what is the area of the figure?

Answer:

x= 3.95

Step-by-step explanation:

Hypotenuse = 9 cm

side = (x+5) cm

other side = (x-3) cm

Pythagoras theorem:          Hypotenuse² = Base² + Base²

9² = (x+5)² + (x-3)²

81 = x² + 25 + 10x + x² + 9 - 6x

2x² + 4x - 47 = 0

Quadratic Formula

x = (-b±√b²-4ac) / 2a

x = (-4±√16+376) / 2(2)

x = (3.95 and -5.95)

   We ignore the negative  -5.95

So x = 3.95

Answer:

0, π

Step-by-step explanation:

cos x sin x = sin x

cos x sin x - sin x = 0

sin x (cos x - 1) = 0

sin x = 0, x = 0, π

cos x - 1 = 0

cos x = 1, x = 0

So answers: 0, π

[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}[/tex]

The given equations represents parallel lines, since they have same slope and the y - intercepts of each of the equations are distinct.

Therefore, the correct choice is ~

D. The system is inconsistent because it has no solution.

Answer: It is a connected series of line segments such as the image shown below.

Hope this helps!

Answer:

  6. ∠GHJ ≅ ∠GIJ = 73°

  10.  ∠Q = 89°, ∠R = 123°, ∠S = 91°

Step-by-step explanation:

The relations applicable to these problems are ...

Opposite angles of an inscribed quadrilateral intercept arcs that total 360°, so those opposite angles must total 360°/2 = 180°.

__

The missing arc measure GJ is ...

  68° +31° +115° +GJ = 360°

  GJ = 360° -214° = 146°

Both of inscribed angles GHJ and GIJ intercept arc GJ, so both will have measure ...

  ∠GHJ ≅ ∠GIJ = 146°/2 = 73°

__

∠Q intercepts arc PSR, which is shown as ...

  arc PSR = arc PS +arc SR

  arc PSR = 137° +41° = 178°

The measure of angle Q is half this:

  ∠Q = (1/2)×arc PSR = 178°/2 = 89°

__

∠R is opposite ∠P in the inscribed quadrilateral, so is supplementary to it:

  ∠R = 180° -57° = 123°

__

∠S is opposite ∠Q in the inscribed quadrilateral, so is supplementary to it:

  ∠S = 180° -89° = 91°

Answer:

Solve the following equation

Step-by-step explanation:

You need to make an equation of this

Let x be the number of computers made

1600 × x = (950 × x) + 211250

When both sides are equal, that is the break even

Answer:

D

Step-by-step explanation:

f(x) = 10x - 5 → x = 10g(x) - 5 → x + 5 = 10g(x) →

g(x) = (x + 5)/10

Answer:

The x side is multiplying four each time to get the y side example 2x4=8 and so on

The equation would be x x 4= y

So hope this helps

The equation that represents the proportional relationship from the table is y=4x.

Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is known as the "constant of proportionality".

The given table is

x     y

2    8

3    12

7    28

Here, we can see when x increases y value also increases.

So, x and y are directly varies

Now, y∝x

y=kx -----(i)

k=y/x

k=8/2

k=4

Substitute k=4 in equation (i), we get

y=4x

Therefore, the equation that represents the proportional relationship from the table is y=4x.

To learn more about the proportional relationship visit:

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Answer:

Sometimes true

Step-by-step explanation:

This is only true for the numbers 0 and 1 because 0 squared is 0 and 1 squared is 1 making the different of their squares 1 and the difference of the numbers also 1.

For every other number combo this is untrue.

Answer:

176cm

400 times

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

You just divide 13.5 by 4.5, and you get 3 yards per second.

Answer:

C = [tex]\frac{963}{92}[/tex]

Step-by-step explanation:

given A varies directly as B and inversely as C then the equation relating them is

A = [tex]\frac{kB}{C}[/tex] ← k is the constant of variation

to find k use the condition A = 6 , B = 10 , C = 15 , then

6 = [tex]\frac{x10k}{15}[/tex] ( multiply both sides by 15 )

90 = 10k ( divide both sides by 10 )

9 = k

A = [tex]\frac{9B}{C}[/tex] ← equation of variation

when A = 92 and B = 107 , then

92 = [tex]\frac{9(107)}{C}[/tex] ( multiply both sides by C )

92C = 963 ( divide both sides by 92 )

C = [tex]\frac{963}{92}[/tex]

Answer:

C = 963/92

Step-by-step explanation:

Given :

Finding the constant of variation, k

Finding C

Answer:

The elapsed time is 2 hours and 5 minutes. Example 4. The movie started at 7:30 pm and ended at 10:20 pm. 

Step-by-step explanation:

Elapsed time is the amount of time that has passed between two events. You can calculate the elapsed time by figuring out the difference between the start and stop time.Here is an elapsed time problem.Soccer practice begins at 3:15 p.m. and ends at 4:45 p.m. Determine how long soccer practice lasts.To solve this problem, set up a subtraction problem that could be used to find the number of hours and minutes that pass between those two times.Subtract the starting time from the stopping time. Remember that both times represent the number of hours and minutes past noon. 

5 : 40 PM

Explanation:

   11 : 05 P.M

(-)  5 : 25

--------------

5 : 40 PM

Answer: 65 degrees

            Using the property of vertical angles, the measurement of angle x is going to be 65 degrees.

            Single angle x is directly opposite of the 65° angle given, we can figure out what angle x will be as they will be congruent.

By using the Vertical Angle Theorem, we can say

   --> x = 65

Check the picture below.

Answer:52.7

Step-by-step explanation:

1) Find the angle inside the triangle by subtracting 52 from 180 getting you 128

2)Then we input everything into the law of cosines

Answer:

Step-by-step explanation:

Given:

To Find:

Solution:

Let's assume Width of rectangle be x feet and length be 2 +x. to Find the are of the rectangle firstly we need to the length and width of the Rectangle:

Using formula:

→ 32 = 2(x + 2 + x)

→ 32 = 2(2x + 2)

→ 32 = 4x + 4

→ 32 - 4 = 4x

→ 28 = 4x

→ 28/4 = x

→ 7 = x

Hence,

Now,

→ Area of rectangle = Length × Width

→ Area fo rectangle = 9 × 7

→ Area of rectangle = 63 feet²

Answer:

⠀

Step-by-step explanation:

⠀

⠀

So, let us assume the width of the rectangle as w ft and therefore the length will (w + 2) ft .

⠀

Now,

⠀

[tex]{\longrightarrow \qquad{ {{\boldsymbol {2 ( Length + Breadth )= Perimeter_{(Rectangle)} }}}}}[/tex]

⠀

[tex]{\longrightarrow \qquad {\rm{2(w + 2 + {w})= 32 \ }}}[/tex]

⠀

[tex]{\longrightarrow \qquad {\rm 2({2w + 2= 32 ) }}}[/tex]

⠀

[tex]{\longrightarrow \qquad {\rm{4w +4= 32 \ }}}[/tex]

⠀

[tex]{\longrightarrow \qquad {\rm{4w = 28\ }}}[/tex]

⠀

[tex]{\longrightarrow \qquad {\rm{w = \dfrac{28}{4} }}}[/tex]

⠀

[tex]{\longrightarrow \qquad{ \mathfrak{{\pmb{w = 7 }}}}}[/tex]

⠀

⠀

Now, We are to find the length of the rectangle:

[tex]{\longrightarrow \qquad{ {{\rm{Length = w + 2 }}}}}[/tex]

⠀

[tex]{\longrightarrow \qquad{ {{ \rm{Length = 7 + 2 }}}}}[/tex]

⠀

[tex]{\longrightarrow \qquad{ { \frak{ \pmb{Length = 9}}}}}[/tex]

⠀

Now, we are to find the area of the rectangle :

⠀

[tex]{\longrightarrow \qquad{ {{\boldsymbol{ Area_{(Rectangle)} = Length \times Breadth }}}}}[/tex]

⠀

[tex]{\longrightarrow \qquad{ {{ \rm{ Area_{(Rectangle)} = 9 \times 7 }}}}}[/tex]

⠀

[tex]{\longrightarrow \qquad{ { \pmb{\boldsymbol{ Area_{(Rectangle)} = 63 }}}}}[/tex]

⠀

Therefore,

⠀

Answer:

[tex]\displaystyle y + \frac{1}{2} = 3\, (x - 2)[/tex].

Step-by-step explanation:

Consider a line in a cartesian plane that goes through the point [tex](x_{0},\, y_{0})[/tex]. If the slope of this line is [tex]m[/tex] (a real constant,) the equation of this line in point-slope form would be:

[tex]y - y_{0} = m\, (x - x_{0})[/tex].

The line in this question goes through the point [tex](2,\, (-1/2))[/tex]. Thus, [tex]x_{0} = 2[/tex] whereas [tex]y = (-1/2)[/tex]. The slope of this line is [tex]m = 3[/tex]. Thus, the equation of this line in point-slope form would be:

[tex]y - (-1/2) = 3\, (x - 2)[/tex].

Simplify to obtain:

[tex]y + (1/2) = 3\, (x - 2)[/tex].

Answer:

C

Step-by-step explanation:

C because 25% + 10% = 35% and 10% + 25% is also 35%

The equation of the ravine function is an illustration of a quadratic function

It will take 1.5 seconds for the music player to fall to the bottom of the ravine

The equation of the function is given as:

[tex]t = \sqrt{\frac{8t + 24}{16}}[/tex]

Take the square of both sides

t² = (8t + 24)/16

Multiply both sides by 16

16t² = 8t + 24

Divide through by 8

2t² = t + 3

Set the equation to 0

2t² - t - 3 = 0

Expand the equation

2t² + 2t- 3t - 3 = 0

Factorize the equation to 0

2t(t + 1)- 3(t + 1) = 0

Factor out t + 1

(2t- 3)(t + 1) = 0

Expand

2t- 3 = 0 or t + 1 = 0

Solve for t

t= 1.5 or t =- 1

Time cannot be negative.

So, we have:

t = 1.5

Hence, it will take 1.5 seconds for the music player to fall to the bottom of the ravine

Read more about quadratic functions at:

https://brainly.com/question/1214333

[tex]4 {}^{2} - 5 {}^{2} \times 2 {}^{3} [/tex]

[tex]16 - 25 \times 8[/tex]

[tex]16 - 200[/tex]

[tex] - 184[/tex]

Hello!

Let's evaluate this expression.

4²-5²×2³

4²=16

16-5²×2³

5²=25

16-25×2³

2³=8

16-25×8

According to PEMDAS, the next operation is multiplication (M)

16-200

Subtract:

-184

Hence, the simplified expression is equal to

[tex]\boxed{\boxed{\bold{-184}}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

:-)

The probability that Shayla will select two red marbles from the bag is 1/16.

Probability determines the odds that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that Shayla will select two red marbles  = (number of red marbles / total number of marbles) x (number of red marbles / total number of marbles)

5/20 x 5/20 = 1/16

To learn more about probability, please check: https://brainly.com/question/13234031

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Answer:

.78

Step-by-step explanation:

i belive its .78 as you can multiply any given number by both and get the same answer

In the first integral, substitute [tex]x \to e^{\sqrt{e^x}}[/tex]:

[tex]\displaystyle I = \int_0^1 e^{\sqrt{e^x}} \, dx = 2 \int_e^{e^{\sqrt e}} \frac{dx}{\ln(x)}[/tex]

In the second integral, integrate by parts:

[tex]\displaystyle J = \int_e^{e^{\sqrt e}} \ln(\ln(x)) \, dx = \dfrac12 e^{\sqrt e} - \int_e^{e^{\sqrt e}} \frac{dx}{\ln(x)}[/tex]

It follows that

[tex]\dfrac{10^5}{e^{\sqrt e}}(I+2J) = \dfrac{10^5}{e^{\sqrt e}} \times e^{\sqrt e} = \boxed{10^5}[/tex]

Answer:

Number 1 is b

I found the answer on a website

Answer:

-9

Step-by-step explanation:

b={-2,3)

c=(3,-1)

dot product b.c

=(-2×3) + (3×-1)

=-6+(-3)

=-6-3

=-9

I don't think this is wrong

Answer:

A. Nonlinear function

Step-by-step explanation:

It is not a linear function because :-