$133.5 because 3% of 4450 is 133.5
Answer:
79 °F
Step-by-step explanation:
Newton’s Law of Cooling:
Data
- The initial temperature of a liquid is 160 °F
- The temperature in the room (c) is 76 °F
- Then a = 160 - 76 = 84 °F
Replacing into the equation:
y = 79 °F
1wd = 4ft
3 ft = 1 yd
1yd x 4=4 yd
4 yd = 12ft
4 wd x 4 = 16ft
Yes, 4 pieces of wood are longer than 4 yards by 4 ft or 1 1/3yd
solving proportions is simply a matter of stating the ratios as fractions, setting the two fractions equal to each other, cross-multiplying, and solving the resulting equation. You'll probably start out by just solving proportions, like this:
<span><span><span>Find the unknown value in the proportion: </span><span>2 : x = 3 : 9.</span></span><span>2<span> :</span> x = 3<span> :</span> 9</span>First, I convert the colon-based odds-notation ratios to fractional form:.Then I solve the proportion:<span>
</span><span>9(2) = </span><span>x(3)</span> <span>
1</span><span>8 = 3x</span><span>
</span><span>6 = x</span></span><span><span><span>Find the unknown value in the proportion: </span><span>(2x + 1) : 2 = (x + 2) : 5</span></span><span>(2x + 1)<span> :</span> 2 = (x + 2)<span> :</span> 5</span><span><span> ADVERTISEMENT</span><span> </span></span>First, I convert the colon-based odds-notation ratios to fractional form:Then I solve the proportion:<span>
</span><span>5(2x + 1) = 2(x + 2)</span><span>
</span><span>10x + 5 = 2x + 4</span><span>
</span><span>8x = –1</span><span>
</span><span>x = –1/<span>8</span></span></span>
Answer:
A. 13.31' to the nearest hundredth.
B. 86.52' to the nearest hundredth.
Step-by-step explanation:
Part A>
The apotherm of a regular polygon is the distance of the line segment from the centre of the polygon to the midpoint of a side.
2 radii of this decagon joined to the endpoints of a side form an isosceles triangle with equal sides = 14 cm.
The apotherm is the altitude of this triangle. The vertex of the triangle has an angle of 360 / 10 = 36 degrees and the apotherm bisects this angle.
So using trigonometry on the right triangle formed:
cos 18 = x / 14 where x is the apotherm.
x = 14 cos 18
= 13.31' (answer).
Part B.
Using trigonometry on the right triangle again:
sin 18 = x/2 / 14 (where x is the length of a side of the hexagon)
x/2 = 14 sin 18
x = 2 * 14 sin 18
= 8.652'.
As a decagon has 10 sides the perimeter = 8.652 * 10
= 86.52' to the nearest hundredth.
