Please answer these two questions correctly please

Hector needs 84 feet of fencing to enclose his rectangular gardenThe length of his garden is 12 feet less than twice its widthWh

mihalych1998 [28]

Answer:

The width of his garden is 18 feet.

Step-by-step explanation:

Let the length of Hector's rectangular garden is a feet and width is b feet.

So, by the given condition, we can write that

2(a + b) = 84

⇒ a + b = 42 ............ (1)

Again, the length of his garden is 12 feet less than twice its width.

So, a = 2b - 12 .............. (2)

Now, solving equations (1) and (2) we get,

(2b - 12) + b = 42

⇒ 3b = 54

⇒ b = 18 feet.

Now, from equation (1) we get,

a = 42 - b = 42 - 18 = 24 feet.

Therefore, the width of his garden is 18 feet. (Answer)

8 0

3 years ago

Which is the equation of a circle that has a center of (-1, 3) and passes through the point (3, 6)?

tatiyna

Answer:

( x + 1)^2 + ( y - 3)^2 = 25

Step-by-step explanation:

The equation of the circle with a center and a point

( x - a) ^2 + ( y - b) ^2 = r^2

( a , b) - center of the circle

( x , y) - any point on the circle

r^2 - radius

( -1 , 3) - ( center) - ( a, b)

a = -1

b = 3

( 3 , 6) - ( point) - ( x, y)

x = 3

y = 6

Step 1: substitute the center into the equation

( x -(-1)^2 + ( y - 3)^2 = r^2

( x + 1)^2 + ( y - 3)^2 = r^2

Step 2: sub the point into the equation

( x + 1)^2 + (y - 3)^2 = r^2

( 3 + 1)^2 + ( 6 - 3)^2 = r^2

4^2 + 3^2 = r^2

16 + 9 = r^2

25 = r^2

Step 3: sub the radius into the equation

( x + 1)^2 + ( y - 3)^2 = r^2

( x + 1)^2 + (y - 3)^2 = 25

Therefore, the equation of the circle is

( x + 1)^2 + (y - 3)^2 = 25

6 0

3 years ago

The lenght of a turtles shell z, in millimeters, is related to the turtles age in years a , as described by the equation below.

puteri [66]

Answer:

B, C , F

Step-by-step explanation:

The age multiplied 55, so the shell grows at rate of 55mm per year

in fact if the age is 2 we have (55 x 2) = 55 + 55

if 3 = (55 x 3) = 55 + 55 + 55

and so on

When the turtle is hatched the shell is 37 mm in lenght.

In fact, if we substitute 0 to a, we have

s = (55 x 0) + 37

s = 37

when the turtle is 1 year old, the shell is 92 mm in length.

in fact if we substitu a with 1, we have

s = (55 x 1) + 37

s = 55 + 37

s = 92

8 0

3 years ago

6x + 2y > 48<br><br> solve for y

kozerog [31]

Answer:

y > 24 − 3x

Step-by-step explanation:

Step 1: First, you need to factor out the common term 2.

2 (3x + y) > 48

Step 2: Then, you divide both sides by 2.

$3x+y>\frac{42}{2}$

Step 3: Next, you have to simplify $\frac{42}{2}$ into 24.

3x + y > 24

Step 4: Lastly, subtract 3x from both sides and you're done!

y > 24 − 3x

7 0

3 years ago

Each student in a school was asked, "What is your favorite color?" The circle graph below shows how they answered

mariarad [96]

Answer:

a). BLUE color

b). 20%

Step-by-step explanation:

a). "Which color was chosen by approximately one fourth of the students?"

Since one fourth of the students will be represented by one fourth area of the circle given.

That means color of choice represented by the quarter of the circle will be the color liked by one fourth students.

In the figure attached, BLUE color is the choice of one fourth students in the class.

b). Area represented by purple, green and other colors is a quarter of the circle.

If we divide this quarter into five equal sections, then the total of purple and green will be $4\times \frac{1}{5}$ of the the quarter of the circle.

Measure of the angle defined by purple or green sections = $\frac{4}{5}\times 90$

= 72°

Percentage of the students who preferred purple or green = $\frac{72}{360}\times 100$

= 20%

4 0

3 years ago