I need help ,,, and tahnks☺
2 answers:
We can use the Pythagoras theorem:
leg 1² + leg 2² = hypotenuse²
(4x)² + (3x)² = 20²
16x² + 9x² = 400
combine like terms
25x² = 400
divide by 25 on both sides to isolate x²
25 and 25 cancels out
x² = 16
Take square root on either sides tot find the value
x = +/- 4
Cancels -4 because lengths cannot be in negative.
x = 4
check:
(4 × 4)² + (3 × 4)² = 20²
(16)² + (12)² = 400
256 + 144 = 400
400 = 400
leg 1² + leg 2² = hypotenuse²
(4x)² + (3x)² = 20²
16x² + 9x² = 400
combine like terms
25x² = 400
divide by 25 on both sides to isolate x²
25 and 25 cancels out
x² = 16
Take square root on either sides tot find the value
x = +/- 4
Cancels -4 because lengths cannot be in negative.
x = 4
check:
(4 × 4)² + (3 × 4)² = 20²
(16)² + (12)² = 400
256 + 144 = 400
400 = 400
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Answer:
1138
Step-by-step explanation:
From the information given:
We can represent it perfectly in an exponential form:
where;
p = initial value = 120
q = base of the exponential form
q = 1 + r
here; r = rate in decimal = 10% = 0.1
Then q can now be = 1 + 0.1 = 1.1
Replacing it into the exponential form, we get:
where;
x = number of days and m = number of shoppers
Thus:
For the first day:
m = 120
For the second day:
m = 132
For the third day:
m = 145.2
For the fourth day
m = 159.72
For the fifth-day
m = 175.692
For the sixth-day
m = 193.2612
For the seventh-day
m = 212.58732
Thus; the total numbers of shoppers for the first 7 days is:
= 1138.46052
≅ 1138