Step-by-step explanation:
an object and its shadow create a right-angled triangle.
2 objects and their shadows create 2 similar right-angled triangles.
that means the angles are the same, and the side lengths of one triangle all correlate with the corresponding side lengths of the other triangle via the same factor.
so,
42 × f = 6
f = 6/42 = 1/7
the length of Joel's shadow is then
20 × f = 20 × 1/7 = 2.857142857... ft
Hello Bri,
If you are talking about a boundary line on a coordinate plane, the best way to determine which side to shade is to start by selecting a coordinate point (x, y) that is not on the line.
Then, substitute those values into your inequality. Simplify the inequality. If the resulting statement is true, then shade the side with your point. If the resulting statement is false, then shade the other side.
Testing a point like this shows the side of the inequality that is the solution and needs to be shaded.
Good luck!
Find how many weeks are in a year and times by 5.15
Answer:
Option (2)
Step-by-step explanation:
Since, rotation of any figure is a rigid transformation, side lengths and measure of angles of the image polygon after rotation will remain same.
NP = N'P'
Coordinates of N → (5, 9)
Coordinates of P → (7, 9)
Formula of distance between two points 
and 
is,
d = 
By this formula length of NP = 
= 2 units
Therefore, Option (2) will be the correct option.
Rate : 2.7 * 10 ^5 kg/hectare
m = 2.7 * 10^5 kg/hectare * 1.0 hectare = 2.7 * 10^5 kg
50°= 1/2
m ( Carbon ) = 1/2 * 2.7 * 10^5 kg = 1.35 * 10^5 kg
The mass of Carbon is 135,000 kg or 135 tons.
