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Natalka [10]
3 years ago
13

RQ is tangent to Circle S. Use the diagram below to find the measure of QRS.

Mathematics
2 answers:
AVprozaik [17]3 years ago
8 0
First answer should be correct ..
slava [35]3 years ago
4 0

Answer: m angle QRS = 90°.

Should be it.. i hope

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Write the sequence of transformations that changes figure ABCD to figure A'B'C'D'.
creativ13 [48]

Answer:

(x-2)(y+1)

Step-by-step explanation:

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Choose the kind(s) of symmetry. (Select all that apply.) the letter (D)
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Answer:Point and line

Step-by-step explanation:

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The lengths of the sides of triangle ABC are represented in terms of the variable m, where m > 6.
Yanka [14]

Answer:

m(C)<m(B)<m(A).

Step-by-step explanation:

1) according to the condition the shortest side is AB, the longest side is BC, the middle is AC. Then

2) the smallest angle is BCA (or C), the middle angle is ABC (or B), the largest angle is BAC (or A).

6 0
2 years ago
A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. The mean is found to be 13.6
dimaraw [331]

Answer:

The confidence interval is  13.4<  \mu < 13.8

Step-by-step explanation:

From the question we are told that

   The sample  mean is \= x  =  13.6

     The standard deviation is \sigma =  1.9

     The sample  size is  n  =  189

given that the confidence level is  85% then the level of significance is mathematically represented as

            \alpha = (100 - 85 )\%

            \alpha  =  0.15

Next we obtain the critical value  of \frac{\alpha }{2} from the normal distribution table  the value  is  

      Z_{\frac{\alpha }{2} } =  1.44

Generally the margin of error is mathematically represented as

        E =  Z_{\frac{\alpha }{2} } *  \frac{\sigma}{\sqrt{n} }

=>     E = 1.44*  \frac{1.9}{\sqrt{189} }

=>     E = 0.1990

The  85%  confidence interval is mathematically represented as  

        \= x  - E <  \mu

=>      13.6- 0.1990 <  \mu <  13.6+ 0.1990

=>      13.4<  \mu < 13.8

           

5 0
3 years ago
The length of a rectangular garden is 5 feet less than 4 times its width. Its area is 359 square feet. Find the length and width
fiasKO [112]

Given parameters:

Area of the rectangular garden  = 359ft²

Unknown:

length and width of the garden  = ?

To find the length and breadth of the garden, we need to define and know that the area of a rectangle is.

 Area of a rectangle  = Length x Breadth

From the problem statement;

 Let w = width of the rectangular garden

        L = length of the garden;

 Now,

          length of a rectangular garden is 5 feet less than 4 times its width

           L = 4w - 5

Now let us substitute this into the equation;

       Area  = L x w

    359 = (4w - 5)w

           4w² - 5w - 359

Using:

          w = -b ± √b² -  4ac  /  2a

 where b  = -5 , a  = 4  and c = -359

  w  =   -(-5)  ± √-5² - 4(4)(-359)  /  2(4)

 w = 5 ± √25 + 5744 / 8

 w =  5 ± 75.9 / 8

 w  = \frac{5 + 75.9}{8}  or \frac{5 - 75.9}{8}

  w  = 10.1ft

 The other solution is not possible it will be a negative value. Width value cannot be negative.

So L = 4w - 5  = 4(10.1) - 5 = 35.5ft

The length and breadth of the rectangular are 35.5ft and 10.1ft respectively.

3 0
3 years ago
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