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lakkis [162]
3 years ago
13

Answer 6-9 for 12 points

Mathematics
1 answer:
gulaghasi [49]3 years ago
7 0

Answer:

here ya go

Step-by-step explanation:

-5 + -4 = -9

17 - 6 = 11

(negatives cancel out) -13 + 5 = -8

(negs cancel out again) -6 + 3 = -3

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(High points) please solve with explanation
AysviL [449]

Answer:

The area and the perimeter of the picture are:

  • <u>Area = 160 cm^2</u>
  • <u>Perimeter = 67.31 cm</u>

Step-by-step explanation:

To find the area of that figure, you can find the area how if it was a rectangle and next subtract the area of the triangle in the upper part. The area of a rectangle could be found by the next formula:

  • Area of a rectangle = base * height

As you can see in the picture, the base is 16 cm and the height is 12 cm, then we replace in the formula:

  • Area of a rectangle = 16 cm * 12 cm
  • Area of a rectangle = 192 cm^2

Now, we calculate the area of the triangle to subtract to the area we found and obtain the real area, the formula to obtain the area of a triangle is:

  • Area of a triangle = (base * height) / 2

The height of the triangle is 8 cm, and the base is 8 cm too, because you subtract to the base of the rectangle (16 cm) the measurements in the upper part (16 - 4 - 4 = 8), Now, we replace in the formula:

  • Area of a triangle = (8 cm * 8 cm) / 2
  • Area of a triangle = (64 cm^2) / 2
  • Area of a triangle = 32 cm^2

We subtract to the found area:

  • Area of the picture = 192 cm^2 - 32 cm^2
  • <u>Area of the picture = 160 cm^2</u>

To find the perimeter, you must add all the sides of the picture, but, as you can see, there is a side that doesn't have the measurent, this is the hypotenuse of the triangle used before, but how we know the other sides, we can use Pythagorean theorem:

  • a^{2}+b^{2}=c^{2}

Where:

  • a = Opposite leg (8 cm)
  • b = Adjacent leg (8 cm)

So, we replace in the theorem:

  • a^{2}+b^{2}=c^{2}
  • (8 cm)^{2}+(8cm)^{2}=c^{2} (and we clear c)
  • \sqrt{(8 cm)^{2}+(8cm)^{2}} =c
  • \sqrt{64 cm^{2}+64cm^{2}} =c
  • \sqrt{128cm^{2}} =c
  • c = 11.3137085 cm
  • c ≅ 11.31 cm

At last, we add all the sides of the picture begining by the base and going by the left side:

  • Perimeter of the picture = 16 cm + 12 cm + 4 cm + 11.31 cm + 8 cm + 4 cm + 12 cm
  • <u>Perimeter of the picture = 67.31 cm approximately</u>.
7 0
3 years ago
*<br> Find the area of a triangle: Base of 8 cm Hight of 9 cm
Sliva [168]

Answer:

36 cm

Step-by-step explanation:

The formula to find the area of a triangle is A=1/2bh where b stands for base and h for height.

So, 8 times 9 equals 72, and 72 divided by 2 is 36.

5 0
2 years ago
Pythagoras was born about 582 bc. Isaac Newton was born in 1643 ad. How many years apart were they born?
malfutka [58]
B.C. counts down to 0, and that's when A.D. starts counting up. That means you can add 582 and 1643, to get their difference. Pythagoras and Newton were born 2,225 years apart.
8 0
3 years ago
What is the value of the expression below
Brrunno [24]
Hello :
625^1/4=((625)^1/2)^1/2 =√(√625) = √25 =5     because : √625 = 25 
4 0
3 years ago
Please help me!! I really need it!! I Could fail the 7th grade
babymother [125]

Answer:

Step-by-step explanation:

Price of one ticket   = $4

Price of t tickets = 4t

1) 4t + 72 > 400

   t >  (400-72)/4

2) 4t + 72 > 400      

4t + 72 - 72 > 400 - 72    {subtract 72 from both sides}

4t > 328

4t/4 > 328/4      {divide both sides  by 4}

t >  82

7 0
3 years ago
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