The pentagons ABCDE and PQRST are similar
Find the length x of RS.
B
E
R
Х
?
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Answer:

Simplify the numerator with the sine expression by taking A = B = x and simplify the denominator using A = x and B = 2x. The resulting denominator will have sin (2x) and cos (2x) which you can write in terms of sin (x) and cos (x) using the expressions above.

Step-by-step explanation:

Answer:

1.Many pairs of triangles designed into a building, for example as roof ends, would be congruent, so the roof beam and the top edges of the walls are horizontal.

2.The congruent triangle is used in most of the building that are design to stay in bad conditions and Strong winds for Example the Sydney Bridge.

3.in real life two triangles are rarely exactly congruent. However they are crucial in the construction of large man-made structures. This is because a triangle is the most stable shape and the congruence is needed to create even surfaces.

Answer:

the answer is Y

Step-by-step explanation:

The greatest common factor (GCF) of two polynomial expressions is y.

The greatest common factor (GCF) of two polynomial expressions is the polynomial with the largest set of factors that is a factor of both polynomials.

To find the GCF of y2(y + 1) and y(y + 2), we can factor each polynomial:

y2(y + 1) = y(y)(y + 1)

y(y + 2) = y(y + 2)

The only factor that both polynomials have in common is y, so the GCF is y.

Here is the solution in more detail:

Factor each polynomial.

y2(y + 1) = y(y)(y + 1)

y(y + 2) = y(y + 2)

Find the factors that are common to both polynomials.

The only factor that both polynomials have in common is y.

The GCF is the polynomial with the largest set of factors that is a factor of both polynomials.

The GCF is y.

Therefore, the GCF of y2(y + 1) and y(y + 2) is y.

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Hello!

[tex]\large\boxed{a = -1}[/tex]

y = 2x³ + ax² - x + 3

Find the derivative using the power rule:

y' = 6x² + 2ax - 1

Substitute in the given slope and x value to solve for a:

3 = 6(1)² + 2(1)a - 1

3 = 6 + 2a - 1

4 = 6 + 2a

-2 = 2a

a = -1

Answer:

a = -1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Calculus

The definition of a derivative is the slope of the tangent line.

The derivative of a constant is equal to 0.

Basic Power Rule:

Step-by-step explanation:

Step 1: Define

y = 2x³ + ax² - x + 3

y'(1) = 3

Step 2: Differentiate

Step 3: Solve for a

Answer:

$1,657.82

Step-by-step explanation:

435.20 + 510.20 + 345.12 + 142 + 225.30 = total checking balance

1,657.82

Answer:

54

Step-by-step explanation:

Answer:

40.

Step-by-step explanation:

16 × 2 1/2= X

= 40.

Answer:

11.5

Step-by-step explanation:

Answer:

I‘m pretty sure its a special right triangle, basically a 30, 60, 90 triangle. I checked with the formula and it’s correct. So the angle W is wither a 60 Degree or 30 degree and I‘m on the side of 30 degrees.

So I’m pretty sure its 30 degree.

The formuda is the hypotenuse is 2x and the (a) (3 in this case) is x. The 5 would come out as the formula 3[tex]\sqrt{3}[/tex]. Now we know the sides, 3, 5 and 6 so we just plug it in and solve for the square root and it equals to ABOUT 5.

I’m not sure if I’m correct but I’m not confident.

Answer:

3:2

Step-by-step explanation:

can also be written as 3/2 as a fraction!

Answer:

Blue paint to red paint - 3:2

Red paint to blue paint 2:3

Step-by-step explanation:

For every 3 cups of blue paint there is 2 cups of red paint

For every 2 cups of red paint there is 3 cups of blue paint

Fraction Mode: 3/2 or 2/3

Answer: 0.3, 38%, 4%, 0.44, 25, 720?

Step-by-step explanation: I don't really know what the 25 and 720 are in this case it's a little complicated if you specify it more I can give you a more accurate answer sorry if this didn't help but if it did I'm glad to be helpful :)

Answer:

Step-by-step explanation:

Pick the two easiest points to deal with.

(0,4)  and (2,0)

Find m

m = (y2 - y1)/(x2 - x1)

y2 = 4

y1 = 0

x2 =0

x1 = -2

m = (4 - 0)/(0 - - 2)

m = 4/2 = 2

Now use one of the points to find b

y = mx + b        Use (0,4)

4 = 2*0 + b

b = 4

The equation you want is y = 2x + 4

Answer:

A is the correct answer

Answer:

-√64: rational

15 pi: irrational

46.86 repeated: rational

15/19: rational

-2√6: irrational

Step-by-step explanation:

From the picture that I used, I was able to find out which ones were rational and irrational.

-√64: rational because it equals to -8

15 pi: has "pi" in it

46.86 repeated: as long as it's repeated, it's rational

15/19: fractions are usually rational

-2√6: √6 is cannot be rationalized

Answer: I think the answer is A.

Sorry if I'm wrong.

System of equations:

x - y = 3

x + 2y = 21

solving using substitution:

1. isolate one of the variables in one of the equations

x - y = 3

x = 3 + y

2. substitute 3 + y into the other equation

3 + y + 2y = 21

3. simplify

3 + 3y = 21

3y = 18

y = 6

4. substitute 6 back into one of the equations and solve for x

x - 6 = 3

x = 9

Answer:

 svkjhpwheqigjufhwqieweho87qrf

Step-by-step explanation:

Answer:

Option A

Step-by-step explanation:

The given piecewise function shows that there is a jump discontinuity at x=1 in the first part of the piecewise function. Hence, this means that for the first part of the piecewise function, x=1 isn't included, but in the second part of the piecewise function, it is.

We can therefore eliminate C and D.

Looking at the first part of the piecewise function, we can see as x grows smaller, y grows larger.  Therefore, A is the more preferred answer because the domain x<1 is valid.

As per given data area of the top of the rectangular table 21 square feet ,

width [tex]3\frac{1}{2}[/tex] feet the length of the table is equal to 6 feet.

As given,

Area of the top of the rectangular table = 21square feet

Width of the table =  [tex]3\frac{1}{2}[/tex] feet

Let 'l' be the length of the rectangular table

Area = length × width

⇒ 21 =(7/2) × l

⇒l =(21 ×2)/7

⇒l=6feet

Therefore, as per given data area of the top of the rectangular table 21 square feet , width [tex]3\frac{1}{2}[/tex] feet the length of the table is equal to 6 feet.

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Answer:

The store sold 4,400 video games all year.

Step-by-step explanation:

Percentages

The x percent of a number N is calculated as:

[tex]\displaystyle P=\frac{x}{100}*N[/tex]

If the value of P is known, then:

[tex]\displaystyle N=\frac{100}{x}*P[/tex]

We know the store sold P=550 video games during the month of December and it corresponds to the x=12% of its yearly games sales (N).

Let's calculate N:

[tex]\displaystyle N=\frac{100}{12.5}*550[/tex]

N = 4,400

The store sold 4,400 video games all year.

The number of large frame bought by women are 5 and small frames are 9.

Let 'x' be the number of large frames.

Let 'y' be the number of small frames.

The concepts used is;

money + money = money  and

number of small frames + number of large frames = total number of frames.

Cost of each small frame is $7.

The cost of each large frame is $18.

Total cost is $153.

The system of equations are formed as;

$18y + $7x = $153   ........equation 1.

x + y = 14  

y = 14 - x   .....Put this in equation 1.

$18y + $7x = $153

18(14 - x) + 7x = $153

252 - 18x + 7x = 153

11x = 99

x = 9

y = 14 - 9 = 5

Thus, the number of large frame bought by women are 5 and small frames are 9.

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Answer:

65 ft

Step-by-step explanation:

in 7 second the rocket went 65 ft

The length of the median FQ in image of the two similar triangles is: 36.

The corresponding segments and median of similar triangles are proportional, therefore, we will have the following:

PC/FQ = PB/QE

Substitute

27/FQ = 18/24

FQ = (24 × 27)/18

FQ = 36.

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Answer:

the oeange will be there for u

Step-by-step explanation:

1 then 4 then 3 then 6 then 2

Answer:

? = -2

Step-by-step explanation:

a + b = -2

so, now we need to find all (a + b) combinations in the large expression.

for example, we know

a = -2 - b

or b = -2 - a

and then

-b = 2 + a

but also

3b = -6 - 3a

so that

a - b = a + 2 + a = 2a + 2

therefore

(a + b)(a - b) = a² - b² = -2(2a + 2) = -4a - 4

(-4a - 4 - 12b - 36)/(-4a - 4 - 6a - 6b) =

(-4(a + 3b) - 40)/(-4a - 4 - 6(a + b)) =

(-4(a - 6 - 3a) - 40)/(-4a - 4 - 6×-2) =

(-4(-2a - 6) - 40)/(-4a + 8) =

(8a + 24 - 40)/(-4a + 8) = (8a - 16)/(-4a + 8) =

-2×(-4a + 8)/(-4a + 8) = -2

The angle by which turns counterclockwise about point P to coincide with is 180 degree angle

What is 180 degree angle?

The angle which forms a straight line is called the 180-degree angle. A 180-degree angle is a straight angle and it is exactly half of a revolution. The two arms of the angle which are making 180-degree are just opposite to each other from the common vertex.

The points D, P and C forms a straight line.

So, if it turns clockwise about Point P, it would make an angle of 180 degree.

as the point D and C are of equal lengths and opposite to each other, the angle from P turning clockwise makes 180 degree angle.

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Answer:

100

80

Step-by-step explanation:

plato

Answer:

I think it c=4p

Step-by-step explanation:

I’m sorry if it wrong

he ran a mile in 8.4 minutes. Step-by-step explanation: