whats the radius for the circle? x^2+2x+y^2+4y-6=0

Answer:

6.6

Step-by-step explanation:

Delta math...if you are rounding to the nearest tenth!

The length of other leg of a right triangle is 6.633 cm

A triangle in which one of the interior angles is 90° is called a right triangle. The longest side of the right triangle, which is also the side opposite the right angle, is the hypotenuse and the two arms of the right angle are the height and the base.

To find the length of hypotenuse the formula is c² =a² + b² , where c is hypotenuse and a, b are sides of triangle

From the question hypotenuse(c)= 12 cm and one of its leg(b) =10cm

12² =a² +10²

144= a² + 100

44= a²

a= 6.633

Thus the length of other leg of a right triangle is 6.633 cm

To know more about right triangle click here

https://brainly.com/question/6322314?

#SPJ2

Answer:

The answer is B, 396 square units.

Step-by-step explanation:

We can separate the figure into five individual polygons and sum up their areas to find the total surface area of the figure.

The base of the figure is 8*12 = 96.

The rectangle at the back of the figure is 8*9 = 72.

To find the area of the rectangle on top, we need to first find second side length. To do this, we use the pythagorean theorem (a^2 + b^2 = c^2) on the right triangle, so 9^2 + 12^2 = c^2 --> 225 = c^2 --> c = 15. Next, we find the area of the rectangle which is 8*15 = 120.

The area of the triangle to the side is 1/2*12*9 (9 is height because it's a right triangle) = 54, so the area of both triangles is 54*2 = 108.

Now we sum up the areas: 96 + 72 + 120 + 108 = 396

Answer:

x = 27 and m<A = 49 degrees

Step-by-step explanation:

The sum of the interior angles of a triangle is 180 degrees

3x-17+x+40+2x-5 = 180

6x + 18 = 180

6x = 162

x = 27

<A = 2x - 5

< A = 2(27) - 5

<A = 49 degrees

There are 15 cards with numbers from 1 to 15 written on them. Event A is choosing a multiple of 5, which includes the numbers 5 and 10. Event B is choosing an even number, which includes the numbers 2, 4, 6, 8, 10, 12, and 14.

First, we need to determine the number of cards that correspond to each event:

Event A: Multiples of 5 in the range 1-15 are 5 and 10. So, there are 2 cards that correspond to event A.

Event B: Even numbers in the range 1-15 are 2, 4, 6, 8, 10, 12, and 14. So, there are 7 cards that correspond to event B.

To find the probability of choosing a multiple of 5 or an even number, we need to add the probabilities of the two events and subtract the probability of their intersection:

P(A or B) = P(A) + P(B) - P(A and B)

The probability of event A is 2/15, the probability of event B is 7/15. To find the probability of their intersection, we need to determine how many cards satisfy both events. The only card that satisfies both events is 10. Therefore, P(A and B) = 1/15.

Plugging these values into the formula, we get:

P(A or B) = 2/15 + 7/15 - 1/15 = 8/15

Therefore, the probability of choosing a multiple of 5 or an even number is 8/15.

To learn more about probability : brainly.com/question/32004014

#SPJ11

Answer:

20

Step-by-step explanation:

a c will have the same angle as b d

Answer:

Step-by-step explanation:

3/4 + 3/4 + 3/4 + 3/4 = 12/4 = 3. She will walk 3 miles in an hour.

The distance that Anusha covered in one hour is 3 miles

If Anusha is walking on a hiking trail at a rate of three-fourths miles in One-fourth hour, this is expressed as:

3/4 miles = 1/4 hours

We need to get the rate of Aisha that is the distance traveled in an hour

x = 1 hour

Divide both expressions

3/4x = 1/4

Cross multiply

4x = 3 * 4

4x = 12

x = 12/4

x = 3

Hence the distance that Anusha covered in one hour is 3 miles

Learn more here: https://brainly.com/question/23729577

27.32 x 48.97

multiplying this will give 1337.8604

The second ladder touches the wall approximately 11 feet higher than the shorter ladder, or equivalently, around 8 feet 8 inches higher.

Let's denote the height at which the second ladder touches the wall as h. We can set up a proportion based on the similar right triangles formed by the ladders and the building:

(6 6 feet) / (h) = (9 9 feet) / (5 5 feet 9 9 inches + h)

To solve for h, we can cross-multiply and solve the resulting equation:

(6 6 feet) * (5 5 feet 9 9 inches + h) = (9 9 feet) * (h)

Converting the measurements to inches:

(66 inches) * (66 inches + h) = (99 inches) * (h)

Expanding and rearranging the equation:

4356 + 66h = 99h

33h = 4356

Solving for h:

h = 4356 / 33 = 132 inches

Converting back to feet and inches:

h ≈ 11 feet

Therefore, the second ladder touches the wall approximately 11 feet higher than the shorter ladder, or equivalently, around 8 feet 8 inches higher.

Learn more about proportion here:

https://brainly.com/question/31548894

#SPJ11

When the volume of the snowball is 36π cm^3, the rate at which the radius is changing is -(10/(9π)) cm/min.

We are given that the snowball is melting at a constant rate of 10 cm^3/min. We need to find how fast the radius is changing when the volume of the ball becomes 36π cm^3.

The volume V of a sphere with radius r is given by the formula V = (4/3)πr^3.

To solve this problem, we can use the chain rule from calculus. The chain rule states that if y = f(g(x)), then dy/dx = f'(g(x)) * g'(x).

Let's define the variables:

V = volume of the sphere (changing with time)

r = radius of the sphere (changing with time)

We are given dV/dt = -10 cm^3/min (negative sign indicates decreasing volume).

We need to find dr/dt, the rate at which the radius is changing when the volume is 36π cm^3.

First, let's differentiate the volume equation with respect to time t using the chain rule:

dV/dt = (dV/dr) * (dr/dt)

Since V = (4/3)πr^3, we can differentiate this equation with respect to r:

dV/dr = 4πr^2

Now, substitute the given values and solve for dr/dt:

-10 = (4πr^2) * (dr/dt)

We are given that V = 36π cm^3, so we can substitute V = 36π and solve for r:

36π = (4/3)πr^3

Divide both sides by (4/3)π:

r^3 = (27/4)

Take the cube root of both sides:

r = (3/2)

Now, substitute the values of r and dV/dr into the equation:

-10 = (4π(3/2)^2) * (dr/dt)

Simplifying:

-10 = (4π(9/4)) * (dr/dt)

-10 = 9π * (dr/dt)

Divide both sides by 9π:

(dr/dt) = -10/(9π)

Learn more about snowball here:

https://brainly.com/question/14926567

#SPJ11

The Expected value of M is 65

The Standard error of M is 5

Given,

The sample score, n = 9

The Standard deviation, σ = 15

Population mean, μ = 65

Then,

The Expected value of M = μ

∴ The Expected value of M = 65

The Standard error of M = σ/\(\sqrt{n}\)

                                          \(=\frac{15}{\sqrt{9} } \\\\=\frac{15}{3} \\=5\)

Learn more about Standard error and Expected value here: https://brainly.com/question/12792959

#SPJ4

The equation of the transformed function is g(x) = -x² - 2

From the question, we have the following function that can be used in our computation:

f(x) = x² -- parent root function

When the graph is examined (see attachment), we have the transformation to be

g(x) = reflect f(x) across the x-axis and a downward shift of 2 units.

Mathematically, this can be represented as

g(x) = -f(x) - 2

Substitute the known values in the above equation, so, we have the following representation

g(x) = -x² - 2

Hence, the transformed function is g(x) = -x² - 2

Read more about transformation at

brainly.com/question/27224272

#SPJ1

Answer:

w = (S/2 - lh) ÷ (l + h)

Step-by-step explanation:

S = 2(lw + lh + wh)

S/2 = lw + lh + wh

S/2 - lh = lw + wh

S/2 - lh = w(l + h)

(S/2 - lh) ÷ (l + h) = w

w = (S/2 - lh) ÷ (l + h)

Any piece of luggage must have a length, width, and height combined that is less than or equal to 150 cm. A traveler requests to take a package with the maximum permitted volume. if the length and width are to be equal, then the dimensions would be 48*96*72

Any piece of luggage must have a length, breadth, and height combined that is 216 cm or less.

L+W+H=216 (because we want the max volume, we may ignore the "less than part" and set them equal) (since we want the max volume, we can ignore the "less than part" and set them equal)

L = W if the length and width are equal.

Let's construct this new equation by swapping L for W.

Arrange H to the left so that H=216-2W when 2W+H = 216

Consequently, what is volume V=L*W*H=W=W2*(216-2W) =216W2-2W3 div./dW=432W-6W?

2\s432W-6W^2=0

72w-w2=0 divided by 6 on both sides.

W = 72 L H = 72 cm

L=2W is the only item that has altered.

Given that L+W+H=216 and that V=L*W*H=2W*W*(216-3W) =432W2-6W, 3W+H=216

864W-18W2 x 3 V prime

Set V prime to 0, solve it by dividing both sides by 18, and you'll get W = 48. dimensions will be

48, 96, and 72 cm in width ,lenght and height

Learn more about dimensions here

https://brainly.com/question/28815550

#SPJ4

Answer:

4*6 is 24

its like 6 circles with 4 dots inside and you just count all the dots or it could be the other way around.

Answer:

12:4 ratio simplified is 3:1

Step-by-step explanation:

Answer: It should be 2 x 2 x 5 = 20cm

Step-by-step explanation: Formula- volume = length x width x height

I hope this helps:)

Answer:It would be..

Step-by-step explanation:

5 x 2 = 10, And then we multply the with the 10. 10 x 2 = 20,

The Answer is 20.

Answer:

x° = 50° 2x°= 100°

Step-by-step explanation:

sum of all angle of triangle = 180°  therefore

x° + 2x° + 30° =180°  

 3x° = 180° - 30°

3x = 150°

x = 50°

2x = 100

The answers to the questions involving trigonometry are: 90, BC/AB ÷ BC/AB = 1, g = 6.5, <I = 62 degrees, h= 13.8, 12.0, x = 6.8, x = 66.4, 160.6, The pole = 6.7

Trigonometric ratios are special measurements of a right triangle, defined as the ratios of the sides of a right-angled triangle.  There are three common trigonometric ratios: sine, cosine, and tangent

For page 3 question 3,

a) <A + <B = 90 since <C = right angle

b) SinA = BC/AB and CosB = BC/AB

The ratio of the two angles BC/AB ÷ BC/AB = 1

I notice that the ratio of sinA and cosB gives 1

b) The ratio of CosA and SinB will give

BC/AB ÷ BC/AB

= BC/AB * AB/BC = 1

For page 5 number 3

Tan28 = g/i

g/12.2 = tan28

cross multiplying to have

g = 12.2*tan28

g = 12.2 * 0.5317

g = 6.5

b) the angle I is given as 90-28 degrees

<I = 62 degrees

To find the side h we use the Pythagoras theorem

h² = (12.2)² + (6.5)²

h² = 148.84 +42.25

h²= 191.09

h=√191.09

h= 13.8

For page 6

1) Sin42 = x/18

x=18*sin42

x = 18*0.6691

x = 12.0

2) cos28 = 6/x

xcos28 = 6

x = 6/cos28

x [= 6/0.8829

x = 6.8

3)  Tan63 = x/34

x = 34*tan63

x= 34*1.9526

x = 66.4

4) Sin50 123/x

xsin50 = 123

x = 123/sin50

x = 123/0.7660

x =160.6

5)  Sin57 = P/8

Pole = 8sin57

the pole = 8*0.8387

The pole = 6.7

Learn more about trigonometrical ratios on https://brainly.com/question/23130410

#SPJ1

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Re-draw the given circe to show the radius

STEP 2: Explain the radius

A radius is a line drawn from the centre of a given circle to any part on the circumference. This line divides a circle into equal quarters as seen on the image. The radius divides the circle equally both vertically and horizontally.

STEP 3: Show the centre

Since the line of the radius goes from the centre, therefore the part identified below will be the centre

STEP 4: Get the coordinate of the centre

The coordinate of the centre will be the point on the x-axis as agianst the point on the y-axis.

Hence, the center of the given circle is:

There are 5 students who do both Geography and History. To answer this question, we need to use the principle of inclusion and exclusion.

This principle states that to find the total number of students who do both Geography and History, we need to add the number of students who do Geography and the number of students who do History, and then subtract the number of students who do both. Let's call the number of students who do both Geography and History "x". Then we can set up the following equation: 16 + 18 - x = total number of students. We know that the total number of students is 32, and we also know that 3 students do none of the subjects. So we can substitute these values into the equation and solve for "x": 16 + 18 - x = 32 - 3, 34 - x = 29, x = 5. Therefore, there are 5 students who do both Geography and History.

Learn more about inclusion from here:

https://brainly.com/question/30234045

#SPJ11

Answer:

2*5*(3+7)+11=111

Step-by-step explanation:

You can combine the numbers using operations like adding and multiplication.

I need to produce the 111. Since it's not an exact multiple of the other numbers, I make it as a sum. Thus 100+11=111. I used the 11.

Now I have to produce the 100 with the rest of the numbers.

I see a pair of numbers add up 10: 3+7=10

Thus I produce the other 10 by multiplying 2*5=10

Summarizing, the combination to make the result equal to 111 is

2*5*(3+7)+11=111

Answer:

6

Step-by-step explanation:

Answer:

9.9

Step-by-step explanation:

Multiply 0.0000099 by 10, 6 times.

9.9 x 10^-6

Answer:

9.9 x 10^-6

I hope that this helps, if you want an explanation lmk

Answer:

4000m

Step-by-step explanation:

km to m --> multiply by 1000

4km * 1000 = 4000m

\(x^{\circ}\) and \(66^{\circ}\) are supplementary angles, which add up to \(180^{\circ}\).

Therefore

\(x^{\circ}+66^{\circ}=180^{\circ}\\x^{\circ}=114^{\circ}\)

Answer: the answer to this is true

The probability that x equals 7 is 1/9. The 63 possible outcomes is equally likely, the probability of getting a sum of 7 is given by the ratio of favorable outcomes to total outcomes, which is 7/63.

To find the probability that the sum of three dice equals 7, we need to determine the number of outcomes that satisfy this condition.

There are several ways to achieve a sum of 7:

(1, 2, 4), (1, 3, 3), (2, 2, 3), (2, 3, 2), (3, 1, 3), (3, 2, 2), and (4, 1, 2).

Therefore, there are 7 possible outcomes that result in a sum of 7.

Since each of the 63 possible outcomes is equally likely, the probability of getting a sum of 7 is given by the ratio of favorable outcomes to total outcomes, which is 7/63.

This simplifies to 1/9.

Thus, the probability that x equals 7 is 1/9.

To know more about probability visit:-

https://brainly.com/question/31828911

#SPJ11