Answer:
Step-by-step explanation:
hello :
note : the vertex form is :
ax²+bx+c = a(x+(b)/(2a))²- delta/4a² and delta = b²- 4ac
in this exercice you have : a =1 b = -1 and c= 3
continu ..........
If the sum of an integer and 6 times the next consecutive integer is 61, the the value of lesser integer is 7
Consider the first odd integer as x
Then the next consecutive odd integer = x+2
The 6 times the second integer= 6(x+2)
= 6x+12
Sum of an integer and 6 times the next consecutive odd integer is 61
Then the equation will be
x + 6x+12 = 61
Add the like terms in the equation
(1+6)x + 12 = 61
7x +12 = 61
Move 12 to the right hand side of the equation
7x = 61-12
7x = 49
x = 49/7
x = 7
The second number is
x+2 = 7+2
= 9
Hence, if the sum of an integer and 6 times the next consecutive integer is 61, the the value of lesser integer is 7
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We know that
length of a sector=[∅]*r--------> when ∅ is in radians
so
∅=length of a sector/r
for r=7 ft
length of a sector=4 ft
∅=4/7-----> 0.57 radians
the answer part 1) is 0.57 radians
part 2)
area of a sector=(∅/2)*r²--------> when ∅<span> is in radians
</span>area of a sector=(4/7/2)*7²-----> (4/14)*49----> 14 ft²
the answer Part 2) is 14 ft²
Answer:
5300 milliliters
Step-by-step explanation:
Answer:
The area of cheese is 388π cm.
Step-by-step explanation:
Given that,
Radius of pizza = 20 cm
Number of pieces = 12
Radius of circle = 1 cm
We need to calculate the area of pizza
Using formula of area
Put the value into the formula
We need to calculate the area of circle
Using formula of area
Put the value into the formula
Now, we multiply the result by 12 because they are 12 salamis.
So. the area of salamis will be
We need to calculate the area of cheese
The total area of the pizza and subtract the area of the salamis
Put the value in to the formula
Hence, The area of cheese is 388π cm.
