Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)

Answer:

2.1 meters

Step-by-step explanation:

[tex]13.8=2w+2(w+2.7)[/tex]

[tex]13.8=2w+2w+5.4[/tex]

[tex]13.8=4w+5.4[/tex]

[tex]8.4=4w[/tex]

[tex]2.1=w[/tex]

Answer:

(

5

x

−

2

)

(

x

+

2

)

is the factorised form of the expression.

Explanation:

5

x

2

+

8

x

−

4

We can Split the Middle Term of this expression to factorise it.

In this technique, if we have to factorise an expression like

a

x

2

+

b

x

+

c

, we need to think of 2 numbers such that:

N

1

⋅

N

2

=

a

⋅

c

=

5

⋅

(

−

4

)

=

−

20

AND

N

1

+

N

2

=

b

=

8

After trying out a few numbers we get

N

1

=

10

and

N

2

=

−

2

10

⋅

(

−

2

)

=

−

20

, and

10

+

(

−

2

)

=

8

5

x

2

+

8

x

−

4

=

5

x

2

+

10

x

−

2

x

−

4

=

5

x

(

x

+

2

)

−

2

(

x

+

2

)

(

x

+

2

)

is a common factor to each of the terms

=

(

5

x

−

2

)

(

x

+

2

)

(

5

x

−

2

)

(

x

+

2

)

is the factorised form of the expression.

Ryan will have to make a monthly payment of $195.41

Answer:

-8x

Step-by-step explanation:

[tex]-3(x+2)^{2}+4\\-3(2x)^{2}+4\\-12+4\\\ y=-8x[/tex]

Answer: You earn more per pound recycling copper than aluminum.

Step-by-step explanation:

Answer:

100 & 80

Step-by-step explanation:

100 appears twice...same with 80

Answer:

it would be 12

Step-by-step explanation:

Answer:

area = 100 inches^2

Step-by-step explanation:

width = x

length = 4x

x + x + 4x + 4x = 50

10x = 50

x = 5

width = 5

length = 4 × 5 = 20

area = length x width

= 20 x 5 = 100

The value of price (p) at a point of equilibrium is 13.4. Then the correct option is C.

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

The equation of the demand (D) and supply (S) is given below.

[tex]\rm D = -\dfrac{4}{3}p +22\\\\S \ = 3p -36[/tex]

Where p is price.

At equilibrium, we have

D = S

Then

[tex]\begin{aligned} \dfrac{4}{3}p +22 &= 3p -36\\\\3p + \dfrac{4}{3} p &= 36 + 22\\\\\dfrac{13}{3}p &= 58\\\\p &= 13.38 \approx 13.4 \end{aligned}[/tex]

More about the linear system link is given below.

https://brainly.com/question/20379472

Answer:

The answer for question one is 162 cm

Answer:

You know the radius is 1/2 of the diameter.

You can simply do 2/2 which is ONE.

The radius of the trampoline with a diameter of 2 yards will be 1 yard.

The radius of the circle is the distance from the centre of the circle to the outer curve of the circle. The diameter of the circle is the length of the two points between the curve of the circle passing through the centre of the circle.

The radius of the circle is half of the diameter of the circle. The trampoline's radius will be calculated as,

Radius = Diameter / 2

Radius = ( 2 ) / 2

Radius = 1 yard

Therefore, the radius of the circle will be 1 yard.

To know more about radius follow

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#SPJ7

Answer: 5.8 is correct

Step-by-step explanation: because 5.8 is bigger

Answer:

Step-by-step explanation:

Volume of the figure = Base area * height

Base area:

Base area = area of trpezium + area of triangle

Trapezium:

a, b area the length of parallel sides and h is the height of trapezium.

a = 8 m ; b =  5 m & h = 3 m

[tex]\boxed{ \text{ Area of trapezium = $\dfrac{(a +b)*h}{2} $}}[/tex]

                               [tex]=\dfrac{(8+5)*3}{2}\\\\\\=\dfrac{13*3}{2}\\\\\\= \dfrac{39}{2}\\\\\\= 19.5 \ m^{2}[/tex]

Triangle:

height = 4 m & base = 8 m

[tex]\boxed{\text{Area of triangle =$\dfrac{1}{2}*base*height$}}[/tex]

                           [tex]=\dfrac{1}{2}*8*4\\\\\\= 4*4\\\\= 16 \ m^{2}[/tex]

Base area = 19.5 + 16

                 = 35.5 m²

Volume of the figure = Base area * height

                                     = 35.5 * 14

                                      = 497 m³

Answer:

the first one (3x-2)(2x-3)

The conclusion regarding the MAD is that the average of the absolute values of the daily difference between the actual and expected rainfall is of 1.3 inches.

Hence, the mean absolute deviation of 1.3 inches means that the average of the absolute values of the daily difference between the actual rainfall and the expected rainfall is of 1.3 inches.

More can be learned about the mean absolute deviation at https://brainly.com/question/3250070

If you're rolling a single cube, then ...

-- There are 6 possible out comes.

-- One of them (5) is a multiple of 5 .

-- The probability of rolling it is (1/6) = 16-2/3 % .

If everything is acting perfectly random, then ion 100 rolls,

you'd expect to succeed 16 or 17 times.

If you're rolling a pair of cubes, then ...

-- There are (6 x 6) = 36 possible outcomes.

-- There are seven ways to get a multiple of 5.

(1+4),  (4+1),  (2+3),  (3+2),  (4+6),  (6+4),  (5+5)

-- The probability of rolling one of those is

                                                            (7/36) = 19-4/9 % .

If everything is acting perfectly random, then in 100 rolls,

you'd expect to succeed 19 or 20 times.

Answer:

When I grow up I want to be

Answer:

Step-by-step explanation:

You are correct in saying false

well, the cheap answer is, linear expressions have one variable and some coefficient in front of it, like 3x or 2y + 3, or (1/4)x - 15 or such, however, a LINEar expression when drawn, yields a LINE, not a curve or such, and that only happens if the variable's exponent is 1, not more than 1, if the variable's exponent is higher, then is a curve of kinds,

so such expressions like -13xy, which has the product of two variables, or 7y³ - 2 or 4x⁵ + 9, are curvy lines.

Answer:

suitable is (4, 8)

Step-by-step explanation:

slope of MN (y2-y1)/(x2-x1) = (2-3)/(-3-2)= -1/-5 = 1/5

line MN and line K is perpendicular

(1/5)*(m2) = -1  

slope of k which is m2 is -5

slope of K (y2-y1)/(x2-x1)= 5

slope of MN (-3-y1)/(3-x1)=5

suitable is (4, 8)

Answer:

2,2 is correct

Step-by-step explanation:

Length of AB is not given so insufficient info provided

Let's see how to solve then

Scale factor is 3/2 means 3/2 is multiplied with AB to form A'B'

If length of AB is n the. then length of A'B' is 3n/2

Answer:

9/32 units

and

3/4 units

Step-by-step explanation:

pls tell me if im wrong

8x²-18x-56

Solve :

apply distributive method

simplify the following

final outcome

Answer:

B)  [tex]8x^2-18x-56[/tex]

Step-by-step explanation:

Given expression:

[tex](4x + 7)(2x - 8)[/tex]

Apply the FOIL method: [tex](a+b)(c+d)=ac+ad+bc+bd[/tex]

[tex]\implies (4x \cdot 2x)+(4x \cdot -8)+(7 \cdot 2x) +(7 \cdot -8)[/tex]

[tex]\implies 8x^2-32x+14x-56[/tex]

Combine like terms:

[tex]\implies 8x^2-18x-56[/tex]

Using the slope concept, it is found that the height of the drone is of about 94 feet.

The slope is given by the vertical change divided by the horizontal change, and it's also the tangent of the angle of depression.

In this problem:

Hence:

[tex]\tan{23^\circ} = \frac{h - 5}{210}[/tex]

[tex]h - 5 = 89[/tex]

[tex]h = 94[/tex]

The height of the drone is of about 94 feet.

More can be learned about the slope concept at https://brainly.com/question/18090623

Answer: the answer  50.22

Step-by-step explanation:

Answer:

y – 11 = 4 (x-6)

Step-by-step explanation:

ttm

Answer:

10: Reflex

11. Acute

12. Obtuse

Step-by-step explanation:

Reflex: Greater than 180 but less than 360

Acute: Less than 90

Obtuse: Greater than 90 and less than 180

Answer:

I believe they want what it looks like, so i have gone ahead and drew those below: its not the best but i tried.

Step-by-step explanation:

Answer:

1) given

2) reflexive property

3) corresponding angles theorem

4) AA similarity

5) Corresponding sides of similar triangles are proportional.

The height of the baseball is 6 feet at the moment the player begins to leap. Then the correct option is D.

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

The first equation in the system models the height in feet, h, of a falling baseball as a function of time, t. the second equation models the height in feet, h, of the glove of a player leaping up to catch the ball as a function of time, t.

h(t) = 35 - 16t²

h(t) = 6 + 18t + 16t²

At t = 0, Then we have

h(0) = 35 - 16(0)²

h(0) = 35

And

h(0) = 6 + 18(0) + 16(0)²

h(0) = 6

The height of the baseball is 6 feet at the moment the player begins to leap.

More about the function link is given below.

https://brainly.com/question/5245372

Answer:

option 2 or B

Step-by-step explanation:

Answer:

A and D would be congruent

Step-by-step explanation:

COngruent angles are angles with the same measurements (same size angles).

Answer:

First Image: ∠G ≅ ∠B, ∠E ≅ ∠D Second Image: ∠1 = 140 ∠2 = 40

Step-by-step explanation:

∠G ≅ ∠B by Alternate exterior angles, ∠E ≅ ∠D by Alternate interior angles  ∠1 = 140 by alternate exterior angles and ∠2 = 40 by supplementary angles 180 - 140 = 40