Answer:
412.3 feet
Step-by-step explanation:
A canoe rental shop is being built near a river. An equation of the line representing the river is y=1/4x+8. Each unit in the coordinate plane corresponds to 100 feet. Approximately how far is the canoe rental shop from the river? Round your answer to the nearest whole foot. The rental shop is at (-3,3).
Solution:
The distance between a point and a line is the perpendicular distance. The perpendicular distance is the shortest distance between the point and the line.
Given a point () and a line with the equation Ax + By + C = 0, the perpendicular distance (d) is given as:
Given the equation of the line y = 1/4 x + 8
y - 1/4 x - 8 = 0
Therefore A = -1/4, B = 1 and C = -8
The point is (-3,3), therefore
36: 1,2,3,<span> 4,6,9,12,18,36
48: 1,2,3,4,6,8,12,16,24,48</span>
A quadrilateral simply means a shape that has 4 straight sides. Imagine a square or rectangle - they are both quadrilaterals.
Answer:
12 and 1/4
Step-by-step explanation:
This is a fairly simply problem all you have to do is all all the fractions given. So we get the equation 4/8 + 5/8 + 5/8 + 1 1/8 + 1 1/8 + 1 4/8 + 1 4/8 + 1 4/8 + 1 6/8 + 2. This makes the equations easy since all the denominators are the same. First we must make all the fractions improper fractions. This will make the equation 4/8 + 5/8 + 5/8 + 9/8 + 9/8 + 12/8 +12/8 + 12/8 + 14/8 + 16/8. Then we can add all the values together and we get 98/8 which simplifies to 12 2/8 which further simplifies to 12 and 1/4.
Answer:
The circumference of the circle is about <u>166.42 </u>cm.
The area of the circle is about <u>2205.07 </u>cm².
Step-by-step explanation:
Diameter = 53 cm
Radius = r = 53cm/2 = 26.5 cm
π = 3.14
Circumference = C = 2 π r
C = 2(3.14)(26.5cm) = 166.42cm
The circumference of the circle is about 166.42cm.
Area = A = π r²
A = (3.14)(26.5cm)² = 2205.07 cm²
The area of the circle is about 2205.07 cm².