Answer:
See below ~
Step-by-step explanation:
⇒ 65 = 65 + y (alternate exterior angles)
⇒ y = 0
⇒ 4(12x + 1) + 15 = 180 - 65 - y (Linear angles)
⇒ 48x + 4 = 100 - 0
⇒ 48x = 96
⇒ x = 2
⇒ 3(7z + 6) + 5(5z + 1) = 115 (Both the angles are equal "alt. ext. angles")
⇒ 21z + 18 + 25z + 5 = 115
⇒ 46z + 23 = 115
⇒ 46z = 92
⇒ z = 2
Answer: 9
Step-by-step explanation:
3-2x-3
2x-3=-6
3--6=3+6=9
Answer:
is an even function.
Step-by-step explanation:
Recall when it means when a function is even or odd. An even function has the following property:

And an odd function has the following property:

So, let's test some values for cos(x).
Let's use π/3:

From the unit circle, was can see that this is 1/2 (refer to the x-coordinate).
Now, let's find -π/3. This is the same as 5π/3. Thus:

And again from the unit circle, we can see that this is 1/2.
Therefore, despite the negative, the function outputs the same value.
Cosine is an even function.
Notes:
Cosine is an even function and sine is an odd function. It's helpful to remember these as they can help you solve some trig problems!
Answer:
approximately 10
Step-by-step explanation:
Volume = 1/3h times
times radius square
1570 = 1/3 x 15 x 22/7 x 
1570 = 5 times
times 
1570 = 15.71
= 
99.9 = r^2
= r
≅10
Answer:
Step-by-step explanation:
8 in × (1 ft)/(12 in) = ⅔ ft
36 ft × 58 ft × ⅔ ft = 1392 ft³
1392 ft³ × (1 yd³)/(27 ft³) ≅ 52 yd³
52 yd³ × $123/yd³ = $6396