Ruby conducted a survey and found that 5/6 of her classmates have a pet and 2/3 of those pets are dogs. what fraction of her cla
1 answer:
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Answer:
<u>First figure:</u>
<u>Second figure:</u>
<u>Third figure:</u>
- Height= q
- Side length = r
<u>Fourth figure: </u>
Explanation:
<u></u>
<u>A. First figure:</u>
<u>1. Formula:</u>
<u>2. Data:</u>
- radius = 9cm / 2 = 4.5cm
- length = 15 cm
<u>3. Substitute in the formula and compute:</u>
<u>B. Second figure</u>
<u>1. Formula: </u>
<u>2. Data:</u>
- radius = 12yd
- height = 40 yd
<u>3. Substitute and compute:</u>
<u></u>
<u>C) Third figure</u>
a) The<em> height </em>is the segment that goes vertically upward from the center of the <em>base</em> to the apex of the pyramid, i.e.<u> </u><u>q </u>.
The apex is the point where the three leaned edges intersect each other.
b) The side length is the measure of the edge of the base, i.e.<u> r </u><u> </u>.
When the base of the pyramid is a square the four edges of the base have the same side length.
<u>D) Fourth figure</u>
<u>1. Formula</u>
The volume of a square pyramide is one third the product of the area of the base (B) and the height H).
<u>2. Data: </u>
- height: H = 18cm
- side length of the base: 11 cm
<u>3. Calculations</u>
a) <u>Calculate the area of the base</u>.
The base is a square of side length equal to 11 cm:
b) <u>Volume of the pyramid</u>:
Given :
A particle moves in the xy plane starting from time = 0 second and position (1m, 2m) with a velocity of v=2i-4tj .
To Find :
A. The vector position of the particle at any time t .
B. The acceleration of the particle at any time t .
Solution :
A )
Position of vector v is given by :
B )
Acceleration a is given by :
Hence , this is the required solution .