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3 years ago

34.564 to the nearest 10

2 answers:

5 0

34.6

6 rounds up Rounding numbers to the nearest 10 means finding which 10 they are nearest to.

pshichka [43]3 years ago

3 0

34.6 we do this because if our second number after the decimal point is 5 or higher we round up because we are passed the halfway mark and this means we are closer to the higher number

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Write an equation in slope - intercept form for the line that satisfies each set of conditions

ivanzaharov [21]

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

(1)

Rearrange 3x + 2y = 1 into this form by subtracting 3x from both sides

2y = - 3x + 1 ( divide all terms by 2 )

y = - $\frac{3}{2}$ x + $\frac{1}{2}$ ← in slope- intercept form

with slope m = - $\frac{3}{2}$

Parallel lines have equal slopes, thus

y = - $\frac{3}{2}$ x + c ← is the partial equation

To find c substitute (- 6, 15) into the partial equation

15 = 9 + c ⇒ c = 15 - 9 = 6

y = - $\frac{3}{2}$ x + 6 ← equation of line

(2)

Rearrange x + 2y = 8 into slope- intercept form by subtracting x from both sides

2y = - x + 8 ( divide all terms by 2 )

y = - $\frac{1}{2}$ x + 4 ← in slope- intercept form

with slope m = - $\frac{1}{2}$

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$ = - $\frac{1}{-\frac{1}{2} }$ = 2, thus

y = 2x + c ← is the partial equation

To find c substitute (5, - 2) into the partial equation

- 2 = 10 + c ⇒ c = - 2 - 10 = - 12

y = 2x - 12 ← equation of line

3 0

3 years ago

Read 2 more answers

A pole, 4m high, stands, vertically, on

Lostsunrise [7]

Answer:

Length of the shadow of the pole is 6.93 metres

Step-by-step explanation:

Given:

Height of the pole = 4 m

The angle sun makes with the horizontal = 30 degrees

To Find:

Length of the shadow of the pole = ?

Solution:

The tangent ratio is the value received when the length of the side opposite of angle theta is divided by the length of the side adjacent to angle theta

Let x be the length of the shadow

According to the tangent ratio

$tan {\theta} = \frac{opposite}{adjacent}$

On substituting the values,

$ta( {30^{o}) = \frac{4}{x}$

$x = \frac{4}{tan ({30^{o})}}$

$x =\frac{4}{0.57735027}$

x = 6.93 m

6 0

3 years ago

Find the perimeter of a square with side a. Are the perimeter of the square and the length of its side directly proportional qua

inna [77]

The perimeter of a square with side a = 7.2 cm is 28.8 cm. Yes there exists a direct proportional relationship between Side length and Perimeter of square

<h3>Solution:</h3>

Given that side of square "a" = 7.2 cm

We have to find the perimeter of square

The perimeter of square is given as:

Perimeter of square = 4a

Where "a" represents the length of side of square

Substituting the given value a = 7.2 cm in above formula, we get perimeter of square

Perimeter of square = 4(7.2) = 28.8 cm

Are the perimeter of the square and the length of its side directly proportional quantities?

$\begin{array}{l}{\text { perimeter of square }=4 a=4 \times \text { length of side }} \\\\ {\frac{\text { perimeter of square }}{\text { length of side }}=4}\end{array}$

The Perimeter is equal to a constant times the Side length, or the Perimeter divided by the Side length is equal to four. So this is definitely a proportional relationship between Side length and Perimeter.

Two values are said to be in direct proportion when an increase in one results in an increase in the other.

So when length of sides increases, perimeter also increases

Hence perimeter and length of side of square are directly propotional quantities

4 0

3 years ago

SOMEONE HELP ASAP PLEASEEEEE!!!!!

Murrr4er [49]

Answer:

the answer is 35% probability

your welcome

5 0

3 years ago

It is now 11:15 A.M. What time will it be in three quarters of an hour?

tangare [24]

Answer:

Ur mom

Step-by-step explanation:

Ur mom JK here's the answer 11:45 A.M. because 15 + 15 + 15 = 45 15 is a quarter so yeah Bois is 11:45 A.M Good luck

7 0

2 years ago