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2 years ago

Change to a decimal. Round to hundredths if necessary. 4 5/8

Mathematics

1 answer:

stepan [7]2 years ago

5 0

Answer: The answer is 4.63✨

Step-by-step explanation: You have to round to 4.625 to the nearest hundredth consider the thousandths’ value of 4.625, which is 5 and equal or more than 5. Therefore, the hundredths value of 4.625 increases by 1 to 3.

4.625 rounded to the nearest hundredth = 4.63

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A farmer wants to plant an apple orchard. His design consists of 10 rows of trees, where each row is 29.79 feet long. When he ge

Elis [28]

First divide 29.79 feet by 6
$\frac{29.79}{6} = 4.97$
But since you can't plant only a fraction of a tree, you can plant a maximum of 4 trees per row.
Now there are ten rows so...
10×4 = 40
You can plant 40 trees at the maximum.

7 0

3 years ago

Convert into a decimal degree measure. 165° 37' 44"

andrew11 [14]

Answer:

165.628° (The 8 has a line over it signalizing that it repeats forever, but I didn't know how to put it in.)

Step-by-step explanation:

Since 165 is whole number, it is a full degree. Since each minute is equal to 1/60 degrees, you need to multiply 37 by 1/60. Since each second is equal to 1/3600 degrees, multiply it 1/3600 by 44. Add them all together.

165 + 37 x 1/60 + 44 x 1/3600

simplify: 74533/450

Convert the fraction into a decimal by dividing the numerator by the denominator and you get 165.628° (with a repeating 8).

4 0

3 years ago

The graph of f passes through (-6,9) and is perpendicular to the line that has an x-intercept of 8 and a y-intercept of -24 the

Valentin [98]

Given:

The graph of f passes through (-6,9).

It is perpendicular to the line that has an x-intercept of 8 and a y-intercept of -24.

To find:

The equation of the function f.

Solution:

The equation of line on which graph of f is perpendicular, is

$\dfrac{x}{a}+\dfrac{y}{b}=1$

where, a and b are x and y intercepts respectively.

$\dfrac{x}{8}+\dfrac{y}{-24}=1$

Multiply both sides by 24.

$3x-y=24$

Slope intercept form is

$y=3x-24$

Slope of this line is 3 and y-intercept is -24.

Product of slopes of two perpendicular lines is -1.

Let the slope of f is m. So,

$m\times 3=-1$

$m=-\dfrac{1}{3}$

Slope of m is -1/3 and it passes through (-6,9). So, the equation of function f is

$y-y_1=m(x-x_1)$

$y-9=-\dfrac{1}{3}(x-(-6))$

$y-9=-\dfrac{1}{3}(x+6)$

$y-9=-\dfrac{1}{3}x-2$

$y=-\dfrac{1}{3}x-2+9$

$y=-\dfrac{1}{3}x+7$

Put y=f(x).

$f(x)=-\dfrac{1}{3}x+7$

Therefore, the required function is $f(x)=-\dfrac{1}{3}x+7$ .

7 0

2 years ago

Determine if the segment lengths form a triangle. If so, would the triangle be acute, right, or obtuse? 4.1, 8.2, 12.2

goldfiish [28.3K]

Three line segments can form a triangle if the length of the longest segment is greater than the sum of the lengths of the shorter segments.

$4.1 + 8.2 \ \textgreater \ 12.2 \\
12.3 \ \textgreater \ 12.2 \\
true$
They can form a triangle.

Now if c is the length of the longest side and a and b are the lengths of the shorter sides, then:
- if $c^2=a^2+b^2$ , the triangle is right
- if $c^2\ \textless \ a^2+b^2$ , the triangle is acute
- if $c^2\ \textgreater \ a^2+b^2$ , the triangle is obtuse

$4.1^2+8.2^2=16.81+67.24=84.05 \\
12.2^2=148.84 \\ \\
148.84\ \textgreater \ 84.05$
The triangle is obtuse.

The answer is D.

4 0

3 years ago

Pls help meeeee thank you

Alex787 [66]

Answer:

Step-by-step explanation: learn yourself yw -dabay

6 0

3 years ago