Answer:
x = 26.4
Step-by-step explanation:
Hi there!
<u>What we need to know:</u>
Basic trigonomic ratios (θ is the reference angle):
- Sine θ = opposite / hypotenuse
- Cosine θ = adjacent / hypotenuse
- Tangent θ = opposite / adjacent
Given the diagram, we can see that the reference angle is x. We are also given the hypotenuse (9) and the opposite side length (4). With the opposite and the hypotenuse, we know that we need to use the sine ratio:
sin(x) = 4/9
To solve for an angle given the side lengths, we use the inverse functions:
x = sin^-1 (4/9)
x = 26.4
I hope this helps!
Probably the coordinate plane, since there are 2 number lines (which is the x and y axis). Therefore, it it perpendicular and forms a right angle. Hope this helps!
Answer:
50cm²
Step-by-step explanation:
Let the width be x cm
The length will be x + 5 cm
Perimeter is 30cm
Perimeter is given by (2 × length) + ( 2 × width)
2(x + 5) + 2x = 30cm
2x + 10 + 2x = 30cm
4x = 20cm , x = 20/4 = 5cm
x (width) = 5cm
Length = 5 + 5 = 10cm
Area = Length × width
Area = 10cm × 5cm = 50cm²
Answer:
-7/2 degrees per hour
Step-by-step explanation:
Divide the total change (-12 1/4 degrees) by the total time elapsed (3 1/2 hrs):
-49/4 degrees -49(2)
------------------------ = ------------- = -7/2 degrees per hour
7/2 hrs 4(7)
Similar triangles have all their angles equal and corresponding sides have the same ratio. Being said the slopes of the sides should be the same for both triangles. Hope this answers the question. Have a nice day.