Answer:
93° (to the nearest degree)
Step-by-step explanation:
sum of the interior angles of a triangle = 180°
Find angle C first, then subtract angle C and angle B from 180° to find angle A.
Use the sine rule to find angle C:
Therefore,
angle C = 48.80523914...°
Angle A = 180 - 38 - 48.80523914...°
= 93.19476086..°
= 93° (to the nearest degree)
Answer:
<u> There is no point where x = 3.5</u>
Step-by-step explanation:
Given the inequality
5x – 3 > 14.5
We are to find the range of all values of x
Add 3 to both sides of the equation;
5x - 3 + 3 > 14.5+ 3
5x > 17.5
x > 17.5/5
x > 3.5
Also for the inequality;
Cross multiply;
Subtract from both sides;
The solution to both inequalities are x > 3.5 and x < 3.5. <u>Since there is no point where x = 3.5</u>, hence the solution will have solution on all real numbers except at x = 3.5
Answer:
2 / 9
Step-by-step explanation:
From the spinner :
Number of reds = 1
Total number of colors = 3
P(not red) = Probability of not spinning red, = 1 - p(red) = 1 - 1/3 = 2/3
P(flipping tail) = a coin flip, P(tail) = 1/2
P(not even) = probability of not obtaining an even number) = 1 - p(obtaining an even number)
(1, 2, 3) ; not even = (1, 3)
P(not even) = 2 /3
Compound probability = 2/3 * 1/2 * 2/3 = 4 / 18 = 2 /9
