Answer:
136 cm²
Step-by-step explanation:
I'm going to split the net into:
2x 7 cm by 2 cm rectangles
2x 6 cm by 7 cm rectangles
2x 6 cm by 2 cm rectangles
The 2x means there's 2 of them.
Let's find the area of the 2x 7 cm by 2 cm rectangles:
2*7*2=
4*7=
28 cm²
Let's find the area of the 2x 6 cm by 7 cm rectangles:
2*6*7=
2*42=
84 cm²
Let's find the area of the 2x 6 cm by 2 cm rectangles:
2*6*2=
12*2=
24 cm²
Adding all these areas together gives us the surface area of the net:
28+84+24=136 cm²
Answer:
Graph D
Step-by-step explanation:
Convert to y-intercept:
x + 2y = 2
2y = -x + 2
y = -1/2x + 1
Slope = -1/2 (1 down, 2 right)
y-intercept = + 1
Answer: This is false.
Step-by-step explanation:
The value of 8 in 5.18 is 8 Hundredths, the value of 8 in 5.81 is 8 Tenths.
Answer: y = -2x - 7
Step-by-step explanation:
The equation for a perpenducular line has a slope that is the negative inverse of the reference line, in this case x - 2y = 6.
Let's put this equation into standard slope-intercept form, y = mx+b, where m is the slope and b the y-intercept (the value of y when x is 0).
x - 2y = 6
- 2y = 6 - x
y = (1/2) x -3
The slope is (1/2), so a perpendicular line will have a slope of -2.
y = -2x + b
We can find b by using the given point ((-3,-1), a known solution):
-1 = -2*(-3) + b
-1 = 6 + b
b = -7
The perpendicular equation is y = -2x - 7
y = -2x
Answer:
20 < x < 38.
Step-by-step explanation:
An obtuse angle has a value between 90 and 180.
90 < 5x - 10 < 180
5x - 10 > 90
5x > 100.
x > 20.
5x - 10< 180
5x < 190
x < 38
