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3 years ago

Round 0.683 to the nearest tenth. a.0.7 b.0.68 c.1.0 d.0.6

Mathematics

1 answer:

valentina_108 [34]3 years ago

7 0

Answer:

A. 0.7

Step-by-step explanation:

If you look at your original decimal 0.683, to round to the nearest tenth you would look at the second digit that comes after the decimal so in this case the underlined one 0.6<u>8</u>3. If that second digit is 5 or greater, which it is, then you would round up to the next highest number from the 1st digit after the decimal, so in this case 7 :)

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Find the length of the hypotenuse of a right triangle with legs of lengths 12 ft and 16 ft answer

Finger [1]

Use Pythagorus theorem:

a²+b²=c²
(12)²+(16)²=c²
400=c²
√400=c
20=c

Therefore, the hypotenuse would be 20 ft.

Hope I helped :)

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Which is an equation of a line that has a slope of -1/3 and passes through the point (-5, 2)?

kramer

Answer:

y= -⅓x +⅓

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.

This form is also known as the point-slope form.

Since the slope is given to be -⅓, m= -⅓.

y= -⅓x +c

To find the value of c, substitute a pair of coordinates into the equation.

When x= -5, y=2,

2= -⅓(-5) +c

$2 = \frac{5}{3} + c \\ c = 2 - \frac{5}{3} \\ c = \frac{1}{3}$

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Factoring trinomials

Tcecarenko [31]

$c^2$ $2c^2 + 13c +21 \\4c^2 + 13(2)c + 42\\(2c + 6)(2c+7)\\(c+3)(2c+7)$

This is a way to factoring trinomials (there exist different equivalent methods).

Multiply the trinomial but the term accompanying $c^2$ . This is the second line. Then, you could take the square of the $4c^2$ , ant try to create a factor () () that will correspond to the expression in the second line. That is, we want $4c^2 + 13(2) c + 42 = (2c + ?) (2c + ?)$

In ? we put the corresponding numbers that, if we multiply them we will obtain 42, and if we add them we will obtain 13. This numbers are 6 and 7. Then, we have $(2c + 6) (2c +7)$

The last step is divide by the number that we multipy in the first step.

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