It would be 7.45 since the -3.05 and the -9.5 together would equal -12.55 which subtracted from 20 would equal 7.45
Answer:
Jacklyn is wrong because

Step-by-step explanation:
We have that :Jaclyn estimates that the square root of 50 in the following way:



Jacklyn is wrong because she made an error at

The correct expression is

This gives:


Answer:
1/6
Step-by-step explanation:
this is because when u divide the numerator and denominator by 5 you get 1/6
Answer:
Angle x would be 87 degrees.
Step-by-step explanation:
Angles inside of a triangle add up to 180 degrees. So 51+42=93 and if you subtract 93 from 180, you get 87.
See the attached image for the drawings of the 45-45-90 triangle and the 30-60-90 triangle.
----------------------------------------------
For the 45-45-90 triangle, the two legs are both 3 while the hypotenuse is unknown. Call it x for now.
Using trig we can say
sin(angle) = opposite/hypotenuse
sin(A) = BC/AC
sin(45) = 3/x
sqrt(2)/2 = 3/x
sqrt(2)*x = 2*3
sqrt(2)*x = 6
x = 6/sqrt(2)
x = (6/sqrt(2))*(sqrt(2)/sqrt(2))
x = (6*sqrt(2)/(sqrt(2)*sqrt(2))
x = (6*sqrt(2)/(2)
x = 3*sqrt(2)where "sqrt" is shorthand for "square root"
----------------------------------------------
For the 30-60-90 triangle, we can say
cos(angle) = adjacent/hypotenuse
cos(D) = DE/FD
cos(60) = 4/y
1/2 = 4/y
1*y = 4*2
y = 8and we can also say
sin(angle) = opposite/hypotenuse
sin(D) = EF/FD
sin(60) = z/y
sin(60) = z/8
8*sin(60) = z
z = 8*sin(60)
z = 8*sqrt(3)/2
z = (8/2)*sqrt(3)
z = 4*sqrt(3)