Find the value of the expression (3x – 12) +1/2 (xy – 10) for x = 4 and y = 6.

Answer:

229.2

Step-by-step explanation:

Remark

There's a lot in this question. The x is not just any x. It is defined and limited by its relationship with the sine function.

The Sin is defined as Opposite over Hypotenuse in a right triangle. The 670 is the Hypotenuse. You know that by the definition of Sine.

So one thing you should always keep in mind: the x because of where it is in the definition, will always be smaller than the Hypotenuse. So you should get a value less than 670.

Formula

Just as you have it

Sin(20) = x / 670

Solution

Multiply both sides by 570

670 * sin(20) = x

sin(20) = 0.3420

x = 670 * 0.3420

x = 229.2

Answer:

y = 3x + 12

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 3 , then

y = 3x + c ← is the partial equation

To find c substitute (1, 15) into the partial equation

15 = 3 + c ⇒ c = 15 - 3 = 12

y = 3x + 12 ← equation of line AB

Answer:

x = 10

Step-by-step explanation:

[tex]7(5x+7)=399\\\\35x+49=399\\\\35x+49-49=399-49\\\\35x=350\\\\\frac{35x=350}{35}\\\\ \boxed{x=10}[/tex]

Hope this helps.

Answer: 100 miles

Step-by-step explanation:

plug in 2 for h and multiply

50 by 2=100

Answer:

this looks hard i just need pints so that i can ask my question

Step-by-step explanation:

x² + 8² = 10²

x² + 64 = 100

x² = 100 - 64

x² = 36

x = 6

Answer:

In ΔHKJ and ΔHIJ

HK=IJ=√17

HI=KJ=√13

HJ=HJ [Common}

ΔHKJ ≅ ΔHIJ [SSS]

Now consider ΔHKI AND ΔKJI

HK=IJ=√17

HI=KJ=√13

KI=KI [Common]

ΔHKI ≅ ΔKJI [SSS]

Now the converse of Parallelogram diagonal theorem also states that if diagonals of a Quadrilateral divides it into two congruent triangles then it is a parallelogram.

Hence the given Quadrilateral is a Parallelogram.

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

asddfghjkl;

.,kjhuilk;jk;lk'

Answer:

Step-by-step explanation:

3(7t - 5) - 2t = 4

3*7t - 3*5 - 2t = 4

21t  - 15   - 2t = 4          {combine like terms}

21t - 2t - 15     = 4

         19t - 15 = 4          {Add  15 to both sides}

            19t    = 4 + 15

            19t     = 19    {Divide both sides by 19}

                   t = 19/19

t = 1

Answer:

Your answer should be 3 1/3

Step-by-step explanation:

:)

Answer:

50.39 degrees

Step-by-step explanation:

Model this situation with a right triangle.  The horizontal leg of this right triangle is 24 ft, whereas the height (top) of the house is 29 ft, which forms the vertical leg.  The ratio of these two measurements is 29/24, which is the tangent of the angle of elevation.  Using a calculator to find the new angle:

tan x = 29/24 = 0.88 radian, or 50.39 degrees  

Answer:

120

Step-by-step explanation:

TQR = 180 - (35+25) = 120

TQP= 180-120=60

TNP=TQP =60

MNT= 180-60=120

Answer:

area of square =l²=12²=144km²

Answer:

Its - 2..................

[tex]\frac{3^-^4*2^3*3^2}{2^4*3^-^3}\\=\frac{3}{2}[/tex]

Answer:

16

Step-by-step explanation:

16/4+2( 16 divided by 4 then add 2)

Answer:

The expression consists of two terms, and each term contains two factors.

Step-by-step explanation:

Given - Complete the statement to describe the expression ab + cd

To find - The expression consists of ....... terms, and each term contains .......factors.

Proof -

The given expression has two terms

Term I - ab

Term II - cd

Now,

Each term contains two factors

In Term I - one factor is a and another factor is b

In Term II - one factor is c and another factor is d

Definition used -

It may be a single number (positive or negative), a single variable ( a letter ), several variables multiplied but never added or subtracted.

A factor can be a number, variable, term, or a longer expression.

Answer:

21

Step-by-step explanation:

Answer:

  15, 27, 39

  a[n] = a[n-1] +12; a[1] = 15

Step-by-step explanation:

The terms of an arithmetic progression have a common difference.

There are numbers in the given list that have differences of 5, 7, 12. The numbers with differences of 5 have already been listed. Other possible sequences are ...

  13, 20, 27 . . . . common difference of 7

  15, 27, 39 . . . . common difference of 12

The rule for the latter sequence is "each term is 12 more than the last" and the first term is 15.

Answer:

THE ARCHITECT VALDIVIA DONATED A LAND, AS IN THE FOLLOWING FIGURE, TO BUILD A PARK.

THE FRACTIONATION COMMITTEE IS GOING TO CLOSE AND FILL IT BEFORE STARTING THE DESIGN OF THE BLUEPRINTS.

Step-by-step explanation:

This is what it says in english

Answer: f(x) = x^2 - 4*x

Step-by-step explanation:

This is a quadratic equation, that can be written in factorized form as:

f(x) = A*(x - a)*(x - b)

Where A is a real number, a and b are the roots of the equation.

In the graph we can see that the graph intersects the x-axis at x = 0, and x = 4, then:

a = 0

b = 4

So the equation is:

f(x) = A*(x -0)*(x - 4) = A*x*(x - 4)

Now we can also see that, the arms of the exponential open up, this means that A is positive, and we also can see that f(2) = -4

Then:

f(2) = A*2*(2 - 4) = -4

     = A*2*(-2) = -4

     = A*-4 = -4

         A = -4/-4 = 1

A = 1

Then the equation is:

f(x) = x*(x - 4) = x^2 - 4*x

Answer:

circumference = 21.98 feet

Step-by-step explanation:

circumference = 2 x R x π = 2(3.5)(3.14) = 21.98 feet

So the equation of the red graph is already given to us: [tex]f(x) = x^2[/tex]. I assume you meant the blue graph?

We can use the vertex form: [tex]y = a(x - h)^2+ k[/tex], where [tex](h,k)[/tex] is the vertex. (We can ignore [tex]a[/tex] because [tex]a[/tex] is 1 for this graph.) Remember that the vertex is the maximum or minimum of a parabola and the point that the line of symmetry passes through. For f(x) the vertex is (0,0).

The vertex for [tex]g(x)[/tex] is at [tex](-4, -2)[/tex] on the coordinate plane. (4 left, 2 down)

Plug into the vertex form:

[tex]y = (x - (-4))^2 -2[/tex]

The double negative becomes a positive, and then you're done:

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

Answer:

14587676

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

the length  is 6 inch.

Area of a rectangle (A) is the product of its length (l) and width (w).

A= l. w

Here, we have,

A rectangle has a width of 3 inches and a length of x inches.

The value of the perimeter of the rectangle is equal to the value of the area of the rectangle.

i.e. 2(3+x)=3x

x=6

hence, the length  is 6 inch.

To learn more on Area click:

brainly.com/question/20693059

#SPJ2

Answer:

[tex]A" =(-1,-1)[/tex]    [tex]B" =(-2,1)[/tex]

[tex]C" =(-4,1)[/tex]    [tex]D" =(-5,-1)[/tex]

Step-by-step explanation:

Given

[tex]A = (1,1)[/tex]        [tex]B =(2,3)[/tex]

[tex]C = (4,3)[/tex]        [tex]D = (5,1)[/tex]

Required

The new coordinates after reflected across y-axis and shifted 2 units down

When a point is reflected across the y-axis, the rule is:

[tex](x,y)=>(-x,y)[/tex]

So:

[tex]A = (1,1)[/tex] [tex]=> A' = (-1,1)[/tex]

[tex]B =(2,3)[/tex] [tex]=> B' = (-2,3)[/tex]

[tex]C = (4,3)[/tex] [tex]=> C' = (-4,3)[/tex]

[tex]D = (5,1)[/tex] [tex]=> D' = (-5,1)[/tex]

When a point is translated 2 units down, the rule is:

[tex](x,y) => (x,y-2)[/tex]

So:

[tex]A = (1,1)[/tex] [tex]=> A' = (-1,1)[/tex] [tex]=> A" =(-1,-1)[/tex]

[tex]B =(2,3)[/tex] [tex]=> B' = (-2,3)[/tex] [tex]=> B" =(-2,1)[/tex]

[tex]C = (4,3)[/tex] [tex]=> C' = (-4,3)[/tex][tex]=> C" =(-4,1)[/tex]

[tex]D = (5,1)[/tex] [tex]=> D' = (-5,1)[/tex] [tex]=> D" =(-5,-1)[/tex]

So, the new coordinates are:

[tex]A" =(-1,-1)[/tex]    [tex]B" =(-2,1)[/tex]

[tex]C" =(-4,1)[/tex]    [tex]D" =(-5,-1)[/tex]

Answer:

1. only 1 unique triangle can be made

2. only 1 unique triangle can be made

3. multiple triangles are possible

4. True

5. True

6. False

7. only 1 unique triangle can be made

8. only 1 unique triangle is possible

9. multiple triangles are possible

10. no triangle is possible

Step-by-step explanation:

Ask in comments if you got any questions.

Answer:All are correct I think.

Step-by-step explanation:

i dont know am sorry will you gogive me

Answer:

For the sugar beet part, there are 12 farms that grow sugar beet only and for the in between or the middle of the venn diagram 40 farms grow both sugar beet and potatoes, and for the one on the bottom left its 100 farms since its the total.

Step-by-step explanation:

1. Subtract 48 with 60 to get the rest of number of farms that grow sugar beet only which is 12.

2. Once we complete the 60 farms that grow only sugar beet or potatoes we add the rest which is 40 from the 100 farms to the middle which are the farms that grow both, potatoes and sugar beet.

3. Finally we add the entire total of all farms and write it down on the bottom left.

Hope this helps!

Given:

Total paint used = 7.9 pints

Blue paint is [tex]\dfrac{2}{5}[/tex] of this amount.

The remaining paint is white.

To find:

The amount of white paint.

Solution:

Blue paint is [tex]\dfrac{2}{5}[/tex] of 7.9 pints.

[tex]\text{Blue paint}=7.9\times \dfrac{2}{5}[/tex]

[tex]\text{Blue paint}=3.16[/tex]

Now,

[tex]\text{White paint}=\text{Total paint}-\text{Blue paint}[/tex]

[tex]\text{White paint}=7.9-3.16[/tex]

[tex]\text{White paint}=4.74[/tex]

Therefore, the total white paint used in Celia's bedroom walls is 4.74 pints.