Answer:
<em>The little brother should place the mirror at 36 ft from the base of the tree to properly see its top</em>
Step-by-step explanation:
<u>Similar Triangles
</u>
Two triangles are defined as similar if their corresponding angles are congruent and the corresponding sides are in proportion. The triangle formed by the kid and the ground and the triangle formed by the tree and the ground are similar since the angle of reflection over the mirror is the same, i.e. the light travels in a straight line. This means that we can set this proportion
Solving for x
The little brother should place the mirror at 36 ft from the base of the tree to properly see its top
The answer is A, (x,y) to (3x,3y)
Perimeter can be found by the formula : Perimeter = 2L + 2 W
Perimeter = 2L + 2 W
Perimeter = 2(2a) + 2(a + 1) . ← Option 4
Perimeter = 4a + 2a + 2
Perimeterr = 6a + 2 ← Option 5
Perimeter can also be found by simply adding up all the 4 sides:
Perimeter = L + W + L + W
Perimeter = L + W + L + W
Perimeter = 2a + a + 1 + 2a + a + 1 ← Option 3
Perimeter = 3a + 1 + 3a + 1 ← Option 1
Answer: Option 1, 3, 4 and 5 are correct.
Step-by-step explanation:
We can calculate the value of y by using the Euclidean theorem
y^2 = 20 × 4
y^2 = 80
y = 4√5
Answer:
a.) 1003
Step-by-step explanation:
The formula to find the sum of an arithmetic sequence: Sn = n/2[2a + (n - 1)d], where a is the first term, n is the number of terms and d is the common difference.
1) Let's substitute the values into the formula.
S17 = 17/2[2(11) + (17 - 1)6]
S17 = 17/2[22 + (16)6]
S17 = 17/2[22 + 96]
S17 = 17/2[118]
S17 = 17/2 × 118
S17 = 1003
Therefore, the sum of the first 17 terms of this arithmetic sequence is 1003 (a).
