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Fittoniya [83]
3 years ago
14

Show that parallelogram with its diagonals intersecting at 90° is rhombus.

Mathematics
1 answer:
34kurt3 years ago
8 0
I do not have an answer for that, but you should try looking for that on google or yahoo answers.
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A melting spherical block of ice has its surface area changing at the rate of 24 inch2 /sec at the time the radius is 3 inches.
emmainna [20.7K]
The surface area of the sphere is:
 A = 4 * pi * r ^ 2
 Deriving we have:
 A '= 8 * pi * r * r'
 We clear the speed:
 r '= A' / (8 * pi * r)
 Substituting values:
 r '= 24 / (8 * pi * 3)
 r '= 1 / pi inch / sec
 Then, the volume of the sphere is:
 V = (4/3) * (pi) * (r ^ 3)
 Deriving we have:
 V '= (3) * (4/3) * (pi) * (r ^ 2) * (r')
 Substituting values:
 V '= (3) * (4/3) * (pi) * (3 ^ 2) * (1 / pi)
 Rewriting:
 V '= (4) * (9)
 V '= 36 inch3 / sec
 Answer:
 
the volume of the ice is changing at 36 inch3 / sec at that moment
4 0
3 years ago
Quick calculus question work doesn't have to be shown
Vinil7 [7]
\bf \textit{volume of a sphere}\\\\
V=\cfrac{4\pi r^3}{3}\implies V=\cfrac{4\pi }{3}r^3
\\\\\\
\cfrac{dV}{dt}=\cfrac{4\pi }{3}\cdot \stackrel{chain~rule}{3r^2\cdot \cfrac{dr}{dt}}\quad 
\begin{cases}
\frac{dr}{dt}=50\\
r=6
\end{cases}\implies \cfrac{dV}{dt}=\cfrac{4\pi }{3}\cdot 3(6)^2\cdot 50\\\\\\ \cfrac{dV}{dt}=\stackrel{\frac{cm^3}{s}}{7200\pi}
5 0
3 years ago
107=(9X-115) +(4x+27)​
Cloud [144]

Answer: x=15

Step-by-step explanation:

Equation: 107=(9x-115)+(4x+27)

Step 1: 9x+4x-115+27=107

Step 2: 13x-115+27=107

Step 3: 13x-88=107

Step 4: 13x-88+88=107+88

Step 5: 13x=195

Step 6: 13x/13=195/13

x=15

6 0
2 years ago
PLEASE HELP BEST ANSWER ILL GIVE BRAINLIEST!!
MrRa [10]
It’s b) an =-125(-^2/5)^n
4 0
3 years ago
How do you solve 135x42? (step by step please)
mojhsa [17]

Answer:

5,670

Step-by-step explanation:

how do you solve 135x42? (step by step please)

Answer :

= 135 x 42

= 5,670

3 0
2 years ago
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