Answer:
use the laws of sines
Step-by-step explanation:
is you use those you literally good to go .
The given trinagle is a right angle triangle. let the missing side be x. To find x, we would apply the pythagorean theorem which is expressed as
hypotenuse^2 = one leg^2 + other leg^2
From the triangle,
hypotenuse = 14
one leg = 9
other leg = x
Thus, we have
![\begin{gathered} 14^2=9^2+x^2 \\ 196=81+x^2 \\ x^2\text{ = 196 - 81 = 115} \\ x\text{ = }\sqrt[]{115} \\ x\text{ = 10.72} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%2014%5E2%3D9%5E2%2Bx%5E2%20%5C%5C%20196%3D81%2Bx%5E2%20%5C%5C%20x%5E2%5Ctext%7B%20%3D%20196%20-%2081%20%3D%20115%7D%20%5C%5C%20x%5Ctext%7B%20%3D%20%7D%5Csqrt%5B%5D%7B115%7D%20%5C%5C%20x%5Ctext%7B%20%3D%2010.72%7D%20%5Cend%7Bgathered%7D)
To the nearest tenth, the length of the third side is 10.7
After 10 weeks, the boys will have same amount in savings.
Step-by-step explanation:
Given,
Roberto already have $30.
Amount saved each week = $5
Let,
x be the number of weeks.
R(x) = 30+5x
Amount saved by Jack each week = $8
J(x) = 8x
For same amount, the functions will be equal.
R(x) = J(x)

Dividing both sides by 3

After 10 weeks, the boys will have same amount in savings.
Keywords: functions, division
Learn more about functions at:
#LearnwithBrainly
Answer:
2nd option
Step-by-step explanation:
r + 1 = 23 ( subtract 1 from both sides )
r = 22 ( multiply both sides by 3 to clear the fraction )
r = 66 ( divide both sides by
)
r =
×
( rationalising the denominator )
r =
= 33
The standard deviation is the square root of the variance
so if the variance is 196, then the standard deviation is the sqrt of 196, which is 14