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:
2 2/5 inches
Step-by-step explanation:
3/5 x 4
3/5 x 4/1
3/5 x 4/1 = 12/5
12/5 = 2 2/5
Answer:
$4080
Step-by-step explanation:
We have the amount she will pay back, but first, we need to find the Interest accrued.
Simple Interest is given as:

where P = principal
R = rate
T = time taken (in years)
Therefore, the interest on $3,000 at 9% simple interest for 4 years is:

I = $1080
Therefore, the amount she will pay back is:
$3000 + $1080 = $4080
Since the distance of MN is 31 and we have a distance of ML
of h -15 and LN of 2h – 8, therefore
ML + LN = h -15 + 2h – 8 = 31
h = 18
substituting the value of h to the expression for LN
obtaining
LN = 2h – 8
LN = 2(18) – 8
LN = 28
Therefore the length of the segment LN is 28 units