Answer:
46°
Step-by-step explanation:
The exterior angle marked 69° is the sum of the remote interior angles 23° and x. So ...
69° = 23° +x
x = 69° -23°
x = 46°
Answer:
Answer:
A) The volume of figure 1 is 45 cm³ greater than the volume of figure 2
Step-by-step explanation:
Let's start by calculating the volumes of both figures
Figure 1
Rectangular prism
V = Bh
V = (15*6)(5)
V = (90)(5)
V = 450 cm³
Triangular prism
V = Bh
V = 1/2(3*15)(6)
V = 1/2(45)(6)
V = 1/2(270)
V = 135 cm³
Add them together, you get 585 cm³
Figure 2
Rectangular prism
V = Bh
V = (6*15)(5)
V = (90)(5)
V = 450 cm³
Rectangular pyramid
V = 1/3 Bh
V = 1/3 (15*6)(3)
V = 1/3 (90)(3)
V = 1/3 (270)
V = 90 cm³
Add them together, you get 540 cm³
Subtract 540 from 585 and get 45
This given problem asks for the y-intercept of the linear equation.
The first step we need to is to transform the original equation into its slope-intercept form, y = mx + b (where m = slope, and b = y-intercept).
3x = 5y - 6
Subtract 3x on both sides:
3x - 5y - 3x = - 3x - 6
-5y = - 3x - 6
Divide both sides by -5:
-5y/-5 = (- 3x - 6) / -5
y = 3/5x + 6/5 (This is the slope-intercept form).
To solve for the y-intercept of the line, we must set x = 0 (because the y-intercept is the value of y when x = 0). The coordinate of the y-intercept is (0, b).
y = 3/5x + 6/5
y = 3/5(0) + 6/5
y = 0 + 6/5
y = 6/5
Therefore, the y-coordinate of the point where ‘L’ cuts the y-axis is 6/5.
Answer: $115.50
Step-by-step explanation:
500.5-385 = x
one hour 55 min
you just need to subtract bout to get the answer