If you can could you help with 27-30 please

Answer:

(x + 3)^2 + (y - 5)^2 = 17

Step-by-step explanation:

To find the radius: distance from point (-2,1) to the center from point (-3,5).

d = sqrt [(-2 - -3)^2 + (1 -5)^2]

d = sqrt [(-2 + 3)^2 + (1 -5)^2]

d = sqrt (1)^2 + (-4)^2 = sqrt 17

Radius = sqrt 17

Equation of the circle:

(x - h)^2 + (y - k)^2 = r^2

h = 3, k = 5, r = sqrt 17

(x - -3)^2 + (y - 5)^2 = (sqrt 17)^2

(x + 3)^2 + (y - 5)^2 = 17

Answer:

X=25

Step-by-step explanation:

The angle of (x+30) is the same as the angle of 55. Simply subtract 30 from 55.

Answer:

420

Step-by-step explanation:

130/100x = 546

x=54600/130

x=5460/13

x=420

Step-by-step explanation:

Answer:

Step-by-step explanation:

Lets find the slope of the graph for Jennifer's record.  THe slope represents her rate.

Slope = (y2 - y1) / (x2 - x1)

 Lets use the first two points.

 Slope = (8 - 5) / 64 - 40)

         = 3 / 24

         = 1 / 8

Use the second and third points.

 Slope = (10 - 8) / (80 - 64)

        = 2 / 16

        = 1 / 8

Last points.

 Slope = (12 - 10) / (96 - 80)

        = 2 / 16

        = 1 / 8

 The slopes are constant.  

 Now we compare the slopes.  Use the LCD to compare fractions.  

1 / 9 = 8 / 72

 1 / 8 = 9 / 72

 9 / 72 > 8 / 72

 Jennifer has the faster training rate.  She can cover more distance in less time than Patrick can.

Answer:

40° and 50°

Step-by-step explanation:

90=(x+10)+x

90=2x+10

80=2x

40=x

Therefore the answer is,

40 and 40+10

40° and 50°

Answer:

50° and 40°

Step-by-step explanation:

Complementary angles sum to 90°

let one angle be x then the other is x - 10

x + x - 10 = 90

2x - 10 = 90 ( add 10 to both sides )

2x = 100 ( divide both sides by 2 )

x = 50

x - 10 = 50 - 10 = 40

The angle measures are 50° and 40°

Answer:

-14.4

Step-by-step explanation:

-6x(-0.6)x(-4)= -14.4

[tex] - \frac{6(5 - 2x)}{5x} [/tex]

i hope its help

Answer:

Terms:4x, -2x

Coefficients:4, 2

Constant:3

Answer:

One t-shirt would cost $3.50

Step-by-step explanation:

$21 / 6 t-shirts = 3.50 each

Answer:

3.50

Step-by-step explanation:

6(2) = 12

6(2.50) = 15

6(3) = 18

6(3.50) = 21

If he paid $21 for 6 t-shirts and each t-shirt was the same price...then the cost of 1t-shirt was $3.50. If you want to double-check this, divide $21.00 by $3.50 and you should get 6 as the answer!

Answer: To convert a fraction into a whole number: Divide the numerator by the denominator, only if the numerator is a multiple of the denominator. Let us see an example of this conversion.

this is for algrebra so it might not be what you are looking for

Answer:

18 crayon in both boxes.

Step-by-step explanation:

Asked:  Greatest number of equal crayons in both boxes.

Facts:

Number of crayons in pack 1 = 24

Number of crayons in pack 2 = 12

Total crayons in both packs  = 24 + 12 = 36

Plan:

If both packs need to have equal crayons, then it should be dived by 2.

Solution:

36 ÷ 2 = 18

Answer:

2.4%

Step-by-step explanation:

Answer:

2.4 percent

Step-by-step explanation:

Answer:

3. W=4, L=10

4. W=4, L=8

Step-by-step explanation:

3.

L = 3W-2

W = W

P = 2L + 2W

P = 2(3W-2)+2W

P=28

2(3W-2)+2W=28

8W-4=28

8W=32

W=4

L=3W-2, or 10

Check: 2(4)+2(10) = 28? Yes

4.

L=2W

W=W

P=24

2L+2W=24

2(2W)+2W=24

6W=24

W=4

L=8

Check: 2(8)+2(4)=24 ? 16+8 = 24 Yes

Answer:  b = 3

Step-by-step explanation:

9 − 27 = 3(2 − 8) + 2

9 − 27 = 6 − 24 + 2

9 − 27 = 6 − 24+ 2

9 − 27 = 8 − 24

9−27=8−24

9−27+27=8−24+27

9 = 8 + 3 ------Subtract 8b from both sides

b = 3

Answer: spiral

Step-by-step explanation:

The shape that our galaxy have is : Spiral, because "Spiral-Structure" provides the Milky-Way its name. option (b) is correct.

Our galaxy, the Milky-Way, is classified as a spiral galaxy. Spiral-Galaxies are characterized by their distinct spiral arms that radiate from a central bulge. These arms contain stars, gas, dust, and other celestial objects.

The Milky-Way's spiral arms are home to a significant portion of its stars and are formed due to the gravitational interactions between different parts of the galaxy. This spiral structure gives the Milky-Way its name and appearance when observed from certain angles.

Spiral galaxies are one of the most common types of galaxies in the universe, and they play a crucial role in our understanding of cosmic structures.

Therefore, the correct option is (b).

Learn more about Galaxy here

https://brainly.com/question/32872198

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The given question is incomplete, the complete question is

Which shape does our galaxy have?

(a) circular

(b) spiral

(c) irregular

(d) elliptical.

Hello, to do this, simply do 8.16 divided by 12 to get 0.68 cents per pound. 0.68 is your price per pound.

Answer:

Step-by-step explanation:

1,2,4,5

The correct statements are,

m∠R > 90°

m∠S + m∠T < 90°

m∠R > m∠T

m∠R > m∠S

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Here, RST is a triangle,

Therefore,  

m∠R + m∠S + m∠T = 180°

⇒ m∠S+m∠T = 180° - m∠R

Since, m∠R > m∠S + m∠T

⇒ - m∠R < - (m∠S + m∠T) (by multiplying-1 on both sides)

⇒ 180°- m∠R < 180° - (m∠S + m∠T) (by adding 180° on both sides)

⇒ m∠S+m∠T < 180° - (m∠S + m∠T)

⇒ m∠S+m∠T+ m∠S+m∠T < 180° ( by adding m∠S + m∠T on both sides)

⇒ 2(m∠S+m∠T) < 180°

⇒ m∠S+m∠T < 90°

⇒ m∠R > 90° ( because m∠R+m∠S+m∠T = 180° )

Again, m∠R > m∠S + m∠T

⇒ m∠R > m∠S and  m∠R > m∠T

Thus, Option first second fourth and fifth are correct.

Since, m∠S = m∠T is only possible when m∠R=90° (but it is not given)

That is why m∠S = m∠T is not correct.

And, there are not enough information to prove m∠S > m∠T

That is why  m∠S > m∠T is also incorrect.

Learn more about the triangle visit;

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Hello AljakeVillena!

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

You pull horizontally on a 50-kg crate with a force of 450 n and the friction force on the crate is 250 n. the acceleration of the crate is ?

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

Given,

__________________

Let's first find the total force/net force acting on the crate. The total force will be :-

We subtracted the forces because both the forces act on opposite directions.

__________________

Now, let's find the acceleration of the crate. To find the acceleration we must divide the net force by the mass. So,..

__________________

So, the acceleration of the crate is 4 m/s².

__________________

Hope it'll help you!

ℓu¢αzz ッ

Force is mass times acceleration for linear motion. The acceleration of the crate in considered situation is  4 N/kg

If net force is applied on an object of mass "m" in linear direction, with magnitude F, then, acceleration of that object is:

[tex]a = \dfrac{\rm F}{\rm m} \: \rm[/tex]

(assuming one dimensional motion, force is also in that dimension).

Here, it is given that crate's mass m = 50kg

Force pulling the crate = 450 N (positive since it is in direction of motion (horizontal)

Force resisting the crate = -250 N (negative since it is opposite to the direction of motion).

Net force on crate = 450 N + (-250 N ) = 200N (positive, thus, in the direction of motion).

Acceleration of the crate = 200/50 = 4 N/kg

Thus,  the acceleration of the crate in considered situation is  4 N/kg

Learn more about acceleration here:

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Answer:

x=22

Step-by-step explanation:

because 3x+24=90

3x=90-24

3x=66

x=22

brainlist please

Answer:

A

Step-by-step explanation:

Answer:

9/2 simplified

and 4 1/2 as a mixed number

Answer:

Fraction: 9/2

Mixed: 4 1/2

Step-by-step explanation:

We do this by first finding the greatest common factor of 90 and 20, which is 10.

Then, we divide both 90 and 20 by the greatest common factor to get the following simplified fraction:

9/2

Therefore, this equation is true:

90/20 = 9/2

If the numerator is greater than or equal to the denominator of a fraction, then it is called an improper fraction. In that case, you could convert it into a whole number or mixed number fraction.

9/2 = 4 1/2

x = frac{−1}{2}y + frac{45}{2}

Answer:

y- intercept = [tex]\frac{4}{5}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 2x + [tex]\frac{4}{5}[/tex] ← is in slope- intercept form

with y- intercept c = [tex]\frac{4}{5}[/tex]

Answer:

A.) 7:1 (which is 5.25 : 0.75 simplified)

B.) 0.75 : 6

Step-by-step explanation:

Answer:

2 (-3 - 1) = 6 (-1)?? If thats the equation you were trying to type then the answer is: -8 = -6

Step-by-step explanation:

Answer:

D) 18 bags of chips and 6 jars of salsa

Step-by-step explanation:

Given :  The networking organization you joined is throwing a party. You are in charge of buying the chips, which cost $2.50 per bag and salsa, which costs $4 per jar. The chips & salsa budget you are given totals $60.

Inequality: [tex]2.5x+4y[/tex] ≤ [tex]60[/tex]

Solution :

x represents chips

y represents salsa

Option a: 10 bags of chips and 2 jars of salsa

so, x = 10 and y =2

Putting values in inequality

[tex]2.5(10)+4(2)[/tex] ≤[tex]60[/tex]

[tex]25+8[/tex] ≤[tex]60[/tex]

[tex]33[/tex]≤[tex]60[/tex]

Hence it is correct.

Option c : 14 bags of chips and 5 jars of salsa

so, x = 14 and y =5

Putting values in inequality

[tex]2.5(10)+4(2)[/tex]≤[tex]60[/tex]

[tex]50+8[/tex]≤[tex]60[/tex]

[tex]58[/tex]≤[tex]60[/tex]

Hence it is correct.

Option c : 14 bags of chips and 5 jars of salsa

so, x = 14 and y =5

Putting values in inequality

[tex]2.5(14)+4(5)[/tex]≤[tex]60[/tex]

[tex]35+20[/tex]≤[tex]60[/tex]

[tex]55[/tex]≤[tex]60[/tex]

Hence it is correct.

Option d :18 bags of chips and 6 jars of salsa

so, x = 18 and y =6

Putting values in inequality

[tex]2.5(18)+4(6)[/tex]≤[tex]60[/tex]

[tex]45+24[/tex]≤[tex]60[/tex]

[tex]69\geq 60[/tex]

Hence it is not correct since it violates the inequality