Answer:
Step-by-step explanation:
The area of a circle is A = πr², where r is the radius. That means in order to solve this we have to find the value of x, which is the diameter of the lake, and then divide it in half to get the radius. To find x we will use similar triangles and proportions. x is the height of the big triangle and 4.5 is the height of the smaller triangle; 15.3 + 7.4 is the hypotenuse of the big triangle and 7.4 is the hypotenuse of the smaller triangle. Setting up our proportion:
which simplifies a bit to
and cross multiply to solve for x:
7.4x = 102.15 so
x = 13.8 That is the diameter of the lake. Divide it in half to get 6.9, the radius. Applying the area formula for a circle:
A = (3.14)(6.9)² and
A = 3.14(47.61) so
A = 149.5 which rounds to 150, Choice C
Answer:
-13
Step-by-step explanation:
We remove the -4 by adding 4 to each side:
3y = -43 + 4
Now we simplify to give:
3y = -39
So now we divide both sides by 3 to give our answer of:
y = -39/3
y = -13
We can substitute this into the original equation to check our answer:
-4 + 3(-13) = -43
-4 + -39 = -43
✅
Answer:
m=-7/2
Step-by-step explanation:
(5 • (m + 2) - m) - (2m + 3) = 0
2m + 7 = 0
3.1 Solve : 2m+7 = 0
Subtract 7 from both sides of the equation :
2m = -7
Divide both sides of the equation by 2:
m = -7/2 = -3.500
Answer:
The correct option is D) 43 items.
Step-by-step explanation:
As we know that total given time is ,
,
Out of which cashier spends 40 seconds to process the customer's payment.
So the remaining time = (126 - 40) = 86 secs.
And the remaining time is used to scan the item and so that we can calculate here the no items scan is = (86 ÷ 2) = 43.
Therefore we can say that 43 items are being purchased.
