Answer:
b = 20 cm.
Step-by-step explanation:
<u>Define and explain:</u>
This is a right triangle, so the Pythagorean Theorem applies.
The Pythagorean Theorem states that the sum of the squared legs will equal the squared length of the hypotenuse.
The legs of a triangle are the sides that form the right angle.
The hypotenuse is the longest side; the hypotenuse is always diagonal from the small square indicating a right angle.
<u>Solve:</u>
<u>Conclude:</u>
Therefore, the length of the unknown side is 20 centimeters.
Answer:
You would use PEMDAS
Step-by-step explanation:
Parentheses first
Exponents second
Multiplication third
Division fourth
Addition fifth
Subtraction last
<u><em>Answer:</em></u>
θ = 76°
<u><em>Explanation:</em></u>
<u>The given equation is:</u>
8 cotθ + 3 = 5
8 cotθ = 5-3
8 cotθ = 2
cot θ = 
<u>Now, we find θ</u>
We know that the cot function is the inverse of the tan function.
The tan of an angle is positive in the first and third quadrants, therefore, the cot will be <u>positive</u> in the <u>first and third quadrants</u> as well
<u>Now, we are given the condition:</u>
0° ≤ x ≤ 90°
<u>Therefore, we know for sure that our angle is in the first quadrant</u>
θ = cot⁻¹(
) = 75.96° = 76° to the nearest degree
Hope this helps :)
Answer:
c) 120 ft
Step-by-step explanation:
Let's consider the rhombus has 4 sides, A, B, C, and D.
To find the length of each side, let's first find the length AE.
From the diagram, AE is half of AC and AC = 30 ft.
Therefore,
AE = ½ * 30
AE = 15 ft
Let's find the length AD, since we are looking for the distance around the perimeter.
We are told the rhombus is formed by four identical triangles.
Therefore the distance around the perimeter would be: AD+AD+AD+AD=
30 ft + 30 ft + 30 ft + 30 ft
= 120 ft
The distance around the perimeter of the garden is 120 ft
