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Nuetrik [128]
3 years ago
15

Find the value of x and y please

Mathematics
1 answer:
valentinak56 [21]3 years ago
8 0

Answer:

x = 20 and y = 14.14213562 ( you can simplify it)

Step-by-step explanation

x = the opposite side divided by sin 45 ( the angle)

    10\sqrt 2 / sin(45)

    20

y = the opposite side divided by the adjacent side

    10\sqrt2 / tan(45)

   14.14213562

    14.14

You might be interested in
Area of a Triangle
jek_recluse [69]

Answer:

3.51 (round to the nearest hundreds)

Step-by-step explanation:

PART A

slope of the line passing through AC : (6-1)/(1-2) = 5/-1 = -5

equation of the line passing through B and perpendicular to AC:

y-3 = 1/5(x-3)

y-3 = 1/5x -3/5

y = 1/5 x - 3/5 + 3

y = 1/5 x + (-3+15)/5

y = 1/5 x + 12/5

PART B

line that passes through the points A and C

y-1 = -5(x-2)

y = -5x+10 + 1

y = -5x + 11

Interception of the lines

y = 1/5x + 12/5

y = -5x + 11

-5x + 11 = 1/5x + 12/5

-25x +55 = x + 12

26x = 43

x = 43/26

y = -5(43/26) + 11

y= -215/26 + 11

y = (-215+286)/26 = 71/26

D (1.65, 2.73)

PART C

AC = \sqrt{(1-2)^2 + (6-1)^2} = \sqrt{1 + 25} = \sqrt{26} = 5,09902

BD = \sqrt{(3-1.65)^2 + (3-2.73)^2} = 1,376735

PART D

AREA = (5,09902 * 1.376735)/2 = 3,509999

8 0
4 years ago
Os ths the answer 19×6=114
SSSSS [86.1K]
I believe the answer is correct
5 0
4 years ago
The number of nails of a given length is normally distributed with a mean a length of 5 in. and a
malfutka [58]

Answer:

82 nails

Step-by-step explanation:

4.97 and 5.03   are both one standard deviation from the mean...

z scores    . 8413    and  .1587

.8413 - .1587 = .6826    or    68.26 %  of the nails are in this range

68.26 %  *  120 = ~82 nails

   

7 0
2 years ago
A customer from Cavallaro's Fruit Stand picks a sample of 5 oranges at random from a crate containing 75 oranges, of which 6 are
boyakko [2]

Answer:

0.341 is the probability that the sample contains 1 or more rotten oranges.

Step-by-step explanation:

We are given the following information:

We treat rotten as a success.

Number of oranges = 75

Number of rotten orange = 6

P(Rotten orange) =

=\dfrac{6}{75} = 0.08

Then the number of rotten oranges follows a binomial distribution, where

P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 5

We have to evaluate:

P(x \geq 1) =1 - P(x = 0)\\\\=1- \binom{5}{0}(0.08)^0(1-0.08)^5\\\\= 1 - 0.659\\= 0.341

0.341 is the probability that the sample contains 1 or more rotten oranges.

7 0
4 years ago
How many cups are in 5 quarts? (1 quart = 4 cups)​
Ber [7]

Answer:

20

Step-by-step explanation:

4 Cup's = 1 Quarter so do

4 x 5 because that is how many quarters you have and that is how you get the answer

8 0
3 years ago
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