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3 years ago

A 36-foot long fence is placed around a square garden. What is the length of one side of the garden? (1 point)

2 answers:

4 0

If we know the length of the fence around a garden, we know the garden's perimeter. We also know that the garden is a square. Since squares have four sides that are each the same length, we know that the length of 1 side will be 36 feet / 4, or 9 feet.

meriva3 years ago

3 0

36/4 = 9 Feet on Each Side

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A sandbox in the shape of a rectangular prism is 2 feet deep and 6 feet wide. Filled to the top it can hold 72 cubic feet of san

Sedbober [7]

Answer:

height=6 ft

Step-by-step explanation:

-The volume of a rectangular prism is given by the formula:

$V=lwh$

#We make h the subject of the formula the solve for it:

$V=lwh\\\\\frac{V}{lw}=h\\\\\therefore h=\frac{V}{lw}$

#Substitute to solve for height:

$h=\frac{V}{lw}\\\\=\frac{72}{2\times 6}\\\\=6\ ft$

Hence, the prism has a height of 6 ft.

6 0

3 years ago

Which of the following pairs represent a function

denis23 [38]

Option D: $\{(-9,8),(-5,-8),(-7,8),(-6,-8)\}$ are the ordered pairs represents a function.

Explanation:

Given that the options of the set of ordered pairs.

We need to determine the ordered pairs that represents a function.

Option A: $\{(-12,8),(-15,8),(-5,-8),(-12,-8)\}$

A relation is said to be a function if each element of x is related to exactly one element in y.

From this set of ordered pairs, it is obvious that the element -12 of x is related to two different element in y.

Thus, the ordered pairs $\{(-12,8),(-15,8),(-5,-8),(-12,-8)\}$ is not a function.

Hence, Option A is not the correct answer.

Option B: $\{(8,-9),(-8,-5),(8,-7),(-8,-6)\}$

From this set of ordered pairs, it is obvious that the elements -8 and 8 of x are related to two different element in y.

Thus, the ordered pairs $\{(8,-9),(-8,-5),(8,-7),(-8,-6)\}$ is not a function.

Hence, Option B is not the correct answer.

Option C: $\{(13,-3),(13,0),(13,-1),(13,-1)\}$

From this set of ordered pairs, it is obvious that the element 13 of x is related to three different element in y.

Thus, the ordered pairs $\{(13,-3),(13,0),(13,-1),(13,-1)\}$ is not a function.

Hence, Option C is not the correct answer.

Option D: $\{(-9,8),(-5,-8),(-7,8),(-6,-8)\}$

A relation is said to be a function if each element of x is related to exactly one element in y.

From this set of ordered pairs, it is obvious that the each element of x is related exactly one element in y.

Thus, the ordered pairs $\{(-9,8),(-5,-8),(-7,8),(-6,-8)\}$ is a function.

Hence, Option D is the correct answer.

7 0

3 years ago

Find x A. 22√2 B. 22 C. 11√3/3 D. 11√3

mel-nik [20]

Answer

$22\sqrt{2}$

Step-by-step explanation:

First we gave a name to the side that is common for both triangles, can be Y for example.

Using trigonometric functions we can make a relationship between the two angles that we have and the magnitud of the side.

$sin(45)=\frac{11}{Y} \\$ , Because sin(x)= op/hip

$cos(60)=\frac{Y}{x}$ , Because con(x)=ad/hip

Having this equations, we can solve the system and find x

$Y=\frac{11}{sin(45)} \\Y=cos(60)*x$

we equal Y and solve

$\frac{11}{sin(45)}=cos(60)*x\\ x=\frac{11}{sin(45)*cos(60)} \\x=\frac{11}{\frac{\sqrt{2} }{2} *\frac{1}{2} } \\x=\frac{11}{\frac{\sqrt{2} }{4} } \\x=\frac{44}{\sqrt{2} }\\$