Answer:
A; The cost is $0.07 per 
Step-by-step explanation:
In this question, we are asked to calculate the cost of the Chicago pizza per square inch rounded to the nearest cent.
Firstly, we will need to calculate the area occupied by the 14 inch medium pepperoni pizza made by Chicago pizza
Since the pizza is circular in shape, we use the formula for the area of a circle to calculate its area in square inch
Mathematically, the area of a circle is equal to π
. Here, our r is half the size of the pizza as the 14 inch represents the full length of the pizza across the center of the pizza = 7 inch
The area is thus = 22/7 × 7 × 7 = 154
Now, since the full pizza costs $10.49, the cost of the pizza per is 10.49/154 = 0.068 = $0.07 per
Answer:
-11/4
Step-by-step explanation:
slope = 
Hope this helps
Answer:
choice C. Yes, this image proves the pythagorean theorem is true because 9 + 16 = 25
Step-by-step explanation:
Answers:
- Total equation: x+y = 80
- Legs equation: 2x+4y = 248
- How many ducks? 36
- How many cows? 44
====================================================
Further explanation:
- x = number of ducks
- y = number of cows
x+y = 80 is the total equation (ie the head count equation) since we assume each animal has 1 head, and there are 80 heads total.
That equation can be solved to y = 80-x after subtracting x from both sides.
The legs equation is 2x+4y = 248 because...
- 2x = number of legs from all the ducks only
- 4y = number of legs from all the cows only
- 2x+4y = total number of legs from both types of animals combined
We're told there are 248 legs overall, so that's how we ended up with 2x+4y = 248
------------
Let's plug y = 80-x into the second equation and solve for x.
2x+4y = 248
2x+4( y ) = 248
2x+4( 80-x ) = 248
2x+320-4x = 248
-2x+320 = 248
-2x = 248-320
-2x = -72
x = -72/(-2)
x = 36
There are 36 ducks
Now use this x value to find y
y = 80-x
y = 80-36
y = 44
There are 44 cows.
------------
Check:
36 ducks + 44 cows = 80 animals total
36*2 + 44*4 = 72 + 176 = 248 legs total
The answers are confirmed.
Answer:
Step-by-step explanation:
a). Since, ΔABC ~ ΔWYZ
Their corresponding sides will be proportional.
--------(1)
By applying Pythagoras theorem in ΔABC,
AB² = AC² + BC²
BC² = AB² - AC²
BC² = (194)² - (130)²
BC² = 20736
BC = 144
From equation (1)
WY = 
WY = 
= 1.35
WZ = 
WZ = 
= 0.90
b). tan(A) = 
= 
= 
Since, ΔABC ~ ΔWYZ,
∠A ≅ ∠W
Therefore, tangent of angle A and angle W will measure .
