Calculate the distance between the points K=(-5, 1) and C = (3, -2) in the coordinate plane.

This value is approximate because pi = 22/7 is approximate.

===========================================================

Explanation:

Let's find the perimeter of the wheel, aka the circumference

C = pi*d

C = (22/7)*77

C = 242

The distance around the tire is approximately 242 cm

At first glance, it looks like one revolution will do the trick. However, we need to cover 242 meters and not 242 cm.

We can say the following

1 meter = 100 cm

242 meters = 24200 cm .... multiply both sides by 242

One revolution covers 242 cm, which is 1/100 of the distance we need to cover. So that means we need to do 100 revolutions to get to the target we're after.

1 revolution = 242 cm

100 revolutions = 24200 cm ... multiply both sides by 100

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

We could also use a proportion to solve

(1 revolution)/(242 cm) = (x revolutions)/(24200 cm)

1/242 = x/24200

1*24200 = 242x

242x = 24200

x = 24200/242

x = 100

Answer: 6

Step-by-step explanation:

4+(x-3) = 2x-5

x+1 = 2x-5

x=6

Answer:

Step-by-step explanation:

1. There is a total of 16 outcomes

2. To get outcomes with a sum GREATER than 5, we have

2+4, 3+3, 3+4, 4+2, 4+3, 4+4 for a total of 6 outcomes.

3. To spin the same number twice, the possible outcomes are

1-1, 2-2, 3-3, 4-4 for a total of 4 outcomes.

Answer:

70 cm

Step-by-step explanation:

42^2 + 56^2 = c^2

1764 + 3136 = c^2

4900 = c^2

70 = c

Answer:

If you know the measure of one angle in a linear pair, you can find the measure of the other because the sum of the measure of the two angles is 180 degrees. If you know the measure of one angle in a pair of vertical angles, you can find the measure of the other because they are congruent.

Step-by-step explanation:

Complete question:

If side x has a length of 15 cm and side y has a length of 4 cm, then which value below could be the length of the third sides? A.20cm B.16cm C.22cm D.23cm

Answer:

B. 16 cm

Step-by-step explanation:

Given;

two lengths of the triangle as 15 cm and 4 cm

The length of the third side of the triangle must be less than the sum of the two given sides.

Length of third side < 15 cm + 4 cm

Length of third side < 19 cm

The only option less than 19 cm is B. 16 cm

Therefore, the correct option is B. 16 cm

Answer:

The maximum is at (1,3)

Step-by-step explanation:

The maximum value of the function is at the vertex

The maximum is at (1,3)

Max value of the given function = 3

Answer:

I would go with the third one (the one on the bottom left) since that seems like me lol

Answers:

===========================================

Explanations:

Answer:

[tex](x-1)^2+(y-6)^2=16[/tex]

Step-by-step explanation:

The equation of a circle is given by [tex](x-h)^2+(y-k)^2=r^2[/tex], where [tex](h,k)[/tex] is the center of the circle and [tex]r[/tex] is the radius of the circle.

From the diagram, we can find the following:

Thus, we have:

[tex](x-1)^2+(y-6)^2=4^2,\\\boxed{(x-1)^2+(y-6)^2=16}[/tex]

Answer:

(x-1)^2 + (y-6)^2 = 16

Step-by-step explanation:

center = (1,6)

radius = 4

equation of a circle (x-h)^2+(y-k)^2=r^2

(x-1)^2 + (y-6)^2 = 16

Answer:

d=2r

C=2πr

A=πr2

Step-by-step explanation:

that's the answers

Answer:

if r=10ft then diameter will be 20ft and circumference=4πr, c=4*3.14*10ft= 125.6ft &area= πr^2=3.14*100=314ft.

Answer:

measure of angle FJH = 53

Step-by-step explanation:

inscribed angle is half the intercepted arc

Consider the angles are = 60,2x,3x

As we know the sum of the interior angle of a triangle is 180

60+2x+3x= 180

5x= 120

x= 24°

Angles are 2x= 2(24)= 48°

and 3x= 72°

The measure of smaller angle is 48°

Answer:

B. 6^6

Step-by-step explanation:

the fraction can be flipped to get rid of the negative exponents. this leaves you with 6^8/6^6 which is equal to 6^2. if you multiply that by 6^4 you can add the exponent values together. So you get 6^6

Answer:

6^6 (Six to the power of six)

Step-by-step explanation:

Step one: Since you are using the power over a power rule, when it comes to dividing an exponent, it gets subtracted by the one below, so that results in 6^2

Step 2: Another power rule is that when you are multiplying exponents, you are actually adding exponents, so it would end up being 6^6

If you don't believe me, use a calculator called

Desmos Calculator (Search it up)

Hopefully this helps dude

Answer:

Step-by-step explanation:

x^2+14x+45=0

x^2+(9+5)x+45=0

x^2+9x+5x+45

x(x+9)+5(x+9)=0

(x+9)(x+5)=0

either x+9=0                           Or,x+5=0

x+9=0

x=0-9

x=-9

x+5=0

x=0-5

x=-5

therefore x=-9,-5

Answer:

it was is face than surface I am 7th grade and doing the problem for class.

Step-by-step explanation:

If I am to late I am so sorry but for the next person that needs it.

(ﾉ◕ヮ◕)ﾉ*:･you can do it✧

For bases of solid figures, a lateral face is to a polygon what a lateral surface is to a circle.

The base of a solid figure is one of its faces that has been distinguished from the others in some way. The solid figure is usually oriented so that the base is situated at the bottom.

A pyramid is a three-dimensional figure with only one base. The base can be any polygon. The other faces are triangles. A pyramid is named according to the shape of its base.

Learn more about solid figures here: brainly.com/question/15998356

#SPJ2

Answer:

Step-by-step explanation:

[tex]\sqrt{(-3-4)^2+(-7-3)^2[/tex]

[tex]\sqrt{(-7)^2+(-10)^2[/tex]

[tex]\sqrt{49+100[/tex]

[tex]\sqrt{149[/tex]

Answer:

1 to 25 students require (at least) 2 chaperones. ... 51 to 75 students require (at least) 6 chaperones.

PLEASE MAKE ME BRAINLIEST ANSWER

Step-by-step explanation:

Answer:

2,5

Step-by-step explanation:

2.5+3.0+3.5+0.0= 9

9:4=   2.5

Answer:

Step-by-step explanation:

since for the bottom one. You found that 150 degrees for the obtuse angle and 30 degrees for the acute angle. So if you add those up you get 180. But there’s an opposite side so whatever is that side, you write for the other one I’m guessing

Answer:

D

Step-by-step explanation:

for example point (2,0) is one of the solutions.

=> x + 2y <4

2+ 2(0) = 2 => 2< 4 (true)

=> 3x – y > 2

3(2)-0= 6 => 6>2 (true)

so, the option D is the correct one

The solution to the following system of inequalities is option D.

There exist two inequalities drawn on a graph.

x + 2y ≤ 4 .............(1)

3x - y ≤ 2 .............(2)

Here solution set of the inequality (1) will be described by the shaded area below the solid line (in blue) characterized by "x + 2y = 4".

⇒ x + 2y < 4

⇒ x + 2y = 4

⇒ 2+ 2(0) = 2

⇒ 2< 4 (true)

(Line x + 2y = 4 will have the slope slanting down and y-intercept as 2)

Second inequality will designate the shaded area on the left of the solid red line characterized by "3x - y ≤ 2".

⇒ 3x – y > 2

⇒ 3(2)-0= 6

⇒ 6>2 (true)

(Line 3x - y = 2 will have the slope upwards and y-intercept as -2)

The solution area to these inequalities will be the common area shaded in green.

Therefore, the correct answer is option D.

To learn more about system of inequalities

https://brainly.com/question/17085147

#SPJ2

The value of 6P6 is 720

The expression is given as:

6P6

This is calculated using:

[tex]^nP_r = \frac{n!}{(n - r)!}[/tex]

So, we have:

[tex]^6P_6 = \frac{6!}{(6 - 6)!}[/tex]

Evaluate the difference

[tex]^6P_6 = \frac{6!}{0!}[/tex]

As a general rule;

0! = 1

So, we have:

[tex]^6P_6 = 6!\\[/tex]

Expand

[tex]^6P_6 = 6 * 5 * 4 * 3 * 2 * 1[/tex]

Evaluate

[tex]^6P_6 = 720[/tex]

Hence, the value of 6P6 is 720

Read more about permutation at:

https://brainly.com/question/11732255

#SPJ1

Answer:

See the image below for the answer:)

Step-by-step explanation:

the answer for this question is 249,842

Answer:

-13/5

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Remark

The largest angle is going to be opposite the longest side. Use the Cosine Law to find the angle.

Equation

a^2 = b^2 + c^2 - 2*b*c * cos(A) and you are solving for A

Givens

a = 24

b = 21

c = 7

Solution

24^2 = 21^2 + 7^2 - 2*21 * 7 * cos(A)

576 = 441 + 49 - 294 * cos(A)

576 = 490 - 294 * cos(A)

I can see by looking at it that the angle is obtuse and the triangle is scalene.

576 - 490 = - 294 * cos(A)

86 = - 294 * cos(A)

86/-294 = cos(A)

- 0.2925 = cos(A)

A = cos-1(-0.2925)

A = 107 degrees

I just noticed that you did not have to go through all that. Sorry.

Answer

Just look at the givens. The side lengths are all different. The lengths all are larger than the two remaining lengths so D (not a triangle) is not correct.

No sides are equal, the the triangle is neither isosceles or equilateral. Both B and C are wrong.

The answer is A