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inna [77]
3 years ago
10

The population of Colorado is more than 5 x 106 people, while the population of the United States is more than 3 x 108 people. W

hich is the best estimate of how many times larger the population of the United States is compared to the population of Colorado?
A. About 6 times larger
B. About 17 times larger
C. About 69 times larger
D. About 170 times larger
Mathematics
1 answer:
densk [106]3 years ago
7 0

Answer:

it's d

Step-by-step explanation:

because there is about x170 more people then 108 in both u.s. and Colorado

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The smallest angle in a triangle is 1/3 as large as the largest angle. The third angle is twice the smallest angle. Find the thr
Sliva [168]

Let the largest angle in a triangle be x .

Then :-

The smallest angle :-

\frac{1}{3} x

The third angle :-

\frac{2}{3} x

Let us find the measure of the three angles .

Sum of all angles in the interior of a triangle = 180°

An equation to find the value of each angle :-

x +  \frac{1}{3} x +  \frac{2}{3} x = 180

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x +  \frac{1}{1} x = 180

x + 1x = 180

x + x = 180

2x = 180

x =  \frac{180}{2}

x = 90

Which means :-

Measure of the largest angle = 90°

Measure of the smallest angle :-

\frac{1}{3}  \times 90

= 30°

Measure of the third angle :-

\frac{2}{3}  \times 90

= 60°

<h3>Therefore :-</h3>

The measure of the largest angle = 90°

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6 0
3 years ago
13) -3x - 4y = 8<br>-4x - 3y=6​
Dvinal [7]

Answer:

x = 0, y = -2

Step-by-step explanation:

-3x - 4y = 8  (1)

-4x - 3y=6​ (2)

Multiply (1) by -4 and (2) by -3, we have:

12x + 16y = - 32  (3)

12x + 9y= -18​ (4)

Subtract (4) from (3), we have:

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6 0
3 years ago
A man starts walking north at 2 ft/s from a point P. Five minutes later a woman starts walking south at 3 ft/s from a point 500
Vedmedyk [2.9K]

Answer:

The rate at which both of them are moving apart is 4.9761 ft/sec.

Step-by-step explanation:

Given:

Rate at which the woman is walking,\frac{d(w)}{dt} = 3 ft/sec

Rate at which the man is walking,\frac{d(m)}{dt} = 2 ft/sec

Collective rate of both, \frac{d(m+w)}{dt} = 5 ft/sec

Woman starts walking after 5 mins so we have to consider total time traveled by man as (5+15) min  = 20 min

Now,

Distance traveled by man and woman are m and w ft respectively.

⇒ m=2\ ft/sec=2\times \frac{60}{min} \times 20\ min =2400\ ft

⇒ w=3\ ft/sec = 3\times \frac{60}{min} \times 15\ min =2700\  ft

As we see in the diagram (attachment) that it forms a right angled triangle and we have to calculate \frac{dh}{dt} .

Lets calculate h.

Applying Pythagoras formula.

⇒ h^2=(m+w)^2+500^2  

⇒ h=\sqrt{(2400+2700)^2+500^2} = 5124.45

Now differentiating the Pythagoras formula we can calculate the rate at which both of them are moving apart.

Differentiating with respect to time.

⇒ h^2=(m+w)^2+500^2

⇒ 2h\frac{d(h)}{dt}=2(m+w)\frac{d(m+w)}{dt}  + \frac{d(500)}{dt}

⇒ \frac{d(h)}{dt} =\frac{2(m+w)\frac{d(m+w)}{dt} }{2h}                         ...as \frac{d(500)}{dt}= 0

⇒ Plugging the values.

⇒ \frac{d(h)}{dt} =\frac{2(2400+2700)(5)}{2\times 5124.45}                       ...as \frac{d(m+w)}{dt} = 5 ft/sec

⇒ \frac{d(h)}{dt} =4.9761  ft/sec

So the rate from which man and woman moving apart is 4.9761 ft/sec.

3 0
3 years ago
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