Find the radius r of the circle. Round your answer to the nearest tenth.

Answer:

3/4, 4/5, 2/3. 3/5, 2/3

Step-by-step explanation:

What is 4/8 + 1/4 simplified

4/8 + 1/4

4/8 + (1/4)*2/2 (find the common denominator in our case it is 8)

4/8 + 2/8

6/8

or, 3/4 (I simplified the fraction to lowest term)

what is 3/5 + 2/10 simplified  

3/5 + 2/10

3/5 + 1/5

4/5

what is 1/3 + 3/9 simplified

1/3 + 3/9

1/3 + 1/3

2/3

what is 2/10 +2/5 simplified

2/10 + 2/5

1/5 + 2/5

3/5

what is 3/6 + 2/12 simplified

3/6 + 2/12

3/6 + 1/6

4/6

2/3

Exact Answer:     x = 16/3

Approximate Answer:      x = 5.333

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

Work Shown:

base = 3x-1

height = x

area of triangle = (base*height)/2

40 = x*(3x-1)/2

40*2 = 3x^2 - x

80 = 3x^2 - x

0 = 3x^2 - x - 80

3x^2 - x - 80 = 0

Now apply the quadratic formula

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-1)\pm\sqrt{(-1)^2-4(3)(-80)}}{2(3)}\\\\x = \frac{1\pm\sqrt{961}}{6}\\\\x = \frac{1\pm31}{6}\\\\x = \frac{1+31}{6} \ \text{ or } \ x = \frac{1-31}{6}\\\\x = \frac{32}{6} \ \text{ or } \ x = \frac{-30}{6}\\\\x = \frac{16}{3} \ \text{ or } \ x = -5\\\\x \approx 5.333 \ \text{ or } \ x = -5\\\\[/tex]

A negative height doesn't make sense, so we ignore x = -5

The only solution is x = 16/3 which approximates to x = 5.333

Answer:

Option. A

Step-by-step explanation:

Have a great day!

Answer: A

Step-by-step explanation: there's 8 spaces on the spinner

From 12 different letters, 3326400 arrangements can be made using the letters in the word CARELESSNESS.

When the order of the arrangements counts, a permutation is a mathematical approach that establishes the total number of alternative arrangements in a collection. Choosing only a few items from a collection of options in a specific sequence is a common task in arithmetic problems.

Among the 12 letters in CARELESSNESS,

there are 4 S’s, 3 E’s, and 1 each of C, A, R, L, N.

There are 12! = 479,001,600 arrangements (permutations) of the 12 letters,

most of which are identical because of repeated letters.

In order that each permutation be distinct, repeat letters have to be accounted for.

4 S’s be in 4! = 24 ways,

3 E’s, in 3! = 6 ways.

And 1! = 1 way.

Distinct permutations as requested,

thus = 12!/(3!)(4!)(1!)

       = 3326400.

Therefore, 3326400  different 12-letter arrangements can be made using the letters in the word CARELESSNESS.

To learn more about the permutation;

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Answer:

A

Step-by-step explanation:

Apply quotient power rule

[tex]a {}^{ \frac{1}{3} } - \frac{1}{4} [/tex]

[tex] {a}^{ \frac{1}{12} } [/tex]

Answer:

y=2x+2

Step-by-step explanation:

Answer:

[tex]11^2 *11^10 \\13^6 *13^4\\14^9 * 14^10\\2^4*2^4\\7^8*7^6\\3^3*3^9[/tex]

Step-by-step explanation:

Please Mark Brainliest for helping

Answer:

3 hour

Step-by-step explanation:

23.30×4=93.2. 18.10×5=90.5 93.2-90.5=2.7 ans 3 hour than anne

Answer:

14%

Step-by-step explanation:

[tex]\frac{70,000}{500,000} :\frac{y}{100}[/tex]

y × 500,000 = 100 × 70,000

500,000y = 7,000,000

500,000y ÷ 500,000 = 7,000,000 ÷ 500,000

y = 14

Answer:

c=-18 d=2

Step-by-step explanation:

[ 6 8 -11 15 ]-[c+2 3 -5 d-4 ]=[ 22 5 -6 17]

The equation tells that when the two matrices are subtracted we get the resultant matrix.

Each element of the first matrix corresponds to each element of the second matrix

From above

6- (c+2)= 22

6- c-2= 22

4-c= 22

-c= 22-4

-c= 18

c= -18

And

15-( d-4)= 17

15- d+4= 17

19-d= 17

-d= 17-19

-d= -2

d= 2

Answer:

D

Step-by-step explanation:

c= -18

d= 2

Answer:

D

Step-by-step explanation:

Using the tangent ratio in the right triangle

tanθ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{7}{4}[/tex] , then

θ = [tex]tan^{-1}[/tex] ([tex]\frac{7}{4}[/tex] ) ≈ 60° ( to the nearest degree )

Answer:

d. 3,200

Step-by-step explanation:

If the total population consists of 32,000 people, a sample of the population selected will consist of a number equal or less than 32,000 people.

From the given options, the only option that matches the above explanation is "D" which is less than 32,000 people.

Therefore, the correct answer choice is D. 3,200.

Answer:

Area = 28.43 cm²

Step-by-step explanation:

area of square = 11.5 x 11.5 = 132.25 cm²

area of circle = πr² = (3.14)(5.75²) = 103.82 cm²

Area= 132.25 - 103.82 = 28.43 cm²

Answer:

28.38 cm²

Step-by-step explanation:

Area of square

a = 11.5^2

a = 132.25

The corners are 4 quarter circle

which makes a complte circle

a = πr^2

a = π(11.5/2)^2

a = 103.8689071093

Area shaded

a = 132.25 - 103.8689071093

a = 28.3810928907

Rounded

a = 28.38 cm²

Answer:

12

Step-by-step explanation:

Answer:

C 16/33

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Answer:

113.1 in

Step-by-step explanation:

C = πd

d = 36

C = 36π = 113.1 in

Answer:

= 5^-8 . 5^-10

= 5^(-8 ) + (-10)

=5^-18

Answer:

5^-18

Step-by-step explanation:

[tex](5^{-8})(5^{-10}) = 5^{-8-10} = 5^{-18}[/tex]

The required equation of the hyperbola is expressed as

[tex]\frac{x^2}{10}- \frac{y^2}{15}=1 \\[/tex]

The standard form for calculating the equation of a parabola along the x-axis is expressed as:

[tex]\frac{(x-k)^2}{a^2}-\frac{(y-h)^2}{b^2} = 1 \ ............. 1[/tex] where:

(h, k) is the center

(k±c, h) are the foci

[tex]x=h\pm\frac{a^2}{c}[/tex] is the directrix

From the question given, we can see that foci = (±5, 0)

k±c, h = ±5, 0

k = 0

h = 0

c = 5

From the directrix,

[tex]x=h\pm\frac{a^2}{c}\\x =0\pm\frac{a^2}{5}\\\pm2 = \pm\frac{a^2}{5}\\a^2 = 10\\[/tex]

Also, we need to know that;

a²+b² = c²

10 + b² = 5²

b² = 25 - 10

b² = 15

Substituting the gotten values into the equation of a hyperbola;

[tex]\frac{(x-0)^2}{10}- \frac{(y-0)^2}{15} =1\\\frac{x^2}{10}- \frac{y^2}{15} =1\\[/tex]

This gives the required equation of the hyperbola

Learn more on the equation of hyperbola here: https://brainly.com/question/20409089

Answer:

The answers are between C and D

Step-by-step explanation:

It can't be A or B because they create a horizontal hyperbola, when the directrices are vertical.

Answer:

a=-2

Step-by-step explanation:

-29=6a-17

add 17 on both sides

-12=6a

divide by 6 on both sides

-2=a

a=-2

Answer:

D

Step-by-step explanation:

i hope this helped

:))))))

x=1

Step-by-step explanation:

f(x)=0 is basically the x-axis. the line passes through 3 points on the x-axis, the only correct pint listed is x=1. :)

Answer:

AB = 7

Step-by-step explanation:

The polygon pictured is a hexagon, which means that it has 6 equal side lengths. The perimeter is 42. AB is the length of one side.

Perimeter = 6 x length of one side

If you plug everything you know in the equation, you would get...

42 = 6 x length of one side

42 ÷ 6 = 7

So, 7 is the length of AB, since in a hexagon, all sides are the same length.

The length of side AB  is 7.

A regular polygon is a closed shape that has straight sides of equal length and interior angles of equal measure.

This means that all of the sides and angles of a regular polygon are congruent (i.e., have the same size).

We have,

The given polygon is a hexagon since it has 6 faces.

Now,

The six faces are equal in length.

So,

6 faces length = 42

Now,

Each face = x

And,

6x = 42

x = 42/6

x = 7

Thus,

The length of AB  is 7.

Learn more about regular polygons here:

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Answer:

0%, there is no chance you can roll a 7 on a number cube with 6 sides.

If you meant a 5 and then a 6, or 2 rolls subsequently, it would be 1/36.

Step-by-step explanation:

1/6*1/6=1/36

Answer:

B - 18

Step-by-step explanation:

149 total minutes minus 5 for the introductions leaves 144.

144/5=18

Answer:

75.52

Step-by-step explanation:

All you have to do is second cos, or cos^-1(2/8), because of sohcahtoa, adjacent hypotenuse, so it is cos.

Answer:

67% (rounded)

Step-by-step explanation:

Since there is 1-6,

There is 3,4,5,6 which is 4/6 chance being above 2.

2/3 = 66.6%  

Answer:1/36

Step-by-step explanation: