Answer:
Step-by-step explanation:
For obects already in motion, the distance travelled, s, is:
s = vi*t + (1/2)at^2
where vi is the initial velocity, a is the acceleration, and t is the time in seconds.
We want the time, t, to reach 1000 meters.
1000 m = (3 m/s)*t + (1/2)*(0.1m/s^2)*(t^2)
(1/2)*(0.1m/s^2)*(t^2) = 0.05t^2
0.05t^2 + 3t -1000 = 0
Solve quadratic equation:
t = 114.6 seconds
Answer:
D) 16 square units
Step-by-step explanation:
The base can be considered to be the line x=-3. The extent of the triangle along that line is from y=-4 to y=4, so is 8 units.
The "height" of the triangle can be considered to be the distance from the vertex at x=-7 to the line at x=-3, so is 4 units.
The area of the triangle is half the product of these measures:
A = (1/2)bh = (1/2)(8 units)(4 units) = 16 square units
King Harold + Queen Lilian = Fiona
Answer:
<u><em>A. 4 cups of water are added to a mixture. Then 4 cups of flour are
</em></u>
<u><em>added.</em></u>
Step-by-step explanation:
<em>While all the rest have a positive and negative factor, answer a has 2 positives.</em>
1. You must apply the following formula:
LA=<span>1/2 ×(Perimeter of the base)(Slant length)</span>
<span>
</span>
<span> 2. The slant length is (By </span><span> the
Pythagorean Theorem):</span>
<span> a</span><span>^2=b^2+c^2</span>
<span> </span><span>a= b^2+c^2</span>
<span> a</span><span>=</span><span>√(</span><span>1^2+3^2)</span>
<span> </span><span>a=√10</span>
<span>
</span>
<span> 3. </span><span>The p</span><span>erimeter of the base is:</span>
<span>
</span>
<span> </span><span>P=2+2+2+2</span>
<span> </span><span>P=8</span>
<span>
</span>
<span> 4. </span><span>Then, you have:</span>
<span>
</span>
<span> LA=</span><span>1/2 ×(Perimeter of the base)(Slant Length)</span>
<span> LA=</span><span>1/2 ×(8)(</span><span>√</span><span>10)</span>
<span> LA=</span><span>(</span><span>8√10)/2</span>
<span> LA=</span><span>4√10</span>