Answer:
1 ) 49,062.5 feet square
2) 64 π inch square .
3) 9 π meter square .
4) 289 π ft square.
5) 225 π cm square .
Step-by-step explanation:
1) From the above figure we can see that diameter of pond is given as 250 ft.
So we easily calculate the area of circular pond by using the area formula of circle.
AREA 
= 0.785 × 250 × 250 ft square
= 49,062.5 ft square .
2) In the second figure diameter is given as 16 inches .
AREA
= 
= 64 π inch square .
3) Here the diameter is given as 6 m .
AREA
= 9 π meter square .
4) Here the radius is 17 ft .
AREA = π × radius ×radius
= π × 17 × 17 ft. square .
= 289 π ft square.
5) Here the radius is give as 15 cm.
AREA = π × radius ×radius .
= π × 15 × 15 cm square .
= 225 π cm square .
(Above is the graph for the line)
Situation:
You are signing up for a book club. The get-in price is 6. Every month, you have to pay 2 dollars.
How This Works:
y=mx+b
M=Slope
B=y intercept.
Y intercept is the starting point. The beginning out. In this case, the y intercept is 6. So, in our situation, 6 is the joining fee. The beginning amount. Slope is the the rate of change. The slope in this problem is 2. Since the monthly fee is 2, that would make it the slope
Answer:
60 oz of water to add
45 oz of 35% salt solution should be used
Step-by-step explanation:
Let x = amt no. ounces in the first solution
and 105 - x = amt no. of ounces in the second solution
Ist solution contains 0% salt
2nd solution contains .35(105 - x) salt
.15(105= amt of salt in mix
So.
amt of salt in 1st solution + amt of salt in 2nd solution = amt of salt in the mix
0 + .35(105 - x) = .15(105)
Let's get rid of the fractions by multipying thru the equation by 100
35(105 - x) = 15(105)
3675 - 35x = 1575
-35x = -2100
x = 60 oz of water to add
105 - 60 = 45 oz of 35% salt solution should be used
Answer:
c = 169
Step-by-step explanation:
Given
m² - 26m
To complete the square
add ( half the coefficient of the m- term)² to m² - 26m
m² + 2(- 13)m + (- 13)²
= m² - 26m + 169 ( with c = 169 )
= (m - 13)² ← perfect square
