The side lengths of the smaller cube is 3 1/2 inches by 3 1/2 inches by 3 1/2 inches

The diagram represents the relationship of number sets. The four choices given will complete the diagram. Which BEST describes

NISA [10]

It’s D.
Natural numbers are 1,2,3,4,5,etc...
Whole numbers are 0,1,2,3,4,5,etc...
Integers are -1,-2,-3,-4,-5,-6,etc...
Rational numbers are -8/12, 2/3, 0.468,etc...

5 0

3 years ago

46 out of 200 dogs are short haired breeds. What percent of dogs are not short haired breeds

Ivahew [28]

Hi!

46 out of 200 are short haired, which means that 200 - 46 = 154 out of 200 are not short haired. In percentages, that is:

154/200 = 77/100 = 77%

Hope this helps!

8 0

3 years ago

2 2/3 of what number is 6 1/7

borishaifa [10]

$2\frac{2}{3}$ of $2\frac{17}{56}$ is $6\frac{1}{7}$

Solution:

Given $2\frac{2}{3}$ of what number is $6\frac{1}{7}$ .

Let us first convert the mixed fraction into improper fraction.

$$2\frac{2}{3}=\frac{(2\times3)+2}{3}=\frac{8}{3}$

$$6\frac{1}{7}=\frac{(6\times7)+1}{3}=\frac{43}{3}$

Now, let us take the unknown number be x.

$$2\frac{2}{3}\times x=6\frac{1}{7}$

$$\frac{8}{3}\times x=\frac{43}{7}$

Do the cross multiplication.

$$ x=\frac{43}{7}\times\frac{3}{8}$

$$ x=\frac{43\times3}{7\times8}$

$$ x=\frac{129}{56}$

Now, again change the improper fraction into mixed fraction.

$$ x=2\frac{17}{56}$

Hence $2\frac{2}{3}$ of $2\frac{17}{56}$ is $6\frac{1}{7}$ .

6 0

3 years ago

The most recent census for a city indicated that there were 919,716 residents. The population of the city is expected to increas

OLEGan [10]

Answer:

1,474,951.

Step-by-step explanation:

Given a population that increases by a constant percentage, we can model the population's growth using the exponential model.

$P(t)=P_o(1+r)^t,$ where \left\{\begin{array}{lll}P_o=$Initial Population\\r$=Growth rate\\$t=time (in years)\end{array}\right\\P_o=919,716\\r=3.7\%=0.037\\$t=13 years$

Therefore, the population of the city in 13 years time will be:

$P(t)=919,716(1+0.037)^{13}\\\\=919,716(1.037)^{13}\\\\=1,474,950.9\\\\\approx 1,474,951$

The population be at that time will be approximately 1,474,951.

3 0

3 years ago

Don't get this

kap26 [50]

I'll talk you through it so you can see why it's true, and then
you can set up the 2-column proof on your own:

Look at the two pointy triangles, hanging down like moth-wings
on each side of 'OC'.

-- Their long sides are equal, OA = OB, because both of those lines
are radii of the big circle.

-- Their short sides are equal, OC = OC, because they're both the same line.

-- The angle between their long side and short side ... the two angles up at 'O',
are equal, because OC is the bisector of the whole angle there.

-- So now you have what I think you call 'SAS' ... two sides and the included angle of one triangle equal to two sides and the included angle of another triangle.
(When I was in high school geometry, this was not called 'SAS' ... the alphabet
did not extend as far as 'S' yet, and we had to call this congruence theorem
"broken arrow".)

These triangles are not congruent the way they are now, because one is
the mirror image of the other one. But if you folded the paper along 'OC',
or if you cut one triangle out and turn it over, it would exactly lie on top of
the other one, and they would be congruent.

So their angles at 'A' and at 'B' are also equal ... those are the angles that
you need to prove equal.

5 0

3 years ago