3 years ago

If a number is increased by 4, its square is increased by 64. Find the number

Mathematics

2 answers:

Anit [1.1K]3 years ago

5 0

Answer:

Step-by-step explanation:

12 - 4 = 8

The square of 8 is 64

quester [9]3 years ago

3 0

Answer:

Step-by-step explanation:

(n + 4)^2 = n^2 + 64

n^2 + 8n + 16 = n^2 + 64

8n = 48

n = 6

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A. 11 cm^3 B. 14 cm^3 C. 15 cm^3 D. 25 cm^3

IgorLugansk [536]

Lets get started :)

We need to find the radius of the larger cylinder

V = $\pi$ r²h
960 = $\pi$ r²(16)
$\frac{960}{16} = \pi r^2$
60 = $\pi r^2$
$\frac{60}{ \pi } = r^2$
r = $\sqrt{ \frac{60}{ \pi } }$
r ≈ 4.27 cm

The ratio of the bigger cylinder to smaller is:
16 : 4

Therefore, the big cylinder is 4 times bigger than the small cylinder

$\frac{4.37}{4}$ = r
r = 1.09 cm (radius of small cyclinder)

V (small cylinder) = $\pi$ (1.09)²(4)
= 15 cm³

Your answer will be C. 15 cm³

3 0

3 years ago

Read 2 more answers

In a shopping mall there are 30 stands selling clothes, which accounts for 1/3 of the total stands. How many stands are there?

Vlad1618 [11]

Answer:

90 stands

Step-by-step explanation:

1/3 x 3 = 1.

30 x 3 = 90.

The answer is 90. I hope this helps!

4 0

3 years ago

Determine whether the polynomial below can be factored into perfect squares. If so, factor the polynomial. Otherwise, select tha

Natasha2012 [34]

Answer:

C. $(4x-8)^2$

Step-by-step explanation:

We need to determine whether the given polynomial $16x^2-64x+64$ can be factored into perfect squares. If so, factor the polynomial. Otherwise, select that it cannot be factored into a perfect square.