What fraction of the sweaters cost $50 or less?

Answer:

√3

Step-by-step explanation:

To recall trigonometric ratios, there is a special acronym known as sohcahtoa which stands for

Finding the angle [tex]\theta[/tex]

We are given that,

[tex] \displaystyle \sin( \theta) = \frac{ \sqrt{3} }{2} [/tex]

To find the angle [tex]\theta[/tex] , take inverse of sin of both sides,

[tex] \displaystyle { \sin}^{ - 1}( \sin( \theta) )= { \sin}^{ - 1} \bigg(\frac{ \sqrt{3} }{2} \bigg )[/tex]

with the help of unit circle,we acquire:

[tex] \displaystyle \boxed{\theta= {60}^{ \circ} }[/tex]

Finding [tex]\tan\theta[/tex]

simply plug in the value of theta:

[tex] \tan( {60}^{ \circ} ) [/tex]

using unit circle,we get:

[tex] \implies \tan( {60}^{ \circ} ) = \boxed{\sqrt{3} }[/tex]

and we're done!

Let's solve

[tex]\\ \rm\Rrightarrow sin\theta=\dfrac{\sqrt{3}}{2}[/tex]

[tex]\\ \rm\Rrightarrow \theta=sin^{-1}\left(\dfrac{\sqrt{3}}{2}\right)[/tex]

[tex]\\ \rm\Rrightarrow \theta=\dfrac{\pi}{3}[/tex]

Now

[tex]\\ \rm\Rrightarrow tan\theta=tan\dfrac{\pi}{3}[/tex]

[tex]\\ \rm\Rrightarrow tan\theta=\sqrt{3}[/tex]

Answer:

G

Step-by-step explanation:

really look at the position of point A on the number line.

it is a little bit to the right of -2, but clearly to the left of -1 and especially 0.

so, A must be negative.

that eliminates already H and J.

remember, that e.g. -2 < -1.

so, seemingly "adding" something to the description of a value of a negative number makes that negative number even smaller.

-1 7/8 is for example NOT the same as -1 + 7/8.

it is the same as

-1 - 7/8 = -1 7/8

so, -1 7/8 is indeed smaller than -1.

but it is still larger than -2 (e.g -1 8/8 = -2).

therefore, only G makes sense.

The quotient of the provided division in which binomial is divided by a quadratic equation is x+2.

Quotient is the resultant number which is obtained by dividing a number with another. Let a number a is divided by number b. Then the quotient of these two number will be,

[tex]q=\dfrac{a}{b}[/tex]

Here, (a, b) are the real numbers.

The given division expression is,

[tex]\dfrac{x^2+3x+2}{x+1}[/tex]

Let the quotient of this division problem is f(x). Thus,

[tex]f(x)=\dfrac{x^2+3x+2}{x+1}[/tex]

Factor the numerator expression as,

[tex]f(x)=\dfrac{x^2+2x+x+2}{x+1}\\f(x)=\dfrac{x(x+2)+1(x+2)}{x+1}\\f(x)=\dfrac{(x+2)(x+1)}{x+1}\\f(x)={x+2}[/tex]

Thus, the quotient of the provided division in which binomial is divided by a quadratic equation is x+2.

Learn more about the quotient here;

https://brainly.com/question/673545

Answer:

its A. on edge 2023

Step-by-step explanation:

Answer: x = 1/4

Step-by-step explanation:

Lo primero que harías es restar 7 de ambos lados de la ecuación debido a tu propiedad de igualdad, que te permite hacer esto.

24x+7=13

      -7   -7

24x=6

Ahora lo que harás es dividir ambos lados entre 24 para que puedas aislar x.

24x=6

/24    /24

x=6/24

Finalmente, puedes simplificar la fracción dividiendo el numerador y el denominador por 6.

x=6/6  /  24/6

x=1/4

Answer:

C. The principal randomly selects homeroom classes and surveys each student in the chosen classes.

Step-by-step explanation:

Middle school is 6-8th. Surveying only the eighth-grade students won't give a representative sample of the whole school only the eighth-graders. Option A is incorrect.

Surveying only the students in detention represents a very small amount of students compared to the school, therefore it is not a representative sample. Option B is incorrect.

Yet again, the students in the math club is a small amount of students compared to the school. It does not represent the entire, or majority of the population. Option D is incorrect.

Picking students from homeroom classes and surveying each will give a wider variation of opinions from each grade and therefore a representative sample. Option C is the correct answer.

Answer:

C

Step-by-step explanation:

I just did the quiz and it was correct

The circle can be illustrated by its equation, and the equation that represents the circle is (x + 4)² + (y - 9)² = 5²

The center of the circle is given as:

Center, (a,b) = (-4,9)

The diameter is given as:

d = 10

Calculate the radius (r)

r = 10/2 = 5

The circle equation is then calculated using:

(x - a)² + (y - b)² = r²

So, we have:

(x + 4)² + (y - 9)² = 5²

Hence, the equation that represents the circle is (x + 4)² + (y - 9)² = 5²

Read more about circle equations at:

https://brainly.com/question/1559324

Answer:

B on edge

Step-by-step explanation:

(x + 4)^2 + (y – 9)^2 = 25

Answer:

V ≈ 258 ft³

Step-by-step explanation:

I given the diameter d= 7.9 ft so the radius is r = d/2 = 7.9/2  ft

Volume of a sphere is

V = (4/3) π·r³ = (4/3) · π · (7.9/2)³ = 258.1546167 ft³

Answer:

63.59 in²

Step-by-step explanation:

The formula to find the area of a square: a², where a is the side.

The formula to find the area of a circle: πr², where r is the radius (diameter ÷ 2), and the pi is alterable (3.14 or 3.142 or 22/7).

1) Find the diameter of the circle. The side of a square is the diameter.

a²

a = √81

a = 9

2) Plug the values into the formula of the area of a circle. 9 ÷ 2 = 4.5 (radius).

= 3.14 x 4.5²

= 3.14 x 20.25

= 63.585

3) Round off the result to the nearest hundredth.

= 63.59

The largest circle possible from the square piece of yellow felt material to create a sun for her art project is of area 63.585 square inches.

Area is the quantity that expresses the extent of a region on the plane or on a curved surface

According to the question

Square piece of yellow felt that has an area = 81 square inches

Now ,

Area of square of yellow felt =  81 square inches

⇒     [tex]Side^{2} = 81[/tex]

⇒      Side = ± 9      (where -ve 9 cannot be side )

⇒      Side =  9      

The largest circle possible from the material is

where, side of square = diameter of circle  ( figure attached )

        ⇒  9   = diameter of circle

       ⇒   9 = 2r

       ⇒   [tex]\frac{9}{2}[/tex] = r or  r = 4.5

Area of circle = [tex]\pi r^{2}[/tex]

                      =  3.14 * 4.5 * 4.5

                     = 63.585 square inches.

Hence, Area of the largest circle cut from the  square piece is of 63.585 square inches.

To know more about Area here :

https://brainly.com/question/27683633

# SPJ2

Answer:

51°

Step-by-step explanation:

to find x, note that the sum of angles in a triangle is equal to 180°

x+ 63° +66° = 180° ( sum of angles in a triangle.)

x+129° = 180°

x= 180-129 = 51°

x= 51°

Answer:

it is 1.7 hope it helps

Answer:

1

Step-by-step explanation:

in this constellation the upper left vertex corresponds to the bottom right vertex. and the upper right vertex to the bottom left vertex.

so, the side x corresponds to the side x+2.

and, of course, the top side corresponds to the bottom side.

going from the small to the large triangle the scaling factor is 6/2 = 3/1 = 3.

therefore

3 × x = x + 2

3x = x + 2

2x = 2

x = 1

Answer:

y = 9x

Step-by-step explanation:

Answer:

4.5x          OR           9/2x

Step-by-step explanation:

We know this is a lineasr equation isnce it is a straight line and goes by a slope factor.

We know that for every change in 9 on the y axis, there is a change of two on the x- axis. This slope is now 9/2

The equation can be 9/2x OR 4.5x depending on whether your teacher will accept decimal answers or fractional answers.

Answer:

it is d because a budget is when u set an amount to spend. there for you be safe in a sertint amount.

Answer:

x=1 y=4

(1,4)

Step-by-step explanation:

Answer:

444.83

Step-by-step explanation:

volume of a cone is given by the formula pi × r^2 × h × 1/3

by implementing the formula we get the answer which is 444.83

make sure to ask if you need any further guidance :)

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$100\\ r=rate\to 11\%\to \frac{11}{100}\dotfill &0.11\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &2 \end{cases} \\\\\\ A=100\left(1+\frac{0.11}{1}\right)^{1\cdot 2}\implies A=100(1.11)^2\implies A=123.21[/tex]

Answer:

The Ruler won't fit.

Step-by-step explanation:

Remark

The way this is traditional done is to find the hypotenuse of 5 and 10 inches and use this result with the height. If that does not work, then other combinations can be used.

Hypotenuse (10 and 5 )

Formula

c^2 = a^2 + b^2

Givens

a = 10

b = 5

Solution

c^2 = 10^2 + 5^2        Expand

c^2 = 100 + 25           Add

c^2 = 125                    

Now use the Pythagorean Theorem a second time.

z^2 = x^2 + y^2

x^2 = 125

y^2 = 3^2

z^2 = 125 + 9

z^2 = 134

This is not large enough. A ruler is 12 inches long which would mean that z^2 should come to 144. I don't think any other combination is going to do much better.

In fact looking at it more closely all combinations will give z^2 = 134.

Answer: 1) 4%/40% 2)4%/40% 3)5%/50% 4)4%/40%

Step-by-step explanation:

i think those are the answers

The bottom figure, answer A

D has infinite lines of symmetry

B can be split from top left to bottom right, as well as from the top right corner to the bottom left corner

C can be split from left to right and top to bottom

A can only be split from left to right, as the sides aren’t equal to each other

Answer:

10 Square feet or square meter

Step-by-step explanation:

Area of a triangle = bh / 2

b represents the base which is 4

h represents the height which is 5

bh / 2 = 4 × 5 / 2

Area = 20 / 2

Area = 10

:. The Area of the triangle is 10 square feet or square meter

Answer: 4.71

Step-by-step explanation:

Answer:

ABD

Step-by-step explanation:

Answer:

60.9 mi

Step-by-step explanation:

Circumference of circle:

diameter = 19.4 mi

Circumference of circle = πd

                                        = 3.14 * 19.4

                                        = 60.9 mi

Answer:

12 ft ^3

Step-by-step explanation:

I assume you are looking ofr the volume of this pyramid

V = 1/3 base area * height

base area = area of 3-4-5 triangle =  1/2 * 3 * 4 = 6   ft^2

so Volume is :

1/3  * 6 * 6 = 12 ft^3

Answer: 1. Not dependent 2.2.Not dependent 3. Not dependent 4. Not dependent 5. Choosing marble without replacement is dependent

Step-by-step explanation: if you concert the decimals to fractions in each question, they are not related

Answer:

A third degree or cubic polynomial with three terms. The constant term is -1/7, the leading term is -10x³ and the leading coefficient is -10

Answer:

[tex]m=\frac{y-b}{x-a}[/tex]

Step-by-step explanation:

Considering no values were supplied, the most we can do here is rearrange the equation to get m on its own.

In the equation y - b = m(x - a), since (x - a) is multiplicative of m, we can divide this value to remove it from m's side. This leaves us with:

[tex]m=\frac{y-b}{x-a}[/tex]

Answer:

Step-by-step explanation:

To solve y-b=m(x-a) for m, divide both sides of this equation by (x - a):

           y - b

m = ---------------

          (x - a)

Answer:

5 pounds

Step-by-step explanation: