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pantera1 [17]
3 years ago
6

One light year is defined as the distance light travels in 1 year. use this information to determine how many meters there are i

n 1 light-year.
Mathematics
1 answer:
kogti [31]3 years ago
6 0
9.461*10^15 or 9,461,000,000,000,000 meters.
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Lucy places five cards that are labeled 1 to 6 face down on the table and mixes them up. What is the likelihood that her friend
melisa1 [442]

Answer:

1/2 or 0.5

Step-by-step explanation:

Within 1 to 6,

Even numbers are 2, 4, 6

While odd numbers are 1, 3, 5

Assuming cards are mixed up properly and the probabilities of drawing a card with any number from 1 to 6 is constant,

Probability of drawing even number cards = number of units of even number cards ÷ total number of units of cards from 1 to 6 aka total number of cards

= 3 / 6

= 1 / 2

4 0
4 years ago
Use the number line below, where RS = 7y +5. ST = 3y +5, and RT = 70.<br> a. What is the value of y?
NeTakaya

Answer:

Step-by-step explanation:

7y+5+3y+5=70

10y+10=70

10y=60

y=6

7(6)+5= 42+5= 47

3(6)+5= 18 + 5 =23

47+23= 70

8 0
3 years ago
- 12x +5y = 2<br> -3x+3y=-3
zlopas [31]
(3,2) is the answer of the system of equations.
6 0
3 years ago
What shape is produced when slicing a right rectangular pyramid perpendicular to the base
vovikov84 [41]

For the most part, the cross-section formed is a <em>trapezoid</em>, but if the slice passes through the apex of the pyramid, that shape is a <em>triangle</em>.

(Image source: MathCaptain.com)

5 0
3 years ago
Determine the mass of a solid steel ball that has a diameter of 10 cm. The density of pure steel is 8.09 g/cm3
Basile [38]

Answer:

<em>The mass of the steel ball is 4,235.9 gr</em>

Step-by-step explanation:

<u>Density</u>

The density ρ of a substance is a measure of its mass per unit volume:

\displaystyle \rho=\frac{m}{V}

If the density and the volume are given, the mass can be calculated by solving the above formula for m:

m=\rho.V

We know the density of pure steel ρ=8.09 gr/cm3 and the diameter of a solid steel ball d=10 cm.

We need to calculate the volume of the sphere:

The volume of a sphere of radius r is given by:

\displaystyle V=\frac{4}{3}\cdot \pi\cdot r^3

The radius is half the diameter: r= 10/2 = 5 cm. Thus:

\displaystyle V=\frac{4}{3}\cdot \pi\cdot 5^3

Calculating:

V=523.6\ cm^3

The mass is:

m=8.09 gr/cm^3 \cdot 523.6\ cm^3

m=4,235.9 gr

The mass of the steel ball is 4,235.9 gr

4 0
3 years ago
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