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1 year ago

PLEASE HELP!!!!!!!!!!!!!

Mathematics

1 answer:

Naddik [55]1 year ago

8 0

Answer:

Step-by-step explanation:

a) To find the length of diagonal XT, we can use the distance formula to get $\sqrt{(-3-5)^{2}+(4-(-2))^{2}}=10$

Since this is a rectangle, XT=YW, meaning YW=10 as well.

b) The area of a rectangle is given by length times width. The length is |-3-5|=8, and the width is |-2-4|=6. So the area is (8)(6)=48.

c) The perimeter is just 2(8+6)=28.

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In the first week of July a record 1120 people went to the local swimming pool in the second week 105 fewer people went to the p

Westkost [7]

Answer:

25%

Step-by-step explanation:

The number of people who went to the local swimming pool in the;

first week = 1120

second week ( 105 fewer people) = 1120 - 105 = 1015

third week (135 more people) = 1015 + 135 = 1150

fourth week (310 fewer people|) = 1150 - 310 = 840

The percent decrease in the number of people who went to the pool over these four weeks

= (1120 - 840)/1120 * 100%

= 280/1120 * 100%

= 1/4 * 100%

= 25%

It means that the number of people who went to the local swimming pool over the 4 weeks decreased by 25%

5 0

3 years ago

Evaluate the sum or explain why it diverges: Sigma^infinity_k = 3(-3/2)^k

LenaWriter [7]

Answer:

Step-by-step explanation:

Remember that in the geometric serie if | r | < 1 the serie converges and if | r | ≥1 the serie diverges.

I suppose that the serie starts at 0, so using the geometric serie with r = | $\frac{-3}{2}$ | > 1 the serie diverges.

8 0

2 years ago

Chelsea spent $26 on a magazine and some notepads. If the magazine cost $2 and each notepad cost $4, then how many notepads did

sesenic [268]

Answer:

Step-by-step explanation:

26-2=24 24/4=6

6 0

2 years ago

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Use four unit multipliers to convert 630 square yards into square inches

vagabundo [1.1K]

We are asked to determine the unit multipliers in order for us to convert 630 square yards to into square inches. Well, first we need to convert square yards to square feet and secondly, we convert square feet to square inches.
square yards -> square feet -> square inches
We also take note the following:
1 yard = 3 feet
1 foot = 12 inches
The solution in converting the unit is shown below:
630 yards² * (3 feet / 1 yard)² = 5670 feet²
5670 feet² * (12 inches / 1 foot)² = 816,480 inches²

The answer is 816,480 inches².

7 0

3 years ago

The data show the average monthly temperatures for two cities over a 6-month period. City 1: {20, 24, 40, 63, 76, 89} City 2: {4

Mrac [35]

Answer:

The MAD of city 2 is less than the MAD for city 1, which means the average monthly temperature of city 2 vary less than the average monthly temperatures for City 1.

Step-by-step explanation:

For comparing the mean absolute deviations of both data sets we have to calculate the mean absolute deviation for both data sets first,

So for city 1:

$Mean = x1 = \frac{20+24+40+63+76+89}{6}$

$x1 = \frac{312}{6}$

$x1 = 52$

Now to calculate the mean deviations mean will be subtracted from each data value. (Note: The minus sign is ignored as the deviation is the distance of value from the mean and it cannot be negative. For this purpose absolute is used)

$20-52 = -32=32\\24-52=-28=28\\40-52=-12=12\\63-52=11\\76-52=24\\89-52=37$

The deviations will be added then. $Mean Absolute Deviation = \frac{32+28+12+11+24+37}{6} \\=\frac{144}{6}\\=24$

So the mean absolute deviation for city 1 is 24 ..

For city 2:

$Mean = x2 = \frac{41+50+58+62+72+83}{6}$

$x2 = \frac{366}{6}$

$x2 = 61$

Now to calculate the mean deviations mean will be subtracted from each data value. (Note: The minus sign is ignored)

$41-61=-20=20\\50-61=-11=11\\58-61=-3=3\\62-61=1\\72-61=11\\83-61=22$

The deviations will be added then. $Mean Absolute Deviation = \frac{20+11+3+1+11+22}{6} \\=\frac{68}{6}\\=11.33$

So the MAD for city 2 is 11.33 ..

So,

The MAD of city 2 is less than the MAD for city 1, which means the average monthly temperature of city 2 vary less than the average monthly temperatures for City 1.

3 0

2 years ago

Read 2 more answers