Answer:
The cubed root of four hundred and forty-eight ∛448 = 7.6517247310896
Step-by-step explanation: Step by step simplification process to get cube roots radical form and derivative:First we will find all factors under the cube root: 448 has the cube factor of 16.Let's check this width ∛16*7=∛448. As you can see the radicals are not in their simplest form.Now extract and take out the cube root ∛16 * ∛7. Cube of ∛16=4 which results into 4∛7All radicals are now simplified. The radicand no longer has any cube factors.
Answer:

Step-by-step explanation:
(Assuming the correct angles are 30° and 45°)
We can use the tangent relation of the angle of elevation to find two equations, then we can use these equations to find the height of the pole.
Let's call the initial distance of the boy to the pole 'x'.
Then, with an angle of elevation of 30°, the opposite side to this angle is the height of the pole (let's call this 'h') minus the height of the boy, and the adjacent side to the angle is the distance x:

Then, with an angle of elevation of 45°, the opposite side to this angle is still the height of the pole minus the height of the boy, and the adjacent side to the angle is the distance x minus 10:

So rewriting both equations using the tangents values, we have that:


From the first equation, we have that:

Using this value of x in the second equation, we have that:





It could be 2,048 cause 4096 divided by 2 equals 4096
30.7 cm² (nearest tenth)
Step-by-step explanation:
Area of the wooden block = area of rectangle - area of semi-circle
Area of Rectangle = length × width
Length = 9 cm
Width = 4.5 cm
Area of rectangle = 40.5 cm²
Area of semi-circle = ½(πr²)
Radius (r) = ½ of diameter = ½*5 = 2.5 cm
π = 3.14
Area of semi-circle = ½(3.14*2.5²)
Area of semi-circle = 9.8125 cm²