Answer:
x = 30.91 cm , y = 29,86 cm and z = 39.30 cm.
Total area of wood = 2942.54 cm^2.
Step-by-step explanation:
sin 15 =8/x
x = 8 / sin 15
x = 30.91 cm.
and
tan 15 = 8/y
y = 8 / tan 15
= 29.86 cm.
The value of z can be found using the Pythagoras theorem:
50^2 = x^2 + z^2
z^2 = 20^2 - x^2 = 50^2 - 30.91^2
z^2 = 1554.57
z = √1554.57
= 39.30 cm.
b. The area consists of 3 rectangles :- 1. sides x and z 2. sides z and 8 and the other has sides z and y. Also 2 triangles of height 8 and base length y cm.
Total area = 30.91 * 39.30 + 8 * 39.30 + 29.86 * 39.30 + 2 * 0.5 * 8 * 29.86
= 2942.54 cm^2.
Distance= the square root of (x2-x1)^2 +(y2-y1)^2 so (-3-(-3))^2 + (23-(-11))^2= 0^2+34^2=
0+1156= 1156 and the square root of that is 34 so your final answer is 34
If the line that goes through (9, 6) is perpendicular to y = -1/3x + 7, then their slopes will be opposite reciprocals. The slope of the line given is -1/3. The opposite reciprocal of -1/3 is +3. If we have our new line passing through point with x coordinate 9 and y coordinate 6, we will use that x and y and the slope of 3 to solve the slope-intercept equation for b. Like this: 9 = 3(6) + b. 9 = 18 + b and b = -9. That means that the new equation, the one that is perpendicular to the given line, is y = 3x - 9.
Answer:
Step-by-step explanation:
Notation
We need some notation to make talking about sets easier. Consider,
A
=
{
1
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2
,
3
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.
Answer:
Alike
Step-by-step explanation:
3x(x+2) simplifies to 3x^2+6x
