Answer:
74°
Step-by-step explanation:
b + 16°= 90°
b = 74°
the steps to the equation
The required possible width for the sandbox is w ≤ 13 feet.
Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Let w be the width of the sandbox in feet.
According to the problem, the length of the sandbox is 4 feet longer than the width, so the length can be represented as w + 4.
To find the amount of wood needed to frame the sandbox, we need to find the perimeter of the sandbox, which is the sum of the lengths of all four sides. Since there are two sides of width w and two sides of length w + 4, the perimeter of the sandbox is:
Perimeter = 2w + 2(w + 4) = 4w + 8
The problem states that Jimmy can use no more than 60 feet of wood, so we can write an inequality that represents this constraint:
4w + 8 ≤ 60
Simplifying this inequality, we get:
4w ≤ 52
w ≤ 13
Therefore, a possible width for the sandbox is w ≤ 13 feet.
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Answer:
Question 5: y = 6.69 ft
Question 6: z = 12.52 in
Step-by-step explanation:
Question 5
In the right triangle shown, with respect to the angle given, y is the side that is "opposite" and the known side (15) is the "hypotenuse".
Note: The side opposite of right angle is the hypotenuse
Which trigonometric ratio relates "opposite" and "hypotenuse"? It is "SINE".
Let's setup the ratio and solve for y:
So,
y = 6.69 feet
Question 6
With relation to the angle given, we have the "adjacent" side and the "hypotenuse".
Which trigonometric ratio relates "adjacent" with "hypotenuse"?
It is COSINE!
We can set up a ratio as the previous question and solve for z:
So,
z = 12.52 inches