I think it should be 1.7?
a^2 + b^2 = c^2
c^2 = 16
Square root of 16 is 4.
1 + 3 = 4
Square root of 1 is 1 and square root of 3 is given, which is 1.7.
An equilateral has two right triangles out together, so basically that would be a rectangle.
1 x 1.7 = 1.7
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
For number 1:
10.2 miles. 1/5 is the same as 0.2 so that's how it would be referred to. So the first 0.2 is $0.75 leaving us with 10 miles left. To calculate how many times we add the addition 0.2 mile charge we do 10/ 0.2 = 50. Multiply this 50 by the fare of $0.55 to get $27.50.
Add that $27.50 to the first $0.75 to get $28.25, option A.
For number 2:
Same process. 9.5 miles, first 0.2 miles is $0.75. Leaving us with 9.3 miles left. Rounding to the nearest fifth, I'm guessing that want it to be 9.2 miles. Divide 9.2 by 0.2 to get the amount of times the additional 0.2 mile charge is added, 46. Multiply 46 by the fare charge of $0.55 to get $25.30. Add the first $0.75 charge to get 26.05.
This answer is not up there so I'm going to use the actual 9.3 miles. 9.3/ 0.2 = 46.5. 46.5 * $0.55 = $25.575, call it 25.58. Add the first $0.75 to get $26.32.
Both of these aren't there but they both have $26 in them so I'd go with option B.
Answer:
103.893
Step-by-step explanation:
