<span>This problem is an
example of ratio and proportion. A ratio is a comparison between two different
things. You are given the equivalent distance of a 1 2/5
kilometers to 1 mile. Also you are given 4 miles. You are required to find the distance
in kilometers of 4 miles. The solution of this problem is,</span>
1 2/5
kilometers /1 mile = distance/ 4 miles
distance = (4
miles) (1 2/5 kilometers /1 mile)
<u>distance =
28/5 or 5.6 kilometers</u>
<u>There are 5.6
kilometers in 4 miles.</u>
Answer:
D) 57.5°
Step-by-step explanation:
As the question is not complete. So, let's suppose it is a right angle triangle then, we can apply Pythagoras theorem to calculate the hypotenuse or the third side.
Pythagoras Theorem = 
= 
a = 7 and b = 11
= 49
= 121
Plugging in the values, we will get:
= 49 + 121
= 170
c = 
To calculate the unknown angle B, we can use law of sine.
Law of sine = 
= 
= 
So,
=
= 
Sin90 = 1
sinB = 
B = 
()
B = 57.5°
Answer:
- slope: 1
- equation: y = x +3
Step-by-step explanation:
The slope of the line between two points can be found using the slope formula:
m = (y2 -y1)/(x2 -x1)
m = (2 -0)/(-1 -(-3)) = 2/2
m = 1 . . . . . the slope of the line is 1
__
The value of the y-intercept can be found by solving the slope-intercept equation for b.
y = mx +b
b = y -mx
b = (0) -(1)(-3) = 3 . . . . . using point (x, y) = (-3, 0)
The equation of the line with slope 1 and y-intercept 3 can be written as ...
y = x +3
Answer:
Harry = 10 toys
Mark = 20 toys
Sue = 20 toys
Step-by-step explanation:
H + M + S = 50
H = M - 10
S = 2H
Harry = 10 toys
Mark = 20 toys
Sue = 20 toys
