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trapecia [35]
3 years ago
14

Two similar cones have matching heights and radii whose lengths are in the ratio 7:1 Find the ratio of their surface areas.

Mathematics
1 answer:
goldenfox [79]3 years ago
5 0

Answer:

surface area ratio = 49/1 = 49

Step-by-step explanation:

Two solid figure are similar when they have the same shape and the ratio of their corresponding sides are proportional.

Therefore the ratio of their surface area is the side ratio squared.

For a similar shape the ratio of their surface area is the squared of the scaled factor.

The ratio can be represented as a/b, therefore the surface area ratio can then be represented as (a/b)². Therefore,

7:1 or 7/1

The surface area ratio = (7/1)²

surface area ratio = 49/1 = 49

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The length of a rectangular garden is three feet less than twice it’s width. If the perimeter of the garden is 42 feet, what is
zzz [600]
<h3><u>The length is equal to 13.</u></h3><h3><u>The width is equal to 8.</u></h3>

l = 2w - 3

2l + 2w = 42

Because we have a value for l, we can plug it into the second equation to solve for w.

2(2w - 3) + 2w = 42

Distributive property.

4w - 6 + 2w = 42

Combine like terms.

6w - 6 = 42

Add 6 to both sides.

6w = 48

Divide both sides by 6.

w = 8

Now that we have a value for w, we can solve for the exact value of l.

l = 2(8) - 3

l = 16 - 3

l = 13



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
3 years ago
Make the ratios equal. 9:25 = 36:?
satela [25.4K]

The equivalent ratio of 9:25 is 36:100.

Ratio expresses the degree of proportionality between two or more numbers. It expresses the number of times one number is contained in another number.  

In order to make the ratios equal, the relationship that exists between 9 and 36 has to be determined. 36 is a multiple of 9. It is 9 multiplied by 4. So, in order to make the ratios equal, multiply, 25 by 4.

25 x 4 = 100

To learn more about ratios, please check: brainly.com/question/17995727

7 0
3 years ago
Y=-2x-8 rate of change
Shtirlitz [24]
The rate of change is -2
3 0
3 years ago
Read 2 more answers
PLEASE ANSWER QUICK!
Elena L [17]

Answer:

X=6

see attachment

not all properties listed is needed to solve the question

8 0
3 years ago
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