Answer:
To the nearest cm
Width of the rectangle = 224cm
Step-by-step explanation:
Imagine a rectangle shape,
both opposite sides are equal, ie both lengths are equal and also applicable to the widths
Length is 2m
It's diagonal is 3m
The diagonal is a line that crosses from one length of a side to the other slantly, ie from one edge to the other, dividing the rectangle into two right angled triangles
The longest line will be the diagonal which is 3m
And the base length will be the length which is 2m
The width is what we are looking for which is represented with x
To solve this problem, we use Pythagoras' rule
x^2 = a^2 + b^2
Let x be diagonal side
a be length
b be the unknown width
Inserting into the formula
x^2 = a^2 + b^2
3^2 = 2^2 + b^2
9 = 4 + b^2
9 - 4 = b^2
5 = b^2
Square root of 5
b = 2.24m
The width = 2.24m
According to the question, we are asked to give the answer in nearest cm
Since 1cm = 0.01m
x cm = 2.24m
Then we cross multiply
1cm * 2.24m = xcm * 0.01m
x = 2.24 / 0.01
x = 224cm
The large van has 23 seats and the small van has 17 seats
Answer:
s= -2
Step-by-step explanation:
Answer:
x = -4 , 4
Step-by-step explanation:
The point (x,4) is equidistant from (0,1) and line y=-1
y=-1, it is horizontal line.
Let point on line be (x,-1)
Distance formula:
Distance between (x,4) and (x,-1) = Distance between (x,4) and (0,1)
hence, the value of x is 4 and -4
Let x be the number of loaves of banana bread and y be the number of loaves of nyt bread Elena makes.
1. A loaf of banana bread requires 2 cups of flour and 2 eggs, then x loaves require 2x cups of flour and 2x eggs.
2. A loaf of nut bread takes 3 cups of flour and 1 egg, then y loaves require 3y cups of flour and y eggs.
3. Elena has 12 cups flour, then
2x+3y≤12.
4. Elena has 8 eggs, then
2x+y≤8.
5. If she makes $1.50 profit per loaf of banana bread and $2 per loaf of nut bread, then she makes total profit of $(1.50x+2y).
The solution of system of two inequalities
is represented in the attached diagram.
The maximal profit can be obtained at point (3,2), where
Answer: correct choice is C (Elena could make 3 loaves of banana bread and 2 loaves of nut bread to maximize her profit)