Answer:
<
Step-by-step explanation:
-7.56 < -5.76
Answer:
13 and 10
Step-by-step explanation:
Evaluating the tangent function for the two values we obtain the following:
tan 135=tan(135+180)=tan 315=-1
next:
tan -135=tan(180-135)=tan 45=1
thus comparing the two we see that tan 135 is negative while tan -135 is positive
Step-by-step explanation:
<u>Proof:</u>
<em>2</em><em> </em><em>(</em><em> </em><em>x </em><em>-</em><em> </em><em>9</em><em>)</em><em> </em><em>=</em><em> </em><em>-</em><em> </em><em>1</em><em>0</em><em> </em><em> </em><em>when </em><em>x </em><em>=</em><em> </em><em>4</em>
<em>2</em><em> </em><em>(</em><em> </em><em>4</em><em> </em><em>-</em><em> </em><em>9</em><em>)</em><em> </em><em>=</em><em> </em><em>-</em><em>1</em><em>0</em>
<em>8</em><em> </em><em>-</em><em> </em><em>1</em><em>8</em><em> </em><em>=</em><em> </em><em>-</em><em>1</em><em>0</em>
<em><u>-</u></em><em><u>1</u></em><em><u>0</u></em><em><u> </u></em><em><u>=</u></em><em><u> </u></em><em><u> </u></em><em><u>-</u></em><em><u>1</u></em><em><u>0</u></em><em><u> </u></em>..........hence proven
<u>Reasons </u>
- When you replace X with 4, you can clearly see that the equation is equal to -10.
sorry I couldn't answer accurately, but I hope this helps
Answer:
7 1/17
Step-by-step explanation:
A figure can be helpful.
The inscribed semicircle has its center at the midpoint of th base. It is tangent to the side of the isosceles triangle, so a radius makes a 90° angle there.
The long side of the isosceles triangle can be found from the Pythagorean theorem to be ...
BC² = BD² +CD²
BC² = 8² +15² = 289
BC = √289 = 17
The radius mentioned (DE) creates right triangles that are similar to ∆BCD. In particular, we have ...
(long side)/(hypotenuse) = DE/BD = CD/BC
DE = BD·CD/BC = 8·15/17
DE = 7 1/17 ≈ 7.059
