Step-by-step explanation:
A baseball field is in the shape of a square (or diamond). Home plate and second base are opposite corners of each other. So the distance is equal to the diagonal of the square.
Use Pythagorean theorem to find the diagonal, or use properties of a 45-45-90 triangle.
Using Pythagorean theorem:
c² = a² + b²
c² = (90 ft)² + (90 ft)²
c = 90√2 ft
c ≈ 127 ft
to solve for j first you need to cross multiply;
j × 35 = 42 × 55
35j = 2,310
j = 2,310 ÷ 35 (did the inverse operation)
j = 66
Hope that helps :D
Answer:
He can cut 6 sections this length.
Step-by-step explanation:
he has
7(12) = 84 inches of rope.
84-34.5 = 49.5
49.5/8.25 = 6
Hi there! Use the following identities below to help with your problem.
What we know is our tangent value. We are going to use the tan²θ+1 = sec²θ to find the value of cosθ. Substitute tanθ = 4 in the second identity.
As we know, sec²θ = 1/cos²θ.
And thus,
Since the given domain is 180° < θ < 360°. Thus, the cosθ < 0.
Then use the Identity of sinθ = tanθcosθ to find the sinθ.
Answer
- sinθ = -4sqrt(17)/17 or A choice.
Answer:
181 units²
Step-by-step explanation:
Let's break up the polygon into 3 shapes
Step 1: Area of the left rectangle
4(7) = 28 units²
Step 2: Area of middle rectangle
9(13) = 117 units²
Step 3: Area of top square
6² = 36 units²
Step 4: Add them all up
28 + 117 + 36 = 181 units²