Use the figure to find the measures of the numbered angles.

Answers

Answer 1

Answer:

Answer: 5=49, 6= 131

Step-by-step explanation:

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A piece of rope there is 28 feet long is cut into two pieces. One is use to form a circle and others used to form a square. Write a function G representing the area of the square as a function of the radius of the circle R

Answers

The function g representing the area of the square as a function of the radius of the circle r is given as:

$g(r) = 49 - 22r + (121r^2)/(49)$

Solution:

Given that,

length of rope = 28 feet

Let "c" be the circumference of circle

Let "p" be the perimeter of square

Therefore,

length of rope = circumference of circle + perimeter of square

c + p = 28 ------- eqn 1

The circumference of circle is given as:

$c = 2 \pi r$

Where, "r" is the radius of circle

Substitute the above circumference in eqn 1

$2 \pi r + p = 28$

$p = 28 - 2 \pi r$ ----------- eqn 2

If "a" is the length of each side of square, then the perimeter of sqaure is given as:

p = 4a

Substitute p = 4a in eqn 2

$4a = 28 - 2 \pi r\n\na = (28 - 2 \pi r)/(4)\n\na = 7 - ( \pi r)/(2)$

The area of square is given as:

$area = (side)^2\n\narea = a^2$

Substitute the value of "a" in above area expression

$area = (7 - ( \pi r)/(2))^2$ ------ eqn 3

We know that,

$(a - b)^2 = a^2 - 2ab + b^2$

Therefore eqn 3 becomes,

$area = 7^2 -2(7)((\pi r)/(2)) + (( \pi r)/(2))^2\n\narea = 49 - 7 \pi r + ( (\pi)^2 r^2 )/(4)$

$\text{ substitute } \pi = (22)/(7)$

$area = 49 - 7 * (22)/(7) * r + ((22)/(7))^2 * (r^2 )/(4)\n\narea = 49 - 22r + (121)/(49) * r^2\n\narea = 49 - 22r + (121r^2)/(49)$

Let g(r) represent the area of the square as a function of the radius of the circle r, then we get

$g(r) = 49 - 22r + (121r^2)/(49)$

Thus the function is found

What is the answer pls it’s for a grade

Answers

Answer:

Skewed right

Step-by-step explanation:

Answer:

Skew right... Glad to help

Determine the x-intercept of the line whose equation is given:y = StartFraction x Over 2 EndFraction minus 3
a.
(6, 0)
b.
(negative 6, 0)
c.
(0, three-halves)
d.
(Negative three-halves, 0)

Answers

A I think this because I did the math in my head lol

Answer:

Step-by-step explanation:

Lysera enjoys exploring her land on horseback with its lush green valleys and ancient forests. She can cover a great deal of ground on her horse, Princess Grey Dawn, traveling at 9 km/h. Unfortunately Lysera has allergies. How far would Lysera and Princess Gray Dawn have moved while Lysera’s eyes were shut for 0.50 s during a hard sneeze? (answer in kilometers)

Answers

Answer:

0.00125 km.

Step-by-step explanation:

Given,

Speed of the horse on which princess travelling, v = 9km/h

Time taken by Lysera to sneeze = 0.5 s

As we know

1 hour = 3600 seconds

$=>\ 1\ second\ =\ (1)/(3600)\ hour$

$=>\ 0.50 second\ =\ (1)/(3600)* 0.50$

$=\ 1.38* 10^(-4)\ hour$

So, time taken by Lysera to sneeze can be given by,

$t\ =\ 1.38* 10^(-4)\ hour$

According to definition of speed,

$Speed\ =\ (distance)/(time)$

=>distance = speed x time

$=\ 9\ km/h* 1.38* 10^(-4)\ hour$

= 0.00125 km

Hence, Princess Gray down will moved by 0.00125 km.

How many grains of sand are there in 6300kg of sand? Give your answer in standard from

Answers

Answer:

5 g

Step-by-step explanation:

Answer:

16,191,000,000

Step-by-step explanation:

1 kg= 2.57 millions grains of sand

2.57 million*6300= 16,191,000,000

Thr sum of 2 numbers is 97.The greater number is three less then four times the lesser number.Find the numbersneed answer soon PLEASE!!!!

Answers

Answer:

Greater number: 77 Lesser number: 20

Step-by-step explanation:

Sooo

20 × 4 is 80

80 - 3 = 77

77 + 20 = 97

Answer:

77 & 20

Step-by-step explanation:

x+y=97

x=4y-3

4y-3+y=97

5y=97+3

5y=100

5 5

y=20

x=4y-3

x=4(20)-3

x=80-3

x=77

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