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diamong [38]
3 years ago
5

Please help! 56 points. Greatly appreciated!

Mathematics
1 answer:
VashaNatasha [74]3 years ago
6 0

Answer:

The first thing you should do for this case is to draw the ordered pairs in the plane and join the points.

 The area you are looking for is the area of a rectangle plus the area of a triangle.

 Thus, the total area will be

 At = (8) * (4.5) + (1/2) * (4) * (2.5) = 41

 answer

 the area of the city is 41 units^2

Step-by-step explanation:

41 square miles If you draw the outline of the city, you'll realize that if you draw a line from point B to point D, that you can subdivide the city into a triangle and a trapezoid. After performing the division, you can then calculate the area of both polygons and the add their areas together. So first, let's deal with the trapezoid ABDE. The area of a trapezoid is the average of the length of the parallel sides multiplied by the height. The parallel sides are AB and DE. So: ((18-10)+(14-10))*(9-4.5)/2 =(9 + 4)*(4.5)/2 = 12*4.5/2 = 27 Now for the area of triangle BCD. The area of a triangle is 0.5*b*h where b is the base and h the height. I'll use BC as the base and the distance from BC to D as the height. So: (9-2)*(18-14)/2 = 7*4/2 = 14 And now to add the areas. 27 + 14 = 41 So the area of the city is 41 square miles. Note: The subdivision used is not the only possible subdivision, just one of the easier ones. I could have divided the city area into 3 triangles ABE, BDE, and BCD and solved it that way instead. It was just a happy coincidence that AB and DE were parallel and as such I was able to use trapezoid ABDE instead of the two triangles ABE and BDE.

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Solve for x.<br><br><br><br> -3x = -15<br><br> x = -5<br> x = -45<br> x = 5
Ugo [173]

Answer:

x=5

Step-by-step explanation:

its five because if you replace x with 5 you get 5*-3. which equals -15

3 0
3 years ago
In the fraction 15⁄7, which of the following is 15? Numerator Divisor Denominator Factor
Colt1911 [192]

Answer is Numerator.

In a fraction, the denominator is on the bottom and the numerator is on top. A factor is a number, when multiplied with another number, that equals the final product. For example: 1, 2, 3, 6, 9, 18 are all factors of 18. A divisor is something you are dividing by in a division problem.

3 0
3 years ago
Help me, please I need the answer
Len [333]

Considering it's dimensions and the formula, the volume of the cuboid is of 160 cm³.

<h3>What is the volume of a rectangular prism?</h3>

The volume of a rectangular prism, such as a cuboid, is given by the <u>area of the base multiplied by the height</u>, that is:

V = Ab x h

In this problem, the base is a square of sides 4 cm, with the height of 10 cm, hence the volume is given by:

V = 4² x 10 = 160 cm³.

More can be learned about the volume of a cuboid at brainly.com/question/22694657

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6 0
3 years ago
3. Adrian is 8 years older than his brother, Jose. In 3 years he will be twice as old as his brother. Find the present age of ea
mart [117]

Answer:

Age of Jose =  5 years

Age of Adrian = 13 years

Step-by-step explanation:

Let:

Age of Jose = x

Age of Adrian = x+8

After 3 years

Age of Jose = x+3

Age of Adrian = x+8+3 = x+11

Now, we are given, in 3 years he will be twice as old as his brother.

So, we can write

Age of Adrian = 2 (Age of Jose)

x+11 = 2(x+3)

x+11=2x+6

2x-x=11-6

x=5

So, we get value of x = 5

Now, the present ages will be:

Age of Jose = x = 5 years

Age of Adrian = x+8 = 5+8 = 13 years

5 0
3 years ago
#9. Find the area of the triangle. Thanks!
Phoenix [80]

Answer:

C

Step-by-step explanation:

The area (A) of the triangle is calculated using

A = \frac{1}{2} ab sinC

where a, b are the 2 sides and C is the angle between them

here a = 9, b = 15 and C = 70°, hence

A = 0.5 × 9 × 15 × sin70° = 63.4 cm² → C

7 0
4 years ago
Read 2 more answers
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