Answer:
15 feet
Step-by-step explanation:
The question talks about;
- A rectangular flower bed whose dimensions are 12 ft by 9 ft
We are required to determine the length of the diagonal
To answer the question, we need to know the following;
- All the angles in a rectangle are right angles
- A diagonal divides a rectangle into two right-angled triangles
- The dimensions of the rectangle acts as the legs of right angled triangle.
Therefore;
Using Pythagoras theorem;
a² + b² = c²
Where, c is the hypotenuse (in this case the diagonal)
a and b are the shorter sides of the right-angled triangle
Therefore;
c² = 12² + 9²
c² = 144 + 81
= 225
c = √225
= 15
Therefore, the length of the diagonal is 15 feet
Answer:
Step-by-step explanation:
Givens
d1 = d
d2 = 75 - d
r1 = x
r2 = x + 7
t = 3
Equation
x*t + (x + 7)*t = 75
This equation represents the total distance travelled. Neither one of the cyclists have gone 75 miles, but they both have gone distances that equal a total of 75 miles.
Solution
3x + (x + 7)*3 = 75
3x + 3x + 21 = 75
6x + 21 = 75
6x = 54
6x/6 = 54/6
x = 9
Answer
The first cyclist is going 9 miles / hr
The second cyclist is going 16 miles / hour
Number of Goats in the zoo = 6
number of total animals = 2 + 4 + 3 + 6 = 15
So, ratio would be: 6/15 = 2/5
In short, Your Answer would be 2/5
Hope this helps!
Equidistant
When a point is equal between two objects, this is know as a equidistant. In geometry, an equidistant is a locus between two points in a perpendicular bisector.
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Best Regards,
Wolfyy :)
<u>Answer:</u>
Planet A is inner
Planet A is Mars
Planet B is Outer
Planet B is Uranus
<u>Solution:</u>
We know that the inner planets are the planets which are close to the sun. They are relatively small, mostly rocky composition, and have few or no moons.
On other hand, the outer planets are the planets which are far away from the sun. They are mostly huge, ringed, gaseous and have several moons.
In the given problem,
Planet A has rocky mantle and iron core, less no of Moons and no rings, also due to 96% of carbon dioxide, 3% nitrogen and 1% other gases this is denser, and Hence Planet A is inner planet. As the distance from the sun is 1.5 AU and no of moons are 2, hence Planet A is Mars.
On the other hand, Planet B is gaseous with hydrogen and helium gas, hence it is also denser and it has large no of moons and faint rings. So Planet B is Outer planet. As the distance of the planet is 19.22 AU and has 27 moons, hence Planet B is Uranus.
