Answer:
Yes
No
Yes
and
Yes
Step-by-step explanation:
Sorry if im wrong Happy Holidays
Answer:
x = 20.1 degrees
Step-by-step explanation:
Use the inverse sine function to calculate the angle measure. While the sine function uses the opposite and hypotenuse's angle measures, the inverse sine uses the side lengths of the opposite and hypotenuse.
Using something like desmos, plug in arcsin(11/32) and make sure you have selected degrees instead of radians in the setting to get the correct output.
Note that Inverse sine , cosine, and tangent can be written like arcsin, arccos, arctan or sin^-1, cos^-1, tan^-1.
x= 20.1
Answer:
solid...(-3,0)(-4,-1)...shaded below the line
slope = (-1-0) / (-4-(-3) = -1/(-4 + 3) = -1/-1 = 1
y = mx + b
-1 = 1(-4) + b
-1 = -4 + b
-1 + 4 = b
3 = b
this line is : y < = x + 3 <== (thats less then or equal)
====================
solid...(1,1)(2,-1)...shaded below the line
slope = (-1-1) / (2-1) = -2/1 = -2
y = mx + b
1 = -2(1) + b
1 = -2 + b
1 + 2 = b
3 = b
Step-by-step explanation:
Answer: y = 16.5
Step-by-step explanation:
We would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Considering triangle BCD,
BD² = 14² - 8²
BD² ° 196 - 64 = 132
BD = √132
Considering triangle ABD,
AB² = BD² + y²
AB² = (√132)² + y²
AB² = 132 + y²- - - - - - - - - - 1
Considering triangle ABC,
(8 + y)² = AB² + BC²
(8 + y)² = AB² + 14²
(8 + y)² = AB² + 196
AB² = (8 + y)² - 196- - - - - - - -2
Substituting equation 1 into equation 2, it becomes
132 + y² = (8 + y)² - 196
y² - (8 + y)² = - 196 - 132
y² - (64 + 16y + y²) = - 328
y² - 64 - 16y - y2 = - 328
- 16y = - 328 + 64
- 16y = - 264
y = - 264/- 16
y = 16.5