a triangle is inscribed inside another triangle . the base of the interior triangle is 9cm. what is the area of the shaded region?
a. 54cm
b. 81cm
c. 108cm
d. 162cm

Answer:

Step-by-step explanation:

You suck free points

The change of the distance travelled by the ball when the angle of launch

changes can be found by linear approximation.

Reasons:

The distance of the player from the basket = 18.6 ft.

Height from which the jump shot is launched = 10 ft.

Angle of the jump shot = 36°

The initial velocity = 25 ft./s

According to Newton's Law of motion, the distance an object travels when

released at an angle θ, with an initial velocity, v, is given by the following

horizontal range formula equation;

[tex]s = \dfrac{1}{32} \cdot v^2 \cdot sin(2 \cdot \theta)[/tex]

[tex]\dfrac{ds}{d\theta} =\dfrac{d}{d\theta } \left( \dfrac{1}{32} \cdot v^2 \cdot sin(2 \cdot \theta) \right)= \dfrac{v^2 \cdot cos(2 \cdot \theta)}{16}[/tex]

By linear approximation, we have;

[tex]\Delta s = \dfrac{ds}{d\theta} \times \Delta \theta[/tex]

Which gives;

[tex]\Delta s =\dfrac{25^2 \cdot cos(2 \times 36^{\circ})}{16}\times \Delta \theta \approx 12.07 \times \Delta \theta[/tex]

360° = 2·π radians

[tex]12.07 ^{\circ} = \dfrac{2 \cdot \pi}{360} \times 12.07 \approx 0.211 \ radians[/tex]

Δs ≈ 0.211·Δθ

Therefore;

The change in the distance, Δs, when the angle changes by Δθ is 0.211·Δθ.

Learn more here:

https://brainly.com/question/17026396

Answer:

1. m = 4x - 5

2. R = 3(5 + x)

Step-by-step explanation:

let x represent the age(X)

let M represent Maria's age(M)

m = 4x - 5

2.

Let R represent the length of a rectangle (R)

Let X represent it's width (X)

R = 3(5 + x)

Answer:

Step-by-step explanation:

10000*7%= $700.00

2500-700=1800

1800 is 10% of 18,000

So 18,000 +10,000 = 28,000 in sales is needed to get $2,500 in commission.

Answer:

Step-by-step explanation:

Answer:

fourth root of 12*13^3          

-------------------------------- - 2

                13

Step-by-step explanation:

First focus on the 132/143 expression inside the 4th root function.

132/143 = 12/13

and so we have:

fourth root of 12/13 - 2

We must rationalize the denominator of the expression shown above.  In other words, 12/13 must be rewritten so that the denominator is the fourth power of 13.  To do this, multiply that 12 by 13^3 and that 13 by 13^3:

                        12*13^3                          

fourth root of { --------------  }

                           13^3*13

This simplifies to:

fourth root of 12*13^3          

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

                13

To obtain the final answer, subtract 2 as shown in the original problem:

fourth root of 12*13^3          

-------------------------------- - 2

                13

Answer:

B .The solutions are not viable because the amount of the sale cannot be negative.

Step-by-step explanation:

In this scenario, the calculations would make sense since the online auction charges a flat fee of $1.20 plus 2% of the amount of the sale. Since the sale is said to be -5 the 2% would be -0.1 therefore, making the total charge $1.1 which is what is given in the question. Unfortunately, -5 is not a viable value for the sale because if a sale is made it means that money was paid to the seller and that would only be a positive integer not a negative one. Thus, making this solution not viable.

Answer:

-4<_ 3

Step-by-step explanation:

Answer:

For the first row, write 5(0)-1 = 0-1. y is equal to -1.

For the second row, write 5(1)-1 = 5-1. y is equal to 4.

For the third row, write 5(2)-1 = 10-1. y is equal to 9.

For the fourth row, w rite 5(3)-1 = 15-1. y is equal to 14.

Step-by-step explanation:

Hope this helps!

Answer:

The x-intercept is : (22, 0)

Step-by-step explanation:

From the table values, we determine that it is a straight line as there is a constant change in x and y values.

i.e.

Any previous value of y can be obtained by subtracting 15 from the successor y value.

i.e.

60 - 15 = 45

45 - 15 = 30

so if continue, we can also determine some of the other values of y such as

30 - 15 = 15

15 - 15 = 0

Also, there is a constant change in x values. so, any previous value of x is obtained by subtracting 13 from the successor x value.

i.e.

74-13 = 61

61-13 = 48

48-13=35

35-13=22

So, from the above analysis, we determine that when the value of y = 0, the value of x = 22.

We also know that the x-intercept is the point where the line crosses the x-axis. At this point y = 0.

so, at y = 0, the value of x = 22.

Therefore, the x-intercept is : (22, 0)

Answer:

(22, 0)

Step-by-step explanation:

I got it right on khan

Answer:

-64

Step-by-step explanation:

Because an exponent is basically a number repeated multiple times. So -4 x -4 x -4 would equal -64.

Answer:

Yes, quadrilateral ABCD is rectangle.

Step-by-step explanation:

This is because by looking at the terminology of ABCD, there are 4 variables in total together. This is also because when you see 4 variables together as one, it is a 4 sided quadrilateral.

Feel free to give brainliest.

Have an amazing day!

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

[tex] \frac{1}{R} = \frac{1}{8} + \frac{1}{12} \\ [/tex]

[tex] \frac{1}{R} = \frac{1 \times 3}{8 \times 3} + \frac{1 \times 2}{12 \times 2} \\ [/tex]

[tex] \frac{1}{R} = \frac{3}{24} + \frac{2}{24} \\ [/tex]

[tex] \frac{1}{R} = \frac{3 + 2}{24} \\ [/tex]

[tex] \frac{1}{R} = \frac{5}{24} \\ [/tex]

Inverse both sides

[tex] \frac{R}{1} = \frac{24}{5} \\ [/tex]

[tex]R = \frac{24 \times 2}{5 \times 2} \\ [/tex]

[tex]R = \frac{48}{10} \\ [/tex]

[tex]R = 4.8 \: \: Ω[/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

The correct answer is (( B )) .

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

It would be 10 14/25

Step-by-step explanation:

You could use a calculator for this, but that’d be cheating so let me explain.

We make both of our fractions improper first

4 4/5 = 24/5

2 1/5 = 11/5

We won’t need to change the “bottom number“ since they’re already the same, so let’s multiply them now.

24 x 11 = 264

————

5 x 5 = 24

Ten 24s can fit into 264 so our final number is

10 14/25

Answer:

Step-by-step explanation:

9x-22=11x-54  take 9x from each side

-22=2x-54  add 54 to each side

32=2x  divide by 2

16=x

Answer:

x = 7

Step-by-step explanation:

If DF = FE , then m∠D = m∠E ⇒ 5x = 3x + 14

2x = 14 ⇒ x = 7

Answer:

A

Step-by-step explanation:

Answer:

a) P = 5000(1.014)^y

b) 5,908

Step-by-step explanation:

Here, we want to write an exponential growth model;

a)The model will be represented as;

P = 5000( 1.014)^y

where P is the population at a particular year after 2010

y is the number of years after 2010

b.) For 2022;

y = 2022-2010 = 12

P = 5000(1.014)^12

P = 5,908 approximately

Answer: it’s A

Step-by-step explanation: I got it right, hope it helps ✨

The value of the expression  [tex](\frac{3^{2}a^{-2} }{3a^{-1} } )^{k}[/tex] when a = 5 and k = -2 is [tex]\frac{25}{9}[/tex]

The expression is as follows:

[tex](\frac{3^{2}a^{-2} }{3a^{-1} } )^{k}[/tex]

using law of indices

Hence,

when a = 5, k = -2

[tex](\frac{3^{2}a^{-2} }{3a^{-1} } )^{k} = (\frac{9(5^{-2} )}{3(5^{-1} )})^{-2}[/tex]

Then,

[tex](\frac{9(5^{-2} )}{3(5^{-1} )})^{-2}=(\frac{\frac{9}{25} }{\frac{3}{5} } )^{-2}[/tex]

[tex](\frac{\frac{9}{25} }{\frac{3}{5} } )^{-2}=(\frac{9}{25} (\frac{5}{3}))^{-2}[/tex]

[tex](\frac{9}{25} (\frac{5}{3}))^{-2}=(\frac{3}{5})^{-2}[/tex]

[tex](\frac{3}{5})^{-2}=\frac{25}{9}[/tex]

Therefore, the value of the expression is 25 / 9

learn more on expression here:https://brainly.com/question/12879207

#SPJ5

Answer:

x=15/8

Step-by-step explanation:

Given: 2/3x-1/5x=x-1

Determine LCD: 10/15x-3/15x=x-1

Combine like terms: 7/15x=x-1

Get x on one side only: -8/15x=-1

Divide the coefficient on both sides: x=15/8

Answer:

-3y < -2/5

Step-by-step explanation:

Multiplied means times

-3y

is less than means <

-3y < -2/5

Answer:

900

Step-by-step explanation:

I used the box method

Answer:

ha

Step-by-step explanation:

b = boys

g = girls

[tex]b:g=11:9, b=g+124[/tex]

[tex]b=11g/9[/tex]

Insert in the second equation

[tex]11g/9=g+124[/tex]

Solve for g

[tex]11g=9g+124\cdot9[/tex]

[tex]2g=124\cdot9\implies g=62\cdot9=\boxed{558}[/tex]

Solve for b

[tex]b=g+124=\boxed{682}[/tex]

Hope this helps.

Answer:

There wouldn't be a fraction form because its a whole number which is 9

Answer:

I think it might be 4072 I forget how to do this kind of math sorry.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given the function y = 19800/x

Vertical asymptote occurs at when f(x) = 0 where;

f(x) is the denominator of the given function.

From the expression given: f(x) = x

Since f(x) => 0, hence x = 0

To get the horizontal asymptote, we will look at the degree of the numerator and denominator. If the degree of numerator is less than the denominator, the horizontal asymptote will be zero. From the function, we can see that the degree of the numerator is zero (being a constant) and that of the denominator is 1.

Since 0<1, hence the horizontal asymptote is 0

x = 0, y = 0

Answer:

x = 0

y = 0

second question is b

third question is b

and forth is c

Step-by-step explanation:

Answer:3:9

Step-by-step explanation: in this problem, it means "pears to apples". The "to" refers to the : . You put the amount of pears (3), then the "to" (:) then the amount of apples (9) to get your answer of 3:9. You can use this to help with other problems like this :D

Answer:

Step-by-step explanation:

1. x+6=14

  14-6=8

  x=8

2. 15/x=3

   15/3=x

   x=5

3. 7*x=56

   56/7=8

   x=8

4. x^2-4=12

  x=4, x=-4

5. 1/4x=10

  x/4 = 10

  x = 40

6. 3x-9=18

    x=9

7. 1/2x-10=14

   x/2-10=14

   x=48

8.x/8=9

   8*9=72

  x=72

9.2x+3=24

   2x=21

 x=21/2

10.20*x=140

   140/20=7

   x=7