2.

1. A 6-foot tall observer casts a 3.5-foot shadow

at the same time a silo casts a 49-foot shadow.

How tall is the silo?

Step-by-step explanation:

Given that a 6-foot tall observer casts a 3.5-foot shadow  at the same time a silo casts a 49-foot shadow.

We can solve this by setting up a ratio comparing the height of the Silo to the height of the observer and shadow of the Silo to the shadow of the observer.

Let  be height of the Silo

 shadow of the Silo

height of the observer

shadow of the observer

Now we have

Substitute the values we get

x = 84ft

Step-by-step explanation:

6ft/3.5ft = x/49ft

3.5x = 6 x 49

3.5x = 294

3.5x ÷ 3.5 = 294 ÷ 3.5

6ft/3.5ft = 84ft/49ft

3.4 pizzas

step-by-step explanation:

given is a scatter plot showing number of pizzas sold during weeks for different issues of coupon

y represents number of pizzas sold and x number of coupons issued

y is marked verticaly and x horizontally

the trend line is given as

y =3.4x+43

this says that even when no coupon is issued pizzas sold will be 43

and rate of change of pizza sold for 1 unit of coupon = slope = 3.4

i.e. when x increases by 1 unit y increases by 3.4 units

hence for each additional coupon issued 3.4 pizzas more will be sold

area = length x width

length = 2 x width

32 = 2 x width x width

32 = 2 x width^2

36 = width ^2  

width = 6

length = 12

area is 32

perimeter = 2 x 12 + 2 x 6 = 24 + 12 = 36

step-by-step explanation: