Answer:
25 meters
Step-by-step explanation:
30 km/hr = (30 km/1 hr)*(1000 m/1 km)*(1 hr/60 min)*(1 min/60 sec)
30 km/hr = (30*1000*1*1)/(1*1*60*60) meters per second
30 km/hr = 8.3333333333 m/s (approximate)
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The speed or rate is r = 8.3333333333 meters per second approximately, and the time is t = 3 seconds, so,
distance = rate*time
d = r*t
d = 8.3333333333 * 3
d = 24.9999999999
Due to rounding error, the true answer should be d = 25. We can see this if we opted to use the fraction from of 8.3333... instead of the decimal representation which isn't a perfect exact measurement.
Answer:
(- 1, 5 )
Step-by-step explanation:
Using the method of substitution.
Given the 2 equations
3x + 2y = 7 → (1)
x - 4y = - 21 → (2)
Rearrange (2) expressing x in terms of y by adding 4y to both sides.
x = 4y - 21 → (3)
Substitute x = 4y - 21 into (1)
3(4y - 21) + 2y = 7 ← distribute and simplify left side
12y - 63 + 2y = 7
14y - 63 = 7 ( add 63 to both sides )
14y = 70 ( divide both sides by 14 )
y = 5
Substitute y = 5 into (3)
x = (4 × 5) - 21 = 20 - 21 = - 1
Solution is (- 1, 5 )
Answer:
Step-by-step explanation:
a² - b² = (a + b) (a - b)
1)x² - 36 = x² - 6² = (x + 6)(x-6)
2) 4x² - 16 = 4x² - 4*4 = 4(x² - 4)
= 4(x² -2²)
= 4(x + 4)(x-4)
3) 9x² -1 = 3²x² - 1² = (3x)² - 1²
=(3x + 1)(3x - 1)
a) Cube area = 6a^2
a = 6(5.25)^2
5.25 * 5.25 = 27.5625 * 6 = 165.375
Rounded, thats 165.38
b) Rectangular prism area = 2(wl + hl + hw)
Lets say l = 6.8, w = 8.2, h = 10
It equals about 441.52
Answer:
The answer to your question is below
Step-by-step explanation:
To solve this problem, for a and c, just look in the x-axis the value given and find the value of a and c in the y-axis.
To solve this problem, for b and d, just look in the y-axis the value given and find the value of b and d in the x-axis.
f(2) = -3 a = -3
f(b) = 0 b = -4
f(-2) = -1 c = -1
f(d) = -6 d = 8
