Answer:
The Fringe of the rug is 754 cm.
Step-by-step explanation:
Given:
radius = 120 cm
We need to find the fringe of the outside rug.
Solution:
Since the rug is in the circular form.
We can say that fringe of the outside edge of the rug can be equal to circumference of the circle.
Then we will find the Circumference of the circle.
Circumference of the circle is given 2 times 'π' times radius 'r'.
framing in equation form we get;
Circumference of the circle = 
Circumference of the circle = 
Hence the Fringe of the rug is 754 cm.
Equation 1 :
| 5x - 6 | = -41.....no solution because an absolute vlue cannot equal a negative number
equation 2 :
| 7x + 13 | = 27...2 solutions
C. equation 2 has more solutions then equation 1.
Answer:
∠1 = 50°
∠2 = ∠3 = 130°
Step-by-step explanation:
In an isosceles trapezoid, such as this one, the angles at either end of a base are congruent:
∠1 ≅ 50°
∠2 ≅ ∠3
The theorems applicable to transversals and parallel lines also apply to the sides joining the parallel bases. In particular, "consecutive interior angles are supplementary." That is, angles 1 and 2 are supplementary, for example.
∠2 = 180° -∠1 = 180° -50° = 130°
We already know angle 3 is congruent to this.
∠1 = 50°
∠2 = ∠3 = 130°
_____
<em>Additional comment</em>
It can be easier to see the congruence of the base angles if you remove the length of the shorter base from both bases. This collapses the figure to an isosceles triangle and makes it obvious that the base angles are congruent.
Alternatively, you can drop an altitude to the longer base from each end of the shorter base. That will create two congruent right triangles at either end of the figure. Those will have congruent corresponding angles.
Answer:
The expression provided by the area (square meters) is given by: 
.
Step-by-step explanation:
The area of the algae colony is a function of the radius r (meters), so 
.
The radius of the circle formed by the algae colony is a function of time t (in minutes), so 
. So,
[Substituting the expression for radius]
Then the expression provided by the area (square meters) is given by: .
Answer: 400 square feet
Step-by-step explanation: One gallon can of paint will cover up to 400 square feet, which is enough to cover a small room like a bathroom. Two gallon cans of paint cover up to 800 square feet, which is enough to cover an average size room
