I think the answer is 61 dont quote me on it im awful at math
Answer:
25. If you look at angle B from the first figure you see a square that indicates a 90 degrees angle, thus the figure shown is a right triangle. You can also see that angle C is said to have 60 degrees. a right triangle has a total angle of 180 degrees. so, 180 - 90 - 60 = 30 degrees. Therefore, angle A is 30 degrees.
27. Now you want the measure of the hypotenuse, and you know this a right triangle. so, simply use the law of sines to find the measure of AC :
4cm/sin(60) = AC/Sin90
AC = 4.62 cm
29. angle z is in the other figure and same stuff, just substract the angles, you have 90 degrees and 30 degrees... 180 - 90 - 30 = 60 degrees
31. Angle Y = 90 degrees
this value is already given, it's the little square that indicates a 90 degrees angle.
26. 5 cm
28. 90 degrees
30. You already found AC, use the pythagorean theorem. sqrt((4.62)^2 - 4^2) = 2.31 cm
32. use pythagoras again, square root(5^2 - 3^2) = 4
So as you can see all the measurements are the same because if you see at the very top of your figures it says ABC = XYZ which means pretty much that they have the same values (notice that there is a little something added to the = sign, watch out for that because that's what indicates that two figures are equal in terms of angles and measures.
Answer:
1) 102
2) 62
Step-by-step explanation:
12 + 5 + 3² × 10 - 5
12 + 5 + 9 × 10 - 5
12 + 5 + 90 - 5
17 + 90 - 5
107 - 5
102
(12+5) + 3² × (10 - 5)
(17) + 9 × (5)
17 + 45
62
First solve for theta in 'x' equation:
Substitute into 'y' equation:
Simplify by rewriting cos in terms of sine.
Using pythagorean identity:
Simplify using inverse function property:
Answer:
Yes.
Step-by-step explanation:
It is a function because it passes the vertical line test. Each x-value has just one y-value. If the relation had any x-values that had several y-values, it would just be a relation. But this one is a function.
Hope this helps!