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7nadin3 [17]
3 years ago
11

What is 0.04 divided by 8

Mathematics
2 answers:
stiks02 [169]3 years ago
7 0
THE ANSEWR 0.04 -:- 8 = 0.005
Vitek1552 [10]3 years ago
4 0

It would be equal to 0.005 in decimal form.

5/1000 in fraction form.

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You want to enlarge a 4 x 5 inch photo to fit into a 1 inch wide frame
skelet666 [1.2K]

The 4•x by 5•x inner dimensions of the 53 inches outer perimeter picture frame, the 1 inch wide frame and the 4 × 5 inch picture to be enlarged, gives;

a. The outer perimeter equation is presented as follows;

18•x + 8 = 53 inches

b. The scale factor required for the enlargement of the picture is 2.5

<h3>Which method can be used to write the equation and find the scale factor?</h3>

The dimensions of the photo = 4 × 5 inch

Width of the frame = 1 inch

Outer perimeter of the frame = 53 inches

The width of the inside of the picture frame = 4•x

The height of the inside of the picture frame = 5•x

a. The equation for the outer perimeter of the picture frame is therefore;

2 × (4•x + 1 + 1) + 2 × (5•x + 1 + 1) = 53

Which gives;

2 × (4•x + 2) + 2 × (5•x + 2) = 53

8•x + 4 + 10•x + 4 = 53

A simplified equation for the outer perimeter of the picture frame is therefore;

  • 18•x + 8 = 53

b. Solving the above equation, we have;

18•x + 8 = 53

18•x = 53 - 8 = 45

18•x = 45

Therefore;

x = 45 ÷ 18 = 2.5

x = 2.5

The width and height of the picture frame are therefore;

Width = 4•x = 4 × 2.5 = 10

Height = 5•x = 5 × 2.5 = 12.5

Which gives;

Width = 10 inches

Height = 12.5 inches

The enlargement factor, sf, is given by the ratio of a side of the picture frame to a side of the picture as follows;

sf = 12.5/5 = 2.5

  • The factor by which to enlarge the picture frame is 2.5

Learn more about linear scale factors here:

brainly.com/question/19381630

#SPJ1

3 0
2 years ago
If you own 3 traditional IRAs and you are 58 years old, your combined pre-tax contributions may be____.
amm1812
1/2 would be the answer

5 0
3 years ago
What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (2,
zhannawk [14.2K]

The equation of the line in point-slope form is: C. y − 5 = −(x − 2).

<h3>What is the Point-Slope Equation of a Line?</h3>

A line with a slope (m) and a point (a, b) is represented in point-slope form as, y - b = m(x - a).

Slopes of perpendicular lines are negative reciprocals of each other. Find the slope of the line in the graph given as follows:

Slope (m) = rise/run = 3 units/3 units = 1

Negative reciprocal of 1 is -1.

The slope of the line would be m = -1.

Substitute m = -1 and (a, b) = (2, 5) into y - b = m(x - a) to wrote the equation:

y - 5 = -1(x - 2)

y − 5 = −(x − 2)

Learn more about point-slope form on:

brainly.com/question/24907633

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5 0
2 years ago
Not sure how to solve 2sinxcosx+cosx=0  Could you help?
kaheart [24]
2sinxcosx+cosx=0\\\\cosx(2sinx+1)=0\iff cosx=0\ \vee\ 2sinx+1=0\\\\cosx=0\ \vee\ 2sinx=-1\ /:2\\\\cosx=0\ \vee\ sinx=-\frac{1}{2}\\\\x=\frac{\pi}{2}+k\pi\ \vee\ x=-\frac{\pi}{6}+2k\pi\ \vee\ x=\frac{7\pi}{6}+2k\pi\ to\ k\in\mathbb{Z}
6 0
3 years ago
Please Help!<br> The following is an isosceles trapezoid, find m &lt; J
ra1l [238]

Answer:

<em>The measure of angle J is 44°</em>

Step-by-step explanation:

<u>Isosceles Trapezoid</u>

The isosceles trapezoid has its non-parallel sides of the same length, thus the angles they form with their respective parallel sides are congruent.

It means: Angle J is congruent with angle K and angle M is congruent with angle L

The sum of angles in a trapezoid is 180*(4-2)=360°

Thus:

m\angle J+m\angle K+m \angle M+m\angle L = 360^\circ

7x+2+7x+2+25x-14+25x-14=360

Joining like terms:

64x-24=360

Adding 24:

64x=384

Dividing by 64:

x=6°

Thus:

m\angle J = 7*6+2=44^\circ

m\angle M = 25*6-14=136^\circ

The measure of angle J is 44°

3 0
3 years ago
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