Answer:
Step-by-step explanation:
The quadrilateral has 4 sides and only two of them are equal.
A) to find PR, we will consider the triangle, PRQ.
Using cosine rule
a^2 = b^2 + c^2 - 2abcos A
We are looking for PR
PR^2 = 8^2 + 7^2 - 2 ×8 × 7Cos70
PR^2 = 64 + 49 - 112 × 0.3420
PR^2 = 113 - 38.304 = 74.696
PR = √74.696 = 8.64
B) to find the perimeter of PQRS, we will consider the triangle, RSP. It is an isosceles triangle. Therefore, two sides and two base angles are equal. To determine the length of SP,
We will use the sine rule because only one side,PR is known
For sine rule,
a/sinA = b/sinB
SP/ sin 35 = 8.64/sin110
Cross multiplying
SPsin110 = 8.64sin35
SP = 8.64sin35/sin110
SP = (8.64 × 0.5736)/0.9397
SP = 5.27
SR = SP = 5.27
The perimeter of the quadrilateral PQRS is the sum of the sides. The perimeter = 8 + 7 + 5.27 + 5.27 = 25.54 cm
15 adult tickets, or 41 children tickets. but combined it could be, 13 adults and 5 children tickets.
Answer:7 inch
Step-by-step explanation:
ok done
Answer:
x = 
Step-by-step explanation:
Given
y = 
← multiply both sides by (5x - 2)
y(5x - 2) = 2x + 3 ← distribute left side
5xy - 2y = 2x + 3 ( add 2y to both sides )
5xy = 2x + 3 + 2y ( subtract 2x from both sides )
5xy - 2x = 3 + 2y ( factor out x from each term on the left side )
x(5y - 2) = 3 + 2y ← divide both sides by (5y - 2)
x =
Answer:
<em>B</em>
Explanation:
The Honey Roasted Macadamia nuts are distributed relatively consistently among the lower end of the graph, whereas the Milk Chocolate Macadamia nuts are distributed throughout the entire graph with almost no consistency.
