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Elina [12.6K]
3 years ago
5

45° b a 35 Help me if you can

Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
7 0

9514 1404 393

Answer:

  C)  a = 3√10; b = 3√5

Step-by-step explanation:

The side ratios in an isosceles right triangle are 1 : 1 : √2. This is a fact worth remembering. You know the triangle is isosceles because both acute angles are 45°, which means both legs are the same length.

If the leg lengths are 1, the Pythagorean theorem tells you the hypotenuse is ...

  c^2 = a^2 + b^2 . . . . . . for legs a, b, and hypotenuse c

  c^2 = 1^2 + 1^2 = 2

  c = √2

This tells you the <em>leg : leg : hypotenuse</em> ratios are as shown above.

__

What that means here is that b = 3√5, the same length as the one shown. It also means that ,,,

  a = (3√5)(√2) = 3√(5·2)

  a = 3√10

The only answer choice with the correct value of 'a' is (C).

  a = 3√10, b = 3√5

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Find the median mode range and any outliers. Then describe the data using them 77777,88,555,6,99,10101010,12
umka2103 [35]

Answer:

The median = 5

The mode  = 7

Range = 5

Outliers= None

Step-by-step explanation:

The median is the  value of the middle term.

The median is that value which divides the data into two equal halves.

7,7,7,7,7,8,8,5,5,5,6,9,9,10,10,10,10,12

There are 18 terms . So the middle term would be 9th term value= 5

The mode is the value which is repeated the most. = 7

Range is the difference between the highest and lowest value.= 12- 7= 5

The interquartile range, IQR= q3 - q1 where q3= 10 and q1= 7

IQR= 10 −7=3

The inner fences can be found out by

q1−(1.5*IQR) and q3+(1.5*IQR)

=7−(1.5*3) and 10+(1.5*3)

Inner fences: 2.5 and 14.5

The outer fences are q1−(3*IQR) and q3+(3*IQR)

=7−(3*3) and 10+(3*3)

Outer fences: -2 and 19

So if there are any outliers in this data set, they will either be less than -2 or greater than 19. But there are no outliers.

6 0
3 years ago
karen amad an hans have a total of 113 in their wallets? if hans has 4 times the amount of karen an karen has 7 dollars more tha
zvonat [6]

Amount in Han wallet = $ 80

Amount in amad wallet = $ 13

Amount in karen wallet = $ 20

<u>Solution:</u>

Let "h" be the amount in Han's wallet

Let "k" be the amount in karen wallet

Let "a" be the amount in amad wallet

<em><u>They have a total of 113 in their wallet</u></em>

Therefore,

h + k +a = 113 ------- eqn 1

<em><u>If hans has 4 times the amount of karen</u></em>

Amount with Han = 4 times the amount with Karen

h = 4k ------- eqn 2

<em><u>And karen has 7 dollars more than amad</u></em>

k = 7 + a

a = k - 7 ---------- eqn 3

<em><u>Substitute eqn 2 and eqn 3 in eqn 1</u></em>

4k + k + k - 7 = 113

6k - 7 = 113

6k = 113 + 7

6k = 120

k = 20

<em><u>Substitute k = 20 in eqn 3</u></em>

a = 20 - 7

a = 13

<em><u>Substitute k = 20 in eqn 2</u></em>

h = 4k = 4(20) = 80

h = 80

<em><u>Summarizing the results:</u></em>

Amount in Han wallet = $ 80

Amount in amad wallet = $ 13

Amount in karen wallet = $ 20

6 0
3 years ago
Find the measure of each interior angle and each exterior angle of a regular 16-gon
Lerok [7]
The measure of each interior angle would be (16-2)180=2520, but then you need to divide 2520 by 16, so the answer is 157.5 degrees.  Each exterior angle would be 22.5, because you take 360 and divide it by 16.
3 0
3 years ago
A baker started out with 12 cups of flour. She had 91/4 cups of flour left after the first batch of batter she made. She had 61/
galben [10]

She would have 1 cup of flour left.  

Work: 6 1/2 - 2 3/4 = 3 3/4 - 2 3/4 = 1


Hope this helps :)

4 0
3 years ago
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What is the graph used for
Nat2105 [25]
We need more information. what graph?
5 0
4 years ago
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