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Cloud [144]
3 years ago
8

Which expression is equivalent to sec2x − 1?

Mathematics
1 answer:
hichkok12 [17]3 years ago
6 0
<span><span>tan^2</span>(x) is the answer.</span>
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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
मिनधन १.. 18,900 हुन्छ भन सावा रकम पता लगा
Vladimir [108]

Answer:

Solution given:

principal [P]=P

time [T]=4 years

Rate [R]=13%

compound amount=18900

Simple interest=P-18900

we have

simple interest=\frac{P*T*R}{100}

P-18900=\frac{P*4*13}{100}

100P-1890000=52P

48P=1890000

P=1890000/48

P=39375

the sum that amounts =Rs 39375

5 0
3 years ago
30% of ________is $75?
Helga [31]
The answer to this is 250.
4 0
4 years ago
What is 5X minus Y equals 6+ negative 2X plus Y=8
vova2212 [387]

Answer:

For the given expression: X = (\frac{10}{3})  , Y =  (\frac{26}{3})

Step-by-step explanation:

Here, the given expression in statement form is given as:

5 X minus Y equals 6 + negative 2 X plus Y = 8

Now, converting the given statement mathematically, we get:

5X  - Y  = 6 + (-2X) + Y  = 8

Now, considering first  and the last  terms,we get:

5 X - Y  = 8  .... (1)

and , considering second and the last  terms,we get:

6 + (-2X) + Y  = 8 or, -2X  + Y  = 2  ......... (2)

Adding (1) and (2) , we get:

5 X - Y  - 2 X  + Y  = 8 + 2

or, 3 X =  10

or, X = 10/3  = 3.34

Now, 5X - Y = 8

or, 5(\frac{10}{3}) - Y = 8\\ \implies Y = \frac{50}{3} - 8  = \frac{50 - 24}{3}  = \frac{26}{3} \\\implies Y = \frac{26}{3}

Hence, for the given expression:

X = (\frac{10}{3})  , Y =  (\frac{26}{3})

3 0
3 years ago
Find the radius of a circle that has an area of 212​
kobusy [5.1K]

Answer:

The answer should be: r ≈ 8.21

5 0
3 years ago
Read 2 more answers
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