Answer:
400 square meters
Step-by-step explanation:
We can first solve this problem with each unit representing 1 centimeter, and then scale up at the very end. The shape that we have a parallelogram. The base is 8 cm, and the height is 2 cm. The formula for the area of a parallelogram is just
, so the area of the parallelogram is 16 square centimeters. However, now we scale up. Since each centimeter correlates to 5 meters, each little box will correlate to 25 square meters. Therefore,
square meters is our answer
Answer:
He needs to gain more than 26 yards in order to break his record
Step-by-step explanation:
Let y stand for the number of yards he’ll have to gain. The sum of y plus the number of yards he already has (203) must be greater than 229 in order for him to break the record.
203 + y > 229 Set up the inequality.
203 − 203 + y > 229 − 203 Subtract 203 from both sides of the inequality.
y > 26
It sounds like <em>R</em> is the region (in polar coordinates)
<em>R</em> = {(<em>r</em>, <em>θ</em>) : 2 ≤ <em>r</em> ≤ 3 and 0 ≤ <em>θ</em> ≤ <em>π</em>/2}
Then the integral is

It should be a right angle (90º).
let the price of pizza and soda( per 2 litre bottle) be x and y
from 1st condition
12x+2y=137.6.....(1)
from 2nd condition
x+y =11.95.......(2)
multiply eq. (2) by 2
2x+2y=23.9.....(3)
subtracting (1) and (3)
12x+2y=137.6
2x+2y= 23.9
10x = 113.7
x=113.7/10
x=11.37
2(11.37)+2y=23.9
22.74+2y=23.9
2y=23.9-22.7
2y=1.2
y=0.6
So the prices of the pizza and soda are 11.37 and 0.6 dollars.