Answer:
Price of Caleb's groceries before tax= $6.4
Step-by-step explanation:
Let price of groceries before tax be = $ 
Sales tax % = 2.5%
Sales tax applied = 
Actual sales tax paid = $1.60
∴ 
Multiplying both sides by 100.
Dividing both sides by 25.
∴ Price of groceries before tax= $6.4
The area of the square pyramid building is the amount of space on it
The maximum base length of the building is 67.42 cm
<h3>How to determine the maximum side length?</h3>
The given parameters are:
Base = b
Slant height (l) = 5b
The lateral surface area is calculated using:
L = 2bl
So, we have:
L = 2 * b * 5b
Evaluate the product
L = 10b^2
The total surface area is calculated using:
T = L + b^2
So, we have:
T = 10b^2 + b^2
Evaluate the sum
T = 11b^2
The maximum surface area is 50,000 square feet
So, we have:
11b^2 = 50000
Divide both sides by 11
b^2 = 50000/11
Take the square root of both sides
b = 67.42
Hence, the maximum base length of the building is 67.42 cm
Read more about square pyramids at:
brainly.com/question/27226486
Answer:
the answer is b on oddesseyware
Step-by-step explanation:
Answer:
x=-6
Step-by-step explanation:
Let x be the number
3x = x^2 -54
Subtract 3x
3x-3x = x^2 -3x-54
0 = x^2 -3x-54
Factor
What 2 numbers multiply to -54 and add to -3
-9*6 = -54
-9+6 = -3
0=(x-9) (x+6)
Using the zero product property
x-9=0 x+6=0
x=9 x=-6
The questions asks for the negative solution
x=-6
Answer:
m<F = 80 degrees
Step-by-step explanation:
Since line DF and line FE are congruent you know that the triangle is isosceles so you know that <D and <E are equal.
50+50=100
180-100=80
