What is the decimal of 32/100

Explain how to solve the equation and then check the solution. 9 = q – 4

Vika [28.1K]

Assignment: $\bold{Solve \ And \ Check \ Equation: \ 9=q-4}$

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Answer: $\boxed{\bold{q=13}}$

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Explanation: $\downarrow\downarrow\downarrow$

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[ Step One ] Switch Sides

$\bold{q-4=9}$

[ Step Two ] Add 4 To Both Sides

$\bold{q-4+4=9+4}$

[ Step Three ] Simplify

$\bold{q=13}$

[ Step Four ] Check Your Work

$\bold{13 \ - \ 4 \ = \ 9}$

[ Step Five ] Question: Is Equation Correct

$\bold{Equation \ Is \ Correct, \ Therefore \ q=13}$

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$\bold{\rightarrow Mordancy \leftarrow}$

5 0

3 years ago

Read 2 more answers

Polygon CCC has an area of 404040 square units. K 2ennan drew a scaled version of Polygon CCC using a scale factor of \dfrac12 1

nikdorinn [45]

Answer:

Area of polygon D = 10 square units

Step-by-step explanation:

Given:

Polygon C has an area of 40 square units.

It is scaled with a scale factor of $\frac{1}2$ to form a new polygon D.

To find:

The area of polygon D = ?

Solution:

When any polygon is scaled to half, then all the sides of new polygon are half of the original polygon.

And the area becomes one-fourth of the original polygon.

Let us consider this by taking examples:

First of all, let us consider a right angled triangle with sides 6, 8 and 10 units.

Area of a right angled triangle is given by:

$A = \dfrac{1}{2} \times Base \times Height\\\Rightarrow A = \dfrac{1}{2} \times 6 \times 8 = 24\ sq\ units$

If scaled with a factor $\frac{1}{2}$ , the sides will be 3, 4 and 5.

New area, A':

$A' =\dfrac{1}{2} \times 3 \times 4 = 6\ sq\ units = \dfrac{1}4\times A$

i.e. Area becomes one fourth.

Let us consider a rectangle now.

Sides be 8 and 10 units.

Area of a rectangle, A = $Length \times Width$ = 8 $\times$ 10 = 80 sq units.

Now after scaling, the sides will be 4 and 5 units.

New Area, A' = 4 $\times$ 5 =20 sq units

So, $\bold{A' = \frac{1}4 \times A}$

Now, we can apply the same in the given question.

$\therefore$ Area of polygon D = $\bold{\frac{1}{4}}$ $\times$ Area of polygon C

Area of polygon D = $\bold{\frac{1}{4}}$ $\times$ 40 = 10 sq units

4 0

3 years ago

In the diagram below, O is circumscribed about quadrilateral DEFG. What is the value of x?

Fofino [41]

Answer:

A. 70

Step-by-step explanation:

The given quadrilateral DEFG is a cyclic quadrilateral.

$\angle F+70\degree=180\degree$ ...opposite angles of a cyclic quadrilateral are supplementary.

$\implies \angle F=180\degree-70\degree$

$\implies \angle F=110\degree$

The sum of angles in a quadrilateral is 360 degrees.

$x-10+70+110+120=360$

$x+290=360$

$x=360-290$

$x=70\degree$

7 0

3 years ago

Q2 (i). A line “t” is parallel to 3y = 6x + 9. Find the slope of this line “t”. (ii) Another line “r” is perpendicular to the li

Mariulka [41]

Answer: 6 and -1/6

Step-by-step explanation:

solving for y. You get y = -2x +5, so the slope is –2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6.

7 0

3 years ago

Read 2 more answers

The graph shows the dilation of ΔABC with the origin as its center. Which rule describes this transformation? A) (x, y) → (2x, 2

podryga [215]

Note: Since, you have not added the graph. So, I will give you a general overview of the concept of dilation, the understanding of which will make you clear your concept.

Step-by-step explanation:

We know that a dilation is the kind of transformation which produces an image which has the same shape as the original object, but having a different size.

Here are some key factors regarding dilation:

Enlargement occurs when a dilation does create a larger image.

Reduction occurs when a dilation does create a smaller image.

A dilation shrinks or stretches the original object.
If the scale factor > 1, the image will be a stretch (enlargement)
If the scale factor is between 0 and 1, the image will be shrunk (reduction)
If the scale factor = 1, the original object and the image will be congruent

Here is the impact of dilation when (x, y) → (2x, 2y):

Dilation with scale factor 2, will have the rule as (x, y) → (2x, 2y). The image will be a stretch (enlargement) as the scale factor > 1.
The location of the new coordinates of the image can be obtained by multiplying the coordinates of the original figure by 2.

For example, the coordinates of the image of a point A(4, 8) will be A'(2×4, 2×8) or A'(8, 16) after the dilation of scale 2 at the origin.

Here is the impact of dilation when (x, y) → (0.5x, 0.5y):

Dilation with scale factor 0.5, will have the rule as (x, y) → (0.5x, 0.5y). The image will be shrunk (reduction) as the scale factor < 1.
The location of the new coordinates of the image can be obtained by multiplying the coordinates of the original figure by 0.5.

For example, the coordinates of the image of a point A(4, 8) will be A'(0.5×4, 0.5×8) or A'(2, 4) after the dilation of scale 0.5 at the origin.

Keywords: dilation, transformation, enlargement, reduction

Learn more about dilation from brainly.com/question/13846651

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8 0

3 years ago

What is the decimal of 32/100​

What is the decimal of 32/100