 * 9 * 15)

Cos x = (81 + 225 - 68.89/270)

Cos x = 0.878

x = Cos ⁻¹ (0.878)

x = 28.6° (rounding to the next tenth)

2. Cos y = (8.3² + 15² - 9²/2 * 8.3 * 15)

Cos y = (68.89 + 225 - 81/249)

Cos y = 0.855

x = Cos ⁻¹ (0.855)

x = 31.2° (rounding to the next tenth)

3. z = 180 - 31.2 - 28.6

z = 120.2°

<u>The correct answer is B. ∠X = 28.6°, ∠Y = 31.2°, ∠Z = 120.2°</u>

4 0
3 years ago
Write an equation for the proportional relationship shown in the table.
VladimirAG [237]

9514 1404 393

Answer:

  y = 38x

Step-by-step explanation:

The constant of proportionality (k) is the value of y when x=1. The table shows that to be 38. Then the equation is ...

  y = kx

  y = 38x

3 0
3 years ago
Which represents a unit rate? The cost of cat food is $36 per 3 bags
coldgirl [10]

Step-by-step explanation:

To find unit rate

1 bag = 36÷ 3 = 12

So unit rate = $12

3 0
3 years ago
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