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3 years ago

Express your final answer in simplest form 3/5 + -7/8

Mathematics

1 answer:

frez [133]3 years ago

5 0

Answer:

- 0.5

Step-by-step explanation:

you first change the fractions numbers in to decimal form

so; 2/5 = 0.4

-7/8 = - 0.875

hence; 0.4 + (-0.875)

= - 0.475

in to its simplest form = - 0.5

the answer is - 0.5

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The scores on an exam are normally distributed with a mean of 77 and a standard deviation of 10. What percent of the scores are

Shtirlitz [24]

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3 years ago

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Given right triangle ABCABC with altitude \overline{BD}

Alex

Answer:

$x = 2\sqrt{11}$

Step-by-step explanation:

AD = 4

AC = 11

DC = 11 - 4 = 7

First, find BD using the right triangle altitude theorem:

$BD = \sqrt{AD*DC}$

Plug in the values

$BD = \sqrt{4*7}$

$BD = 2\sqrt{7}$

Use pythagorean theorem to find x:

x² = AD² + BD²

Plug in the values

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$x^2 = 16 + (4*7)$

$x^2 = 16 + 28$

$x^2 = 44$

Take the square root of both sides

$\sqrt{x^2} = \sqrt{44}$

$x = \sqrt{44}$

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3 years ago

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What is the x in 4x-5=8

ale4655 [162]

Answer:

x= 3.25

Step-by-step explanation:

4x-5=8

1. Take the -5 to the other side as a plus so now your question is

4x=13

2. to get the x by its self divide both sides by 4.

13 divided by 4 is 3.25

therefore x=3.25

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3 years ago

How do I solve for question number 6

Natali5045456 [20]

Answer:

$18 + 18\sqrt{3}$

Step-by-step explanation:

The rectangle has been split into two right triangles. The hypotenuse of the triangle (the diagonal) is 18. The angle in the triangle is 30. All right triangles have unique relationships between their sides depending on the angles. This triangle must be a 30 - 60 - 90 triangle and its sides will be a scaled version of $1 - \sqrt{3} -2$ .

The side 2 correspond to the hypotenuse of length 18. 2*9 = 18 and so the scale factor is 9. To find the remaining sides, multiply each side length by 9 from $1 - \sqrt{3} -2$ .

It becomes $9 - 9\sqrt{3}-18$ . So the rectangle is 9 by $9\sqrt{3}$ .

The perimeter of the rectangle is $9 + 9 + 9\sqrt{3} + 9\sqrt{3}=18 + 18\sqrt{3}$

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3 years ago