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postnew [5]
2 years ago
15

Please help! I will mark as brainliest IF answer is right. <3

Mathematics
1 answer:
svlad2 [7]2 years ago
4 0

Answer:

hello see my questions and come please

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In the formula 1/3 π r*2 •h, if r is doubled and h is divided by 3, what is the ratio of new value of the formula to the origina
Maru [420]

\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=\stackrel{doubled}{2r}\\ h=\stackrel{\textit{divided by 3}}{\frac{h}{3}} \end{cases}\implies V=\cfrac{\pi (2r)^2\left( \frac{h}{3} \right)}{3} \\\\\\ V=\cfrac{\pi (2^2r^2)\left( \frac{h}{3} \right)}{3}\implies V=\cfrac{~~\frac{4\pi r^2 h}{3}~~}{3}\implies V=\cfrac{4\pi r^2 h}{3\cdot 3}\implies \stackrel{\frac{4}{3}\textit{ of the original}}{V=\cfrac{4}{3}\cdot \cfrac{\pi r^2 h}{3}}

3 0
3 years ago
PLEASE HURRY
mina [271]

Answer:

X ≥ 3

Step-by-step explanation:

Let the number of grapes you'll buy be X, you need to buy at leaF 3 pounds so:

X ≥ 3

Answered by Gauthmath

5 0
3 years ago
Please assist me with these problems using the 45-45-90 relationship triangles​
TiliK225 [7]

Answer:

see below

Step-by-step explanation:

side opposite 90 angle = x \sqrt{2}

sides opposite 45 angle = x

the multiplication and division by  \sqrt{2} should be self explanatory

1. x = 5, y = 5

2. v = 10, u = 10

3. x = \sqrt{10}, y = \sqrt{5}

4. m = 5, n = \frac{5\sqrt{2} }{2}

5. a = \frac{3\sqrt{2} }{2}, b =  \frac{3\sqrt{2} }{2}

6. a = \frac{3\sqrt{2} }{2}, b =  \frac{3\sqrt{2} }{2}

5 0
3 years ago
Suppose calls are arriving at a telephone exchange at an average rate of one per second, according to a Poisson arrival process.
antoniya [11.8K]

Answer:

Explanation has been given below

Step-by-step explanation:                    

a) inter arrival times are exponentially distributed with mean 1/n , where n = rate = 1/sec.                                                                              

  probability distribution function is F(t)=n*exp(-n*t).  

reference to any kth packet and the (k-1)th packet

the answer is = integration of F(t).dt with limits 0 to 2 = 1 - exp(-2*n) = 1 - exp(-2)  

b)  t=5 , P(q) = exp(-5)*(5)^q/factorial(q)  

probability of fourth call within t=5 seconds is =  

that is P(4)   P(5)   ......  = 1 - ( P(0)   P(1)   P(2)   P(3) ) ;  put the values and get the answer.  

c) number of calls/rate =  4/n = 4 seconds

5 0
3 years ago
Can someone please please help me?? :(
salantis [7]

Answer:

-60 3/4m

Step-by-step explanation:

The diver first dives down 50 1/4m, which is represented by the -50 1/4m. He then descends another 10 1/2m down. So -50 1/4m - 10 1/2m.

-50-10=-60

-(1/4)-(1/2)= (1/4)+(1/2)

(1/4+1/2)=(2/8+4/8) you can only add with the same denominators.

=6/8 (simplifies down to 3/4)

8 0
3 years ago
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