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3 years ago

15

9) $36,500 at 2% compounded

1 answer:

arsen [322]3 years ago

8 0

Answer: I think it is B

Step-by-step explanation:

Sry if wrong pls don’t be mad

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Find the length of a rectangle with a diagonal of 10 and a height of 8.

Dmitry_Shevchenko [17]

Answer:

The length of the rectangle is 6.

Step-by-step explanation:

Given: The diagonal of a rectangle is 10 and the height is 8.

Please understand, that a diagonal, divides the rectangle into two tringles.

To find the length of the rectangle, you can use Pythagoras on one of the right sided triangles, because the length of the triangle, is also the length of the rectangle!

<em>EXTRA:</em>

<em>If</em><em> you know the special 3 4 5 triangle, a so called Pythagorean Triple, then you can "see" the simularity between the numbers.</em>

<em>Instead of 5, a diagonal of 10 is given (factor of 2 bigger).</em>

<em>Instead of 4, the height of 8 is given (factor of 2 bigger</em><em>)</em><em>.</em><em> </em><em>By scaling the Pythagorean Triple 3 4 5 by a factor of 2, you get the numbers 6 8 10. Could it be, that the number we need to find, is six?</em>

Try to verify, by calculating the missing number (which is the length of the rectangle we are looking for).

a² + b² = c²

a = length (and is unknown)

b = height = 8

c = hypothenusa/diagonal = 10

Substitute the numbers given:

a² + 8² = 10²

Subtract 8² left and right of the = sign.

a² +8² -8² = 10² - 8²

a² + 0 = 100 - 64

a² = 36

a = + - √36

a = + - 6

<em>EXTRA</em><em>:</em>

<em>You</em><em> can ignore the -√36 = -6 part of the solution, because a length of -6 has no meaning here.</em>

a = 6

So, the length of the triangle is 6 and thus, the length of the rectangle is also 6.

8 0

3 years ago

ASAPPPPPPPPPPPPPPPPPPP HELP 50 PTS AND BRAINLY EST

horrorfan [7]

answer is 1 1/2

hope it helps...!!!

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2 years ago

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Need help solving this problem

dimulka [17.4K]

Answer:

17 i think

Step-by-step explanation:

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3 years ago

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What is the complement and supplement of 74°?

serious [3.7K]

I think it's 90 degrees

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3 years ago

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HELP ASPAP!!!!! WILL MARK BRAINIEST standard deviation

Umnica [9.8K]

Answer:

The standard deviation of the given data is 11.34.

Step-by-step explanation:

We have to find the standard deviation for the given data;

Grade on No. of students

test (X) with that score (f) $X \times f$ $( X - \bar X)^{2}$ $f \times ( X - \bar X)^{2}$

50 1 50 1073.218 1073.2176

57 2 114 663.578 1327.1552

60 4 240 518.018 2072.0704

65 3 195 315.418 946.2528

72 3 216 115.778 347.3328

75 12 900 60.218 722.6112

77 10 770 33.178 331.776

81 6 486 3.098 18.5856

83 6 498 0.058 0.3456

88 9 792 27.458 247.1184

90 12 1080 52.418 629.0112

92 12 1104 85.378 1024.5312

95 2 190 149.818 299.6352

99 4 396 263.738 1054.9504

100 <u> 5 </u> <u> 500 </u> 297.218 <u> 1486.088 </u>

Total <u> 91 </u> <u> 7531 </u> <u> 11580.68 </u>

Firstly, the mean of the above data is given by;

Mean, $\bar X$ = $\frac{\sum X \times f}{\sum f}$

= $\frac{7531}{91}$ = 82.76

Now, the standard deviation of the data is given by;

Standard deviation, S.D. = $\sqrt{\frac{\sum f(X-\bar X)^{2} }{\sum f-1}}$

= $\sqrt{\frac{11580.68}{91-1}}$

= 11.34

Hence, the standard deviation of the given data is 11.34.

5 0

3 years ago