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evablogger [386]
3 years ago
9

True or False? The segments shown below could form a triangle.

Mathematics
1 answer:
dem82 [27]3 years ago
3 0

Answer:

True

Step-by-step explanation:

The rule is that every 2 sides' sum is greater than the other side.

So, let's test it.

9+4>11

9+11>4

11+4>9

it checks out!

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Teachers drive a mini-van. what percentage of the teachers drive a mini-van? (6.5B*) There are 60 teachers at Smith Middle Schoo
tekilochka [14]
20 o/o fndjdndbbbbbndndn
5 0
4 years ago
1. The formula for the velocity of an object is d=v/t, where v is the object, d is the distance traveled, and t is the time the
Arlecino [84]

Answer:

you need to isolate t or time

you need to know distance between sun and earth and velocity of them in order to calculate how long it takes for light to travel from the Sun to Earth

Step-by-step explanation:

t*(d)=(v/t)*t\\td= v\\\\\frac{td}{d} =v/d \\t=v/d

to find time you multiply t to both sides then you cancel t from where velocity is and you get velocity by itself

now you mulipy d to both side to get v over d and time by itself

6 0
3 years ago
Find the exact length of the curve. x=et+e−t, y=5−2t, 0≤t≤2 For a curve given by parametric equations x=f(t) and y=g(t), arc len
Rama09 [41]

The length of a curve <em>C</em> parameterized by a vector function <em>r</em><em>(t)</em> = <em>x(t)</em> i + <em>y(t)</em> j over an interval <em>a</em> ≤ <em>t</em> ≤ <em>b</em> is

\displaystyle\int_C\mathrm ds = \int_a^b \sqrt{\left(\frac{\mathrm dx}{\mathrm dt}\right)^2+\left(\frac{\mathrm dy}{\mathrm dt}\right)^2} \,\mathrm dt

In this case, we have

<em>x(t)</em> = exp(<em>t</em> ) + exp(-<em>t</em> )   ==>   d<em>x</em>/d<em>t</em> = exp(<em>t</em> ) - exp(-<em>t</em> )

<em>y(t)</em> = 5 - 2<em>t</em>   ==>   d<em>y</em>/d<em>t</em> = -2

and [<em>a</em>, <em>b</em>] = [0, 2]. The length of the curve is then

\displaystyle\int_0^2 \sqrt{\left(e^t-e^{-t}\right)^2+(-2)^2} \,\mathrm dt = \int_0^2 \sqrt{e^{2t}-2+e^{-2t}+4}\,\mathrm dt

=\displaystyle\int_0^2 \sqrt{e^{2t}+2+e^{-2t}} \,\mathrm dt

=\displaystyle\int_0^2\sqrt{\left(e^t+e^{-t}\right)^2} \,\mathrm dt

=\displaystyle\int_0^2\left(e^t+e^{-t}\right)\,\mathrm dt

=\left(e^t-e^{-t}\right)\bigg|_0^2 = \left(e^2-e^{-2}\right)-\left(e^0-e^{-0}\right) = \boxed{e^2-\frac1{e^2}}

5 0
3 years ago
What is the difference between the mean and the median of the following distribution?
natulia [17]
The definition of mean, is to add up all the numbers and divide it by how many numbers there are. So, in this case the mean would be 1+1+1+2+2+2+2+3+3+4+4+4+4+5+5+6+7+7+8+8+9 = 86. You would then take 86 and divide that by 21, and you would get 4.0
The definition of median states to find the middle of the numbers. So the median would be 4. 
So you would just take 4 - 4 = 0. 

0 would be correct.
8 0
3 years ago
Read 2 more answers
Question number 1: 5/8 (16b+24) -1/2b<br><br> Question number 2: 3/4 (16/64 + 12a) -9a
Sophie [7]

Answer:

Problem 1. <em>(19/2)b + 15</em>

Problem 2. <em>3/16</em>

Step-by-step explanation:

Question number 1

5/8 (16b+24) -1/2b  =

= (5/8) * (16/1) * b + (5/8) * 24 - (1/2)b

= 10b + 15 - (1/2)b

= (20/2)b - (1/2)b + 15

= (19/2)b + 15

Question number 2

3/4 (16/64 + 12a) -9a =

= (3/4) * (16/64) + (3/4) * 12a - 9a

= (3 * 16)(4 * 64) + (3/4) * (12/1) * a - 9a

= (3 * 1)(4 * 4) + (3 * 12)/(4 * 1) * a - 9a

= 3/16 + (3 * 3)/(1 * 1) * a - 9a

= 3/16 + 9a - 9a

= 3/16

5 0
3 years ago
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