whats the area of 5 and 16

Answer:

[tex]r=\frac{5}{2}\sqrt{2}[/tex]

Step-by-step explanation:

Triangles And Circles

If a right triangle is inscribed in a circle (or the circle is circumscribed around the right triangle), then the hypotenuse of the triangle is the diameter of the circle.

The right triangle has both legs of known lengths, thus the hypotenuse (the diameter of the circle is):

[tex]d^2=5^2+5^2[/tex]

[tex]d^2=25+25=50[/tex]

[tex]d=\sqrt{50}[/tex]

Since 50=2*25:

[tex]d=5\sqrt{2}[/tex]

Thus the radius of the circle is:

[tex]r=\frac{d}{2}[/tex]

[tex]r=\frac{5\sqrt{2}}{2}[/tex]

[tex]\boxed{r=\frac{5}{2}\sqrt{2}}[/tex]

Answer:

Object A will have greater acceleration.

Step-by-step explanation:

Given that,

The mass of object A = 50 kg

The mass of object B = 75 kg

They were pushed with the same amount of force.

We know that, the force acting on an object is given by :

F = ma

Here F is same for both mass

[tex]m_1a_1=m_2a_2[/tex]

Mass and acceleration have inverse relation. It means the object whose mass is less will have greater acceleration. Hence, the acceleration is greater for object A.

Answer:

(5x-7)(x+1)

Step-by-step explanation:

Here, we want to factor the given polynomial

That would be;

5x^2-7x+5x-7

= 5x^2+5x-7x-7

= 5x(x + 1) -7(x + 1)

= (5x-7)(x+ 1)

the answer is 2 x 10^7 :D

quack quack quack (hopefully this helps)

Answer: 20,000,000 or 2 × 10^7

Step-by-step explanation:

(6 × 10²) ÷ (3 × 10^-5)

(6 × 100) ÷ (3 × 0.00001

)

600 ÷ 0.00003

20,000,000

or

2 × 10^7

Hope this helped!

Answer:

29%

Step-by-step explanation:

The probability that Laura does not win the prize is 0.9657

What is Probability?

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

The value of probability lies between 0 and 1

Given data ,

Let the probability that Laura wins be = P ( x )

So , the probability that Laura does not win is = 1 - P ( x )

Let the total number of raffle tickets to be sold is = 350 raffle tickets

The number of tickets Laura bought = 12 raffle tickets

Therefore , the probability that Laura wins the prize =
number of tickets Laura bought / total number of raffle tickets

The probability that Laura wins the prize P ( x ) = ( 12/350 )

Now ,

The probability that Laura does not win is = 1 - P ( x )

The probability that Laura does not win = 1 - ( 12/350 )

The probability that Laura does not win = ( 350 - 12 ) / 350

The probability that Laura does not win = 338 / 350

The probability that Laura does not win = 0.9657

Hence , The probability that Laura does not win the prize is 0.9657

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Answer/Step-by-step explanation:

Given two points on a line, (-4, 10) and (0, 2), the slope of the line is calculated as follows:

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Let,

[tex] (-4, 10) = (x_1, y_1) [/tex]

[tex] (0, 2) = (x_2, y_2) [/tex]

Plug in the values

[tex] slope (m) = \frac{2 - 10}{0 - (-4)} [/tex]

[tex] slope (m) = \frac{-8}{4} = -2 [/tex]

Slope = -2

The wrong formula was used. Slope is supposed to be change in y over change in x. Rather the difference of each coordinates was solved and divided by each other, which makes the whole calculation wrong.

Answer:

430,000 dollars will be spent on education.

Step-by-step explanation:

np

The age of John is 41 years.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

John is 5 years older than Samantha and Samantha is twice as old as Tim.

And, The sum of their ages is 95.

Now,

Let the age of Tim = x

Then, Age of Samantha = 2x

And, Age of John = 2x + 5

Since, The sum of their ages is 95.

So, We can formulate;

⇒ x + 2x + (2x + 5) = 95

⇒ 5x + 5 = 95

Subtract 5 both side, we get;

⇒ 5x + 5 - 5 = 95 - 5

⇒ 5x = 90

Divide by 5, we get;

⇒ x = 18

Thus, The age of John = 2x + 5

                                   = 2 × 18 + 5

                                   = 36 + 5

                                   = 41

Therefore, The age of John is 41 years.

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Answer:

Perimeter of the sector = (36 + 8π) cm.

Step-by-step explanation:

Formula to find the of an arc of the circle is,

Length of the arc = [tex]\frac{\theta}{360}(2\pi r)[/tex]

Here, θ = central angle formed by the arc

r = radius of the circle

Therefore, length of the arc given in the picture = [tex]\frac{80}{360}(2\pi) (18)[/tex]

                                                                                = 8π cm

Perimeter of the sector = Sum of all sides of the sector

                                       = Length of radius + length of the arc + length of radius

                                       = 18 + 8π + 18

                                       = (36 + 8π) cm

Perimeter of the sector is (36 + 8π) cm.

Given:

1,5,25,61.....

To find:

The following number.

Solution:

We can see a pattern in the given sequence.

[tex](-1)^2+(0)^2=1+0=1[/tex]

[tex](1)^2+(2)^2=1+4=5[/tex]

[tex](3)^2+(4)^2=9+16=25[/tex]

[tex](5)^2+(6)^2=25+36=61[/tex]

Using this pattern the next term is the sum of squares of 7 and 8.

[tex](7)^2+(8)^2=49+64=113[/tex]

Therefore, the next number is 113.

Answer:

the domain and range can be found by horizontal and vertical test

Step-by-step explanation:

6.B

7.D

8.A

9.C

Answer:

-23

Step-by-step explanation:

firstly u need to substitute a to 1/4 and b to 6

16(1/4) to the power of 2 - 4(6) equal to -23

Answer:

Relationship: [tex]y =2.92x+4.23[/tex]

They are not proportional

The value is $33.43

Step-by-step explanation:

Given:

[tex]x = years[/tex]

[tex]y = amount[/tex]

When he retired, the expression is:

[tex](x_1,y_1) = (0,4.23)[/tex]

and the rate (m) is:

[tex]m = 2.92[/tex]

Solving (a): The relationship between y and x

This can be solved using the following point-slope formula:

[tex]y - y_1=m(x-x_1)[/tex]

Substitute values for x1, y1 and m

[tex]y - 4.23=2.92(x-0)[/tex]

[tex]y - 4.23=2.92(x)[/tex]

Make y the subject

[tex]y =2.92(x)+4.23[/tex]

[tex]y =2.92x+4.23[/tex]

Solving (b): Are they proportional?

No, they are not

A proportional relationship is expressed as:

[tex]y = mx[/tex]

By comparing this to [tex]y =2.92x+4.23[/tex]; they have different format

Solving (c): Value in 2010?

First, we determine the value of x in 2010

2000; x = 0

2001; x = 1

---

--

-

2010; x = 10

Substitute 10 for x in [tex]y =2.92x+4.23[/tex]

[tex]y = 2.92*10+4.23[/tex]

[tex]y = 29.2+4.23[/tex]

[tex]y = 33.43[/tex]

Answer:

Coordinates of Q [tex](x_2,y_2) \:are\: \mathbf{(7,16)}[/tex]

Option D is correct option.

Step-by-step explanation:

We are given:

K is the midpoint of PQ

Coordinates of P = (-9,-4)

Coordinates of K = (-1,6)

We need to find coordinates of Q  [tex](x_2,y_2)[/tex]

We will use the formula of midpoint: [tex]Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

We are given midpoint K and [tex]x_1,y_1[/tex] the coordinates of P we need to find [tex]x_2,y_2[/tex] the coordinates of Q.

[tex]Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\\(-1,6)=(\frac{-9+x_2}{2},\frac{-4+y_2}{2})\\[/tex]

Now, we can write

[tex]-1=\frac{-9+x_2}{2}, 6=\frac{-4+y_2}{2}\\Simplifying:\\-2=-9+x_2\:,\: 12=-4+y_2\\-2+9=x_2\:,\: 12+4=+y_2\\x_2=7\:,\:y_2=16[/tex]

So, we get coordinates of Q [tex](x_2,y_2) \:are\: \mathbf{(7,16)}[/tex]

Option D is correct option.

Let small cups = S

Large cups = L

They bought a total of 8 cups, so S + L = 8

Rewrite as S = 8-L (1st equation)

Then you also have

$3S + $5L = $30 (2nd equation)

Replace the S in the second equation with the first equation:

$3(8-L) + $5L = $30

Simplify:

24 - 3L + 5L = 30

Combine like terms:

24+2L = 30

Subtract 24 from both sides:

2L = 6

Divide both sides by 2:

L = 3

They bought 3 large cups

Since they bought a total of 8 cups, that means they bought 5 small cups ( 8-3=5)

Large = 3 cups, Small = 5 cups

Answer: a. 12.39, 12.62, 124, 124

Step-by-step explanation:

The given numbers are : 124, 12.62, 12.39, 124

By using decimals , we convert them into like decimals .

124.00, 12.62, 12.39, 124.00  (To two decimal places)

Now , Least number = 12.39 , Greatest number = 124.00   (Which is repeating)

In order from least to greatest : 12.39, 12.62, 124, 124.

Hence, the correct option is : a. 12.39, 12.62, 124, 124

Given:

The function is

[tex]d(x)=850(0.94)^x[/tex]

To find:

The domain of the function.

Solution:

Domain is the set of input values.

We have,

[tex]d(x)=850(0.94)^x[/tex]

It is an exponential function, with initial value 850 and decay factor 0.94 because 0.94<1.

The exponential functions are defined for all real values of x. So, the domain of exponential function is always the set of all real numbers.

Therefore, the domain of the function d(x) is the set of all real numbers, i.e., R.

Answer:

if it's me I would pick etherbc are d I holp it helps

Answer:

10,935 bunnies at the end of 7 weeks  

Step-by-step explanation:

5 x 3 = 15

            ^  x 3 = 45

                          ^ x 3 = 135

                                        ^  x 3 = 405

                                                        ^  x 3 = 1,215

                                                                         ^ x 3 = 3,645

                                                                                         ^ x 3 = 10,935

I may be way off, forgive me, but I hope this helps anyway, have a good day!!

Answer:

Step-by-step explanation:

so coz there was already 11 inches but after 20min the tank is 56inch so wht u do is this

45+11t if im right

[tex]\boxed{\boxed{\pink{\bf \leadsto Hence \ the \ horizontal \ distance \ is \ 11.47 \ feet . }}}[/tex]

Given that Scott is using a 12 foot ramp . And the height of the truck is 3.5 feet from the ground. And we need to find the horizontal distance of the ramp reaches the ground of the truck .

Here will be a formation of a right angled triangle in which the

On using Pythagoras Theorem ,

[tex]\red{\bf \implies base^2+perpndicular^2=hypontenuse^2}\\\\\bf\implies (12 ft )^2 = base^2 + (3.5 ft )^2\\\\\bf\implies 144ft^2 = base^2+12.25 ft^2 \\\\\bf\implies base^2 = 144ft^2-12.25ft^2 \\\\\bf\implies base^2 = 131.75 ft^2\\\\\bf\implies base=\sqrt{131.75ft^2}\\\\\bf\implies\boxed{\red{\bf base = 11.47 ft }}[/tex]

Answer:

(2h + 3k) (m -  n)

Step-by-step explanation:

factor by pairing:  pair and factor the first two terms, then pair and factor the remaining two; there should be one factor which duplicates

m is common factor of 1st pair: m(2h+3k)

n is common factor of 2nd pair: n(2h+3k)

answer is one of the duplicate factors (2h+3k) times terms not contained in parentheses (m+n)

Answer:

[tex](2h+3k)(m-n)[/tex]

Step-by-step explanation:

[tex]2mh+3mk-2nh-3nk[/tex]

Just look at the common terms

[tex]2mh-2nh-3nk+3mk = 2h(m-n)-3k(n-m) = 2h(m-n)+3k(m-n)[/tex]

By grouping we have

[tex]2h(m-n)+3k(m-n) =\boxed{(2h+3k)(m-n)}[/tex]

Answer:

a.) 3x = 18 (where x = width)

b.) Area = 66 squared feet

Step-by-step explanation:

2{x + (2x-1)} = 34

3x - 1 = 17

x = 6 feet

length = 11 feet

Area = x (2x -1)

Answer:

40+5x=62.50

Step-by-step explanation:

8 friends 5 dollars is 40 dollars. Each popcorn bag is 2.5

40+5(2.5)=62.5

40+12.5=62.5

Answer:

62.50 + 8x = 40

Brailest plez and ill give you brainiest!

Step-by-step

Answer:

[tex]C.112[/tex]

Step-by-step explanation:

[tex]First,\\Lets\ list\ out\ all\ the\ primes\ between\ 50\ and\ 60:\\53,59\\Hence,\\By\ adding\ them\ we\ get:\\53+59\\=112[/tex]

Answer:

Slope: -2/7

Step-by-step explanation:

Slope is change in y over change in x.

(4-6)/(10-3)

= -2/7

Answer:

Amount got by Natasha = £52

Step-by-step explanation:

Given that:

Ratio of Sushil, Natasha and Fiona's share = 1:4:2

Amount of money received by Sushil and Fiona = £39

Let,

x be the number of times.

x+2x = 39

3x = 39

Dividing both sides by 3

[tex]\frac{3x}{3}=\frac{39}{3}\\x=13[/tex]

Share of Natasha = 4x = 4(13) = £52

Hence,

Amount got by Natasha = £52

Answer:

what??

Step-by-step explanation:

Answer:

n - 20 ≥ 15

n ≥  35

Step-by-step explanation:

a number could be greater than or equal to 35 and be a solution

Answer:

58 and 60

Step-by-step explanation:

well if we say that x is the first integer

then we have that the next one is

x+2

so we have

[tex]x+(x+2)=118\\\\2x+2=118\\\\2x=116\\\\x=58[/tex]

and the other one is

[tex]x+2=58+2=60[/tex]

Answer:

suppose one of our integers is x. then the next one would be x+2(because they are consecutive). so the equation looks like this :

x + ( x + 2 ) = 118 then we'll have : 2x+2 = 118 then : 2x = 116 .

so x would be 58 and the next one would be 60

Step-by-step explanation: