Answer:
9*√3
Step-by-step explanation:
The exact value of Sin60 = √3/2
Sin(60) = opposite side/ hypotenuse
hypotenuse = 18
√3/2 = x / hypotenuse
√3 / 2 = x / 18 multiply by 18
18 √3 /2 = x divide by 2
9 √3 = x
Answer:
2, sqrt of 7633
Step-by-step explanation:
for now, we'll leave the 3rd side as x
y using the Pythagorean theorem, we can conclude that (1) 48^2+x^2=73^2 or (2) 48^2+73^2=x^2.
1. If we conclude the x isn't the longest, the x would be 3025 which is the sqrt of 55, now is invalid because the 2 smallest sides can't be more than the longest side when they add up 55+48>73 so that is invalid
2. Then, it leaves us with only 1 choice left! concluding that the 3rd side is the longest. Which the answer is sqrt of 7633
We can find the value of PT from given information
PT = 4x - 6 and TQ = 3x + 4
if PT = TQ
4x - 6 = 3x + 4
4x - 3x = 4 + 6
x = 10
now put the value of x into PT = 4x - 6
PT = 4 (10) - 6
=40 - 6
PT = 34
The value of PT = 34
Answer:
2004-(-185)=2189
-185+469=284
Step-by-step explanation:
I double checked them
Answer:1077
Step-by-step explanation: