Write 12.4% as a decimal and simplified fraction

1. Carter will install fencing all around the flat area of his

MariettaO [177]

Answer:

Amount of fencing required = 75 yards

Step-by-step explanation:

Distance between the two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by the formula,

d = $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Distance between A(3, 6) and B(3, -2) = $\sqrt{(3-3)^2+(6+2)^2}$

= 8 yards

Distance between B(3, -2) and C(-7, 4) = $\sqrt{(3+7)^2+(-2-4)^2}$

= $\sqrt{136}$

= 11.66 ≈ 12 yards

Distance between C(-7, 4) and D(-7, -2) = $\sqrt{(-7+7)^2+(4+2)^2}$

= 6 yards

Distance between D(-7, -2) and E(-3, -2) = $\sqrt{(-7+3)^2+(-2+2)^2}$

= 4 yards

Distance between E(-3, -2) and F(-3, -8) = $\sqrt{(-3+3)^2+(-2+8)^2}$

= 6 yards

Distance between F(-3, -8) and G(3, -8) = $\sqrt{(-3-3)^2+(-8+8)^2}$

= 6 yards

Distance between G(3, -8) and H(10, -12) = $\sqrt{(3-10)^2+(-8+12)^2}$

= $\sqrt{49+16}$

= $\sqrt{65}$

= 8.06 ≈ 8 yards

Distance between H(10, -12) and J(10, 6) = $\sqrt{(10-10)^2+(-12-6)^2}$

= 18 yards

Distance between A(3, 6) and J(10, 6) = $\sqrt{(10-3)^2+(6-6)^2}$

= 7 yards

Since length of fence required = perimeter of the flat area

Perimeter of the given area = 8 + 12 + 6 + 4 + 6 + 6 + 8 + 18 + 7

= 75 yards

Therefore, amount of fencing required = 75 yards

8 0

3 years ago

Please asap correct answer gets brainliest

weeeeeb [17]

Answer: 36 square units

Step-by-step explanation:

Divide the figure into 2 shapes: a rectangle and a triangle. Count the squares to find the dimensions of each figure. The rectangle has a width of 4 units and a length of 6 units. The triangle has a base of 6 units and a height of 4 units.

The formula for the area of a rectangle is length * width. The area of the rectangle is 4*6 = 24 square units.

The formula for the area of a triangle is (base * height)/2. The area of the triangle is (4*6)/2 = 24/2 = 12 square units.

Add the areas of both the rectangle and triangle. 24+12 = 36 square units.

8 0

2 years ago

Sue wrote a doubles fact. It has a sum less than 10 and greater than 4. The addends are each less than 5. What fact might she ha

harina [27]

2×4=8 because 2 and 4 would be the addends and their less than 5 and it equal an answer between 4 and 10

6 0

3 years ago

What is the distance across the lake?

vredina [299]

Given:

Height of right triangle = 9 mi

Hypotenuse = 17.5 mi

Base of right triangle = Distance across lake

To find:

The distance across the lake.

Solution:

Using Pythagoras theorem:

In right triangle, square of the hypotenuse is equal to the sum of the squares of the other two sides.

$\Rightarrow 9^2+base^2=(17.5)^2$

$\Rightarrow 81+base^2=306.25$

Subtract 81 from both sides.

$\Rightarrow 81+base^2-81=306.25-81$

$\Rightarrow base^2=225.25$

Taking square root on both sides.

⇒ base = 15

The distance across the lake 15 mi.

5 0

3 years ago

Which equation represents a linear function?

Evgen [1.6K]

The answer is: [C]: "<span>Equation 3" .
_________________________________________________________
{which is: " y = 5x – 1 " } .
_________________________________________________________
<u>Note</u>: Among the FOUR (4) equations in the answer choices; "Equation 3" is the only equation that does NOT contain an "exponent" (that is; an exponent other than the (implied exponent of "postive 1").
_________________________________________________________
Furthermore, "Equation 3" is written in "slope-intercept form" ; that is:

"y = mx + b" ; the form of a linear equation.
_________________________________________________________</span>

4 0

3 years ago