Answer:
x=6
UV=40
WV=40
UW=30
Step-by-step explanation:
GIVEN UV=WV
6X+4=40
X=6
NOW PUT X=6 in WV AND UW
Answer:
430p
Step-by-step explanation:
For this, we'll find the least common multiple for 15 and 18.
=> The least common multiple for 15 and 18 is 90
<u><em>Plastic Knives:</em></u>
Jace will buy 90 knives.
=> Packets = 90/18 = 5 Packets
Money for 5 Packets = 5 * 45
=> 225p
<u><em>Plastic Forks:</em></u>
Jace will buy 90 forks also.
=> Packets = 90/15 = 6 Packets
Money fro 6 packets = 6 * 41
=> 205p
<u><em>Least Amount of Money Jace will spend</em></u> = 225p+205p
=> 430p
The decimal form is x=1.2 and the mixed number is x= 1 1/5
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}
