Answer:
The equation is <u>sale price</u>=p and the original price is $41.09.
.70
Step-by-step explanation:
sale price= (1-.30)p
<u>sale price=.70</u>p
.70 .70
<u>sale price</u>=p
.70
<u>28.76</u>=p
.70
$41.09=p
Answer:
\sqrt{6}
Explanation:
From the given diagram,
Hypotenuse sde = x
Opposite side = \sqrt{3}
Using the SOH CAH TOA identity
Sintheta = opposite/hypotenuse
Sin 45 = \sqrt{3}/x
x = \sqrt{3}/sin45
![\begin{gathered} x\text{ =}\frac{\sqrt[]{3}}{\sin 45} \\ x\text{ = }\frac{\sqrt[]{3}}{\frac{1}{\sqrt[]{2}}} \\ x\text{ = }\sqrt[]{3^{}}\cdot\sqrt[]{2} \\ x\text{ =}\sqrt[]{6} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%5Ctext%7B%20%3D%7D%5Cfrac%7B%5Csqrt%5B%5D%7B3%7D%7D%7B%5Csin%2045%7D%20%5C%5C%20x%5Ctext%7B%20%3D%20%7D%5Cfrac%7B%5Csqrt%5B%5D%7B3%7D%7D%7B%5Cfrac%7B1%7D%7B%5Csqrt%5B%5D%7B2%7D%7D%7D%20%5C%5C%20x%5Ctext%7B%20%3D%20%7D%5Csqrt%5B%5D%7B3%5E%7B%7D%7D%5Ccdot%5Csqrt%5B%5D%7B2%7D%20%5C%5C%20x%5Ctext%7B%20%3D%7D%5Csqrt%5B%5D%7B6%7D%20%5Cend%7Bgathered%7D)
Hence the value of x is \sqrt{6}
Step-by-step explanation:


Note that


Therefore,

(3+11i)/(3+11i)=1
So that means you can multiply 6/(3+11i) by (3+11i)/(3+11i)
Then 6(3+11i)/1
= 18+66i
Answer:
22 centimeters
Step-by-step explanation:
<em>1. See how many centimeters are in a meter:</em>
There is 100 centimeters in one meter
<em>2. Multiply each number by 100 to convert the meters to centimeters </em>
0.98 x 100= 98
0.76 x 100 = 76
<em>3. Subtract to find the difference </em>
98 - 76 = 22
<u>Hence, the blue string is 22 centimeters longer than the yellow string.</u>
<u><em>have great night! :D</em></u>