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Andreas93 [3]
2 years ago
15

Help.. only if you know

Mathematics
1 answer:
Andrew [12]2 years ago
7 0
I dont know but im a material girl with balls
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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
Sir Ving Spoon earned $5,436 on his $7,550 certificate of deposit. If he had the CD for 12 years, what simple interest rate did
Lilit [14]

6% or 0.06 is the simple interest rate the bank pays him.

<u>Step-by-step explanation:</u>

Sir Ving Spoon earned $5,436 on his $7,550 certificate of deposit.

From this given information,

It can be determined that the Principal amount is $7550 and the interest amount is $5436.

The CD is for 12 years. Therefore, the number of years is 12.

<u>To find the interest rate (r) :</u>

Using the simple interest formula,

Interest = P×r×t

where,

  • P is the principal amount = $7550
  • r is the rate of interest.
  • t is the number of years = 12

⇒ 5436 = 7550 × r × 12

⇒ 5436 = 90600 × r

⇒ r = 5436 / 90600

⇒ r = 0.06

Multiply by 100 to represent in rate %

⇒ r = 0.06 × 100

⇒ r = 6%

∴ 6% or 0.06 is the simple interest rate the bank pays him.

5 0
3 years ago
Use the given facts about the functions to find the indicated limit.
Yuki888 [10]

Answer:

you gave no facts :/

Step-by-step explanation:

3 0
3 years ago
3/2x-4=20<br> Solve for x
Thepotemich [5.8K]
3/2x-4=20

We simplify the equation to the form, which is simple to understand
3/2x-4=20

We move all terms containing x to the left and all other terms to the right.
+2x=+20+4

We simplify left and right side of the equation.
+2x=+24

We divide both sides of the equation by 2 to get x.
x=12
4 0
3 years ago
Read 2 more answers
Does anyone know the answer to this​
algol [13]

Answer:

x² + (y+3)² = 4²

Step-by-step explanation:

A close look at the diagram reveals that the center of this circle is (0, -3) and that the radius is 4 units.

Starting from the general equation of a circle, (x - h)² + (y - k)² = r²

and substituting the givens (h = 0, k = -3, r = 4), we get:

x² + (y+3)² = 4².  This is Answer B.

4 0
3 years ago
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