Answer:60
Step-by-step explanation:
Pythagorean's theorem gives us 100^2-80^2=b^2
Simplifying this we get:
10000-6400=b^2
3600=b^2
b=60
Answer: 16/35, decimal form: 0.45
Step-by-step explanation: (3/5-1/7) =3/5-1/7=3/5+-1/7=21/35+-(5)/35= 21 +(-5)/35= <em><u>16/35, decimal form: 0.45</u></em>
<span>The answers to this problem are:<span>(<span>±5</span></span>√3/8,±5/8)<span>Here is the solution:
Step 1: <span><span><span>x2</span>+<span>y2</span>=<span>2516</span>[2]</span><span><span>x2</span>+<span>y2</span>=<span>2516</span>[2]</span></span>
Step 2: Substitute:<span>
</span><span><span>8<span><span>(<span>25/16</span>)^</span>2</span>=25(<span>x^2</span>−<span>y^2</span>)
</span><span>8<span><span>(<span>25/16</span>)^</span>2</span>=25(<span>x^2</span>−<span>y^2</span>)</span></span>
</span><span>x^2</span>−<span>y^2</span>=<span>25/32</span><span>.
Add [2] and [3]:<span>
</span><span>2<span>x^2</span>=<span>75/32
</span><span>x^2</span>=<span>75/74</span></span>
<span>x=±5</span></span>√3/8<span>
Substitute into [2]:<span>
</span><span><span>75/64</span>+<span>y^2</span>=<span>50/32
</span><span>y^2</span>=<span>25/64</span></span>
<span>y=±<span>5/8</span></span>
</span>
</span>
Answer:
She had 15 minutes left.
Step-by-step explanation:
30 - 11 = 19
19 - 4 = <em>15</em>
