Answer:
3(4+√2)
Step-by-step explanation:
Here we need to find the perimeter of the given figure. Here the given figure is made from a triangle and a square. The side lenght of the square is 3. We need to find the hypontenuse of the triangle in order to find Perimeter .
<u>•</u><u> </u><u>Using</u><u> </u><u>Pyth</u><u>agoras</u><u> Theorem</u><u> </u><u>:</u><u>-</u><u> </u>
⇒ h² = p² + b²
⇒ h² = 3² + 3²
⇒ h² = 9 + 9
⇒ h² = 18
⇒ h = √[ 9 × 2 ]
⇒ h = 3√2 .
Therefore the perimeter will be ,
⇒ P = 3√2 + 3 + 3 + 3 + 3
⇒ P = 3√2 + 12
⇒ P = 3( 4 + √2)
<h3><u>Hence</u><u> </u><u>the</u><u> </u><u>perim</u><u>eter</u><u> of</u><u> the</u><u> </u><u>figure</u><u> </u><u>is</u><u> </u><u>3</u><u>(</u><u>4</u><u>+</u><u>√</u><u>2</u><u>)</u><u> </u><u>.</u></h3>
Answer:
55.5 u^2
Step-by-step explanation:
Split the quadrilateral into 2 triangles. There are two ways to do this, but I'm only doing one of them.
On the 5-11 triangle, use the two of the lengths and plug them into the triangle area formula. (L x W)/2 = A
5-11 triangle area: 27.5
Do the same for the 7-8 triangle. Plug it into the same formula.
7-8 triangle area: 28
Add the two areas. 27.5 + 28 = 55.5
Answer:
m < 49/12
Step-by-step explanation:
The portion of the quadratic formula under the square root sign is the discriminant.
If the discriminant is > 0 then there are two real roots.
b² -4ac > 0
-----------------------------
7² - 4(3)m > 0
49 - 12m > 0
Subtract 49 from both sides
-12m > -49
Divide both sides by -12
(when multiplying or dividing by a negative the inequality must be reversed)
m < 49/12
The answer is c because it makes the most sense
