Answer:

Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z-----> the scale factor
x----> the volume of the planet's moon
y---> the volume of the planet
so

In this problem we have

elevated to the cube

Find the percent

Round to the nearest whole number

The answer is 7/9.
0.7 as a fraction is 7/10.
I found the least common denominator of these two and converted them to equivalent fractions.
7/10 = 63/90
7/9 = 70/90
Therefore 70/90 is bigger, therefore the answer is 7/9.
Hope this helps~
Answer:
Part 1) The measure of angle A is 
Part 2) The length side of a is equal to 
Part 3) The length side of b is equal to 
Step-by-step explanation:
step 1
Find the measure of angle A
we know that
The sum of the internal angles of a triangle must be equal to 180 degrees
so

substitute the given values



step 2
Find the length of side a
Applying the law of sines

substitute the given values



step 3
Find the length of side b
Applying the law of sines

substitute the given values



Answer:

Step-by-step explanation:
To solve this, we can imagine a line drawn directly down from the point (10,4) to the x-axis. This would make a right triangle with length 10 and height 4.
is equal to the length of adjacent leg to the angle divided by the length of the hypotenuse of the triangle. From the picture, we can see the adjacent leg is 10.
We can use Pythagorean's Theorem to find the hypotenuse (let
represent the length of the hypotenuse):




Thus, we know the adjacent is 10, and the hypotenuse is
. This means
.
Hope this helps!