How long is the arc intersected by a central angle of StartFraction pi Over 2 EndFraction radians in a circle with a radius of 4. 5 cm? Round your answer to the nearest tenth. Use 3. 14 for Pi.

Answer:

x/2 + y√3/2 = 4

Step-by-step explanation:

Step 1: Apply formula

Formula for this problem is :-

xcosα + ysinα = p

Step 2: Substitute values

xcos(60°) + ysin(60°) = 4

x(1/2) + y(√3/2) = 4

x/2 + y√3/2 = 4

Hope it helps.

;)

<3

Answer:

x=9

y=[tex]9\sqrt{2}[/tex]

Step-by-step explanation:

This is a special type of triangle known as a 45-45-90 triangle.

The ratio for the sides of this triangle are x:x:x[tex]\sqrt{2}[/tex]

Meaning that the two sides other than the hypotenuse are equal, so in this triangle x=9 because it is not a hypotenuse.

The hypotenuse, however, is the value of one side multiplied by [tex]\sqrt{2}[/tex].

In this case it is 9, so 9*[tex]\sqrt{2}[/tex] = [tex]9\sqrt{2}[/tex]

It would take about 23.1 months for the plant population to be 138 plants.

An exponential function is in the form:

y = abˣ

Where y,x are variables, a is the initial value of y and b is the multiplication factor.

Given:

[tex]P(m)=19.3(1.089)^m[/tex]

Where P is the plant population after m months.

For a population of 138 plants:

[tex]138=19.3(1.089)^m\\\\m*ln(1..089)=ln(7.15)\\\\m=23.1[/tex]

It would take about 23.1 months for the plant population to be 138 plants.

Find out more on Exponential Function at: https://brainly.com/question/12940982

Answer:

23.1

Step-by-step explanation:

edge

Answer:

b = 100 * 100

7.8

= 10000

7.8

= 50000

39

= 1282.05128%

Step-by-step explanation:

Is the question 7p+q/3 ?!

Then the answer is 138/3

Because 7*6 + 12/3

42+12/3

LCM is 3

126/3 + 12/3

= 138/3

Answer:

45

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

I dont know lalalalalalalalal

Answer: 7.5

Step-by-step explanation:

These triangles are similar by AA, meaning we can set up a proportion.

This proportion is 5/3 = x/4.5

x=(4.5)(5)/3 = 7.5

The length of kite’s shorter diagonal is 39 inches.

A kite is a quadrilateral (has four sides and four angles) in which adjacent sides are congruent and the diagonal bisect at 90 degrees.

Each leg of the upper triangle measures 41 inches and each leg of the lower one measures 50 inches. Hence half the length of the base = 80/2 = 40. The base = diagonal = 80 inches

Using Pythagoras:

41² = d₁² + 40²

d₁ = 9 inches

Also:

50² = d₂² + 40²

d₂ = 30 inches

Length of diagonal = 9 + 30 = 39 inches

The length of kite’s shorter diagonal is 39 inches.

Find out more on Kite at: https://brainly.com/question/25776644

Answer:

they are correct ^

Step-by-step explanation:

The net to compute the surface area of the three-dimensional figure is 166 square units.

The surface area is the area calculated for the three-dimensional object. As the three-dimensional object is made up of 2D faces, the surface area is the sum of the areas of all the faces of the figure.

A cuboid is a three-dimensional figure having length, width, and height. The surface area of a cuboid can be calculated by adding together the areas of the six faces.

For the given cuboid, length l = 8 , width w = 5 and height h = 5.

The surface area of the figure is given by;

[tex]\rm Area\ of \ Cuboid = 2 lw + 2 lh + 2 wh\\\\Area\ of \ cuboid= 2(7)(5)+2(7)(4)+2(5)(4)\\\\ Area\ of \ cuboid= 70+56+40\\\\Area\ of \ cuboid= 166 \ units^2[/tex]

Hence, the net to compute the surface area of the three-dimensional figure is 166 square units.

To know more about the surface area click the link given below.

https://brainly.com/question/8878439

Answer:

y=X+2

Step-by-step explanation:

you can use the equation y=Mx+c to give this solution!

Answer:

Step-by-step explanation:

Find the slope using the points

[tex]Slope =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\\=\dfrac{6-2}{4-0}\\\\\\=\dfrac{4}{4}\\\\\\=1[/tex]

m= 1.

y = mx + c

y = 1*x+ c

y = x + c

In this equation substitute x = 0 and y = 2 and find the valu of c

2 = 0 + c

c = 2

Equation of line CD:

y = x + 2

Answer:

x = 4

y = 3

Step-by-step explanation:

x - 4.6y = -9.8

-x + 4.8y = 10.4

multiply both equations by 5 to remove the decimals in the variables.

we then get this:

5x - 23y = -49

-5x + 24y = 52

multiply one of the equations by -1 to get this

-5x + 23y = 49

-5x + 24y = 52

now subtract the equations

0x -y = -3

y = 3

plug back into equation to get value of x

x - 4.6(3) = -9.8

x - 13.8 = -9.8

x = 4

\/////////////////////////////////////////////////

Answer:

Its b r=3/4

Step-by-step explanation:

mark me brainlist

Answer:

Use protractor to measure the X thanks me later

My answer is 33° use protractor to confirm it

#Carryonlearning

Answer:

x = 2.25

Step-by-step explanation:

8:6

So, 8/6 = 4/3 or 1.33333333 (decimal multiplier)

Therefore, 8 divided by 4/3 = 6.

Then, we could also do 3 divided by 4/3= 9/4 or 2.25.

2.25 x 4/3 = 3.

Answer:

x = 2.25

setting up proportionality:

[tex]\rightarrow \sf \dfrac{8}{3} = \dfrac{6}{x}[/tex]

[tex]\rightarrow \sf 8x = 18[/tex]

[tex]\rightarrow \sf x = \dfrac{18}{8}[/tex]

[tex]\rightarrow \sf x = 2.25[/tex]

Answer:

[tex]\sf d = 121.0[/tex]

given:

distance between two points formula:

[tex]\sf d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]

using the formula:

[tex]\sf d = \sqrt{(95 - 0)^2 + (5-80)^2}[/tex]

[tex]\sf d = \sqrt{9025 + 5625}[/tex]

[tex]\sf d = \sqrt{14650}[/tex]

[tex]\sf d = 5\sqrt{586}[/tex]

[tex]\sf d = 121.0[/tex]

Answer:

Step-by-step explanation:

7 1/3 t - (10 2/3 t - 6)                 Remove the brackets

7 1/3 t - 10 2/3 t + 6                  Combine the first 2 terms.

- 3 1/3 t +  6                              This binomial is the answer.

Answer:

9 kg

Step-by-step explanation:

1 kg = 1000 g → 9 kg = 9000 g

9000 g > 8500 g

9 kg > 8500 g

Answer:

3600mm

Step-by-step explanation:

Answer:

[tex] \frac{\pi}{4}, \: \frac{5\pi}{4}[/tex]

Step-by-step explanation:

[tex] \sin(x).\tan(x) = \sin(x) \\ \\ \implies \tan(x) = \frac{\sin(x) }{\sin(x)} \\ \\ \implies \tan(x) = 1 \\ (\because\:0\leq x\leq 2\pi) \\\\ \implies \tan(x) = \tan \frac{\pi}{4} \: or \: \tan(x) = \tan \bigg(\pi + \frac{\pi}{4} \bigg) \\ \\ \implies x = \frac{\pi}{4} \: or \: x = \frac{5\pi}{4} \\ \\ \huge{\purple{x = \frac{\pi}{4}, \: \frac{5\pi}{4}}}[/tex]

Answer:

15x-36

Step-by-step explanation:

let's simply get the area of the larger square, and then get the area of the smaller square and subtract the area of the smaller square from that of the larger square, what's leftover is the shaded region.

[tex]\stackrel{\textit{area of the larger square}}{(4x-6)(4x-6)\implies \stackrel{F~O~I~L}{16x^2-48x+36}} ~\hfill \stackrel{\textit{area of the smaller square}}{(x)(x)\implies x^2} \\\\[-0.35em] ~\dotfill\\\\ (16x^2-48x+36)~~ - ~~(x^2)\implies 15x^2-48x+36 \\\\\\ 3(5x^2-16x+12) \implies 3(5x-6)(x-2)[/tex]

Answer:

I am pretty sure that it is 105 dollars

Answer:

y = 3x + 1

Step-by-step explanation:

You have to use y = m x + c to find the equation of the line.

Here,

m ⇒ slope

c  ⇒  y - intercept

First let us find the slope by using the below formula.

For that, let us use the given coordinates.

( -1 , -2 ) ⇒ ( x₁ , y₁ )

(-2 , -5)  ⇒  ( x₂ , y₂ )

m = [tex]\frac{y_1-y_2}{x_1-x_2}[/tex]

m = [tex]\frac{-2-(-5)}{-1-(-2)}[/tex]

m = [tex]\frac{-2+5}{-1+2}[/tex]

m = [tex]\frac{3}{1}[/tex]

m = 3

Now we have to find the y - intercept.

For that we can use any coordinate for that.

Let us use ( -1 , -2 ) coordinate.

y = m x + c

-2 = 3 × -1 + c

-2 = -3 + c

- 2 + 3 = c

1 = c

Let us write the equation of the line now.

y = m x + c

y = 3 x + 1

Let me know if you have any other questions. :-)

Answer: y = (6+x^2) (D)

Step-by-step explanation: The equation of this line is not linear since it curves and does not pass the vertical line test.

Answer:

49.55

Step-by-step explanation:

okay so, what we do is
Get 15% of 23
Get 15% of 32

15% of 23 is 3.45

15% of 32 is 4.80

Now we do

23 - 3.45

32 - 4.80

23 - 3.45 is 19.55

32 - 4.80 is 27.2

This is the part im not 100% on

27.20 + 19.55 is 46.75

6% of 46.75 is 2.80

46.75 + 2.80 is 49.55

Now i dont know if its that way or if you apply the 6% sale tax to each individual item

Question: A clothing store is having an anniversary sale. Every piece of clothing in the

store is 15% off. If Lara bought a belt that was originally priced $23 and a

sweater that was originally $32, what is the final price after 6% sales tax?

Answer: $44.89

Step-by-step explanation:

23+32=55

15% of 55 = $8.25

leaves $47.75

6% of 47.75 = $2.87

leaves $44.89

Your answer is below;

[RevyBreeze]

Answer:

Yes

Step-by-step explanation:

A^2+B^2=C^2

11^2+60^2=61^2

121+3600=3721

3721=3721

:)

Answer:

he got 95 questions correct and 55questios wrong.

Step-by-step explanation:

i hope this will help

Answer:

-4x+1/10

Step-by-step explanation:

Factor out common term X    X(-1/2-5+3/2)-1/5+3/10

Simplify=-4x-1/5+3/10

-1/5+3/10=1/10

-4x+1/10