Answer:
The surface area of the structure is 
Step-by-step explanation:
we know that
The surface area of a sphere is equal to

In this problem we have
-----The radius is half the diameter
substitute


Answer:

Step-by-step explanation:
we know that
To compute the required distance, using properties of triangles
Applying the Pythagoras Theorem
see the attached figure to better understand the problem

convert to expanded form


square root both sides

Convert to function notation

The first thing you have to do is find a way to make the last digit 6 (since its $56). So that would be $8×2=16, so there are 2 small notebooks. Then, she needs another $40 to get $56, so 40÷10=4, so she bought 4 large notebooks.
Answer: 2 small, 4 large
Answer:
The image of a translation, reflection, or rotation is congruent to the original figure, and the image of a dilation is similar to the original figure. Two figures are similar when one can be obtained from the other by a sequence of translations, reflections, rotations, and dilations.
Answer:
α = 143.13⁰
Step-by-step explanation:
Given;

α is determined as follows;
⇒find the arcsine of ³/₅

Therefore, the value of α that satisfies the given range value is 143.13⁰