A fan has 5 congruent blades that are spaced equally as shown below.
What is the measure of the angle of rotation if blade M moves clockwise to the position of blade P?

Given:

The equation is

[tex]y=x^2+2x+1[/tex]

where y is the total square inches of tissue paper and x is the side length of the canvas in inches.

To find:

The side length of the canvas is Martha needs 49 square inches of tissue paper.

Solution:

We have,

[tex]y=x^2+2x+1[/tex]

Putting y=49, we get

[tex]49=x^2+2x+1[/tex]

[tex]0=x^2+2x+1-49[/tex]

[tex]0=x^2+2x-48[/tex]

Splitting the middle term, we get

[tex]0=x^2+8x-6x-48[/tex]

[tex]0=x(x+8)-6(x+8)[/tex]

[tex]0=(x+8)(x-6)[/tex]

Using zero product property, we get

[tex]x+8=0[/tex] and [tex]x-6=0[/tex]

[tex]x=-8[/tex] and [tex]x=6[/tex]

Side length cannot be negative. So, only possible value of x is 6.

Therefore, Martha needs 6 inches side length of the canvas for 49 square inches of tissue paper.

Answer:

x = -0.24 or 3.73

Step-by-step explanation:

[tex]\frac{-b + \sqrt{b^{2} -4ac } }{2a}[/tex] (There's supposed to be a ± between '-b' and the square root)

[tex]x^{2}[/tex] + 4x + 1 ( [tex]ax^{2} + bx + c[/tex] )

a = -1 ( there's no number before [tex]x^{2}[/tex] so its 1 )

b = 4

c = 1

Substitute into the quadratic equation.

[tex]\frac{-4 + \sqrt{4^{2} -4x1x-1 } }{2x-1}[/tex] ( the [tex]x[/tex] is just the multiplication sign )

=  [tex]\frac{-4 + \sqrt{{16} +4 } }{-2}[/tex]

[tex]\frac{-4 + \sqrt{{20} } }{-2}[/tex] = -0.24    [OR]     [tex]\frac{-4 - \sqrt{{20} } }{-2}[/tex] = 3.73

( The answers are to 2 decimal places )

Oh please first if the rectangle was compete, it's area would be 8.

The area of the missing triangle is [tex]\frac{2*2}{2}[/tex]=2.

8-2=6

And there you go! Your answer is 6.

Answer:

I dont no the answer

Step-by-step explanation:

but maybe try the app socratic

Answer:

d or c is the answer of the question

Answer:

A i hope its right

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

First you have to fined the unit rate

1,500/25= 60

Now your gonna do

300x60= 18,00

Answer: c

Step-by-step explanation:

Answer:

₹14,946

Step-by-step explanation:

Tv s old for ₹14100

Deepak loses 6%

Purchase cost = Selling price + Loss cost

Purchase cost = ₹14100 + ₹14100(6%)

Purchase cost = ₹14100 + ₹846

Purchase cost = ₹14,946

Answer:

El ángulo de inclinación de la alberca es aproximadamente 12.407º.

Step-by-step explanation:

Puesto que conocemos la distancia horizontal ([tex]l[/tex]) y la variación en la profundidad ([tex]h[/tex]) de la alberca, en metros, podemos emplear la siguiente razón trigonométrica para calcular el ángulo de inclinación de la alberca ([tex]\alpha[/tex]), en grados sexagesimales:

[tex]\alpha = \tan^{-1}\left(\frac{h}{l} \right)[/tex] (1)

Si sabemos que [tex]l = 10\,m[/tex] y [tex]h = 2.20\,m[/tex], entonces el ángulo de inclinación de la alberca es:

[tex]\alpha \approx 12.407^{\circ}[/tex]

El ángulo de inclinación de la alberca es aproximadamente 12.407º.

Answer:

Step-by-step explanation:

15(24/2)=$180

Answer:

18 miles per hour is an outlier

the outlier decreases the mean speed

Step-by-step explanation:

the low number of 18 is way different from the other numbers being in the 30's and 40's

this 18 will bring the mean of all the numbers own because it is a smaller number.

Answer:

Step-by-step explanation:

Mean:44

Median:31

Mode:47

Answer:

WWhat

Step-by-step explanation:

Answer:

x + 6

Step-by-step explanation:

If you dont know the value of x you cant solve the problem fully

Answer:

6+x

Step-by-step explanation:

2+(x+4)

=2+x+4

=6+x

Answer:

A is correct answer

ok

now make me brainliest

Answer:

He would sell 14 cars.

Step-by-step explanation:

Hope this helps

Answer:

3a+13

Step-by-step explanation:

Add 5 and 8 together to get 13

Answer:

2 - 30ft²

3 - 57yd²

Step-by-step explanation:

Hey There!

The first step in solving this problem is finding the formula for area of a trapezoid

[tex]A = \frac{a+b}{2} h[/tex]

a = base 1

b = base 2

h = height

For the first one the dimensions are

a = 6

b = 9

h = 4

now we just plug in the values

[tex]A=\frac{6+9}{2} 4\\6+9=15\\\frac{15}{2}=7.5\\7.5*4=30[/tex]

so the area of the first trapezoid is 30 ft²

For the second one the given dimensions are

a = 8

b = 11

h = 6

now we just plug in the values

[tex]A=\frac{8+11}{2} 6\\8+11=19\\\frac{19}{2} =9.5\\9.5*6=57[/tex]

so the area of the second trapezoid is 57 yd²

Answer:

The answer is 4) 69.08 m

Step-by-step explanation:

your answer is 1725 hope that helped

Answer:

copying angle C

Step-by-step explanation:

it shows that angle c is being copied

hope it helps

Answer:

Inez ran the mile in 5 minutes and 20 seconds

Great had the fastest time.

Her mile was faster by 20 seconds.

Step-by-step explanation:

Answer:

-0.82 is closest to -1, and -0.28 is closest to -1/4

Step-by-step explanation:

you can start by converting all of them to a fraction or decimal:

-0.28 = -28/100 = -7/25 = -14/50

-0.82 = -82/100 = -41/50

-1/5 = -10/50

-4/5 = -40/50

-1 = -50/50

-1/4 = -12.5/50