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Korvikt [17]
3 years ago
6

Please help me with number 4!

Mathematics
1 answer:
Mariulka [41]3 years ago
8 0

Answer:

x = 20√2 and y = 20√3.

or x = 28.28 and y = 34.64 to the nearest hundredths.

Step-by-step explanation:

Take the 2 'inside' triangles. They are similar.

So we have  x / (60-40) = 40 / x

x/ 20 = 40 /x

x^2 = 800

x = √800

x = 20√2

y = √(800 + 20^2)

= √(1200)

= 20√3.

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Write first three common multiple of 3 , 5 and 6​
ratelena [41]

Answer:

LCM of 3, 5, and 6 is the smallest number among all common multiples of 3, 5, and 6. The first few multiples of 3, 5, and 6 are (3, 6, 9, 12, 15 . . .), (5, 10, 15, 20, 25 . . .), and (6, 12, 18, 24, 30 . . .) respectively. There are 3 commonly used methods to find LCM of 3, 5, 6 - by division method, by prime factorization, and by listing multiples.

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Find the difference <br> a. 41- 275 <br> b. -15 - 47<br> c. -72 - (-151) <br> d. 612 - (-144)
Gekata [30.6K]

Answer:

41-275=234

15-47=62

-72-{151}=223

612-144=174

Step-by-step explanation:

6 0
3 years ago
2 women and 7 girls can do a peice of work in 4 days.4 women and 4 girls can do the same work in 3 days. How long would it take
svetlana [45]

Answer:

x: work a woman can do in 1 day

y: work a girl can do in 1  day

Then

2x + 7y =1/4

4x + 4y =1/3

4x + 14y =2/4 (1)

4x + 4y  =1/3 (2)

=> Let (1) - (2), 10y =2/4-1/3 <=>10y = 1/6 <=> y = 1/(6x10) = 1/60 (work)

=> From (2),4x = 1/3 - 4x1/60 => 4x = 16/60 => x = 4/60 (work)

=> 1 day, a woman and a girl can do: 1/60+4/60 = 5/60 =1/12 (work)

Then, the day required for a woman and a girl to complete work: 12 days

3 0
3 years ago
Suppose that prices of recently sold homes in one neighborhood have a mean of $215,000 with a standard deviation of $8900. Using
bonufazy [111]

Answer:

The minimum percentage of recently sold homes with prices between $197,200 and $232,800 is 75%.

Step-by-step explanation:

Chebyshev Theorem

The Chebyshev Theorem can also be applied to non-normal distribution. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

An in general terms, the percentage of measures within k standard deviations of the mean is given by 100(1 - \frac{1}{k^{2}}).

In this question:

Mean of $215,000, standard deviation of $8900.

What is the minimum percentage of recently sold homes with prices between $197,200 and $232,800?

215000 - 2*8900 = 197200

215000 + 2*8900 = 232800

Within 2 standard deviations of the mean, so:

The minimum percentage of recently sold homes with prices between $197,200 and $232,800 is 75%.

4 0
3 years ago
J is the Midpoint of Segment MN. If MJ=23, Find MN.​
Helga [31]

Answer:

46?

Step-by-step explanation:

7 0
3 years ago
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