Answer:
.13
Step-by-step explanation:
We need to find the areas of the regions
Area of the shaded region
A =pi r^2
pi (5)^2
25pi
The area of the total region
A = pi r^2
A = pi 14^2
= 196 pi
P(shaded) = shaded/ total
= 25 pi/196 pi
25/196
.12755102
To the nearest hundredth
.13
Answer:
44, 46
Step-by-step explanation:
The integers are both even, so if the smaller one is x, then the larger one is x+2.
Therefore:
((x) + (x+2))² = 4048 + (x)² + (x+2)²
(2x + 2)² = 4048 + x² + x² + 4x + 4
4x² + 8x + 4 = 2x² + 4x + 4052
2x² + 4x - 4048 = 0
x² + 2x - 2024 = 0
(x + 46) (x - 44) = 0
x = -4+, 44
Since x must be positive, x = 44. And x+2 = 46. So the numbers are 44 and 46.
Let's check:
(44 + 46)² = 8100
4048 + 44² + 46² = 8100
Answer:

Step-by-step explanation:
Please refer to the attachment.
By AA Similarity, the two triangles are similar.
Therefore, corresponding parts of them are proportional.
Therefore, we can write the following proportion:

We will solve for x. Cross-multiply:

Distribute:

Subtract 21 from both sides:

Divide both sides by 7. So, the value of x is:

However, that is only the value of x.
The shadow of the tree is (x+3).
Hence, we will need tot add 3 to our value. Therefore, the actual length of the shadow of the tree is approximately:

Answer:
1.445×10*3
Step-by-step explanation: