0.135 written as a fraction is _____.

Both the parts of this question require the use of the "Intersecting Secant-Tangent Theorem".

Part A

The definition of the Intersecting Secant-Tangent Theorem is:

"If a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment."

This, when applied to our case becomes, "The length of the secant RT, times its external segment, ST, equals the square of the tangent segment TU".

Mathematically, it can be written as:

[tex] RT\times ST=(TU)^2 [/tex]

Part B

It is given that RT = 9 in. and ST = 4 in. Thus, it is definitely possible to find the value of the length TU and it can be found using the Intersecting Secant-Tangent Theorem as:

[tex] RT\times ST=(TU)^2 [/tex]

Thus, [tex] (TU)^2=9\times 4=36 [/tex]

[tex] \therefore TU=\sqrt{36}=6 [/tex]

Thus the length of TU=6 inches

Answer:

C

Step-by-step explanation:

The very first term would result in 2 having an exponent in 0 making the equation -3 * 1 which is just -3 and C is the only option.

To further prove this -3 * 2^3 is -24. n is the term that you are looking for. So finding the fourth term would mean you would take 4-1 which is 3 thus making the exponent 3.

Answer:

B.[tex]F(x)=-\mid{x-1}\mid[/tex]

Step-by-step explanation:

We are given that a function

[tex]f(x)=\mid x\mid[/tex]

We have to find absolute value of function when parent function reflected over the x- axis and translated 1 unit to the right.

The transformation rule when the point (x,y) is reflected over x- axis is given by

[tex](x,y)\rightarrow (x,-y)[/tex]

Apply the reflection on function  over x- axis then, we get

[tex]g(x)=-\mid x\mid[/tex]

Transformation rule when the point (x,y) is shifted a units  towards right is given by

[tex](x,y)\rightarrow (x-a,y)[/tex]

When the graph is translated 1 units towards right then , obtained function is given by

[tex]F(x)=-\mid{x-1}\mid[/tex]

The sin 215 degrees is a positive value. (Soh Cah Toa - Sin Cos Tan)

Answer: A positive value

believe; live

The street promotion worker must hand out 150 flyers each hour to make $15.

To determine how many flyers the street promotion worker must hand out each hour to make $15, we need to use the equation:

Number of flyers × Payment per flyer = Total payment

Since the worker wants to make $15 an hour, the equation becomes:

Number of flyers × $0.10 = $15

To solve for the number of flyers, we divide both sides of the equation by $0.10:

Number of flyers = $15 ÷ $0.10

Number of flyers = 150

Therefore, the street promotion worker must hand out 150 flyers each hour to make $15.

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The total number of possible passwords, considering the conditions that no letters or digits can be reused, and only even digits 0-9 can be used, would be 7,893,600.

This is a question of combinations and permutations. Firstly, consider the four letters. There are 26 letters in the English alphabet. Since you have four letters and none of them can be the same, the number of possibilities is 26 * 25 * 24 * 23. Next, consider the two numbers. Since we can only choose even numbers between 0 and 9 (which gives us 5 possible selections), and they cannot be the same, the number of possibilities is 5 * 4. Therefore, to find the total number of possible passwords, you multiply the possibilities for letters and numbers together. So, the number of

possible passwords would be 26 * 25 * 24 * 23 * 5 * 4, which equals to 7,893,600.

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Answer:

The original price of the skirt is $24

Step-by-step explanation:

The question must be 3/4 of their original price. So, I will solve this using 3/4 as 34 is unclear and does not suit the question.

Lets assume that the price of the blouse be = x

Lets say the price of the skirt is = y

Now, given is that 3/4 of the price together for both items is $31.5 0

This means,

[tex]\frac{3}{4}(x+y)=31.50[/tex]  ..... (1)

The original price of the blouse is $18 so, x= 18 .............(2)

Putting x=18 in equation (1)

[tex]\frac{3}{4}(18+y)=31.50[/tex]

[tex]3(18+y)=31.50*4[/tex]

[tex]3y+54=126[/tex]

[tex]3y=72[/tex]

y=24

Hence, the original price of the skirt is = $24.

Check:

Original price of both items = [tex]18+24=42[/tex]

And 3/4 of 42 is [tex]\frac{3}{4}*42= 31.50[/tex]

So, the correct answer is $24.

Answer: He used 38 lemonsssssssssssss

Step-by-step explanation:

Solution:

we are given that

Rectangle M was dilated to form rectangle M’.

we have been asked to find

What ratio is the scale factor?

we can find the required ratio by dividing the corresponding sides of the given rectangles as below:

[tex] Ratio=\frac{6}{4}=\frac{2}{4/3}\\
\\

[/tex]

[tex] Ratio=\frac{3}{2}=\frac{6}{4} \\
\\
\
Ratio=\frac{3}{2}=\frac{3}{2}\\ [/tex]

Hence the required ratio is 3/2.

Answer:(d or 3/2

Step-by-step explanation: I took the test

Answer: The correct option is B.

Explanation:

From the given figure it is noticed that the parent function is,

[tex]f(x)=x^2[/tex]

The graph of f(x) shifts 5 units right.

The transformation is defined as,

[tex]g(x)=f(x+a)+b[/tex]

Where, a shows the horizontal shifts and b shows the vertical shift.

If a<0 then the graph of f(x) shifts right side by a units and if a>0 then the graph of f(x) shifts left side by a units.

If b<0 then the graph of f(x) shifts downward by b units and if b>0 then the graph of f(x) shifts upward by b units.

Since the graph of parent function is shifts only right side by 5 units, therefore

[tex]g(x)=f(x-5)+0[/tex]

Since [tex]f(x)=x^2[/tex]

[tex]g(x)=(x+5)^2[/tex]

Thus, the correct option is B.

The function in option A represents the left shift of f(x) by 5 units.  The option C represents the downward shift of f(x) by 5 units. The option D represents the upward shift of f(x) by 5 units.