Answer:
47.3 m³
Step-by-step explanation:
The garden shed is made up of a rectangular prism and a pyramid.
<h3><u>Volume of a rectangular prism</u></h3>
<h3><u>Volume of a pyramid</u></h3>
<u />
From inspection of the given diagram, the slant height of the pyramid is 3.5 m.
Calculate the perpendicular height of the pyramid using Pythagoras Theorem:
Therefore:
<h3><u>Volume of the garden shed</u></h3>
A. federal, they rely on the income from local properties
Answer:
y = -2/3x + 3
Step-by-step explanation:
( -3, 5)
Parallel slope = -2/3
Slope-intercept:
y - y1 = m(x - x1)
y - 5 = -2/3(x + 3)
y - 5 = -2/3x - 2
y = -2/3x + 3
Answer:
80°
Step-by-step explanation:
The sum of the two angles (red and blue) is 145°, so you have ...
(4x +5)° +(6x -10)° = 145°
10x = 150 . . . . . . . . divide by °, add 5, simplify
x = 15 . . . . . . . . . . . divide by 10
Then the measure of the angle of interest is ...
m∠XMN = (6x -10)° = (6·15 -10)° = 80°
I believe this is a rotation through an angle of +90°, anticlockwise, (counterclockwise), with the center of rotation origin(0,0)
To describe rotation we give the center of rotation and the rotation angle in degrees stating whether it is clockwise or counterclockwise.