(C) 6 + 3√3
<u>Explanation:</u>
Area of the square = 3
a X a = 3
a² = 3
a = √3
Therefore, QR, RS, SP, PQ = √3
ΔBAC ≅ ΔBQR
Therefore,
In ΔBAC, BA = AC = BC because the triangle is equilateral
So,
BQ = √3
So, BQ, QR, BR = √3 (equilateral triangle)
Let AP and SC be a
So, AQ and RC will be 2a
In ΔAPQ,
(AP)² + (QP)² = (AQ)²
(a)² + (√3)² = (2a)²
a² + 3 = 4a²
3 = 3a²
a = 1
Similarly, in ΔRSC
(SC)² + (RS)² = (RC)²
(a)² + (√3)² = (2a)²
a² + 3 = 4a²
3 = 3a²
a = 1
So, AP and SC = 1
and AQ and RC = 2 X 1 = 2
Therefore, perimeter of the triangle = BQ + QA + AP + PS + SC + RC + BR
Perimeter = √3 + 2 + 1 + √3 + 1 + 2 + √3
Perimeter = 6 + 3√3
Therefore, the perimeter of the triangle is 6 + 3√3
Answer:
x = - 12, x = 2
Step-by-step explanation:
Given
x² + 10x = 24
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(5)x + 25 = 24 + 25
(x + 5)² = 49 ( take the square root of both sides )
x + 5 = ± = ± 7 ( subtract 5 from both sides )
HOPE THIS HELPS
Answer:
Point D
Step-by-step explanation:
I hope this helps
Answer:
The retail price to purchase a remote-controlled car at the hobby store is $42
Step-by-step explanation:
Original Price of remote controlled car = $35
Mark up = 20%
We need to find retail price.
First we will find mark up value i.e. 20% of 35 and then add it to the original price to find retail price.
Finding 20% of 35
So, mark up price is $7
Now, the retail price will be:
<em>Retail price = Original Price + Mark up</em>
Retail price = 35 + 7
Retail price = 42
So, the retail price to purchase a remote-controlled car at the hobby store is $42
