2+3+4+5+6+4+2+1+34+4+4+4+4+5

(High points) please solve with explanation

AysviL [449]

Answer:

The area and the perimeter of the picture are:

Area = 160 cm^2
Perimeter = 67.31 cm

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
Area of the picture = 160 cm^2

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
Perimeter of the picture = 67.31 cm approximately.

7 0

3 years ago

The United states currently has 50 states.What fraction of the states had become a part of the United States by 1795? (15) Write

Kryger [21]

Answer:

There are currently 50 states in the United States.

The number of states in 1795 in the United States = 15

Now, the fraction of the states that had become a part of the United States by 1795 is given below:

$\frac{15}{50}=\frac{3}{10}$

4 0

3 years ago

There are 50 questions on a test and you answer 36. what % of questions did you answer

o-na [289]

36*2=72
50*2=100
72/100=72%

6 0

3 years ago

Write the equation in slope-intercept form for each line based on the information given.

nexus9112 [7]

Answer:

y = -1x + 6 or y = -x + 6

Step-by-step explanation:

First, let's identify what slope-intercept form is.

y = mx + b

m is the slope. b is the y-intercept.

We know the slope is -1, so m = -1. Plug this into our standard equation.

y = -1x + b

To find b, we want to plug in a value that we know is on this line: (2, 4). Plug in the x and y values into the x and y of the standard equation.

4 = -1(2) + b

To find b, multiply the slope and the input of x(2)

4 = -2 + b

Now, add 2 from both sides to isolate b.

6 = b

Plug this into your standard equation.

y = -1x + 6

This is your equation.

Check this by plugging in the point again.

y = -1x + 6

4 = -1(2) + 6

4 = -2 + 6

4 = 4

Your equation is correct.

Hope this helps!

8 0

3 years ago

An angle measures 12° less than three times it’s supplement. Find the measure of the angle

Butoxors [25]

Answer:

132 degrees.

Step-by-step explanation:

Let the supplement be x and the angle be y.

x + y = 180 degrees.

y = (3x - 12) degrees.

x + 3x - 12 = 180

4x = 192

x = 48 degrees

y = 132 degrees

Hope this helped!

6 0

2 years ago