Caleb bought groceries and paid 1.60 in sales tax. The sales tax rate is 2.5%

A large wooden box, as shown, has a volume of 4352 ft3. The box is a right square prism with a base with sides that each measure

notsponge [240]

<h2>Volume of a Prism</h2>

To find the volume of a prism, we can use the following formula:

$V=base\hspace{3}area*height$

Although this formula is typically used to find the volume of a prism, we can also use it to find the base area or height, as long as we re-arrange it accordingly.

For a rectangular prism, the base area is solved using the following formula:

$A=lw$ ⇒ where <em>l</em> is the length and <em>w</em> is the width

<h2>Solving the Question</h2>

We're given:

V = 4352 ft³
<em>l</em> = 16 ft
<em>w</em> = 16 ft
We need to solve for the height of the box.

First, find the base area:

$A=lw\\A=16^2\\A=256$

Therefore, the base area is equal to 256 ft².

Now, modify the volume formula to isolate the height:

$V=base\hspace{3}area*height$

⇒ Divide both sides by the base area:

$\dfrac{V}{base\hspace{3}area}=\dfrac{base\hspace{3}area*height}{base\hspace{3}area}\\\\\dfrac{V}{base\hspace{3}area}=height\\\\height=\dfrac{V}{base\hspace{3}area}$

⇒ Plug in the given values:

$height=\dfrac{4352}{256}\\\\height=17$

Therefore, the height of the box is 17 ft.

<h2>Answer</h2>

The height of the box is 17 ft.

3 0

2 years ago

Use the elimination method to solve the system of equations. Choose the

hichkok12 [17]

Answer:

the ordered pair is (2,-1)

Step-by-step explanation:

We need to solve the system of equations using elimination method

12x - y = 25 eq(1)

9x + y = 17 eq(2)

Adding eq(1) and eq(2)

12x - y = 25

9x + y = 17

___________

21x = 42

x = 42/21

x= 2

Now, putting value of x in equation 1

12x - y = 25

12(2) -y = 25

24 -y = 25

Adding -24 on both sides

24 -y-24 = 25-24

-y = 25-24

-y = 1

Multiply both sides by -1

y = -1

the value of x = 2 and y = -1

So, the ordered pair is (2,-1)

5 0

3 years ago

Read 2 more answers

If x = 4 units, y = 5 units, and h = 4 units, find the area of the rhombus shown above using decomposition.

QveST [7]

A. 36 square units
(Please tell me if I’m right in the comments)
Have a wonderful day!

4 0

3 years ago

Let C = {n ∈ Z | n = 6r – 5 for some integer r} and D = {m ∈ Z | m = 3s + 1 for some integer s}.

noname [10]

Its is true that C ⊆ D means Every element of C is present in D

According to he question,

Let C = {n ∈ Z | n = 6r – 5 for some integer r}

D = {m ∈ Z | m = 3s + 1 for some integer s}

We have to prove : C ⊆ D

Proof : Let n ∈ C

Then there exists an integer r such that:

n = 6r - 5

Since -5 = -6 + 1

=> n = 6r - 6 + 1

Using distributive property,

=> n = 3(2r - 2) +1

Since , 2 and r are the integers , their product 2r is also an integer and the difference 2r - 2 is also an integer then

Let s = 2r - 2

Then, m = 3r + 1 with r some integer and thus m ∈ D

Since , every element of C is also an element of D

Hence , C ⊆ D proved !

Similarly, you have to prove D ⊆ C

To know more about integers here

brainly.com/question/15276410

#SPJ4

7 0

2 years ago

The smallest number by which 28 should be multiplied so as to get a perfect square is

dsp73

Answer:

7.

Step-by-step explanation:

28 = 2^2 * 7.

To multiply 28 to get a perfect square, we can multiply it by 7 to get 2^2 * 7^2, which is 14 squared.

4 0

3 years ago