Angie has a total of 6.5 yards of ribbon. Her goal is to take advantage over it by making a wreath. Each wreath has length of 1 1/3 yards.
In order for us to know how many wreath will be made, we'll divide the fraction to the total length of the ribbon.
= 6.5 / 1 1/3
= 6 1/2 / 4/3
= 13/2 * 3/4
= 39 / 8
= 4.875
So, there are 4 bows or wreath can be made.
Answer:
Final Answer: 59
Step-by-step explanation:
180- 62= 118
118 / 2= 59
so both angles would be 59
To find the linear equation, use the slope formula y = mx+b, where b is the value of the y-intercept and m is rise/run.
The line rises 1 unit and runs (left to right) -5 units. (you could also say the line runs -1 units and runs 5 units, they will both give the same answer). Rise/run, 1/-5 = -1/5.
The y-intercept is the y value where the line touches the y-axis. In this case, it is +1.
Plug the information into the equation. m = -1/5 and y = 1. y = -1/5x + 1
Answer:
Option B, 187.5 cm³
Step-by-step explanation:
Volume of the triangular prism,
base area × height
= (10×7.5/2)×5
= 187.5 cm³
Answer:
Step-by-step explanation:
Standard form of a circle is given by,
(x - a)² + (y - b)² = r²
Here, (a, b) is the center and 'r' is the radius of the circle.
For a circle having center (8, -4) and radius r = 1
Equation of the circle will be,
(x - 8)² + (y + 4)² = 1²
(x - 8)² + (y + 4)² = 1
Option (1) is the answer.
Question (2)
Circle with the center (-1, 0) and a point (2, -4) on it,
Radius of the circle = Distance between the center and the given point on circumference
= 
= 
= 
= 5
Therefore, equation of the circle will be,
(x + 1)² + (y - 0)² = 5²
(x + 1)² + y² = 25