if two polygons are similar, what is the length of SR
A. 13
B. 15
C. 28
D. 32​

Answer:

12.4 feet

Step-by-step explanation:

A ladder placed against the wall forms a right angle triangle

Hypotenuse ² = opposite ² + adjacent ²

Hypotenuse = 13 feet

Opposite = 4 feet

Adjacent = x

Hypotenuse ² = opposite ² + adjacent ²

13² = 4² + x²

169 = 16 + x²

169 - 16 = x²

153 = x²

Find the square root of both sides

√153 = √x²

12.369316876852 = x

x = 12.4 feet

Adjacent = x = 12.4 feet

Answer:

B

3r + 3/8=1

Step-by-step explanation:

EDGE

Answer:

b

Step-by-step explanation:

Answer:

35 metres

Step-by-step explanation:

The question states that A runs 25% faster than B. This means that, for every 1 second that B runs, A runs 1.25 second

Assuming that the total length of the race, that we're looking for, is D. Then we can say that B made a total distance of D-7 meters, and A runs D.

time taken by A = [tex]\frac{D}{1.25}[/tex]

time taken by B = [tex]\frac{D-7}{1}[/tex]

equating both together, we have

[tex]\frac{D}{1.25}[/tex] = [tex]\frac{D-7}{1}[/tex]

1.25D  - 8.75 = D

1.25D - D = 8.75

0.25D = 8.75

D = 8.75/0.25

D = 35

If an event occurs 0 times (out of 4, in this case) then it does not occur at least once. So we can find the probability of it not occurring and then subtract that value from 1.

So, what are the chances of it not occurring in 1 trip?

1−.37=.63

What about not occurring in 2 trips?

(1−.37)⋅(1−.37)=.63⋅.63=.3969

Now what about not occurring in 4 trips?

.63^4 = 0.15752961

We must subtract this value from 1

(recall that what we just calculated is the probability of it not occurring, so the probability of it occurring at least once is:

1−0.15752961 = .84247039

TLDR - In 4 trips the chance of a guest catching a cutthroat once in under 4 trips in 0.84.

Answer:

41 square units

Step-by-step explanation:

this polygon can be split into several sub-shapes, for which we can calculate their areas much easier. and then we simply add all the sub-results for the total result.

for me this split would be

1. square CDEF, with F being an additional point at (6,5) : 4 units to the right of C.

2. a right-angled triangle ABF (the same F as for 1.).

the area of a square is the square of a side length.

the side length in 1. is 4.

so, its area is 4×4 = 16 square units.

the area of a right-angled triangle is

a×b/2

with a and b being the sides enclosing the 90 degree angle.

in our case here a = BF = 10, b = FA = 5

so the area of the triangle is 10×5/2 = 25 square units.

so, the total area is 16 + 25 = 41 square units.

Answer:

187

Step-by-step explanation:

Fraction to make topping:

1/4 cups of white ; 2/3 cups of brown

Combined = 1/4 + 2/3 = (3 + 8) /12 = 11/12 cups

Fraction of combined used to top muffin = 1/12

Number of muffins that can be topped per combination made :

11/12 ÷ 1/12 ; 11 /12 * 12 / 1 = 11 muffins

Recall :

Each sugar has 11 1/3 cups

For brown sugar :

34 /3 ÷ 2/3 cups

34 /3 * 3 /2 = 17

For white sugar :

34 /3 * 4 /1 = 45.33

However, the highest amount of combined muffin topping for white sugar will be restricted by the number of brown :

Hence,

11 muffins can be topped from each combined mixture ;

Total muffin that can be topped :

17 * 11 = 187 muffins

Answer:

0.034522 (for decimal)

Step-by-step explanation:

Answer:

First you convert the mixed numbers into improper fraction

[tex]8\frac{3}{8} = \frac{67}{8} \\\\6 \frac{3}{4} = \frac{27}{4}[/tex]

Solution

[tex]A=\frac{\frac{27}{4} + \frac{67}{8} }{2}[/tex]

[tex]A=\frac{\frac{54 + 67}{8} }{2}[/tex]

[tex]A\frac{\frac{121}{8} }{2}[/tex]

[tex]A=\frac{121}{8}[/tex] * [tex]\frac{1}{2}[/tex]

[tex]A= \frac{121}{16}[/tex]

[tex]A= 7 \frac{9}{16}[/tex]

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

it is because when you use a scientific calculator you get 10.09950494

which would be round to 10 because after the decimal the number is 0 below 5 so 10 stays as 10

hope this helps

The best approximation for the value of √102 is: 10.

The square root of 102 is:

√102

=10.09950494

Now if we approximate 10.09950494 it would give us:

Approximation= 10.09950494

Approximation= 10 (Approximately)

Therefore The best approximation for the value of √102 is: 10.

Learn more about  approximation here:https://brainly.com/question/1980606

Answer:

The slope of the line is [tex]m = \frac{3}{5}[/tex] and the equation of the line is [tex]y = \frac{3}{5}\cdot x[/tex].

Step-by-step explanation:

From table we understand that slope of the line is constant, that is, for each change of [tex]x[/tex] there is one and only change in [tex]y[/tex], fulfilling the main characteristic of a line and we can determine the slope for every point of the line by means of the following expression:

[tex]m = \frac{y_{f}-y_{o}}{x_{f}-x_{o}}[/tex] (1)

Where:

[tex]x_{o}, x_{f}[/tex] - Initial and final x-coordinates of the line.

[tex]y_{o}, y_{f}[/tex] - Initial and final y-coordinates of the line.

If we know that [tex](x_{o}, y_{o}) = (0,0)[/tex] and [tex](x_{f},y_{f}) = (8,4.8)[/tex], then the slope of the line is:

[tex]m = \frac{4.8-0}{8-0}[/tex]

[tex]m = \frac{3}{5}[/tex]

From graph we conclude that x-intercept of the line is [tex]b = 0[/tex]. Hence, the equation of the line is [tex]y = \frac{3}{5}\cdot x[/tex] and we proceed to plot the expression with the help of a graphing tool.

Answer:

Mean value of score = 40.167 (Approx.)

Step-by-step explanation:

Given:

Number of students in class = 12

Numbers;

45 , 22, 12,  96, 63,  63, 78 , 12 , 69, 81, 3, 19

Find:

Mean value of score

Computation:

Mean = Sum of all observation / Number of students

Mean value of score = [45 + 22 + 12 +  96 + 63 +  63 + 78  + 12 + 69 + 81 + 3 + 19] / 12

Mean value of score = [482] / 12

Mean value of score = 40.167 (Approx.)

Answer:

false negatives - 2%

false positives - 3%

Step-by-step explanation:

Here is the complete question :

A test to detect an infection gives a positive result 98% of the time when an infection is present. It is 97% accurate when an infection is not present.

% of results will be false negatives, and % of results will be false positives.

False negative means a negative result which in actuality it is positive

False negative = 100% - percent of positive result

100% - 98% = 2%

False positive result means a positive result which in actuality is negative

False positive = 100% - percent of false positive

100 - 97 = 3%

Answer:

Its just a slide 2 up and 3 to the right it seems. It can be a mirror because in never changes the shape. as of rules i dont understand want you need please comment and ill let you know

Step-by-step explanation:

It is not a rotation, a mirror a flip or anything like that i think its only slides.

I didnt se this before every slide counts as 2 so its 4 up and 6 to the right

Answer:

D. TU is a midsegment

Step-by-step explanation:

Answer:

x ≈ 2.8

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan26° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{CD}{DE}[/tex] = [tex]\frac{x}{5.7}[/tex] ( multiply both sides by 5.7 )

5.7 × tan26° = x , then

x ≈ 2.8 ( to the nearest tenth )

Answer:

2.8

Step-by-step explanation:

1. c = a · sin(C) / sin(A)  

This is the equation to find x. Let's see what we have.

c = x

a = 5.7

C = 26

A = ?

Let's find A. We know B is 90 and C is 26.  Triangle Sum Theorem time!

2. 180 = 90 + 26 + A

180 = 116 + A

64 = A

A = 64

We found A. Let's see what we have now!

c = x

a = 5.7

C = 26

A = 64

Let's solve the equation now.

3. x = 5.7 · sin26 / sin64

Let's use a calcalator to find the answer.

4. 2.78008 =  5.7 · sin26 / sin64

5.7 · sin26 / sin64 =  2.78008

We should round this to the nearest tenth. 7 is in the tenth place. Though 8 is behind 7. 8 is greater than 4 which means 7 must be rounded up.

5. 2.8 is the answer.

Answer:

c

Step-by-step explanation:

This is a parabola, so it is a quadratic parent function.

Answer:

The image you provided doesnt work

Step-by-step explanation:

Answer:

The answer is 8, take away 8.25 from 210 and then divide it by 23

Answer:

x = 6

Step-by-step explanation:

[tex]\frac{-2}{3}x+9=\frac{4}{3} x-3[/tex]

-2x = -12

x = 6

Answer:

x = 6

Step-by-step explanation:

Answer:

It is -4 :)

Step-by-step explanation:

I just did this lol

Answer:

263

Step-by-step explanation:

424+339=764

1000-764=236

Answer:

[tex]\text{C. }g(x)=(x-5)^2[/tex]

Step-by-step explanation:

The function [tex]y=(x-c)^2[/tex] has a phase shift of [tex]c[/tex] to the parent function [tex]y=x^2[/tex]. Since [tex]g(x)[/tex] has moved to the right 5 units from the parent function [tex]f(x)=x^2[/tex], we're looking for a value of [tex]c=5[/tex].

Therefore, we have:

[tex]g(x)=\boxed{(x-5)^2}[/tex]

Answer:

There isnt a diagram

Step-by-step explanation:

Answer:

54+61

Step-by-step explanation:

54 + 61 = 115

61 - 54 = 7

Answer:

23.6 units

Step-by-step explanation:

If we have a circle of radius R, the perimeter of the arc is given by:

P = 2*pi*R

Now, if we only want to find the length of an arc defined by an angle "a", it will be:

L = (a/2*pi)*2*pi*R = a*R

In this case, we know that DA = 10, so we can think that this is a circle of radius R = 10 units

And for the arc DE, we have the angle:

a = 2.36 rad

replacing these two in the formula, we get:

L = 2.36*10 units = 23.6 units

Answer:

6x-3

Step-by-step explanation:

that is the procedure above

Step-by-step explanation:

5+4X+2x-8

=6x-3

answer is third option