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3 years ago

What is the value of k used to find the coordinates of a point that partitions a segment into a ratio of 5:3. Please Explain.

Mathematics

1 answer:

Dafna11 [192]3 years ago

4 0

Answer:

The value of k is 5/8

Step-by-step explanation:

The value of k is found by dividing the numerator of the original ratio, 5, by the sum of the numerator and denominator of the ratio

When finding a point, P, to partition a line segment AB into the ratio a/b, we find a ratio c = a / (a + b)

According to this formula we find the value of k.

k = a/(a+b)

where a = 5

b = 3

Now plug the values in the formula:

k = 5/(5+3)

k = 5/8 ....

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2. The volume of both of these trapezoidal prisms is 24 cubic units. Their

Valentin [98]

Answer:

area of a trapezoidal base of each prism with heights 6 and 8 units are 4 square units and 3 square units respectively

Step-by-step explanation:

Let us first be aware of formula of volume for any regular geometrical figure.

Fundamental formula for volume for any regular geometrical figure is.

volume = area of cross section of object* height of object (A)

In the problem stated area of cross section of object will be area of a trapezoidal base.

Given in the question is

Volume of both the trapezoidal prisms = 24 cubic units

*************************************************************************************

For prism with height 6 unit

Substituting the value of height and volume in formula for trapezoidal prisms

24 = 6 * area of a trapezoidal base

=> area of a trapezoidal base = 24/6 = 4 square units

*************************************************************************************

For prism with height 8 unit

Substituting the value of height and volume in formula for trapezoidal prisms

24 = 8 * area of a trapezoidal base

=> area of a trapezoidal base = 24/8 = 3 square units

*************************************************************************************

Therefore area of a trapezoidal base of each prism with heights 6 and 8 units are 4 square units and 3 square units respectively.

4 0

3 years ago

Show work for 694 divided by 3

tatuchka [14]

Answer: 231.3 repeating!

Step-by-step explanation: I used the calculator

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3 years ago

If alvin sold 60% of his baseball cards, gave away 30% of those that were left, and still had 40 baseball cards in his possessio

kipiarov [429]

Answer:

The number of baseball card to begin with is 143

Step-by-step explanation:

Let The number of baseball cards = x

The number of sold baseball card = 60% of x

= 0.6 x

The number of left baseball card = x - 0.6 x = 0.4 x

The number of card gave away = 30 % of left cards

= 0.3 × 0.4 x = 0.12 x

The number of card left in his possession = 40

So, 0.6 x + 0.12 x + 40 = x

Or, 40 = x - 0.6 x - 0.12 x

Or, 40 = 0.28 x

∴ x = $\frac{40}{0.28}$ = 142.85 ≈ 143

Hence The number of baseball card to begin with is 143 Answer

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3 years ago

I need help in this math number 7,I got the picture here for u to know what to do because I don’t understand the question ppplll

tia_tia [17]

You have to find a common denominator for both fractions. I chose the denominator to be 10, so the 1/2 will become 5/10, and 1/5 will become 2/10.

Subtract 5/10 from 2/10. You will get -3/10.

Answer: -3/10

You can check your answer by solving 1/2-3/10=1/5 to see if it is true. (It is:)

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3 years ago

A group pre-orders 9 tickets for a sightseeing tour, even though they don't have the money to pay for them yet. Each ticket cost

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