Answer:
165
Step-by-step explanation:
Here we have to use the ratio.
Both earth and Pluto are in similar shapes.
To find the number of sphere the size of Pluto does it take to have the same volume, we need to divide the earth's volume by Pluto's volume.
= Earth's volume/Pluto's volume
= 4/3 π (6371)^3 ÷ 4/3 π (1161)^3
Cancelling out 4/3 π both in the numerator and in the denominator, we get
= (6371)^3 ÷ (1161)^3
= 258596602811 ÷ 1564936281
= 165.24
Approximately 165 spheres the size of Pluto to cover the earth volume.
Thank you.
Answer:
12
Step-by-step explanation:
If you compare table values to answer choices, you can see right away that several don't work. The number of centimeters is greater than the number of inches, so adding to or multiplying the number of centimeters by some number more than 1 will not give you the smalller number that is inches.
While it may work for the first number (5 inches) to add 7.7 to get the first number of centimeters (12.7), you have to know that you can only add like to like. You can only add inches to inches (getting a result of inches), or centimeters to centimeters (getting a result of centimeters). From the point of view of the units involved, it is <em>nonsensical</em> to add a pure number to a number of inches and expect to get a number of centimeters.
So, we're down to the second choice:
- The number of inches is multiplied by 2.54 to find the number of centimeters.
_____
To find the pattern in the table, you can ...
- observe that the inch values differ by 1
- observe that the centimeter values differ by 2.54
- realize that the constant differences mean the relation between inches and centimeters is linear, and that a change in an inch value of 1 inch is multiplied by 2.54 to find the corresponding change in centimeter value.
_____
I don't know what the first step in your problem solving process is supposed to be. In my problem solving process, the first step is always to <em>look at what you are given</em>. The next step is <em>look at what you are being asked for</em>.
Answer:
tan(B)
Step-by-step explanation:
we know that
The tangent of an angle is equal to divide the opposite side to the angle by the adjacent side to the angle
In this problem
tan(B)=AC/AB
substitute
tan(B)=8/15
#Algebrastruggles lol
The answer is y= 3x + 3
