Elena has chosen carpet that cost 4.55 Per square foot for a regular floor that measures 12 1/2‘ x 14 1/2 how many square feet of carpet is needed to cover the floor

9514 1404 393

Answer:

  x = 36

  78°, 36°, 66°  (CW from lower left)

Step-by-step explanation:

The sum of angles in a triangle is 180°, so we can write the equation ...

  (2x +6)° +x° +(2x -6)° = 180°

  5x = 180 . . . . simplify

  x = 36 . . . . . . divide by 5

Then the angle measures are ...

  (2x +6)° = (2·36 +6)° = 78°

  x° = 36°

  (2x -6)° = (2·36 -6)° = 66°

Answer:

Top angle - 36

Left angle - 78

Right angle - 66

Step-by-step explanation:

First to find the angles you need to find x. Do this by adding all the angle measurements and setting them equal to 180 because all triangles equal 180.

Then, combine like terms

Finally, divide both sides by 5

Now that you know x you can plug it in to find the rest of the angles. The top angle is simply 36. The left angle is 2(36) + 6, which equals 78. The right angle is 2(36) - 6, which equals 66.

Answer:

Step-by-step explanation:

Answer:

B because 20 cm multiplayer by 9cm equals 180cm

Answer:

SAS because they gave you a side and angle and another side.

Step-by-step explanation:

Yes the triangles are similar

They are similar by SAS postulate.

Hope it helps :)❤

Answer:

3rd one is the right one .......

Answer:

9r^4−r^3s−8r^2s^2+5rs^3+37

Step-by-step explanation:

Distribute the Negative Sign:

=29r4−11r3s+5r2s2+19rs3+4+−1(20r4−10r3s+13r2s2+14rs3−33)

=29r4+−11r3s+5r2s2+19rs3+4+−1(20r4)+−1(−10r3s)+−1(13r2s2)+−1(14rs3)+(−1)(−33)

=29r4+−11r3s+5r2s2+19rs3+4+−20r4+10r3s+−13r2s2+−14rs3+33

Combine Like Terms:

=29r4+−11r3s+5r2s2+19rs3+4+−20r4+10r3s+−13r2s2+−14rs3+33

=(29r4+−20r4)+(−11r3s+10r3s)+(5r2s2+−13r2s2)+(19rs3+−14rs3)+(4+33)

=9r4+−r3s+−8r2s2+5rs3+37

Hope this helps! :)

Answer:

R ≥-4

Step-by-step explanation:

Substitute

2r-1>-3r-21

+3r

5r-1>-21

5r>-20

Divide 5

R>-4

Answer:

28/53

Step-by-step explanation:

Hey There!

So they want us to find the sine of angle S

well remember is sohcahtoa

S - sine

O - opposite

H - hypotenuse

meaning that

[tex]Sin=\frac{opposite}{hypotenuse}[/tex]

The opposite side of angle S is 28 and the hypotenuse is 53

so [tex]sinS=\frac{28}{53}[/tex]

Answer:

P(green) = 1/5

Step-by-step explanation:

P(yellow or blue on board 1) = 2/4 or 1/2

P(yellow or blue on board 2) = 2/5

2/5*2/4 = 4/20

Simplify.

1/5

Answer: [tex]31.24\ ft[/tex]

Step-by-step explanation:

Given

The height of a man is 5 ft

Distance between man and tree is 42 ft

the angle of elevation is [tex]32^{\circ}[/tex]

Suppose h is the height of the tree

[tex]\Rightarrow \tan 32^{\circ}=\dfrac{h-5}{42}\\\\\Rightarrow h-5=26.24\\\Rightarrow h=31.24\ ft[/tex]

Answer:

1) E(X) = 1.5

2)SD = 1.118

Step-by-step explanation:

1) Formula for expected value of this set of data is;

E(X) = Σx * P(x)

Σx = 0 + 1 + 2 + 3 = 6

And P(x) = ¼

Thus;

E(X) = 6 × ¼ = 1.5

2) Formula for the standard deviation is;

SD = √Σ((x - μ)²•P(x))

Where μ is the expected value = 1.5

At x = 0,we have;

(0 - 1.5)² × 1/4 = 0.5625

At x = 1, we have;

(1 - 1.5)² × 1/4 = 0.0625

At x = 2, we have;

(2 - 1.5)² × 1/4 = 0.0625

At x = 3, we have;

(3 - 1.5)² × 1/4 = 0.5625

Thus,Σ((x - μ)²•P(x)) = 0.5625 + 0.0625 + 0.0625 + 0.5625 = 1.25

Thus;

SD = √1.25

SD = 1.118

Answer:

3925 units²

Step-by-step explanation:

area of larger circle = πr² = (3.14)(250²) = 196,250

area of smaller circle = πr² = (3.14)(200²) = 125,600

area of full donut = 196,250 - 125,600 = 70,650

20/360 = 1/18 of full donut

1/18(70,650) = 3925 units²

Answer:

The slope of the line is negative. The y-intercept is 5. The slope of the line is -2/3.

Step-by-step explanation:

With 2 given points on the line that are whole numbers, you can find the slope of the line with the equation [tex]m=\frac{y2-x2}{y1-x1}[/tex]. The answer will tell you whether it's negative or positive. For example, [tex]m=\frac{-2-1}{4-0} =\frac{-3}{4}[/tex]. The slope is negative for the example. The y-intercept would be the point with 0 as the x-value: (0, -5).

aa aa a a aaaaaa a a aa a saa a

29 because 9*3 is 27 +2 equals 29

Answer:

29

Step-by-step explanation:

9×3+2=29

Tyra's father is 29

Answer:

6

cuz 6*3=18 and 6*4=24

Answer:

18: 2x9 3x6

24: 12x2 6x4  8x3

So 2

Step-by-step explanation:

Is that what you mean?

Answer:

y = -2x + 7

Step-by-step explanation:

Answer:

Step-by-step explanation:

recall   the two formulas

y = mx - b            slope-intercept

y - y1 = m(x-x1)     point-slope

with these  we can get the equation .  we also need to find the slope  m

m =  y2-y1 / x2-x1

m = 3 - (-1) / 2-4

m = 3 + 1 / -2

m = 4 / -2

m = -2

now with the slope known,  plug in either point into the point-slope formula and work to the slope-intercept formula, I'll use (2,3)  as the point to plug in.

y - 3 = -2(x-2)

y - 3 = -2x +4

y = -2x + 7

there.. that's your answer

y = -2x + 7  

Answer :

6

How :

5 - 2 = 3 + 3 = 6

Answer:

31.4 ft³

Step-by-step explanation:

Using the relation :

Volume, V = πr²h

Height = 10 feets ; diameter = 2 feets, radius, r = 2 /2 = 1 feet

Volume , V = π * 1^2 * 10

V = 1 * 10 * 3.14

V =31.4 feet³

Hence, the volume of material needed to produce 1 metal rod is 31.4 ft³

Answer:

n=1.5

Step-by-step explanation:

distribute: 1.2n-5.4= 3.4-2(3n-1)

Add numbers]: 1.2 n - 5.4= 5.4-6n

Move terms: 1.2n+6n- 5.4=5.4

Add like terms: 7.2n= 5.4+5.4

Divide both sides of equation by 7.2

Answer n= 1.5

Answer:

127.41ft^2

Step-by-step explanation:

Given data

DImension of the square

10ft by 10ft

The perimeter of the square is

=10+10+10+10

=40ft

Hence the amount of the fencing of the circle is 40ft

That is the circumference is 40ft

C=2πr

solve for r

40=2*3.14*r

40=6.28r

r= 40/6.28

r=6.37 ft

Area= πr^2

Area= 3.14*6.37^2

Area= 3.14*40.5769

Area= 127.41ft^2

I dont see a problem here!!!!!!!!!

The answers are 3 and -13

You need to plug 3 and -5 into x

By doing this, you get :

12 - 3^2       and

12 - (-5)^2

those expressions equal

12 - 9

12 - 25

So you get

3

-13

9514 1404 393

Answer:

  31.243 units

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationships between sides and angles in a right triangle. Using the attached figure, it is convenient to find the length of BE as an intermediate step in the solution.

  Sin = Opposite/Hypotenuse

  sin(30°) = BE/100

  BE = 100·sin(30°)

Then ...

  Tan = Opposite/Adjacent

  tan(58°) = BE/x

  x = BE/tan(58°) = 100·sin(30°)/tan(58°)

  x ≈ 31.243 . . . . units

_____

Comment on the figure

The intermediate problem in creating the figure was to locate point D. That was accomplished by locating point C on a line at an angle of 58° CCW from the horizontal, using point B as a center. Then D is the intersection of BC with the x-axis. BE is drawn perpendicular to the x-axis.

Answer:

cuarenta y cuatro = 44

Step-by-step explanation:

treinta + catorce = cuarenta y cuatro

30 + 14 = 44

Qué tengas un lindo día

Have a great day

Answer:

3x+2

Step-by-step explanation:

There are 3xs amd a 2 in it, you cant combine both.

Answer:

Therefore a triangle can be formed with side lengths of 4 m, 8 m, 9 m

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. There are different types of triangles such as scalene, isosceles, equilateral and so on.

The triangle inequality property states that the sum of any two sides of a triangle must be greater than the third side. If a, b and c are the sides of a triangle then:

a + b > c;   a + c > b;   b + c > a

Given a triangle with side length 4 m, 8 m, 9 m:

4m + 8m = 12m > 9m

4m + 9m = 13m > 8m

8m + 9m = 17m > 4m

Therefore a triangle can be formed with side lengths of 4 m, 8 m, 9 m.

Answer:

Diagonals bisect each other