Solve for x. Round to the nearest tenth of a degree, if necessary.

Answer:

x = length of the rectangle = 24 m

Perimeter of the field = 80 m

Area of the field = 384 square meter

Step-by-step explanation:

Width of the rectangle = 16 m

Ratio of the length and width = 3:2

Let

x = length of the rectangle

Ratio of the length and width = x : 16

Equate both ratios

x : 16 = 3 : 2

x/16 = 3/2

Cross product

x * 2 = 16 * 3

2x = 48

x = 48/2

x = 24

x = length of the rectangle = 24 m

Perimeter of the field = 2(length + width)

= 2(24 m + 16 m)

= 2(40 m)

= 80 m

Perimeter of the field = 80 m

Area of the field = length × width

= 24 m × 16 m

= 384 m²

Area of the field = 384 square meter

Answer:

(6,101)

Step-by-step explanation:

x value of vertex is given by b/2a in quadratic.

b=12 and a=1

that gives you a 6, then plug in x=6 in the quadratic equation and that gives you

y=101

Answer:

(x + 10)(2x + 5)

Step-by-step explanation:

Given

2x² + 25x + 50

Consider the factors of the product of the coefficient of the x² term and the constant term (ac) which sum to give the coefficient of the x- term (b)

ac = 2 × 50 = 100 and b = 25

The factors are + 20 and + 5

Use these factors to split the x- term

2x² + 20x + 5x + 50 ( factor the first/second and third/fourth terms )

= 2x(x + 10) + 5(x + 10) ← factor out (x + 10) from each term

= (x + 10)(2x + 5)

Answer:

Slope of the line perpendicular to the given line = [tex]- \frac{1}{4}[/tex]

Step-by-step explanation:

If two are lines are perpendicular to each other,

the product of their slopes = - 1 .

That is ,

      [tex]m_ 1 \times m_2 = -1[/tex]

Slope of the given line :

[tex]m_ 1 = 4[/tex]

Hence slope of the line perpendicular to it :

                                                                [tex]4 \times m_ 2 = - 1 \\\\\frac{4}{4} \times m_2 = - \frac{1}{4} \\\\1 \times m_2 = - \frac{1}{4}\\\\m_ 2 = \frac{-1}{4}[/tex]

The slope of the line perpendicular to the equation y = 4x + 9 is m = -1/4

What is an Equation of a line?

The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept

And y - y₁ = m ( x - x₁ )

y = y-coordinate of second point

y₁ = y-coordinate of point one

m = slope

x = x-coordinate of second point

x₁ = x-coordinate of point one

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

Given data ,

Let the equation of line be represented as A

Now , the value of A is

y = 4x + 9   be equation (1)

The equation is of the form y = mx + b where m is the slope and b is the y-intercept

Substituting the values in the equation , we get

Slope m = 4

Now , the second line is perpendicular to the line A , the product of slopes of the lines will be -1

So , m₁ x m₂ = -1

4 x m₂ = -1

Divide by 4 on both sides of the equation , we get

m₂ = -1/4

Therefore the value of m₂ is -1/4

Hence , the slope of the line is m₂ = -1/4

To learn more about equation of line click :

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Answer:

8/15

Step-by-step explanation:

The ratio of perpendicular to base is tan B .

Here ,

=> tan B = 8 ft/ 15ft

=> tan B = 8/15

Answer:

a = 6

b = 8

c = -7

Step-by-step explanation:

In standard form, we have ;

y = ax^2 + bx + c

Here, we have;

6x^2 + 8x - 7

a is the coefficient of x^2 which is 6 in this case

b is the coefficient of x which is 8

c is the last number which is -7

So we have;

a = 6

b = 8

c = -7

Answer:

C is the answer

Step-by-step explanation:

I'm sure it is

Step-by-step explanation:

s ask me what's your question I can help u

Answer:

0,-4

-2.65,2.62

2.65,2.62

Step-by-step explanation:

[tex]0^2 = 0\\-2.65^2 =7.0225\\ 2.65^2 =7.0225[/tex]

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

-4, 3.0225

[tex]-4^2 = 16\\3.0225^2=9.1355[/tex]

Answer:

(6x-7y)(6x-7y).

Step-by-step explanation:

.

Answer:  

36x² - 84xy + 49y² =

6²x² - 2 (6x) (7y) + 7²y² =

(6x - 7y) ²

Answer.

(6x - 7y) ²

Answer:

Isosceles triangle

Hello,

here is the picture:

Slope (PR):

[tex]m=\dfrac{2-4}{6-2} =-\dfrac{1}{2} \\Slope\ of\ the\ perpendicular: -\dfrac{1}{\dfrac{-1}{2} } =2\\\\perpendicular\ is\ passing\ trought\ M(4,3): y-3=2(x-4)\\y=2x-5\\If\ y=0\ then\ x= \dfrac{5}{2} \\Q=( \dfrac{5}{2},0)\\[/tex]

Answer:

justification: A tangent is defined as "a straight line that touches a curve or curved surface at a point, but if extended does not cross it at that point." As you can see in the diagram, the line does not extend, which means there are two common tangents. (this is actually a diagram for two common tangents im pretty sure. wouldnt make since otherwise)

Step-by-step explanation:

a, 1/4+2/5=13/20

b,-1/8+1=7/8

c, 4/25×-1/8=-1/50

d, 2×1/9-1/2=2/9-1/2=-5/18

e, 1+2/5-1/4=7/5-1/4=23/20

Answer:

the answer is 96°

Step-by-step explanation:

it is an isosceles triangle as it's 2 sides are equal.

for an isosceles triangle, the angles made by the equal sides with the third side are equal.

and the sum of all angles in a triangle = 180°

42 + 42 + x = 180

x = 180 - 84

X = 96°

Answer:

21 + x < 28

Step-by-step explanation:

27 is in fact greater than 28 if you where to input 6 into the x spot, this is the only one that's a true expression.

Answer: Approximately 5.22%

========================================================

Work Shown:

A = true value = 13.4 seconds

B = measured value (erroneous value) = 14.1 seconds

C = percent error

C = [ (B-A)/A ] * 100%

C = [ (14.1-13.4)/(13.4) ] * 100%

C = 0.0522 * 100%

C = 5.22%

This value is approximate.

Answer:

d. p - 15 = 49

Step-by-step explanation:

p = original price

The price was reduced by 15 dollars.

The new price is p - 15.

The new price is 49.

p - 15 = 49

Answer: d. p - 15 = 49

Answer:

D. x = 12

Step-by-step explanation:

if you plug 12 in

the solutoon says 23 = 23 which is correct

Answer:D 12

Step-by-step explanation:

I took the test

Answer:

15 units²

Step-by-step explanation:

The figure is a trapezoid, whose area (A) is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the perpendicular height and b₁, b₂ the parallel bases

Here h = 3 , b₁ = 3, b₂ = 7 , then

A = [tex]\frac{1}{2}[/tex] × 3 × (3 + 7) = 1.5 × 10 = 15 units²

Answer:

1344.

Step-by-step explanation :

.

The speed of the jet will be 166.4. If the jet fly for 12 hours, then the distance cover will be 1996.8.

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

A jet travels 832 km in 5 hours.

Then the speed of the jet will be

Speed = 832 / 5

Speed = 166.4 km per hours

If the jet fly for 12 hours, then the distance cover will be

Distance = Speed x Time

Distance = 166.4 x 12

Distance = 1996.8 km

More about the speed link is given below.

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Answer:

isn't that a square or is it called sum eles-

Step-by-step explanation:

Answer:

.

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Answer:

The angles are : 30° , 60° , 90°

Step-by-step explanation:

Sum of angles in a triangle = 180°

Given: the angles are in the ratio = 1 : 2 : 3

          Sum of the ratio = 6

Therefore , the angles are

                                   [tex]first \ angle = \frac{1}{6} \times 180^\circ = 1 \times 30 = 30^\circ\\\\second \ angle = \frac{2}{6} \times 180^\circ = 2 \times 30 = 60^\circ\\\\third \ angle = \frac{3}{6} \times 180^\circ = 3 \times 30 = 90^\circ[/tex]

[tex]\displaystyle\bf \angle1:\angle2:\angle3=x:2x:3x\\\\x+2x+3x=180\\6x=180\\x=30 \\\angle3=3x=30\cdot3=90 \\\\Answer: \angle3=90^o[/tex]

Answer:  Choice D)  4 over 25 square foot

This is the same as writing the fraction 4/25 of a square foot.

============================================================

Explanation:

The base of the rectangle is 3/5 of a foot. The horizontal portion of either triangle is 1/5 of a foot.

These two facts allow us to find that the base of the parallelogram is 3/5 - 1/5 = 2/5 of a foot.

Multiply this with the height (2/5) to get

area = base*height

area = (2/5)*(2/5)

area = 4/25 .... answer is choice D

Side note: the base and height are not always the same length.

-----------

A slightly longer approach would have you follow these steps

Answer:

2/60 = 1/30 = 3.3%

Step-by-step explanation:

Answer:

The capital is $ 309365.

Step-by-step explanation:

What is the capital that I need, if I want to obtain a profit of $ 9745 in 5 months applying a rate of 6.3?

Let the capital is P.

Simple interest, I =$ 9745

Rate, R = 6.3 %

Time, T = 5 months

Use the formula of the simple interest.  

[tex]9745=\frac{P\times 6.3\times 5}{1200}\\\\P = 309365[/tex]