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vodka [1.7K]
3 years ago
5

Jaqui estimates that the water in a pool is 90 cm deep. The pool is actually

Mathematics
1 answer:
77julia77 [94]3 years ago
8 0

Answer:

25%

Step-by-step explanation:

90 / 120 = .75 or 75%

Verify:  120*.25 = 30

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A spherical balloon is inflating with helium at a rate of 6464piπ StartFraction ft cubed Over min EndFraction ft3 min. How fast
Dmitrij [34]

Answer:

the surface area​ will increase 16  feet per minute

Step-by-step explanation:

Allow me to revise your question for a better understanding.

<em>A spherical balloon is inflating with helium at a rate of 64π Start Fraction ft cubed Over min End Fraction ft3 min. How fast is the​ balloon's radius increasing at the instant the radius is 2 ​ft? How fast is the surface area​ increasing? </em>

My answer:  

Given that:

\dfrac{dV}{dt} = 64\pi \dfrac{\text{ ft}^3}{\text{min}}  (1)

As we know that, the volume of a  spherical balloon can be calculated by using the following formula:

V = \dfrac{4}{3}\pi r^3 where r is the radius

Substitute V into (1), we have:

\dfrac{dV}{dt} = \dfrac{d}{dt}(\dfrac{4}{3}\pi r^3)\\\\\dfrac{dV}{dt} =4\pi r^2\dfrac{dr}{dt}

In this situation, the instant radius is: 2f

So we have:

64\pi = 4\pi (2)^2\dfrac{dr}{dt}\\\\\Rightarrow \dfrac{dr}{dt} = 4

The radius of the balloon is increasing at a rate of 4 feet per minute

The the surface area​ has the formula as:

SA1 = 4πr^{2}

If the radius of the balloon is increasing at a rate of 4 feet per minute, so the

the surface area​ will increase 16  feet per minute  because:

SA2 : 4π(4r)^{2}  = 16 (4πr^{2} ) = 16 SA1

Hope it will find you well.

8 0
3 years ago
How do you solve this problem?
Sholpan [36]

Answer:

21. r; 2.83 d; 5.66

22. d; 13.4 c; 42.09

23. r; 5.3 c; 33.30

24. r; 0.49 d; 0.99

Step-by-step explanation:

Hope this helps ;)

5 0
3 years ago
Read 2 more answers
Evaluate each expression if: k = 2, m = 7, n = 4.<br> 1) 6m - 3k 2)<br> 23) m + |2m - kl
guapka [62]
6m-3k²
= 6(7) - 3 (2)²
= 42 - 3(4)
= 42 - 12
= 30

m + | 2m-k|

7 + | 2(7) - 2|

7 + | 14-2|

7 + 12

= 19
7 0
3 years ago
Please help!!<br> Find the zeros and vertex of the parabola
Sergeeva-Olga [200]

Answer:

Vertex: (1/2, 16)

Zeros: t  =  − 1 /2, 3/2

Step-by-step explanation:

4 0
3 years ago
Pls answer if you know!
Leokris [45]
Everything = 180 degrees
2X = 180 - 40 - 40 -30
2x = 70
X= 35
4 0
3 years ago
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