If the ratio of two supplementary angles is 10 to 47, calculate the measure of the larger of the two angles.

Answer:

The answer is below

Step-by-step explanation:

Given that:

The radius of the circle (r) = 5 units

The central angle (θ) = 25π

A sector of a circle is the portion of a circle made up of two of its radii and an arc. The area of a sector that subtends with a central angle (θ) and a radius (r) is given by the formula:

[tex]Area\ of\ sector=\frac{\theta}{360} *\pi r^2[/tex]

Substituting the radius of the circle and the central angle:

[tex]Area\ of\ sector=\frac{\theta}{360} *\pi r^2\\\\Area\ of\ sector=\frac{25\pi}{360} *\pi (5)^2\\\\Area\ of\ sector=\frac{125\pi^2}{72}[/tex]

Answer:

Jeannette's ticket was less than the original pice by 30%

Step-by-step explanation:

original price = $75

percentage discount = 20% of original price = 20% of $75

discounted price = [tex]\frac{20}{100} \times\ 75\ =\ 15[/tex]

discounted price = $15

website service fee = 10% of original price

website service fee = [tex]\frac{10}{100}\times 75 = \$7.5[/tex]

New discounted price = discount price + website service fee

= 15 + 7.5 = $22.5

Next, let us calculate what percentage of the original price that will give the new discount price.

Let the percentage of the original price = x%

x% of 75 = $22.5

[tex]\frac{x}{100} \times\ 75\ = 22.5\\\\\frac{75x}{100} = 22.5\\\\75x = 2250\\\\x = \frac{2250}{75} \\\\x = 30[/tex]

Therefore, Jeannette's ticket was less than the original pice by 30%

Answer:

Amy types at a rate of 50 words per minute

Step-by-step explanation:

In this question, we are interested in calculating the rate at which April is typing.

From the question, we can deduce that she typed a 5 page report, with each page having a total of 500 words.

Now, if each page has 500 words, the total number of words in all of the pages will be 5 * 500 = 2,500 words

Now, from here, we can see that 2,500 words were typed in 50 minutes.

The number of words per minute will be ;

Total number of words/Time taken = 2500 words/50 minutes

That will give a value of 50 words per minute

9514 1404 393

Answer:

  (B)  Negative

Step-by-step explanation:

You can try an example:

  c = 1, d = -1

  c/d = 1/-1 = -1 . . . . negative

_____

Additional comment

The sign of the result of multiplication and/or division of any number of factors will be negative if there are an odd number of minus signs involved. It will be positive if there are an even number of minus signs involved.

Answer:

Ben needs to get a 99% on his second test

Step-by-step explanation:

The average is the sum of both test scores, divided by the total number of test scores (2).

Let x by the grade Ben must receive on his second test.

(89 + x)/2 = 94

Multiply by 2 on both sides

89 + x = 188

Subtract 89 on both sides

x = 99

Check work:

(89 + 99)/2 = 188/2 = 99

Answer: 99

Concept:

Here, we need to know the idea of the average value.

In mathematics, average refers to the sum of a group of values divided by n, where n is the number of values in the group.

Average = Sum of value / number of values

Solve:

Given information

Scoring on first test = 89

Scoring on second test = x

Number of tests = 2

Average = 94

Given expression

Average = Sum of value / number of values

Substitute values into the expression

94 = (89 + x) / 2

Multiply 2 on both sides

94 × 2 = (89 + x) / 2 × 2

188 = 89 + x

Subtract 89 on both sides

188 - 89 = 89 + x - 89

[tex]\boxed{x=99}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

10 x 3^2

= 10 x 9

= 90

Answer:

2

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

we move the decimal point 4 times to the right

1st time

32.2

2nd time

322

3rd time

3220

4th time

32,200

Answer:

No

Step-by-step explanation:

3.22 x 10 = 32.2

32.3 to the fourth power = 107.50

107.50 < 32,200

Therefore it is not equal to 32,200

Answer:

p = - [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Given

p = [tex]\frac{x^2-y^2}{x^2+xy}[/tex] ( factorise numerator and denominator )

x² - y² ← is a difference of squares and factors as (x - y)(x + y)

x² + xy ← factor out x from each term

= x(x + y) , thus

p = [tex]\frac{(x-y)(x+y)}{x(x+y)}[/tex] ← cancel (x + y) on numerator/ denominator

   = [tex]\frac{x-y}{x}[/tex] ← substitute x = - 4, y = - 6

   = [tex]\frac{-4-(-6)}{-4}[/tex]

   = [tex]\frac{-4+6}{-4}[/tex]

    = [tex]\frac{2}{-4}[/tex] = - [tex]\frac{1}{2}[/tex]

Answer:

D. 2,-1

Step-by-step explanation:

When a line is reflected by y=x, the x and y switch.

Answer:

Hello,

Step-by-step explanation:

f(x)=x+3 if -3≤x≤-1

(the line is passing trough (-3,0) and (-1,2) ==> y-0=(x+3)((2-0)/(-1+3) ==> y=x+3

f(x)=5 if -1≤x≤1

Answer:

1471.15

Step-by-step explanation:

Answer:

1 1/4

Step-by-step explanation:

2 3/4 - 1 1/2

3 3/4 - 1 2/4

1 1/4

Answer:

15u = 135

Divide both sides by 15

u = 135/15 = 9

U is equal to 9

Hope this helps!

[tex]15 \times 4 = 135 \\ divide \: both \: sides \: of \: equcation \\ by \: 15 \\ \frac{15u}{15} = \frac{135}{15} \\ u = \frac{135}{15} \\ u = 9[/tex]

Answer:

137 votes

Step-by-step explanation:

considering an election with 681 votes and 5 candidates up for the election

dividing the votes among'st 5 candidates

= 681 / 5 = 136.2  hence the least number of first-place votes needed by a candidate using the plurality method  would be = 137 votes

136.2 + 136.2 + 136.2 + 136.2 + 136.2 = 681 ( dividing the votes equally )

136 + 136 + 136 + 136+136 = 680

hence the remaining vote = 681 - 680 = 1

least first-place vote = 136 + 1 = 137 votes

Answer:

2.07648468018

Step-by-step explanation:

Answer:

Step-by-step explanation:

sin of angle x is the trig ratio sine of x.

sin-1 x is the angle whose sine is x.

sin-1 x can also be written as arcsin x.

Answer:

The number of years needed to repay the loan is 11.47 years or 11 years.

Step-by-step explanation:

The loan amount, Present value =  $14000

Annual repayment amount (annuity) = $1800

Interest rate = 7% per annum.

Now we have to find the number of years consumed to repay the loan amount. Below is the calculation.

Present value = (Annuity[1-(1+r)^-n] )/ r

14000 = (1800 × [1- (1+ 0.07 )^-n] )/ 0.07

14000 × 0.07 = 1800 × [1- (1+ 0.07 )^-n]

980 = 1800 × [1- (1+ 0.07 )^-n]

0.54 = [1- (1+ 0.07 )^-n]

n = 11.47  or 11  years.

Answer:

The answer is

Step-by-step explanation:

To simplify , factorize

x² - 4x + 4 and x² - 4

For x² - 4x + 4

Write - 4x as a difference

x² - 2x - 2x + 4

x( x - 2) - 2(x - 2)

(x - 2)(x - 2)

For x² - 4

use the formula

a² - b² = ( a+b)( a - b)

That's

x² - 4 = (x + 2)(x - 2)

So now we have

Change the division sign to multiplication sign and reverse the second fraction

That's

Simplify

We have

Reduce the expression with x + 2

That's

Multiply the fractions

We have the final answer as

Hope this helps you

x/2 = -7

=> x = -7 × 2

=> x = -14

Answer:

x=-14

Step-by-step explanation:

[tex]\frac{x}{2} =-7\\\\x=-14\\[/tex]

Answer:

charge = 18796 * 0.09$

=1691.64$

Step-by-step explanation:

Answer:

18796 * 0.09$

=1691.64$  

Step-by-step explanation:

Answer:

it's true

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

The co-ordinates of the smaller and larger triangles are 4,5 3,2 & 6,3 and 12,15 9,6 18,9

To find out dilation factor,

Co-ordinates of smaller triangles* dilation factor=co-ordinates of

larger triangles(or use (kx,ky) where k is the dilation factor and x and y are the co-ordinates)

(4,5) (3,2) (6,3)k=(12,15) (9,6) (18,9)

Equate and solve,

k=(12,15) (9,6) (18,9)/(4,5) (3,2) (6,3)[Informal]

k=3

Answer:

1) Please find attached the graph sowing the line of symmetry

The symmetry line is a vertical line passing through (2, -9)

2) The x-intercept are (5, 0) and (-1, 0)

The y-intercept is (0, -5)

The vertex is (2, -9)

Step-by-step explanation:

The given function is;

f(x) = x² - 4·x - 5

The data values are generated as follows;

x,          f(x)

-1,         0

-0.8,    -1.16

-0.6,    -2.24

-0.4,    -3.24

-0.2,    -4.16

0,         -5

0.2,      -5.76

0.4,      -6.44

0.6,     -7.04

0.8,     -7.56

1,         -8

1.2,      -8.36

1.4,      -8.64

1.6,      -8.84

1.8,      -8.96

2,        -9

2.2,     -8.96

2.4,      -8.84

2.6,     -8.64

2.8,     -8.36

3,        -8

3.2,     -7.56

3.4,     -7.04

3.6,     6.44

3.8,     -5.76

4,        -5

4.2,      -4.16

4.4,     -3.24

4.6,     -2.24

4.8,      -1.16

5,           0

The minimum is found from differentiating the function, f(x), with respect to x and looking for the zeros of the result  as follows;

f'(x) = 2·x -4

f'(x) = 0 = 2·x -4

x = 2

The y-coordinate gives; f(2) = 2² - 4×2 - 5 = -9

Therefore, the symmetry line is a vertical line passing through (2, -9)

The x-intercept is the point at which y = 0, therefore, from f(x) = x² - 4·x - 5, we have;

0 = x² - 4·x - 5 = (x - 5)·(x + 1)  

Therefore, the x-intercept are x = 5 or -1

The x-intercept are (5, 0) and (-1, 0)

The y-intercept occur at the point where the x value = 0, therefore, we have;

The y-intercept occur at y = f(0) = 0² - 4·0 - 5 = -5

The y-intercept is (0, -5)

Re-writing the  equation in vertex form y = a(x - h)² + k gives;

f(x) = x² - 4·x - 5 = 1·(x - 2)² - 9

Therefore, the vertex is (2, -9)

Answer:

see attached graph

The x-intercept are (5, 0) and (-1, 0)

The y-intercept is (0, -5)

The vertex is (2, -9)

Step-by-step explanation:

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

This is made slightly more difficult by the fact that the given polynomials are not in order of decreasing powers of x. So, you need to be careful what you're adding, to make sure the terms are "like".

__

Add: (-2x² +3x +4) +(x² -4x -5) = (-2+1)x² +(3-4)x +(4-5) = -x² -x -1

Opp: -(3x² -x +1) = 3x² +x -1

Sub: (x² +3x -4) -(-2x² +4x -3) = (1-(-2))x² +(3-4)x +(-4-(-3)) = 3x² -x -1

Hi there! :)

Answer:

[tex]\huge\boxed{C}[/tex]

To simplify the process, convert each given weight into standard notation:

Lion:

[tex]1 * 10^{5} = 1 * 100000 = 100,000 g[/tex]

Ant:

[tex]2 * 10^{-3} = 2* 0.001 = 0.002[/tex]

Divide the ant's weight from the lion's weight:

[tex]100000 / 0.002 = 50,000,000[/tex]

Convert to scientific notation: (use # of zeros to determine exponent)

[tex]50,000,000 = 5 * 10^{7}[/tex]

Therefore, the correct answer is C.

Answer:

Step-by-step explanation:

Distributive property of multiplication has to do with the multiplication of numbers by the sum of that number

say in our given example $2.05.

When we decide to multiply 3 property with $2 and $0.5 which when added together will still give  $2.05, we are using distributive property of multiplication.

Hence according to distributive property 3*$2.05 is the same as

3*$2 + 3*$0.5

Answer:

this is your test right pls study and answer