Can some one help me will give brainliestg

Find a formula for the described function. an open rectangular box with volume 9 m3 has a square base. express the surface area

Maru [420]

Let

x--------> the length side of the square base

h--------> the height of the box

we know that

the volume of the box is equal to

$V=x^{2} *h\\ V=9\ m^{3}$

so

$x^{2} *h=9\\\\h=\frac{9}{x^{2} }$

the surface area of the box is equal to

$SA=area\ of\ the\ base+perimeter\ of\ base*height$ (remember that the box is open)

area of the base= $(x^{2})\ m^{2}$

Perimeter of the base= $(4*x)\ m$

height=(h) m

$h=\frac{9}{x^{2}}$

substitute

$SA=x^{2} +4*x*h\\ \\ \\ SA=x^{2} +4*x*\frac{9}{x^{2} } \\ \\ SA=x^{2} +\frac{36}{x}$

we know that

the value of x can not be negative and the denominator can not be zero

therefore

the answer is

the domain of SA is x> 0

the domain is the interval-------------> (0,∞)

6 0

2 years ago

What does the expression x ≤ 4 mean in word form?

fiasKO [112]

Answer:

x is less than or equal to 4

Step-by-step explanation:

3 0

3 years ago

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Martha invested a principal amount of $15,000 into a savings account that earns simple interest at a rate of 4.5% per year. How

lidiya [134]

Option A

The simple interest earned over 6 years is $ 4050

Solution:

Martha invested a principal amount of $15,000 into a savings account that earns simple interest at a rate of 4.5% per year

The formula for simple interest is given as:

$Simple\ Interest = \frac{p \times n \times r}{100}$

Where, "p" is the principal and "n" is the number of years and "r" is the rate of interest

From given,

p = 15000

r = 4.5 %

n = 6 years

Substituting the values we get,

$Simple\ Interest = \frac{15000 \times 4.5 \times 6}{100}\\\\Simple\ Interest = 150 \times 4.5 \times 6\\\\Simple\ Interest = 4050$

Thus simple interest earned over 6 years is $ 4050

6 0

3 years ago

When making a book cover, Anwar adds an additional 20 square inches to the surface area to allow for overlap. How many square in

e-lub [12.9K]

Answer:

234 square inches

Step-by-step explanation:

We are given that

Length of book, l=11 in

Width of book, w=8 in

Height of book, h=1in

Additional area required to overlap=20 square inches

We have to find how many square inches of paper to make cover of one book.

We know that surface area of cuboid

$S=2(lb+bh+hl)$

Using the formula

Surface area of book

$S=2(11\times 8+8\times 1+1\times 11)$

$S=214 in^2$

Total paper used to make cover of one book

=Surface area of book +additional surface area

= $214+20$

$=234in^2$

Hence, Anwar will use paper to make cover of one book=234 square inches

3 0

3 years ago

Use the law of syllogism to form a conclusion from the given premises. Premise 1: If a polygon was translated to the right, then

Pachacha [2.7K]

Premise 1: If a polygon was translated to the right, then its image is congruent to its pre-image.

In symbols: p => q

Premise 2: If an image is congruent to its pre-image, then a rigid transformation was performed.

In symbols: q => r

By the law of silogism

(p => q) and (q => r) => q => r

So, the conclusion is that if a polygon was translated to the right, then a rigid transformation was performed. <---- answer

3 0

3 years ago

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