0.20a=220
Where 0.20 is the decimal form of 20%
a is the unknown number
0.20a=220
------- -----
0.20 0.20
a=1100
220 is 20% of 1100.
Answer:
B. 60.26°
Step-by-step explanation:
Given:
Consider the diagram representing the above scenario.
The top of the house where dad is standing is at A. The point where his son is standing is B. The bottom of the house is at C. AC is the height of house, BC is the distance between the house and son.
Height of the house (AC) = 21 ft
Distance between the house and son (BC) = 12 ft
Let the angle of depression for the dad be 'x'.
From the figure, it is clear that,
Angle of depression of the dad will be same as angle of elevation of Artie.
For triangle ABC,

Therefore, the angle of depression from the top of the house to the spot where Artie is standing is 60.26°.
Therefore, the correct option is option (B).
Answer:
<em>119.0 cm²</em>
Step-by-step explanation:
What is surface area
It is the area of the outside part of anything. Surface area is also called total surface area.
As we can see from the pyramid, it has a square base. How do I know that it is a square base, is by seeing the dimensions of the base, which are 6.4 cm by 6.4 cm in this pyramid. And we already know from basic Geometry that a square has 4 equal sides. So we call it a square pyramid.
So to find the total surface area of this square pyramid, we need the area of the 4 triangular faces and the area of the square base.
So t.s.a of the pyramid = 4 × Area of each triangular face + Area of the square base.
So, total surface area = Area of square base + Area of the four triangular faces.
<em>total surface area</em> = (<em>length²) + (</em>4 ×
× <em>base × height)</em>
<em> t</em><em>otal surface area =</em><em> </em>(6.4 × 6.4) + (4 ×
× 6.4 × 6.1)
<em>total surface area = 40.96 + 78.08</em>
<em> total surface area = 119.04 cm² ≈ 119.0 cm² (to the nearest tenth) (Answer)</em>
699,995
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