Answer: Part A: a square pyramid Part B: 84 square feet
Step-by-step explanation:
Part A: The shape will have a base that is a square with triangles on each of its edges that connect at a point at the top.
Part B: The amount of nylon needed is the surface area of the net. There is a square and two triangles. The square has a side length of 6 so its area will be 6*6=36 square feet. Each triangle has a base of 6 and a height of 4 so each of their areas will be
square feet. Adding up the area of the 4 triangles and the square gives us 4*12+36=84 square feet.
I don't like trying all of them so I will make up my own which will probably be in the answers
so equation is
f(x)=pay
x=hours worked
solve so
f(1)=110
f(2)=130
f(3)=150
f(4)=170
they seem to be increasing in 20 increments so therefor the pay is linked to hours times 20 so that measn that every hour he works, he gets 20 dollars
therefor the answer is f(n+1)=f(n)+20 since we know that 1 hour=$20 so n+1hour=n+$20
the answe ris f(n+1)=f(n)+20
Answer: 3/16 of the bag
Step-by-step explanation: 3/4 divided by 4 is the same as 3/4 * 1/4 which is 3/16
Answer:
0
Step-by-step explanation:
<h3>Given</h3>
- (x +
)(y +
) = 1 - (x+y)² = ?
<h3>Solution</h3>
<u>Let's make substitution as:</u>
- (x +
) = m
then
- (y +
) = 1/m
<u>Solving the first equation for x and the second one for y:</u>
- (x +
) = m
= m - x- 1 + x² = (m - x)²
- 1 + x² = m² - 2mx + x²
- 2mx = m² - 1
- x = (m² - 1)/2m
And
- (y +
) = 1/m
= 1/m - y- 1 + y² = 1/m² -2y/m + y²
- 1 = 1/m² - 2y/m
- m² = 1 - 2my
- 2my = 1 - m²
- y = (1 - m²)/2m
- y = - (m² - 1)/2m
<u>Now, sum of x and y:</u>
- x + y = (m² - 1)/2m - (m² - 1)/2m = 0
<u>Therefore:</u>
Answer is zero
Answer:
x>6.67
Step-by-step explanation:
3x+10>30
3x>30-10
3x>20
x>20/3
x>6.67