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3 years ago

Please help me asap, tyyyy!!

Mathematics

2 answers:

djyliett [7]3 years ago

7 0

Step-by-step explanation:

Hope this helps and learn well

Tju [1.3M]3 years ago

7 0

There you go this is your answer

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This figure is made up of a rectangle and parallelogram.

ivann1987 [24]

The area of the figure is 40 units. (rounded off from 39.998 units)

Step-by-step explanation:

1. Area of the figure = Area of Rectangle + Area of Parallelogram.

2. Naming points:

Let the rectangle consist of points A(-6,-1), B(-5,-5), C(3,-3) and D(2,1).

Let the parallelogram consist of points C(3,-3), D(2,1), E(2,7) and F(3,3).

3. Each coordinate has a point on the x-axis and a point on the y-axis. We shall refer to these points as x', x'' ,x''' and so on corresponding to the x-axis values of A, B, C and so on in that order till F. For the y-axis points, we will name them in the series of y', y'', y''' and so on.

In simple words, in A(-6,1), x' = -6; y' = -1

4. Formula for finding area:

Area of a rectangle = length (l) × width (w)

Area of a parallelogram = base (b) x height (h)

5. Finding area of the rectangle:

l = AD = $\sqrt{[x'''' - x']^{2} - [y'''' - y']^{2}}$

, i.e. AD = $\sqrt{[2 - (-6)]^{2} - [1 - (-1)]^{2}}$

, i.e. AD = √68 = 8.246 (rounded to 3 decimals) = l

Now, w = AB = $\sqrt{[x'' - x']^{2} - [y'' - y']^{2}}$

, i.e. AB = $\sqrt{[(-5) - (-6)]^{2} - [(-5) - (-1)]^{2}}$

, i.e. AB = √17 = 4.123 (rounded to 3 decimals) = w

Area of rectangle = l x w = 8.246 x 4.123 = 33.998 units.

6. Finding area of the parallelogram:

b = DE = 6 units (we can observe this from the graph, i.e. points from 1 to 7 on the y axis)

h = Height is the line drawn perpendicular to the base from point F, which as we can see is 1 unit long.

Hence, Area of parallelogram = b x h = 6 x 1 = 6 units.

7. Now, adding both, we can arrive at the final answer.

Area of the figure = Area of rectangle + Area of parallelogram,

i.e. 33.998 units + 6 units = 39.998 units. (can be rounded off to 40 units)

4 0

3 years ago

Find the domain and range

tresset_1 [31]

Domain: all real numbers
Range: y>-3

4 0

3 years ago

Maria studied the traffic trends in India. She found that the number of cars on the road increases by 10% each year. If there we

lord [1]

Answer:

b. 8,800,000.

Step-by-step explanation:

In maria study the number of cars on the road increases by 10% each year.

Total number of cars in the first year =80 million cars.

We will add 10% of 80 million to 80 milion to enable us get the number of cars for the second year.

For year 2 we have;

10% of 80,000,000+80,000,000

$\frac{10}{100}*80,000,000+80,000,000$

8,000,000 + 80,000,000

88,000,000

number of cars in year 2 = 88 million

We will add 10% of 88 million to 88 milion to enable us get the number of cars for the third year.

$\frac{10}{100}*88,000,000+88,000,000$

8,800,000+88,000,000

96,800,000

the number of cars on the road in year 3 compared to year 2 will just be the increase which is in BOLD. That is 8,800,000

<em>or simply subtract the number of cars in year 2 from that in year 3;</em>

96,800,000-88,000,000 = 8,800,000

8 0

4 years ago

Read 2 more answers

SOMEONE HELP ME PLEASE

Nikolay [14]

Answer:

<h3>Angle 6 = 101°</h3><h3>Angle 5 = 79°</h3><h3>Angle 7 = 79</h3>

Step-by-step explanation:

Angle 6 will 101°

This is because we can see that Angle 4 is alternate interior angle to Angle 6 and alternate interior angles are always equal.

<h2>So angle 6 will be 101°</h2>

Angle 7 = 79°

Here we can see that Angle 6 and angle 7 are supplementary which means it has a measure of 180°

So the value of Angle 7 will be

$180 - 101 = 79$

<h2>Hence the measure of angle 7 will be 79°</h2>

Angle 5 = 79°

Angle 7 and Angle 5 is vertically opposite to each other and we know that vertically opposite angles are always equal so the measure will be 79°

<h3>Hence the measure of Angle 5 will be 79°</h3>

3 0

2 years ago

What is x + 5 equals 10

Wittaler [7]

x+5= 10

move +5 to the other side

sign changes from +5 to -5

x+5-5= 10-5

x= 10-5

x= 5

Answer:

x= 5

7 0

3 years ago