Answer:
x=55
a=11.47
Step-by-step explanation:
To find x we add all the angles in the triangle. The three angles in a triangle add to 180 degrees
35+x+90 = 180
Combine like terms
125+x=180
Subtract 125 from each side
125-125+x=180-125
x= 55
To find a
sin 35 = opposite side/ hypotenuse
sin 35 =a/20
Multiply each side by 20
20sin35 =a
11.47152873 =a
Answer:
13
Step-by-step explanation:
Median of a trapezoid = sum of 2 bases divided by 2
Bases = 10 and 16
Median = (10 + 16)/2
10 + 16 = 26
26/2 = 13
Median = 13
Answer: 90% confidence interval would be (0.448, 0.552).
Step-by-step explanation:
Since we have given that
x = 125
n = 250
So, 
We need to find the 90% confidence interval.
so, z = 1.64
So, interval would be
Hence, 90% confidence interval would be (0.448, 0.552)
Answer:
x is 46.67
y is 28.4°
Step-by-step explanation:
To solve for x we use sine
sin ∅ = opposite / hypotenuse
AC is the opposite
x is the hypotenuse
so we have
sin 59° = 40 / x
x sin 59 = 40
Divide both sides by sin 59
x = 40/sin 59
x = 46.67
To solve for y we also use sine
sin y = 30/ 63
y = sin^-1(30/63)
y = 28.4°
Hope this helps you
Answer:
8.4 inches
Step-by-step explanation:
You divide 1 3/4 by 2 1/2 then multiply by 12
