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timama [110]
4 years ago
12

Find the area of rectangle ABCD

Mathematics
1 answer:
zubka84 [21]4 years ago
8 0
Find the length of the rectangle with pythagoras
You can use point (0,0) and (3,3) as the reference points.
l = √(Δx² + Δy²)
l = √((3-0)² + (3-0)²)
l = √(3² + 3²)
l = √18

Find the width of the rectangle with pythagoras
You can use point (0,0) and (2,-2) as the reference points.
w = √(Δx² + Δy²)
w = √((-2-0)² + (2-0)²)
w = √((-2)² + 2²)
w = √(4 + 4)
w = √8

Find the area of rectangle
A = l × w
A = √18 × √8
A = √9 × √2 × √4 × √2
A = 3 × √2 × 2 × √2
A = 12

The area of the rectangle is 12 unit length
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3 years ago
Name the sampling method used in each of the following situations:
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a) Convenient

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c) Stratified

d) Systematic

e) Random

Step-by-step explanation:

Samples may be classified as:

Convenient: Sample drawn from a conveniently available pool.

Random: Basically, put all the options into a hat and drawn some of them.

Systematic: Every kth element is taken. For example, you want to survey something on the street, you interview every 5th person, for example.

Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.

Stratified: Also divides the population into groups. However, then only some elements of the group are surveyed.

Situation a:

Asks all from a single group(sitting passengers), that is, convenint sample.

Situation b:

First she separates the students by row, then from each row, she chooses all students. So this is Cluster sampling.

Situation c:

The manager separates the stores by location, and then in each location, random customers are chosen. This is an example of Stratified sampling.

Situation d:

Marks for every fourth patron, that is, every 4th element. So Systematic sampling.

Situation e:

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6 0
4 years ago
Tom found some foreign coins in a box. The coins were marked m,a,t,h his uncle told him that each letter on the coin has a diffe
aleksandr82 [10.1K]

Answer:

He will receive $515 for the 17 coins

Step-by-step explanation:

In this question, we are asked to calculate how much will be received for 17 coins , with each coin having a specific value in the US currency.

Obviously, there are four coins, so let’s proceed to get the amount he gets per type of coins.

For the m coin, she has 3 pieces. One m coin has a value of $10, then the amount of coins she makes on the m coins will be 3 * 10 = $30

For the a coin, he has 7 pieces. One m coin has a value of $5, then the amount of coins she makes on the a coins will be 7 * 5 = $35

For the t coin, he has 5 pieces. One t coin has a value of $50, then the amount of coins she makes on the t coins will be 5 * 50= $250

For the h coin, she has 2 pieces. One h coin has a value of $100, then the amount of coins she makes on the h coins will be 2* 100 = $200

The total amount made on the 17 coins would thus be mathematically equal to;

Amount made on m coins + Amount made on a coins + Amount made on t coins + Amount made on h coins

The total amount = $30 + $35 + $250 + $200 = $515

6 0
4 years ago
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Step-by-step explanation:

3 0
3 years ago
a $7,000 principal is invested in two accounts, one earning 3% interest and another earning 7% interest. if the total interest f
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So Interest on this account is 3% of x = 0.03x

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Given that total interest for the year is $262

So we have

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0.04x = 228x

x = 228/0.04

x = 5700

Therefore Investment in one account s 5700 and the investment in other account is 7000-5700 = 1300

3 0
3 years ago
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