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Lady bird [3.3K]

2 years ago

13

Calculate the volume of this regular solid.

1 answer:

IgorC [24]2 years ago

5 0

Answer:

V= 42.41

Step-by-step explanation:

$V = \pi r^{2}\frac{h}{3}$

where r is the radius = 3 and h is the height = 4.5

$V= \pi$ × $3^{2}$ × $\frac{4.5}{3}$

V = 42.41

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Which statement is best represented by the inequality d less-than 0.35? The pen costs less than $0.35. The pencil costs greater

sweet-ann [11.9K]

Answer:

option A, the pen cost less than $0.35

I hope this is helpful :)

7 0

2 years ago

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There are 25 towns in a certain country, and every pair of them is connected by a train route. How many train routes are there?

7nadin3 [17]

Answer:

13

Step-by-step explanation:

a pair=2

so 25/each pair of towns

25/2=12+1=13

5 0

3 years ago

The Empire State Building weighs about 7.3×108pounds. The One World Trade Center building weighs about 88,200,000 pounds. What i

In-s [12.5K]

Answer:

$8.182X10^8 $pounds$

a=8.182 and b=8

Step-by-step explanation:

Weight of the Empire State Building = $7.3X 10^8$ pounds.

Weight of the One World Trade Center building= 88,200,000 pounds.

= $8.82 X 10^7$

The addition of the two:

$=7.3X 10^8+8.82 X 10^7\\$To make it easier to add, express both as powers of 8\\=7.3X 10^8+0.882 X 10^8\\=(7.3+0.882)X10^8\\=8.182X10^8 $ pounds$

Comparing with the form: $aX10^b$

a=8.182 and b=8

4 0

3 years ago

Can y’all help me with 17 and 18

lord [1]

Answer:

17 is 35 degrees and 18 is 43 degrees

7 0

2 years ago

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A particle moves on the hyperbola xy=18 for time t≥0 seconds. At a certain instant, y=6 and dydt=8. What is x that this instant?

professor190 [17]

Answer:

The value of x at this instant is 3.

Step-by-step explanation:

Let $x\cdot y = 18$ , we get an additional equation by implicit differentiation:

$x\cdot \frac{dy}{dt}+y\cdot \frac{dx}{dt} = 0$ (1)

From the first equation we find that:

$x = \frac{18}{y}$ (2)

By applying (2) in (1), we get the resulting expression:

$\frac{18}{y}\cdot \frac{dy}{dt}+y\cdot \frac{dx}{dt} = 0$ (3)

$y\cdot \frac{dx}{dt}=-\frac{18}{y}\cdot \frac{dy}{dt}$

$\frac{dx}{dt} = -\frac{18}{y^{2}} \cdot \frac{dy}{dt}$

If we know that $y = 6$ and $\frac{dy}{dt} = 8$ , then the first derivative of x in time is:

$\frac{dx}{dt} = -\frac{18}{6^{2}} \cdot (8)$

$\frac{dx}{dt} = -4$

From (1) we determine the value of x at this instant:

$x\cdot \frac{dy}{dt} = -y\cdot \frac{dx}{dt}$

$x = -y\cdot \left(\frac{\frac{dx}{dt} }{\frac{dy}{dt} } \right)$

$x = -6\cdot \left(\frac{-4}{8} \right)$

$x = 3$

The value of x at this instant is 3.

4 0

2 years ago