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Vika [28.1K]
3 years ago
10

Two spheres, one with radius 7 and one with radius 4, are tangent to each other. If P is any point on one sphere and Q is any po

int on the other sphere, what is the maximum possible length of PQ?
Mathematics
1 answer:
zhuklara [117]3 years ago
7 0
The maximum length of PQ = The Diameter of first sphere + the diameter of second sphere = 2×7 + 2×4 = 14 + 8 = 22 ;
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zaharov [31]

Answer:

C.67

Step-by-step explanation:

Use the Pythagorean Theorem to solve this. First find the missing side. 23 squared plus 16 squared. Which equals 785 then you just find the square of that and it is 67.

5 0
4 years ago
Read 2 more answers
I WILL GIVE BRAINLIEST PLEASE HELP (picture)
Blizzard [7]

0.\overline{7}=0.777...\\\\x=0.777...\qquad\text{multiply both sides by 10}\\\\10x=7.777...\\\\\text{Make the difference}\\\\10x-x=7.777...-0.777...\\\\9x=7\qquad\text{divide both sides by 9}\\\\x=\dfrac{7}{9}\\\\Answer:\ \boxed{0.\overline{7}=\dfrac{7}{9}}\\-----------------\\You\ can\ remember\\\\\dfrac{1}{9}=0.\overline{1}\\\\\dfrac{2}{9}=0.\overline{2}\\\\\dfrac{3}{9}=0.\overline{3}\\\\\dfrac{4}{9}=0.\overline{4}\\\vdots\\\\\dfrac{8}{9}=0.\overline{8}

8 0
3 years ago
For his long distance phone service, Boris pays a $7 monthly fee plus 7 cents per minute. Last month, Boris's long distance bill
Allushta [10]
$16.38 - $7 = 9.38 7 cents x 134 = 9.38 so the answer would be 134 minutes or 2h 14 min
6 0
3 years ago
In a certain city, there are about one million eligible voters. A simple random sample of size 10,000 was chosen to study the re
Ronch [10]

Answer:

REQUIRED TEST STATICS IS 35.19

Step-by-step explanation:

total size of sample = 10,000

                                     men                            women

voted                           2777                            3466

did not vote                  1444                             2313

By chi square test we can find the relationship between gender and participation in the election

<em>X^2 = \frac{ N(ad-bc)^2}{(a+c)(b+d)+(a+b)(c+d)}</em>

where

a represent  = 2777, b = 3466, c= 1444, d = 2313, N = 10000

Putting values to get chis square statics

<em>X^2 = \frac{ 10000(2777*2313-3466*1444)^2}{(2777+1444)(3466+2313)+(2777+3466)(1444+2313)}</em>

<em>X^2 = = 35.159</em>

HENCE REQUIRED TEST STATICS IS 35.19

3 0
4 years ago
At the Hardey Fitness Center, the management did a survey of their membership. The average age of the female members was 40 year
faust18 [17]

Answer:

5 / 8

Step-by-step explanation:

Given :

Average age of male = 25

Average age of female = 40

Average age of entire membership = 30

The ratio of female to male students :

Male students : Female students

25 : 40

5 : 8

5/8

8 0
3 years ago
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