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Vlada [557]
3 years ago
8

The edges of a cube are 5 centimeters each and the diagonal of a face is approximately 7 centimeters. What is the approximate ar

ea of the cross section passing throughthe diagonals of opposite faces of this cube?
А. 12 square centimeters
B. 25 square centimeters
C. 35 square centimeters
D. 49 square centimeters
Mathematics
1 answer:
pav-90 [236]3 years ago
3 0
35 square centimeter
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On a map, the distance from Happy Hill Park to Rainbow Valley Park is 4/1/2 inches. The scale is 1/2 inch: 3 miles. What is the
Studentka2010 [4]

we are given

The scale is

\frac{1}{2} inch=3miles

the distance from Happy Hill Park to Rainbow Valley Park is 4 1/2 inches

we can change it into rational form

and we get

=\frac{9}{2}inch

so, we can multiply both sides by 9

9*\frac{1}{2} inch=9*3miles

now, we can simplify it

\frac{9}{2} inch=27 miles

so, the actual distance between the two parks is 27 miles........Answer

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3 years ago
What is the vertical asymptote for this function?<br> y=1/x-2
nataly862011 [7]

Answer: x = 0

Step-by-step explanation: so x = 0 is the equation of the vertical asymptote, and 0 must be left out of the domain: (−∞,0)U(0,∞) in interval notation.

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2 years ago
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photoshop1234 [79]

Answer:

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2 years ago
This is the pond in a shape of a prism, it is completely full of water. Colin uses a pump to empty the pond. The level goes down
AnnZ [28]

Answer:

150 minutes

Step-by-step explanation:

P.S - The exact question is -

Given - This is the pond in a shape of a prism, it is completely full of

             water. Colin uses a pump to empty the pond. The level goes

             down by 20 cm in the first 30 min.

To find - Work put how many minutes Colin has to wait for the pond

               to completely empty.

Proof -

Given that,

Height of prism = 1 m

Also,

Base of the prism is trapezium and

Sides of the trapezium are 0.6 m and 1.4 m

Height of trapezium is 2 m

We know that,

Area of trapezium = \frac{1}{2}× (sum of sides)× height

                             =  \frac{1}{2}× (0.6 + 1.4)× 2

                             =  \frac{1}{2}× (2)× 2

                             =  2 m²

⇒Area of trapezium = 2 m²

Now,

Volume of prism = Area of trapezium × height of prism

                          = 2 m² × 1 m

                          = 2 m³

⇒Volume of prism = 2 m³

Now,

Given that the level goes down by 20 cm in the first 30 min

We know

100 cm = 1 m

⇒1 cm = \frac{1}{100} m = 0.01 m

⇒20 cm = 20×0.01 m = 0.2 m

⇒The level goes down by 0.2 m in the first 30 min.

Also,

we know that height of water = height of prism = 1 m

So, the remaining water left in the pond = 1 m - 0.2 m = 0.8 m

Also,

Volume of Remaining water = Area of trapezium × height

                                           = 2 m² × 0.8 m

                                           = 1.6 m³

⇒Volume of Remaining water = 1.6 m³

Now,

Volume of emptied water = Total Volume - Volume of Remaining water

                                       = 2 m³ - 1.6 m³

                                       = 0.4 m³

⇒Volume of emptied water = 0.4 m³

Now,

0.4 m³ water will be empty in 30 minutes

⇒ 1 m³ water will be empty in \frac{30}{0.4} = 75 minutes

⇒1.6 m³ water will be empty in 1.6 × 75 = 120 minutes

∴ we get

The remaining water is empty in 120 minutes

So,

Total pond is empty in 120 + 30 minutes

⇒Total pond is empty in 150 minutes

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3 years ago
The graph of which function is decreasing over the interval (–4, ∞)?
padilas [110]
I think second must b the answee
3 0
3 years ago
Read 2 more answers
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