The volume of a rectangular prism is given by
area of base × height
The rate at which the tank is being filled is 1 liter per minute which we need to convert
1 liter = 1 dm³
But 1 dm = 10 cm. Hence
1 liter = (10 cm)³ = 1000 cm³
The height h of the water is related to the volume by
volume = area of base × h
In one minute the volume increases by 1 liter or 1000 cm³ and the height increases by
h = volume / area of base = 1000 cm³ / 100 cm² = 10 cm <span>
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The house worth in 23 years is $ 242751
<em><u>Solution:</u></em>
<em><u>The formula that models inflation is given as:</u></em>
Where,
C = the value today
r - annual inflation rate in decimal form
t = number of years from now
Given that,
C = $ 123, 000
t = 23 years
Substituting the values in formula,
Thus the house worth in 23 years is $ 242751
Answer:
#4: -18xy^3z * sqrt(z)
#5: 24xy^3 * sqrt 3(x^2)
Step-by-step explanation:
#4: -2*sqrt(9^2 * x^2 * y^2 * y^2 * y^2 * z^2 * z)
You can cancel if there is a number sqaured
-2 * 9 * x * y * y * y * z * sqrt(z)
-18xy^3z * sqrt(z)
#5: 6 * sqrt 3( 4^3 * x^3 * x^2 * (y^3)^3 )
You can cancel if the number is cubed.
6 * 4 * x * y^3 * sqrt 3( x^2 )
24xy^3 * sqrt 3(x^2)
Answer:
The second time when Luiza reaches a height of 1.2 m = 2 08 s
Step-by-step explanation:
Complete Question
Luiza is jumping on a trampoline. Ht models her distance above the ground (in m) t seconds after she starts jumping. Here, the angle is entered in radians.
H(t) = -0.6 cos (2pi/2.5)t + 1.5.
What is the second time when Luiza reaches a height of 1.2 m? Round your final answer to the nearest hundredth of a second.
Solution
Luiza is jumping on trampolines and her height above the levelled ground at any time, t, is given as
H(t) = -0.6cos(2π/2.5)t + 1.5
What is t when H = 1.2 m
1.2 = -0.6cos(2π/2.5)t + 1.5
0.6cos(2π/2.5)t = 1.2 - 1.5 = -0.3
Cos (2π/2.5)t = (0.3/0.6) = 0.5
Note that in radians,
Cos (π/3) = 0.5
This is the first time, the second time that cos θ = 0.5 is in the fourth quadrant,
Cos (5π/3) = 0.5
So,
Cos (2π/2.5)t = Cos (5π/3)
(2π/2.5)t = (5π/3)
(2/2.5) × t = (5/3)
t = (5/3) × (2.5/2) = 2.0833333 = 2.08 s to the neareast hundredth of a second.
Hope this Helps!!!
Answer:
πr²
Step-by-step explanation:
The surface area of a circle is πr²
Pie is 22/7 or 3.14
While the radius of a circle is any line from the centre of a circle to any part of the circumference of the circle. A diameter is any line that cuts the circle into two equal halves, cutting the circle from the centre.
To get the surface area of a circle, you draw a line from the centre of the circle, and then touch any part of the circumference of the circle. Then you measure the line, that's the radius.
If for instance, the radius gives 7cm, you find the Square, And then multiply it with pie.
22/7 X 7 ²
22/7 X 7 X 7
22 X 7
154cm²