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Step-by-step explanation:

Using SOH CAH TOA

sin#=opp/hyp

sin35=x/20

20sin35=x

x=11.4715

x=11.5

Answer:

1/4

Step-by-step explanation:

The probability that a student has a brother given that they do not have a sister 9/7.

Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given;

[tex]\rm P(E)=\dfrac{Number \ of \ favourable \ events}{Number \ of \ total \ events}\\\\[/tex]

In a class of 22 students, 13 have a brother and 15 have a sister.

There are 3 students who do not have any siblings.

3 students don't have a sibling.

The probability that a student has a brother given that they do not have a sister is;

[tex]\rm P(E)=\dfrac{Number \ of \ favourable \ events}{Number \ of \ total \ events}\\\\ \rm P(E)=\dfrac{13+15-22+3}{22-15}\\\\\rm P(E)=\dfrac{31-22}{7}\\\\ P(E)=\dfrac{9}{7}[/tex]

So, the probability that a student has a brother given that they do not have a sister 9/7.

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Answer:

T = 11.77

18% Tip = 2.12

Total with tip = $13.89

This should be right :)

Lmk how I did!

Answer:

81 ft

Step-by-step explanation:

Answer:

the lowest common factor of 36 and 56 is 1

you can also have 2,4

Answer:

a: 5

b: (0, -2)

c: 3

d: (0, 11)

Step-by-step explanation:

Hope this helps!

Answer : $36

Explanation:

To find the sale price we can set up a proportion. 25/100 = x/48. We keep the 100 and 48 both on the bottom of the fraction since they represent the "whole". x represents the discount off the full price of the dress. To solve this proportion, we cross multiply, yielding 48 * 25 = 100x. Alternatively, if you notice that 25/100 simplifies to 1/4, we can use 1/4 in our proportion instead of 25/100, thus, 1/4 = x/48. Then, cross multiplying, we get 48 = 4x, so x = 12. Then we subtract this discount from the original price yielding 48 – 12 = 36; thus, she paid $36 for the dress.

25% = 25/100

25100=x48

14=x48

(1) * (48) = (4) * (x)

48 = 4x

(48)/4 = (4x)/4

12 = x

The discount is $12.

$48 – $12 = $36

Answer:D 18

Step-by-step explanation:you take 6 and times it by three

Answer:

43% markup.

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

(10x - 20)° + (6x + 8)°= 180°

(Linear pair angles)

(10x - 20 + 6x + 8)°= 180°

(16x - 12)°= 180°

16x - 12 = 180

16x = 180 + 12

16x = 192

x = 192/16

x = 12

Answer:

so x would equal 12

Step-by-step explanation:

(10x - 20)° + (6x + 8)°= 180°

so you are going to want to combine like terms which would be

10x and 6x, and 20,8

10x+6x=16x

20-8=12

16x-12=180

now you want to get 12 on the opposite side of the equal side so you add (since it is negative) 12 to each side

which gets rid of the first 12

16x=180+12

now you can add 180+12

and you get 192

so now we want to get x by itself in order to do that you must divide

you are going to divide by 16 an each side and the 16 cancels out the first 16

16x/16=192/16

x=192/16

and 192 divided by 16 is 12

so you answer is

x=12

Hope this made sense :)

Answer:

Step-by-step explanation:

Two similar triangles.

10/26 = y/13

y = 5

x² = 13² - y² = 144

x = 12

Answer:

E and D

Step-by-step explanation:

Answer:

angle ABE = 55 degrees

Step-by-step explanation:

(3x-8) + (x+14) = 90

4x+6 = 90

4x = 84

x = 21

angle ABE = 3(21)-8 = 55

Answer:

14. non- proportional

15.it will take 88 minutes to add 16 seats.

It will take 104.5 minutes to add 19 seats.

Step-by-step explanation:

Let m represent number of minutes.

We have been given that an assembly line worker at Rob's Bicycle factory adds a seat to a bicycle to a rate of 2 seats in 11 minutes.

We will use proportions to solve our given problem.

To find the time taken to add 16 seats, we will  in our proportion as:

Therefore, it will take 88 minutes to add 16 seats.

To find the time taken to add 19 seats, we will  in our proportion as:

Therefore, it will take 104.5 minutes to add 19 seats

Answer:

The correct amount of force i believe is

f= 40 newton

i got the answer by using the formula below

force = mass x acceleration

f=5kg *8.0 m/s^2

Step-by-step explanation:

Answer:

Attach a picture of the shape for the sides already known...

Step-by-step explanation:

Answer:

In a 45°−45°−90° triangle, the length of the hypotenuse is √2 times the length of a leg. To see why this is so, note that by the Converse of the Pythagorean Theorem , these values make the triangle a right triangle. Note that an isosceles right triangle must be a 45°−45°−90° triangle.

Step-by-step explanation:

Answer: (3,3)

Step-by-step explanation:

Answer:      x = -4y + 1

                           3     3

Step-by-step explanation:

3x + 4y = 1

3x + 4y + -4y = 1 + -4y

3x      -4y + 1

3  =         3

   x = -4y + 1

           3      3

Answer:

1:24

Step-by-step explanation:

Convert inches to feet, 7.25 inches is 0.604 feet.

0.604:14.5 needs to become 1:something, so set up 0.604/14.5 = 1/x

Solve for x now by dividing 14.5 by 0.604. You get 24 for x, so the answer is 1:24 scale!

Answer:

c

Step-by-step explanation:

because are of trapizium =( a+b/2) × h

Answer:

First Blank: 1

Second Blank: -1 (x-3)

Third Blank: -1

Step-by-step explanation:

The expression [tex]\frac{x+3}{3+x}[/tex] is reduced to 1 and the expression [tex]\frac{3-x}{x-3}[/tex] is reduced to -1.

The two given expressions are [tex]\frac{x+3}{3+x}[/tex] and [tex]\frac{3-x}{x-3}[/tex].

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Here,

[tex]\frac{x+3}{3+x}=\frac{x+3}{x+3}=1[/tex]

Now, [tex]\frac{3-x}{x-3}=\frac{-(x-3)}{x-3}=-1[/tex]

Therefore, the expression [tex]\frac{x+3}{3+x}[/tex] is reduced to 1 and the expression [tex]\frac{3-x}{x-3}[/tex] is reduced to -1.

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Answer:

the answer is a tell me if this helps!!

Answer:

80%

Step-by-step explanation: