Height of the trapezoids = sqrt (17^2 - 8^2) = 15cms
base = 19 cms
(b) area of each trapezoid = 15/2 (35 + 19) = 405 cm^2
Total area painted blue = 2*405 = 810 cm^2
(c) length of the edges of one trapezoid = 35 + 19 + 2(17) = 88 cms
So one piece of sandpaper ( can sand up to 80 cm) will not be enough to sand all of the edges.
Answer:
11.1 units
Step-by-step explanation:
We solve for this using the formula when using coordinates (x1 , y1) and (x2, y2)
= √(x2 - x1)² + (y2 - y1)²
A(5,2), B(5,4), and C(1,1).
For AB = √(x2 - x1)² + (y2 - y1)²
= A(5,2), B(5,4)
= √(5 - 5)² +(4 - 2)²
= √ 0² + 2²
= √4
= 2 units
For BC = √(x2 - x1)² + (y2 - y1)²
= B(5,4), C(1,1)
= √(1 - 5)² +(1 - 4)²
= √ -4² + -3²
= √16 + 9
= √25
= 5 units
For AC = √(x2 - x1)² + (y2 - y1)²
A(5,2), C(1,1)
= √(1 - 5)² + (1 - 2)²
= √-4² + -1²
= √16 + 1
= √17
= 4.1231056256 units
The Formula for the Perimeter of Triangle = Side AB + Side BC + Side AC
= 2 units + 5 units + 4.1231056256 units
= 11.1231056256 units.
Approximately the Perimeter of a Triangle to the nearest tenth = 11.1units
She makes 3 hats per 1 and 1/2 hours. Therefore she makes
hats per hour. This fraction simplified is 2 hats per hour. This is the solution.
2 hats per hour.
Answer:
1.) yes
2.) no
Step-by-step explanation:
1.) Yes
3x - 2y = 1
3(5) - 2(7) = 1
15 - 14 = 1
1 = 1
2.) No
2x + 8y = 26
2(-3) + 8(-4) = 26
-6 - 32 = 26
-38 ≠ 26
The equation above is the intercept form. Both a-term and b-term are the roots of equation.
These are the roots of equation. Therefore we substitute a = - 1/3 and b = 5 in the equation.
Here we can convert the expression x+1/3 to this.
Rewrite the equation.
Simplify by multiplying both expressions.
<u>Answer</u><u> </u><u>Check</u>
Substitute the given roots in the equation.
The equation is true for both roots.
<u>Answer</u>
