Find the perimeter of the triangle with vertices D(−2, −1), E(3, 2), and F(0, 4). Do not round before calculating the perimeter. After calculating the perimeter, round your answer to the nearest tenth.

Answer:

Sin31°= 11/x

x = 11/Sin31

x= 21.4. ( Nearest tenth).

Answer:

x ≈ 21.4

Step-by-step explanation:

Using the sine ratio in the right triangle

sin31° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{11}{x}[/tex] ( multiply both sides by x )

x × sin31° = 11 ( divide both sides by sin31° )

x = [tex]\frac{11}{sin31}[/tex] ≈ 21.4 ( to the nearest tenth )

Answer:

x=7

Step-by-step explanation:

Since this is an isosceles triangle the two angles are equal.

3x+6 = 5x-8

Subtract 3x from each side

3x+6-3x = 5x-8-3x

6 = 2x-8

Add 8 to each side

6+8 = 2x-8+8

14 = 2x

Divide each side by 2

14/2 = 2x/2

7 = x

Answer:

x = 7

Step-by-step explanation:

Its two angle is equal so, it is isosceles triangle.

3 x + 6 = 5 x - 8 .. ( in isosceles triangle two side are equal).

3 x + 6 = 5 x - 8

Subtract 3 x from both side

3 x - 3 x + 6 = 5 x - 3 x - 8

6 = 2 x - 8

add 8 to each side

6 + 8 = 2 x - 8 + 8

14 = 2 x

Divide each side by 2

14 / 2 = 2 x / 2

7 = x

Answer:

Step-by-step explanation:

here x1=9  y1=8  x2=3  y2=5

midpoint=(x2+x1/2   ,   y2+y1/2)

=(3+9/2  ,    5+8/2)

=(12/2    ,     13/2)

=(6   ,    13/2)            

Answer:

smaller number = 15

Step-by-step explanation:

Let the two numbers be 5x and 3x respectively.

According to the question —

5x — 3x = 10

2x = 10

x = 5

Thus the smaller number is 3 × 5 = 15

Answer:

15?

Step-by-step explanation:

Sorry I'm not entirely sure that is correct but I hope it helped!

Answer:

The time duration of the ocra whale spends under water is 4 seconds

Step-by-step explanation:

The equation that model the path of the ocra whale is presented as follows;

k(x) = x² - 2·x - 8

Where;

x = The time elapsed in seconds under water

k(x) = The height in feet below water

Therefore, the point where the ocra whale enters the water, k(x) = 0

At the point of submerging below the water surface, we have;

k(x) = 0 = x² - 2·x - 8

Factorizing the quadratic equation gives;

0 = x² - 2·x - 8 = (x - 4)·(x + 2)

Therefore, when k(x) = 0, either;

(x - 4) = 0, which gives, x = 4

(x + 2) = 0, which gives, x = -2

Given that 'x' represent the time, the time elapsed while the whale is under water, x = 4 seconds

The person above this should have the answer. It seems like nobody else is answering.

Answer:

x= 44.1

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hypotenuse

sin 27 = 20/x

x sin 27 = 20

x = 20 / sin 27

x= 44.05378529

Rounding to the nearest tenth

x= 44.1

Answer:

Rate of change = - 4  

Step-by-step explanation:

[tex]h(x) = -x^2 + 3x + 1 \\\\h(2) = -(2)^2 + (3 \times 2) + 1 = - 4 + 6 + 1 = 3\\h(5) = - (5)^2 + ( 3 \times 5) + 1 = - 25 + 15 + 1 = -9\\[/tex]

Rate of change :

               [tex]= \frac{h(2) - h(5)}{2-5} = \frac{3-(-9)}{2-5} = \frac{3+9}{-3} = - \frac{12}{3} = -4[/tex]

Answer:

y = (x - 2)² - 9    Vertex form

y = x² - 4x - 5   Standard form

Step-by-step explanation:

vertex = (h, k) = (2, -9)

Vertex form

y = a(x - h)² + k

y = a(x - 2)² - 9

find "a" using point (5, 0)

0 = a(5 - 2)² - 9

0 = a(3)² - 9

0 = 9a - 9

9 = 9a

a = 1

y = (x - 2)² - 9

Standard form

y = (x² - 4x + 4)  - 9

y = x² - 4x - 5

Answer:

the answer is 6 i think

Step-by-step explanation:

Answer:

XW=5

Step-by-step explanation:

WY is congruent with ZW, so WY=12

XY is the radius, so XY=13

Since this is a right triangle, you use Pythagorean therom to solve for XW.

Answer:

12

Step-by-step explanation:

Answer:

12............................

Step-by-step explanation:

Answer:

Step-by-step explanation:

y = f(x + 2) +1

Answer:

The answer that is C

Step-by-step explanation:

The equation would be y=1/2x + 8 because the line touches the y-intercept at +8. The others would be incorrect as the line does not increase by a slop of 8/1 and/or is the y-intercept at -8.

Step-by-step explanation:

Area  = πr²

2) 11² x 3.14 = 379.94

3) 3² x 3.14 = 28.26

4) 5² x 3.14 = 78.5

5) 6.5² x 3.14 = 132.665

6) 7.2² x 3.14= 162.7776

the noun press itself is already a noun. though the word can also be expressed as a verb, (for example: he pressed his face against the glass) it can also be a noun (for example: the incident was not reported to the press).

hope this helps. :)

have a great day! stay safe, happy, and healthy!

Answer:

4x -51

Step-by-step explanation:

m(x) = 4x - 11

n(x) = x - 10

m[n(x)] =  Replace n(x) for x in the function m(x)

             = 4 (x-10) - 11

              = 4x - 40 -11

              = 4x -51

Answer:

-2 5/9

Step-by-step explanation:

w + (-x) - 2/3

Let w = -5/9  and x = 4/3

-5/9  - 4/3 - 2/3

Get a common denominator

-5/9  -4/3*3/3  -2/3*3/3

-5/9  -12/9  -6/9

Add

-23/9

Change to a mixed number

-2 5/9

Answer:

The answer should be

• It has no rotational symmetry.

Step-by-step explanation:

A rotational symmetry is when the object still looks the same after some rotation.

I hope this helped :)

Answer:

32

Step-by-step explanation:

25% of 32 is 8. 100% of 32 is 32, therefore 25 percent of 32 equals 8.

Answer:

By multiplying

If the sides were 5 then you would do 5x5 to get the area  

Hope this makes sense :)

Answer:

Solve for

x

x

by simplifying both sides of the equation, then isolating the variable.

x

≈

0.25181781

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

The input of 13 goes to two different outputs

To be a function each input can only go to one output

This is not a function

Answer:

x = [tex]5\sqrt{2}[/tex]

Step-by-step explanation:

We know that;

The triangle is isosceles, and the hypotenuse is x, the un-labeled side is 5.

Therefore we can say;

5² + 5² = x²

25 + 25 = x²

50 = x²

[tex]\sqrt{50}[/tex] = x

We can simplify this further;

[tex]\sqrt{25} * \sqrt{2}[/tex] = [tex]\sqrt{50}[/tex]

[tex]5\sqrt{2}[/tex] = [tex]\sqrt{50}[/tex]

Hope this helps!

Answer:

35 yards

Step-by-step explanation:

The formula for an area of a trapezium or trapezoid is h(a+b)/2. H is the height, and a and b are the the two opposite sides. With substitution, we get 5(6+8)2 = 70/2 = 35

Answer:

35 yd²

Step-by-step explanation:

First, you need to find the remaining side:

You need to find the bottom side of the triangle: 8-6=2 yd

Let's calculate the area of the triangle:

[tex]\frac{5*2}{2} =5[/tex] yd²

Let's calculate the area of the rectangle:

6*5 = 30 yd²

Total area: 30+5 = 35 yd²