1/2 divided by 5/8
1/2 x 8/5= 8/10= 4/5
Hello!
The interior angles of every triangle add to equal 180 degrees. With that, you can add all angle expressions and set them to equal 180 to find x:
180 = 2x + 50 + x + 46 + 3x
180 = 6x + 96
84 = 6x
14 = x
Now, substitute 14 for x in each expression to find the value of each angle:
2x + 50 => 2(14) + 50 => 28 + 50 => 78
x + 46 => 14 + 46 => 60
3x => 3(14) => 42
Let's check our work:
180 ? 78 + 60 + 42
180 = 180 <--True
Angle A = 42 degrees
Angle B = 78 degrees
Angle C = 60 degrees
Hope this helps!
It would be C!!!!!!!!!!!!!!!
Answer:
A:
Step-by-step explanation:
***I'm pretty sure A should read "NO, because the test value 1.257 is less than the critical value 1.782. Please check the wording of the problem***
H0 : μ ≤ 400
Ha : μ > 400 (claim)
Sample mean: 6,155/13
Sample standard deviation: √44422.4359
Critical test value:
t > 1.782
t = (6,155/13 - 400)/[(√44422.4359)/√13] = 1.257
1.257 < 1.782 ; we fail to reject the null hypothesis
There is not enough evidence at the 5% level of significance to support the claim that the mean battery life is at least 400 hours.
Step-by-step explanation:
36A) AB = 4/ sin 30° = 4/ 0.5 = 8 cm
36B) AC = 4/ tan 30° = 4/ 0.577 = 6.9 cm
36C) BD = 4/sin 45° = 4/ 0.707 = 5.7 cm
36D) area of ∆ABC = ½×6.9×4= 13.8 cm²
36E) sin A = sin 30° = 0.5
