Answer:
Step-by-step explanation:
Slope intercept form: y = mx + b
Find slope:
m = (y₂ - y₁) / (x₂ - x₁)
= (-5 - (-4)) / (0 - 4)
= -1 / -4
= 1/4
Find y intercept using anyone of the given points and slope from above:
y = mx + b
b = -5
Now use the above slope and y intercept to create equation of a line:
88 minutes (1 hour and 28 mins)
Since 5 miles takes 40 minutes, multiplying both numbers by 2 gets you to 10 miles in 80 minutes. To get the extra 1 more miles you have to find the unit rate
5 miles in 40 minutes : divided both numbers by 5 to get
1 mile in 8 minutes
add the one mile in 8 minutes to the 10 miles in 80 mins and you get 11 miles in 88 minutes
Step-by-step explanation:
the circumference of a circle is
C = 2×pi×r
with r being the radius.
the square side length is 22 cm. so, the circumference or perimeter of the square (and therefore the length of the wire) is
4×22 = 88 cm.
now, it is the same wire of the same length that is now forming a circle.
so, the circumference of the square is also the circumference of the circle.
therefore,
88 = 2×pi×r
44 = pi×r
r = 44/pi = 14.00563499... cm
so, rounded, radius = 14 cm.
Answer:
18 square units
Step-by-step explanation:
you multiply the base by the hight after graphing the square.
Answer:
Step-by-step explanation:
The smallest side of a triangle is formed by the smallest angle in the triangle.
To find the side opposite (formed by) the 20 degree angle, we can use the Law of Cosines. The Law of Cosines states that for any triangle, 
, where 
, 
, and 
are the three sides of the triangle and 
is the angle opposite to .
Let be the side opposite to the 20 degree angle.
Assign variables:
Substituting these variables, we get:
Therefore, the shortest side of this triangle is 3.5.
