STOP solve and answer
Carry out the plan & write the finol answer
Step 4-Check
Is the answer correcta
PROBLEM 2. How much greater is the circumference of the code with a
diameter of 12m than another circle with a rodius of Sms
Step 1 -Read and understand
What is asked in the problem
What do you know of the problerna
Step 2 - Plan
What must be done to solve the problema
Step 3-Solve and answer
Carry out the plan & write the final answer
Step 4 - Check
Is the answer correct?
LEARNING TASK 5. Now that you know how to solve different types of
problems involving circumference, it is time for you to answer these
problems on your own. Use the 4-step plan.
PIVOT
Carry out the plan & write the finol answer
Step 4-Check
Is the answer correcta
PROBLEM 2. How much greater is the circumference of the code with a
diameter of 12m than another circle with a rodius of Sms
Step 1 -Read and understand
What is asked in the problem
What do you know of the problerna
Step 2 - Plan
What must be done to solve the problema
Step 3-Solve and answer
Carry out the plan & write the final answer
Step 4 - Check
Is the answer correct?
LEARNING TASK 5. Now that you know how to solve different types of
problems involving circumference, it is time for you to answer these
problems on your own. Use the 4-step plan.
PIVOT
New questions in Math
2x²t X-6______2X²t7xt5X 2-2X-8_______2x²-3x-20
40 Grade 7 students were asked about their favorite color:22 likes red22 likes green23 likes yellow12 likes both red and green15 likes both red and ye …
is this correct???512s⁶+125n⁹{ (8s)³+(5n)³}=(8s+5n){ (8s)² - 8s.5n+(5n) } =(8s+5n)(64s² - 40sn + 25n²)checking512s³- 320s²n+200s²n …
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Answers & Comments
Answer:NUMBER 1. The width of a bedroom floor is 5 m less than its length and its area is 84 m². Find its dimensions.
let:
W = L-5
A = L×W
84 = L(L - 5 )
84 = L² - 5L
L² - 5L - 84 = 0
(L + 7)(L - 12) = 0
L = -7
L = 12
walang dimension na negative, therefore
L = 12 m
W = L-5 = 7 m
Checking
12×5 = 84 ✔
NUMBER 2. A certain pipe can fill up a tank 2 hours faster than another pipe. It takes 3 and hours for both pipes to fill up the same tank. In how many hours would the first pipe fill up the tank?
Work Problem: Job = Rate × Time
use this formula if the question only have 1 job
let:
x - time of pipe 2 (t2)
x+2 - time of pipe 1 (t1)
use quadratic formula
if x = 5.16 s
x+2 = 7.16 s
checking:
(1/5.16 + 1/7.16)(3) = 1
1 = 1 ✔
NUMBER 3. A picture frame has its length 8 cm longer than its width. It has an inner 1-cm boundary such that a maximum 660 cm²-picture may fit into it. Find the dimensions of this frame.
let
W+8 = length
W-2 = inner width
W+6 = inner length
A = L×W
660 = (W + 6)(W - 2)
660 = W² + 4W - 12
0 = W² + 4W - 648
0 = (W + 27)(W - 24)
W = -27
W = 24
if W = 24 cm
L = W+8 = 32 cm
Checking:
(W + 6)(W - 2) = 660
(24+6)(24-2) = 660
660 = 660 ✔
NUMBER 4. After how many seconds is needed for a thrown ball to reach a 14-m distance its distance is given by the relation d = 10 + 40t - 5t²? {t=time in seconds).
14 = 10 + 40t - 5t²
14 + 5t² - 40t - 10 = 0
5t² - 40t + 4 = 0
use quadratic formula
t = 0.101 s
t = 7.899 s
checking:
if x = 7.899
d = 10 + 40(7.899) - 5(7.899)² = 14 ✔
if x = 0.101
d = 10 + 40(0.101) - 5(0.101)² = 14 ✔