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2 years ago

9

The eastbound train travels 10 miles per hour faster than the westbound train. After 2 hours, they are 232 miles apart. At what

speeds are the two trains traveling?

1 answer:

patriot [66]2 years ago

8 0

Answer:

48,58

Step-by-step explanation:

Let The speed of the west bound train be x

Let the east bound train be x+10

The speeds can be calculated as follows

2(2x+10)= 232

4x + 40= 232

4x= 232-40

4x= 192

x= 192/4

= 48

Hence the speedof the west bound train is 48

The speed of the east bound train is 48+10

= 58

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Which expression represents the volume, in cubic units, of the composite figure? One-third(8)(6)(6) (8)(6)(4) One-third(8)(6)(10

vaieri [72.5K]

The expression of Volume in cubic meter $\frac{1}{3}$ (8)(6)(6)+(8)(6)(4)

The correct option is (1)

<h3>What is Volume?</h3>

Volume can also be defined as the amount of space occupied by a 3-dimensional object. The volume of a solid like a cube or a cuboid is measured by counting the number of unit cubes it contains.

Volume will be,

V= Volume of rectangular pyramid + Volume of cuboid

Volume of rectangular pyramid= $\frac{1}{3}$ * base area* height

= $\frac{1}{3}$ * 6*8*(10-4)

= $\frac{1}{3}$ * 6*8*6

Volume of cuboid= l*b*h

= 4*6*8

So, Volume = $\frac{1}{3}$ * 6*8*6 + 4*6*8

= $\frac{1}{3}$ (8)(6)(6)+(8)(6)(4)

So, The expression of Volume in cubic meter $\frac{1}{3}$ (8)(6)(6)+(8)(6)(4).

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1 year ago

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Step-by-step explanation:

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2 years ago

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3 years ago

What is the area of a sector with a central angle of 108 degrees and a diameter of 21.2 cm?

Rasek [7]

Answer:

$105.84\ cm^2$

Step-by-step explanation:

step 1

Find the area of the circle

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substitute

$A=\pi (10.6)^{2}$

$A=112.36\pi\ cm^2$

step 2

Find the area of a sector

Remember that

The area of the circle subtends a central angle of 360 degrees

so

using proportion

Find out the area of a sector with a central angle of 108 degrees

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3 years ago

The radii of two circles are in the ratio of 3 to 1. Find the area of the smaller circle if the area of the larger circle is 27

Naddik [55]

ANSWER
$3\pi sq.\: in.$

EXPLANATION

Let R be the radius of the bigger circle and r, be the radius of the smaller circle.

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We can rewrite it as fractions to get,

$\frac{R}{r} = \frac{3}{1}$

We make R the subject to get,

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This implies that,

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This means that,
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The area of the smaller circle is therefore

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$= 3\pi$

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3 years ago

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