.The conversion of square feet to square yards can be represented by direct variation. Three square yards are equivalent to 27 square feet. Let y represent the number of square yards and x the number of square feet. Then y varies directly with x.

What is the constant of variation?



What is the equation representing the direct variation?

Answer:

No, because 6² + 8² ≠ 12²

Step-by-step explanation:

In a right angled triangle,

Perpendicular² + Base² = Hypotenuse² (pythagoras theorem)

But in the given triangle; 6² + 8² ≠ 12²

36 + 64 ≠ 144

100 ≠ 144

Perpendicular² + base² ≠ hypotenuse²

Thus the given triangle is not right angled.

Answer:

95.2 is not an integer

and other are integers

Answer:

see explanation

Step-by-step explanation:

The sides of a 45- 45- 90 triangle are in the ratio 1 : 1 : [tex]\sqrt{2}[/tex]

where 1 , 1 are the legs and [tex]\sqrt{2}[/tex] the hypotenuse

If we let the ratio be a : a : [tex]\sqrt{2}[/tex] a , then

AT = AD =  a = 10

DT = [tex]\sqrt{2}[/tex] a = 10[tex]\sqrt{2}[/tex]

Answer:

Step-by-step explanation:

The basic 45-45-90 triangle ratio is :

Side opposite to 45° angle: x

Side opposite to 45° angle: x

Side opposite to 90° angle: x√2

Ratios of sides of 45-45-90 triangle is x : x : x√2

Side opposite to ∠D which is 45° is : 10

AT = x = 10

Side opposite to ∠T which is 45° is : 10

AD = x = 10

Side opposite to ∠A which is 90° is : TD

TD = x√2 = 10*√2 = 10√2

Answer:

4.71

Step-by-step explanation:

Arc length = 2*pi*r-(pi*r)/2

Arc length = 3*2*(3.14)/4 = 4.71

Answer:

the picture is not coming clearly !!!

Answer:

as per ur ques if we take x as number then we get algebraic expression as

2x - 4

brainliest?

Answer:

The correct choice is option C. 4xy√3y

Step-by-step explanation:

√12x^2y^3 + 2xy√3y

√12x^2y^3 = 2√3 xy√y

2xy√3y = 2√3 xy√y

2√3 xy√y +  2√3 xy√y

= 4√3 xy√y

= 4xy√3y

Answer:

5*sqrt(3)+sqrt(6)

Step-by-step explanation:

sqrt(3)*(5+sqrt(2))=5*sqrt(3)+sqrt(6)

Answer:

(5 x sqrt(3)) + sqrt(6)

Brainliest, please! (Almost an Ace!)

Step-by-step explanation:

Distribute the sqrt(3) through and get:

(5 x sqrt(3)) + (sqrt(3) x sqrt(2))

Next, we simplify.

(5 x sqrt(3)) + sqrt(6)

Answer:

C)

Step-by-step explanation:

Standard position for an angle means that the initial side is the positive x-axis.

Answer: C)

Answer:

C

Step-by-step explanation:

Angles in standard position have a vertex at the origin and one ray is on the positive x axis

Answer:

3.69

Step-by-step explanation:

9% of 41 is (9/100)*41=369/100=3.69

Answer:  C. a set of input values

The domain is the set of allowed x values, aka input values.

With fairly many domain problems, one thing to look out for are things like potential division by zero issues. For example, if you had the function f(x) = 2/(x-3), then we want to avoid the denominator x-3 from being zero. Because x = 3 makes x-3 equal to zero, this means we must kick x = 3 out of the domain; however, any other real number will work. This example function therefore has the domain of any real number but 3.

Square roots are another thing that often comes up with domain problems. One example could be g(x) = sqrt(x+5). We'd want the x+5 to never be negative. Solving [tex]x+5 \ge 0[/tex] leads to [tex]x \ge -5[/tex] to tell us what set of input x values we can plug in: namely anything -5 or larger.

Other types of domain problems can occur, but those two types are most common in my experience.

Answer:

sin(theta)=-2/3 and cos(theta)=-sqrt(5)/3

Step-by-step explanation:

First of all, as the theta is in 3rd quadrant, all the other ratios will be negative. Second tan(theta)=P/B. So, 2=P and B=sqrt(5), H=sqrt(P^2+H^2)=sqrt(4+5)=3. sin(theta) will be P/H=-2/3 and cos(theta) will be B/H=-sqrt(5)/3

Answer:

f (-3)

since -3 is between-4 and -2 for every value of x y is 2

Answer:

187 sweets

Step-by-step explanation:

8 units - 6 units = 2 units

2 units = 22 sweets

1 unit = 22 sweets ÷ 2

= 11 sweets

Total amount of sweets = 11 sweets × (6 units + 3 units + 8 units) = 11 sweets × 17 = 187 sweets

Answer:

3(t-y)

Step-by-step explanation:

difference means subtractions

3*(t-y)

Answer:

3 × (t - y)

Step-by-step explanation:

three times = 3×

the difference between t and y = t - y

Now that we have separated the key information in the word expression, you can now piece together the expression.

3 × (t - y)

Hope this helped.

We want to compute the probability P(A or B) because we could either solve it following path A, path B, or doing both paths.

P(A) = 1/3

P(B) = 2/5

P(A and B) = P(A)*P(B)  assuming A,B are independent

P(A and B) = (1/3)*(2/5)

P(A and B) = 2/15

--------

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) = 1/3 + 2/5 - 2/15

P(A or B) = 5/15 + 6/15 - 2/15

P(A or B) = (5 + 6 - 2)/15

P(A or B) = 9/15

We could reduce this to 3/5, but it appears your teacher has chosen not to.

Answer:

Step-by-step explanation:

I can't give you either B or D, but I can calculate the answer.

2^5

=====

(2^5)(3^5)  

The 2^5s cancel out.

1

===

3^5

Another answer could be 3^-5

or

0.004115

Answer:

trinomials term .........................

Answer:

2

Step-by-step explanation:

Answer:

The cost written as a fraction is​ --> 4 13/99

Step-by-step explanation:

Let x = 4.131313

100x = 413.1313

So, 100x - x = 99x

      100(4.131313) - 4.131313 = 408.99, or 409 when rounded

x = 409/99

x = 4 13/99

Answer:

(8,7)

Step-by-step explanation:

To find the x coordinate of the midpoint

Add the x coordinates of the endpoints and divide by 2

(10+6)/2 = 16/2 = 8

To find the y coordinate of the midpoint

Add the y coordinates of the endpoints and divide by 2

(5+9)/2 = 14/2 = 7

The coordinate of the midpoint is (8,7)

Answer:

[tex]916.11\:ft^{3}[/tex]

Step-by-step explanation:

Volume of the hexagonal pyramid =  [tex]1/3\times (area\: of \: hexagonal\:base)\times height[/tex]

Here sides of hexagonal base = 9 ft

So, Area of hexagon = [tex]6\times \frac{\sqrt{3} }{4} a^{2}[/tex]

[tex]6\times \frac{\sqrt{3} }{4} \times 9 \times 9[/tex]

[tex]= 210.5[/tex]

Height is given, 13 ft

So, volume = [tex]1/3\times 210.5\times 13[/tex]

[tex]= 916.11\: ft^{3}[/tex]

OAmalOHopeO

100 = 10² = 2² × 5², so

100⁹⁹⁹ = (2² × 5²)⁹⁹⁹

100⁹⁹⁹ = 2²ˣ⁹⁹⁹ × 5²ˣ⁹⁹⁹

100⁹⁹⁹ = 2¹⁹⁹⁸ × 5¹⁹⁹⁸

Then

100⁹⁹⁹ × 5⁻⁹⁹⁹ × 2⁻⁹⁹⁹ = 2¹⁹⁹⁸ × 5¹⁹⁹⁸ × 5⁻⁹⁹⁹ × 2⁻⁹⁹⁹

100⁹⁹⁹ × 5⁻⁹⁹⁹ × 2⁻⁹⁹⁹ = 2¹⁹⁹⁸⁻⁹⁹⁹ × 5¹⁹⁹⁸⁻⁹⁹⁹

100⁹⁹⁹ × 5⁻⁹⁹⁹ × 2⁻⁹⁹⁹ = 2⁹⁹⁹ × 5⁹⁹⁹

100⁹⁹⁹ × 5⁻⁹⁹⁹ × 2⁻⁹⁹⁹ = (2 × 5)⁹⁹⁹

100⁹⁹⁹ × 5⁻⁹⁹⁹ × 2⁻⁹⁹⁹ = 10⁹⁹⁹

which is a number with 1000 digits,

1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Answer:

SA = 37.5 units^2

Step-by-step explanation:

2 1/2 = 2.5

the Surface Area of the cube

SA = 6a^2

SA = 6(2.5)^2

SA = 6(6.25)

SA = 37.5 units^2

Answer:

D because even though the flat fee is 150 paying 5$ a hour it will cost less

Answer:

[tex](x+1)^2+(y+4)^2=9\\[/tex]

Step-by-step explanation:

The general format for the equation of a circle is the following:

[tex](x-h)^2+(y-k)^2=a^2\\[/tex]

Where [tex](h,k)[/tex] is the center of the circle and ([tex]a[/tex]) is the circle's radius. Please note, that the circle ([tex](x-h)^2+(y-k)^2=a^2\\[/tex]) has a center that is (h) units to the right of the origin, and (k) units above the origin.

The given circle has a center at [tex](-1,-4)[/tex], moreover, its radius is (3) units. Therefore, one must substitute these points into the equation of a circle and simplify to find its equation:

[tex](x-h)^2+(y-k)^2=a^2\\[/tex]

[tex](x-(-1))^2+(y-(-4))^2=(3)^2\\[/tex]

[tex](x+1)^2+(y+4)^2=9\\[/tex]

Answer:

Step-by-step explanation: Let's first determine the center of the circle

which is represented by the red dot and it has the coordinates (-1, -4).

The radius of the circle is a segment that joins the center of the

circle to a point on the circle and all radii of a circle are congruent.

The radius of the circle shown here is 3.

Now, the equation of a circle is (x - h)² + (y - k)² = r² where

(h, k) is the center of the circle and r is the radius.

Now we plug all our given information into the formula.

So we have [x - (-1)]² + [y - (-4)]² = (3)².

Notice that I changed the parentheses in the formula to brackets

so that we wouldn't be dealing with too many sets of parentheses.

Changing the brackets back to parentheses,

our equation is (x + 1)² + (y + 4)² = 9.

Answer:

m=-2 c=3

Step-by-step explanation:

y=mx+c

rearrange

-mx-c+y=0

original

y=2x-3