Answer:
Step-by-step explanation:
Given:
Solving for g and d we get,
Now taking LCM for all we get,
Answer:
North Route is 20 miles, and South Route is 25 miles.
Step-by-step explanation:
Let the length of the North route be represented by x and that of the South route be represented by y.
On Monday,
8x + 10y = 410
On Tuesday,
15x + 11y = 575
So that,
8x + 10y = 410 .............. 1
15x + 11y = 575 ......... 2
Using substitution method, from equation 1;
x = ................. 3
Substitute the expression for x into equation 2,
15() + 11y = 575
multiply through by 8,
6150 - 150y + 88y = 4600
6150 - 62y = 4600
6150 - 4600 = 62y
1550 = 62y
divide through by 62 to have,
y = 25
Substitute the value of y in equation 3
x =
=
= 20
x = 20
Thus, North Route is 20 miles, and South Route is 25 miles.
Answer:
a) 21 √m inches
b) 13√2/2 m
Step-by-step explanation:
a) we want to find the perimeter of an equilateral triangle
An equilateral triangle is one which sides has the same equal length
The perimeter of this triangle is the sum of the lengths of the three sides
Mathematically, we have this as:
7 √m + 7 √m + 7 √m
= 21 √m inches
b) we want to calculate the perimeter of the given rectangle
Mathematically, we can calculate the perimeter of a rectangle using the formula below;
P = 2(l + b)
where l represents the length of the rectangle and b represents the breadth of the rectangle
From the given shape;
l = √50 m, b = 1/2 √32
So, we have the perimeter follows;
2( √32/2 + √50)
= √32 + √50/2
√32 = 4√2
√50 = 5√2
Thus, we have;
4 √2 + 5 √2/2
= (8 √2 + 5 √2)/2 = 13√2/2
Answer
it is 5 : )
Step-by-step explanation: