The diameter of a circle is 14 cm. Find its area in terms of \piπ.

Answer:

61.97 feets

Step-by-step explanation:

Using trigonometry :

Horizontal distance between the person and building,

Let distance = d

Tan 15 = 15 / d

0.2679491 * d = 15

d = 15 / 0.2679491

d = 55.980781

To obtain the height, h :

tan 40 = (h-15)/d

d = 55.98

h-15 = 55.98 (tan 40°)

h - 15 = 55.98 * 0.8390996

h - 15 = 46.972797

h = 46.972797 + 15

h = 61.972797

h = 61.97 feets

Answer:

x = 13

Step-by-step explanation:

BD is the hypotenuse of the smaller triangle and corresponds to 2x - 7.  51 is the longer leg of triangle EFG

The ratio of the two hypotenuses is (2x - 7)/57, and the ratio of the two longer legs is (x + 4)/51.  These ratios are equal to one another.  Thus:

2x - 7      x + 4

--------- = ---------

   57          51

Cross multiplication results in 51(2x - 7) = 57x + 228, or

102x - 357 = 57x + 228

Combining like terms, we get:

45x = 585, and so x = 13.

Answer:

Please check explanations

Step-by-step explanation:

From what we have, the constant term is 0.994

Now, what this mean is that with an increase in the value of t, there will be a decrease in the change of quantity

This is because the rate of change is less than 1

With an increasing value of power, the value of the exponent would be less than its previous value

So what this mean is that we would have less quantities over time since the value of the constant term is less than 1

Answer:

tan45° = x/13

x=13

now y = √13²+13²

y =13√2

Answer:

x = 13

y = 13sqrt(2)

Step-by-step explanation:

it is a 45 - 45 - 90 triangle

Answer:

the cheetah traveled 243 m, it could not catch up with the gazelle that traveled 245 m.

Step-by-step explanation:

Given that

Cheetah running at 90 km/h

Separated from a distance of 20 m

Now speed is 97 km/h

The time is 9 seconds

We need to find out whether it would catch up with the gazelle

For  Gazelle

90 km = 90 × 1,000 = 90,000 m

1 h = 1 × (60 x 60) = 3600 s

Now

90,000: 3,600 = 25 m / s

For Cheetah

97 Km = 97 × 1000 = 97,000 m

1 h = 1 × (60 × 60) = 3600 s

Now

97 000: 3600 = 26.94 i.e. 27 m/s

e = 27 m /s × 9 s = 243 m  

e = 25 m/s × 9 s = 225 m

Now

we have to add  20 m advantage to the gazelle.

So,

= 225 + 20

= 245 m

So based on the above calculation

the cheetah traveled 243 m, it could not catch up with the gazelle that traveled 245 m.

Answer: d

Step-by-step explanation:

The membership increases by 50 members in each of the six warmest months and decreases by 50 members in each of the other six months

Answer:

AB = 5

Step-by-step explanation:

Pythagorean theorem: a² + b² = c²

=> 3² + 4² = AB²

=> AB = [tex]\sqrt{3^{2}+4^{2} }[/tex]

=> AB = 5

Answer:

i am REALLLYYY not sure about my answer but i think its 6. i dont recommend you to put that answer in lol

Step-by-step explanation:

6 = 3/3

Answer:

d= -28..................

Answer:

1. p=54

2. -2n - 14

Step-by-step explanation:

1. Combine multiplied terms into a single fraction  

Multiply by 1  

Subtract   7 from both sides of the equation

2. not quiet sure so sorry if you get it wrong

Answer:

Step-by-step explanation:

Now the formula to find the volume of a pyramid is  [tex]V=\frac{lwh}{3}[/tex]

We know the length, width and height so let´s get started!

First let´s multiply to find the base. To do so, we will do length × width.

18 × 18 = 324

Now multiply by the height

324 × 12 = 3,888

After you multiply all length, width and height, we need to divide by three.

3,888 ÷ 3 = 1,296

Before we finish, we need to do the last two steps

First we need to add the measurement unit which is centimetres or cm.

We also need to add ³ since it is volume

1,296 cm³ is our final answer

Answer:

1/4

Step-by-step explanation:

D

Answer:

(2,8)

x = 2

y = 8

Step-by-step explanation:

The steps are shown in the picture

Answer:

683cm

Step-by-step explanation:

Pay attention next time

Answer:

[tex] \displaystyle A_{ \text{surface}} = 42cm ^{2} [/tex]

Step-by-step explanation:

we are given the base area of a cube

recall the surface area formula of a cube

[tex] \displaystyle A_{ \text{surface}} = 6( {a}^{2} )[/tex]

notice that, we are given the base area 7cm² in other words we are given a² i.e 7cm²

Thus substitute:

[tex] \displaystyle A_{ \text{surface}} = 6( 7 )cm ^{2} [/tex]

simplify multiplication:

[tex] \displaystyle A_{ \text{surface}} = 42cm ^{2} [/tex]

and we are done!

Answer:

FV= £12,362.7

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= £12,000

Number of periods (n)= 2 years

Interest rate (i)= 1.5% = 0.015

To calculate the Future Value, we need to use the following formula:

FV= PV*(1 + i)^n

FV= 12,000*(1.015^2)

FV= £12,362.7

Answer:

9 units

Step-by-step explanation:

Given

[tex]Length = 8[/tex]

[tex]Width = 4[/tex]

[tex]Height = 1[/tex]

Required

Determine the length of the longest segment

To do this, we use:

[tex]Longest = \sqrt{Length^2 + Width^2 + Height^2}[/tex]

So, we have:

[tex]Longest = \sqrt{8^2 + 4^2 + 1^2}[/tex]

[tex]Longest = \sqrt{64 + 16 + 1}[/tex]

[tex]Longest = \sqrt{81}[/tex]

Take positive square root

[tex]Longest = 9[/tex]

Hence, the length of the longest segment is 9 units

3/5 is the probability that he will win, you must find a fraction which adds to make 100%.

2/5 would be the fraction for his probability to lose.

0.4 or 40%.

Answer: 7

Step-by-step explanation:

Scientific notation is a method that is used in very large numbers or when we've very small numbers. The number given will be multiplied by its power of 10. In this case,

2.8 trillion = 2,800,000,000,000

= 2.8 × 10^12

0.4 trillion = 400,000,000,000

= 4 × 10^11

Therefore, the times more electricity was there in 1999 than 1950 will be:

= (2.8 × 10^12) / (4 × × 10^11)

= (2.8/4) / (10^12 - 11)

= 0.7 × 10

= 7 times

There were 7 times more electricity that was there in 1999 than 1950.

Answer:

Step-by-step explanation:

f(6) is the intersection of vertical line going through x = 6 and the graph of the quadratic function.

By tracing the line we find the intersection is the point (6, 4)

Correct choice is D

Answer:

16.5

Step-by-step explanation:

Answer:

16.50

Step-by-step explanation:

5.50 divided by 2 is 2.75

2.75 times 6 is 16.50

Answer:

A = 8.2462112512353

I hope it's helps you

Answer:

2272.03

Step-by-step explanation:

Answer: 812.5

Step-by-step explanation: what i did first was divide 65000 by 10 which gave 6500 and then i divided it by 8 which gave 812.5, but i could be possibly wrong

Answer:

r = [tex]\frac{1}{5}[/tex]

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

(x + [tex]\frac{1}{5}[/tex] )² + (y - [tex]\frac{2}{5}[/tex] )² = [tex]\frac{1}{25}[/tex] ← is in standard form

with r² = [tex]\frac{1}{25}[/tex] , then

r = [tex]\sqrt{\frac{1}{25} }[/tex] = [tex]\frac{1}{5}[/tex]

The radius of the circle is, r = 1/5 units.

An equation of circle with center (h, k) and radius 'r' is,

(x - h)²+(y - k)² = r²

For given example,

the equation of the circle is, (x+1/5)^2+(y-2/5)^2=1/25

By comparing with standard equation of circle (x - h)²+(y - k)² = r²,

we have h = -1/5, k = 2/5 and r² = 1/25

We need to find the radius of the circle,

r² = 1/25

By taking square-root,

we have r = 1/5 units

Therefore, the radius of the circle is r = 1/5 units.

Learn more about equation of circle here:

https://brainly.com/question/10618691

#SPJ2

Answer:69

Step-by-step explanation:

A) $16

B) p(x) = 16x -800

C) 69 ticketsn:

A) The total of expenses is ...

$280 +100 +20 +400 = $800

If this is covered by 50 tickets, then a ticket must provide revenue of ...

$800/50 = $16

The cost per ticket is $16.

__

B) The profit is the difference between revenue and expenses. The revenue from sale of x tickets will be 16x. The expenses are fixed at 800, so the profit is ...

p(x) = 16x -800

__

C) We can find the number of tickets to sell (x) in order for profit to be at least $300 by solving the inequality ...

p(x) ≥ 300

16x -800 ≥ 300 . . . . . use the expression for p(x)

16x ≥ 1100 . . . . . . . . . add 800

x ≥ 68.75 . . . . . . . . . . divide by 16 . . . (the least satisfactory integer is 69)

In order to raise at least $300, the number of tickets sold must be at least 69.

Answer:

14.14inches

Step-by-step explanation:

Given data

Length L= 10 inches

Width W= 10 inches

The size of the screen is described by the lenght of the diagonal

Applying the Pythagoras theorem we have

D^2= L^2+ W^2

D^2= 10^2+ 10^2

D^2= 100+100

D^2= 200

D= √200

D= 14.14 inches

Hence the size of the screen is 14.14inches

Answer:

A. 14

Step-by-step explanation:

Answer: 10x^3(6+5x^2)