All categories

3 years ago

How many different rectangular prisms can you make with 4 cubes

Mathematics

1 answer:

Rina8888 [55]3 years ago

6 0

OK you just have to draw 4 cubes shaped like many different rectangular shapes

You might be interested in

Find the missing side of this right

navik [9.2K]

Answer:

x = 13

Step-by-step explanation:

First start with the blank equation

$a^{2} + b^{2} = c^{2}$

Plug in the legs and hypotenuse. Remember c squared is always the hypotenuse.

$5^{2} + 12^{2} = c^{2}$

Then solve

25 + 144 = $c^{2}$

169 = $c^{2}$

$\sqrt{169} = \sqrt{c^{2} }$

c = 13

3 0

3 years ago

Choose the numbers to complete the statement about the expression.

mrs_skeptik [129]

Answer:

1 + and a half = 1 in a half

Step-by-step explanation:

The numerator in the first fraction is closest to

10, so the fraction is nearest to 1.

The numerator in the second fraction is closest to 3, so the fraction is nearest to one-half.

The value of the expression can be estimated as 1 + one-half = 1 and one-half.

5 0

2 years ago

Which ones have a relationship with functions

Anit [1.1K]

Answer:

b. Yes

c. No

d. No

e. Yes

Step-by-step explanation:

hope this helped

7 0

3 years ago

Read 2 more answers

A hospital employs a total of 77 nurses and doctors. The ration if nurses to doctors is 9:2. How many nurses are employed at the

exis [7]

Answer: 63 nurses and 14 doctors

so you know the ratio is 9:2. that means for every 9 nurses there are 2 doctors. i didn't make an equation but i counted it.

if theres 9 (9*1) nurses theres 2 (2*1) doctors

if theres 18 (9*2) nurses theres 4 (2*2) doctors

if theres 27 (9*3) nurses theres 6 (2*3) doctors

you get the point so i multiplied 7 to 9 and 7 to 2, which means:

if theres 63 (9*7) nurses theres 14 (2*7) doctors

i hope this helps :)

6 0

3 years ago

Suppose that f : [a, b] → [a, b] is continuous. Prove that f has a fixed point. That is, prove that there exists c ∈ [a, b] such

nikklg [1K]

Answer:

Step-by-step explanation:

define the function:

$g(x) = f(x) -x$

As both $f(x)$ and x are continuous functions, $g(x)$ will also be continuous.

Now, what can we say about $g(a) = f(a) -a$ ?

we know that $a\leq f(a) \leq b$ , thus:

$a-a\leq f(a)-a \leq b-a\\0 \leq g(a) \leq b-a$

thus $g(a)$ is non-negative.

What about $g(b)$ ? Again we have:

$a\leq f(b) \leq b\\a-b \leq f(b) -b \leq 0\\a-b \leq g(b) \leq 0$

That means that $g(b)$ is not positive.

Now, we can imagine two cases, either one of $g(a)$ or $g(b)$ is equal to zero, or none of them is. If either of them is equal to zero, we have found a fixed point! In fact, any point $c$ for which $g(c)=0$ is a fixed point, because:

$g(c) = 0 \implies f(c) -c = 0 \implies f(c) = c$

Now, if $g(a) \neq 0$ and $g(b) \neq 0$ , then we have that

$g(a) >0$ and $g(b) < 0$ . And by Bolzano's theorem we can assert that there must exist a point c between a and b for which $g(c)=0$ . And as we have shown before that point would be a fixed point. This completes the proof.

6 0

3 years ago