Answer:
m = -2
Step-by-step explanation:
Let (x1 , y1 ) = ( 3 , 8) and (x2 , y2 ) = ( 2 , 10)
Now
slope (m)
= y2 - 1 / x2 - x1
= 10 - 8 / 2-3
= - 2
hope it helps :)
It’s phrased very weird, but I believe I have it figured out.
On the map, there distance of the race is 41.9 inches.
So, (41.9)(400) = 16760 feet
Answer:
B = 61°
A = 29°
a = 10
Step-by-step explanation:
We are given;
c = 16, b = 14
Since we are told that C is a right angle, it means that C = 90°
Thus using sine rule, we have;
c/sin C = b/sin B
16/sin 90 = 14/sin B
16/1 = 14/sin B
sin B = 14/16
sin B = 0.875
B = sin^(-1) 0.875
B ≈ 61°
Now, since C is a right angle, it means that c will be the hypotenuse of the triangle.
Thus, from pythagoras theorem, If the other side of the triangle is a, then;
a² + b² = c²
a² + 14² = 16²
a² = 16² - 14²
a² = 256 - 156
a² = 100
a = √100
a = 10
Since we know B and C, we can find A because sum of angles in a triangle is 180°.
Thus;
A = 180 - (B + C)
A = 180 - (61 + 90)
A = 29°
Answer:
Hence the number of pages read by Lonnie is 16 pages when they read a combined of 36 pages.
Step-by-step explanation:
The table that can be formed by the rate at which they study the number of pages of a book is:
Fred Lonnie total
5 4 9
10 8 18
15 12 27
20 16 36
That means when they read a combined of 36 pages.
Then the number of pages read by Fred is 20 pages.
and the number of pages read by Lonnie is 16 pages.
(
Also it could be done as :
Let Fred reads 'x' pages.
so, the number of pages read by Lonnie is: (4/5)x
Hence,
x+(4/5)x=36
on solving this linear equation we have:
x=20
and (4/5)x=16
)
Hence the number of pages read by Lonnie is 16 pages when they read a combined of 36 pages.
