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soldi70 [24.7K]
2 years ago
8

11 The two trapezoids shown below are

Mathematics
1 answer:
Damm [24]2 years ago
3 0

Answer:

9.6 (D)

Step-by-step explanation:

You know that when they are similar, they have a ratio. Assume that WT is x. 6:10 is the ratio, or 3:5.

So, what number is x when x:16=3:5?

(two ways)

1. You can cross multiply

x/16 = 3:5, 3x16=5x

48=5x

x=9.6

2. You can do it by looking at the answer choices and simplifying them.

10:16=5:8

NO

3.8:16=1.9:8

NO

12:16=3:4

NO

9.6:16=4.8:8=

2.4:4

0.6:1

6:10

YES

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Subtract 3 to get:

7k^2-6k=0

Clearly, we can factor out a k to find that:

k(7k-6)=0

If either k or 7k-6 is zero, the whole expression is zero, so our solutions are zero and 6/7.
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A rectangle had an area of 4 square meters. The width is 1/5 meter. What is the length of the rectangle?
dolphi86 [110]

Answer:

20 meters

Step-by-step explanation:

Area = Length * Width

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4/0.2 = x

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3 years ago
A tailor is adding lace edging to 9 gowns. She needs 50 feet of lace for each gown. At the fabric store, lace is sold by the yar
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C. 150 layers of lace
Because you times the 50 three times because a yard is 3 feet
7 0
2 years ago
Which phrase best describes the graph of a proportional relationship?
sergey [27]

Answer:

A straight line passing through the origin

Step-by-step explanation:

A proportional relationship will have a particular quantity being related to another

For example, the relationship might be inverse or direct

In this case, we can have a straight line graph that passes through the origin

A straight line graph that passes through the origin would show the proportional relationship as it has no slope whatsoever

6 0
2 years ago
In how many ways can 100 identical chairs be distributed to five different classrooms if the two largest rooms together receive
Eva8 [605]

Answer:

There are 67626 ways of distributing the chairs.

Step-by-step explanation:

This is a combinatorial problem of balls and sticks. In order to represent a way of distributing n identical chairs to k classrooms we can align n balls and k-1 sticks. The first classroom will receive as many chairs as the amount of balls before the first stick. The second one will receive as many chairs as the amount of balls between the first and the second stick, the third classroom will receive the amount between the second and third stick and so on (if 2 sticks are one next to the other, then the respective classroom receives 0 chairs).

The total amount of ways to distribute n chairs to k classrooms as a result, is the total amount of ways to put k-1 sticks and n balls in a line. This can be represented by picking k-1 places for the sticks from n+k-1 places available; thus the cardinality will be the combinatorial number of n+k-1 with k-1, {n+k-1 \choose k-1} .

For the 2 largest classrooms we distribute n = 50 chairs. Here k = 2, thus the total amount of ways to distribute them is {50+2-1 \choose 2-1} = 51 .

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As a result, the total amount of possibilities for the chairs to be distributed is 51*1326 = 67626.

7 0
3 years ago
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