The second one is the answer because you have to start with 180 first meaning you rotate 180 and reflect which is rx .hope this helps
Answer:
You would use tan(theta) = 7/5 to find the angle measure
Answer:
a = -5
b = -1
m = -1
Step-by-step explanation:
Piecewise function:
f(x)= -5, x=0
f(x)= −x^2+3x+a, 0<x<2
f(x)= mx + b 2≤x≤3
The mean value theorem is applicable if f(x) is continuous on the entire closed interval [0;3] and differentiable on the entire closed interval [0;3].
To satisfied that at x = 0
:
−x^2+3x+a = -5
Then, a = -5
Derivative of −x^2+3x-5 is -2x + 3 and derivative of mx + b is m, at x = 2:
-2(2) + 3 = m
-1 = m
Replacing the functions at x = 2
:
−x^2+3x-5 = -x + b
−(2)^2+3*2-5 = -2 + b
-3 + 2 = b
-1 = b
Answer:
470 cm³
Step-by-step explanation:
Decompose the prism into two rectangular prism.
Prism 1 will have the following dimensions and volume:
Length = 10 cm
Height = 8 cm
Width = 9 - 5 = 4 cm
Volume = L × W × H
Volume = 10 × 8 × 4 = 320 cm³
Prism 2:
Length = 10 cm
Height = 3 cm
Width = 5 cm
Volume = 10 × 3 × 5 = 150 cm³
✔️Volume of the entire prism = 320 + 150 = 470 cm³
Answer:
272
Step-by-step explanation:
The formula is 2(LxW) + 2(LxH) + 2(WxH)
2(16 x 4) = 128
2(16 x 4) = 128
2(4 x 4) = 16
16 + 128 + 128 = 272
