In this particular question, you just need to multiply the number of tanks with the number of fish each tanks able to contain.
So, 7 x 40 = 280 fishes
Triangle PQR is isosceles. It's a unique side-angle-side triangle (both PQ and QR are congruent), so the other two angles in it are congruent and have the same measure. The interior angles of any triangle sum to 180° in measure, so
64° + <em>m</em>∠QPR + <em>m</em>∠PRQ = 180°
2 <em>m</em>∠QPR = 116°
<em>m</em>∠QPR = 58°
Angles PRQ and TRS form a vertical pair, so they are also congruent and <em>m</em>∠TRS = 58°.
This in turn means triangle RST is isosceles (again due to the side-angle-side postulate) so that angles RST and RTS have the same measure. Then
58° + <em>m</em>∠RST + <em>m</em>∠RTS = 180°
2 <em>m</em>∠RST = 122°
<em>m</em>∠RST = 61°
making the answer B.
Since you did not include the figure with the circle to which you have to compare the equations, I am going to determine the center and radius of the circles represented by each of the equations.
From that, you choose that whose center is the same of your circle and the radius is the double.
The canonic equation of a circle is:
(x - a)² + (y - b)² = r²
Where a and b are the coordinates of the center (a,b) and r is the radius.
So, let's determine the center and the radius of all the equations given:
<span> A) (x – 4)² + (y – 6)² = 4
</span><span>
</span><span>
</span><span>Center (4,6),;radius = √4 = 2
</span><span>
</span><span>
</span><span>B) (x – 4)² + (y – 6)² = 16
</span><span>
</span><span>
</span><span>Center (4, 6); radius = √16 = 4
</span><span>
</span>
<span>C) (x – 6)² + (y – 4)² = 16
</span><span>
</span><span>
</span><span>Center = (6, 4); radius = √16 = 4
</span><span>
</span><span>
</span><span>D) (x – 6)² + (y – 4)² = 4
</span>
Center (6, 4); radius = √4 = 2
Answer:
12/25
Step-by-step explanation:
Change the decimal to fraction form. Move the decimal point to the right two place values and set over 100:
0.48 = 48/100
Note that you must simplify. Divide common factors from both the numerator and denominator:
(48/100)/(4/4) = 12/25
12/25 is your simplest form fraction.
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