The radius of a circle is 5 kilometers. What is the length of a 90° degree arc?

Answer:

x = √75

Step-by-step explanation:

We can write out all relations of each triangle here using the Pythagorean theorem (there are 3 triangles total). The triangles are ABD, BCD, and ABC.

For triangle ABD:

AB² = AD² + BD²

AB² = (AC - DC)² + BD²

y² = (15 - 5)² + BD²

y² = 100 + BD²

For triangle BCD:

x² = BD² + 5²

x² = BD² + 25

For triangle ABC:

15² = x² + y²

225 = x² + y²

From here we can substitute into the equation ABC. We can substitute x² and y² with our first and second equations.

225 = BD² + 25 + 100 + BD²

225 = 2BD² + 125

100 = 2BD²

50 = BD²

We don't need to solve for BD, we can substitute it into our equation for triangle BCD to solve for x.

x² = BD² + 25

x² = 50 + 25

x² = 75

x = √75

Answer:

D

Step-by-step explanation:

took the test

To eliminate the y-terms and solve for x in the fewest steps , the first equation should be multiplied by 9 and the second equation by -4.

The equation is as follows:

5x - 4y = 28

3x - 9y = 30

To eliminate the y-terms and solve for x can be done as follows:

Multiply the equation(i) by 9

45x - 36y = 252

Multiply the equation(ii) by -4

Therefore,

-12x + 36y = -120

45x - 36y = 252

-12x + 36y = -120

y will be eliminated by adding the equations.

Therefore, to eliminate the y-terms and solve for x in the fewest steps , the first equation should be multiplied by 9 and the second equation by -4.

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Answer:

6 feet

Step-by-step explanation:

that is the answer

Step-by-step explanation:

5,682,850,003;

Five billion, six hundred and eighty two million, eight hundred and fifty thousand and three.

This is the Answer in written form.

Answer: Five billion, six hundred and eighty two million, eight hundred and fifty thousand and three or do you mean like this

5,682,850,003= 5,000,000,000 +600,000,000+80,000,000+2,000,000 +800,000 +50,000 +0 +0+0+3  

Step-by-step explanation:

Answer:

t=-4

Step-by-step explanation:

I know you don't care about any explanation, and just want the answer, but to get this, you can add 7 to both sides. Then you get -6t=24. Divide both sides by -6 and you get -4

Answer:

djhvfhdvfhdfjhdjf

Step-by-step explanation:

dhfhjegfjhdbjfhbdjfgsdj

Answer:

El costo de alquiler de cada película es $26 y el costo de alquiler de cada juego de video es $59.50.

Step-by-step explanation:

A partir de la información proporcionada, puedes escribir las siguientes ecuaciones:

4x+8y=580 (1)

2x+3y=230.50 (2), donde:

"x" es el costo de alquiler de cada película y "y" es el costo de alquiler de cada juego de video.

Primero, puedes despejar x en (1):

4x=580-8y

x=145-2y (3)

Segundo, debes reemplazar (3) en (2):

2(145-2y)+3y=230.50

290-4y+3y=230.50

290-230.50=4y-3y

y=59.50

Tercero, debes reemplazar el valor de y en (3) para encontrar el valor de x:

x=145-2(59.50)

x145-119

x=26

De acuerdo a esto, la respuesta es que el costo de alquiler de cada película es $26 y el costo de alquiler de cada juego de video es $59.50.

Answer:

Horizontal lines have a slope of zero no matter where the line is graphed. This is because the rise of any horizontal line will always be zero, regardless of the x values.

Answer:

x = 32

y = 51

m∠N = 14°

Step-by-step explanation:

Given:

ΔMNP ≅ ΔTUS

By the property of similarity,

MN ≅ TU, NP ≅ US and MP ≅ TS

m∠M = m∠T = 142°,

m∠N = m∠U = (2x - 50)°

m∠P = m∠S = 24°

Since, m∠N = [180°- (m∠M + m∠P)]

(2x - 50) = 180 - (142 + 24)

2x - 50 = 14

2x = 64 ⇒ x = 32

Since, NP = US,

2x - y = 13

2(32) - y = 13

64 - y = 13

y = 51

m∠N = 180° - (142 + 24)°

          = 14°

The value is x = 32 , y = 51 , and m∠N = 14°

Given that  

Based on the above information, the calculation is as follows:

Here we use the property of similarity,

So,  

MN ≅ TU, NP ≅ US , and MP ≅ TS

Based on this

m∠M = m∠T = 142°,

m∠N = m∠U = (2x - 50)°

m∠P = m∠S = 24°

As

m∠N = [180°- (m∠M + m∠P)]

(2x - 50) = 180 - (142 + 24)

2x - 50 = 14

2x = 64

x = 32

As, NP = US,

2x - y = 13

2(32) - y = 13

64 - y = 13

y = 51

m∠N = 180° - (142 + 24)°

= 14°

Therefore the above are the answers.

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Answer:

20

Step-by-step explanation:

Answer:

a dolphin swimming 100 feet below sea level

Step-by-step explanation:

Plato

Answer:

2

Step-by-step explanation:

f(2)=3(2)-4

hope this helps :)

Answer:

(-8, 9)

Step-by-step explanation:

A 180 degree rotation is:

[tex](x,y)\rightarrow(-x,-y)[/tex]

Apply the rule to the point given:

[tex](8,-9)\rightarrow\boxed{(-8,9)}[/tex]

Hope this helps.

The image of the point (8,-9) after a rotation of 180° counterclockwise

about the origin is (-8, 9).

Let the point be having coordinates (x,y).

Case 1: If the point is in first quadrant:

Subcase: Clockwise rotation:

Then (x,y) → (y, -x)

Subcase: Counterclockwise rotation:

Then (x,y) → (-y, x)

For points on axes, You can take that point in any of the two surrounding quadrants. Example, if the point is on positive x axis, then it can taken as of first quadrant or fourth quadrant.

It is noted that for a 180 degree rotation the points move from (x, y) to (-x, -y)

A 180 degree rotation is:

(x, -y) ---  (-x, y)

Apply the rule to the point given:

(8,-9) --- (-8, 9)

Hence, The image of the point (8,-9) after a rotation of 180° counterclockwise about the origin is (-8, 9).

Learn more about rotation of a point with respect to origin here:

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Answer:

y=(1/2)x+3

Step-by-step explanation:

We can see that the slope is 1/2 because for every 1 unit y goes up, you move 2 units in the x direction. Then we can see that the y intercept is 3.

If we plug in these values to our equation for a line (y=mx+b), where m is the slope and b is the y-intercept, we get:

y=(1/2)x+3 or y=.5x+3

Answer:

f(x) = |x + 2|

General Formulas and Concepts:

Transformations Graph: f(x) = a|bx - c|+ d

Step-by-step explanation:

Step 1: Define

We see a transformation from a parent function of the absolute value.

Parent Graph: f(x) = |x|

Step 2: Find equation of graph

We see the transformation moving horizontally 2 units to the left.

c = -2

f(x) = |x + 2|

Answer:

36

Step-by-step explanation:

Ok, so the expression we are given is [tex]x^{4}[/tex] ÷ 3 + 9.

We know that x = 3, so we need to substitute 3 in as x.

So, now the expression looks like [tex]3^{4}[/tex] ÷ 3 + 9.

Now we can solve this expression.

First we need to figure out what  [tex]3^{4}[/tex] is equal to.

1.  [tex]3^{4}[/tex] = 81

We're left with 81 ÷ 3 + 9.

Next, we need to divide our 81 by our 3.

2.  81 ÷ 3 = 27

Our new expression is 27 + 9.

Last, we need to add our 27 and our 9 together.

3.  27 + 9 = 36

Our answer is 36.

So [tex]x^{4}[/tex] ÷ 3 + 9 when x = 3 is 36.

Feel free to give brainliest.

Have a great day!

Answer:

48°

Step-by-step explanation:

The m in front of the angle notation refers to the measure of the angle labeled A, B and C (with vertex at B)

Two Angles are Supplementary when they add up to 180 degrees.

HENCE,

∠A + ∠B =180 (given)

⇒4x - 16 +8x + 4 = 180°

⇒12x - 12 = 180°

⇒12x = 192

⇒x = 16 ----1

substituting eq1 in ∠A,

=> 4(16) -16

=> 64 - 16

=> ∠A = 48°

Answer:

48

Step-by-step explanation:

The definition of supplementary means that the two angles add up to 180. so you set both expressions up to where they add to 180. like this

4x-16+8x+4=180

combine like terms

12x-12=180

12x=192

divide to get x

x=16.

You need the measure of angle A so you plug it back in

4(16)-16

64-16

48 is the measure of angle A, and since these angles are supplementary, that means angle B is 132

Answer:

1. D

2. D

Step-by-step explanation:

Answer:

i thinks it's D im not so sure but i think it's D

Answer:

8.2, 10.5, 5.5

Step-by-step explanation:

To find: quotient when 7 is divided by 0.85, 9.6 is divided by 0.91 and 17.7 is divided by 3.2

Solution:

Division is one of the arithmetic operations.

7 divided by 0.85 = [tex]\frac{7}{0.85}=\frac{700}{85} =8.2[/tex]

9.6 divided by 0.91 = [tex]\frac{9.6}{0.91}=\frac{960}{91} =10.5[/tex]

17.7 divided by 3.2 = [tex]\frac{17.7}{3.2}=\frac{177}{32} =5.5[/tex]

Answer:

Its C

Step-by-step explanation:

Answer:

because two angles are equal

Answer:

b= 4a-c

Step-by-step explanation:

There isnt an actual number you can solve for here so just say what b equals to.

4a-b=c

Move b

4a=b+c

Move C

4a-c=b

Answer:

y = 6/5x + 2

Step-by-step explanation:

First let's fix this equation

5x + 6y = 36 (subtract 5x on both sides)

6y = -5x + 36 (divide by 6 on both sides)

y = -5/6x + 6

NOW

The perpendicular slope of this equation is 6/5

Now we have to plug in (-5,-4) to get the y-intercept

-4 = 6/5(-5) + b  (distribute 6/5 to -5)  (b represents the y-intercept)

-4 = -6 + b (add 6 on both sides)

2 = b

So your equation is...

y = 6/5x + 2

HOPE THIS HELPED!!!!!

Answer:

6

Step-by-step explanation:

because u add them together and get 41, which is 5.125 and that means you need one more than 5 tables to sit everyone