If the sin 60° is 3/2
then the cos___=___

Answer:

x = 3 ft

y = 83

Step-by-step explanation:

DEFG ≅ SPQR

So, corresponding part will be congruent

∠D ≅ ∠S   ; ∠E ≅ ∠P ;  ∠F≅ ∠Q  ;  ∠G ≅ ∠R

DE = SP

x = 3 ft

Sum of interior angles = 360

∠D + ∠E + ∠F + ∠G = 360

∠S + (y+3) + ∠Q + (y +1) = 360

107 + y + 3 + 83 + y+1 = 360

194 + 2y = 360

        2y = 360 - 194

        2y = 166

         y = 166/2

        y = 83

Answer:

10ths Place (Decimal)

Step-by-step explanation:

Whole numbers:

The 1 in 19.54 is in the tens place.

The 9 is in the ones place.

Decimals:

The 5 is in the tenths place.

The 4 is in the hundredths place.

Answer:

look below for your answer

Step-by-step explanation:

5 is in the tenth column

i hope i helped you

please mark my answer as brainliest

Answer:

12 cups of salad

Step-by-step explanation:

Let the unknown cups of salad in the mixture be x( unknown cup in 55% mixture)

Thus, we have the following expression that shows the number of salad in the resulting mixture;

4(40%) + x(55%) = (4+x)(50%)

= 0.4(4) + x(0.55) = 0.5(4 + x)

= 1.6 + 0.55x = 0.2 + 0.5x

0.2 -1.6 = 0.55x-0.5x

0.4 = 0.05x

x = 0.4/0.05

x = 8 cups of salad

So the number of salad cups in the resulting mixture = x + 4 = 8 + 4 = 12 cups of salad

Answer:

12

Step-by-step explanation:

yes

Answer:

4pie

Step-by-step explanation:

period = time/number of oscillation

time=4pie

number of oscillation = 1

then

period = 4p/1= 4p

Answer:

b. 4pi

Step-by-step explanation:

Answer:

tan 50 = (51+10)/x where x is the distance of the boat

x = 51.2 m  

Boat is in an unsafe area

Step-by-step explanation:

<3

Answer: x + y = 16. 0.10 x + 0.25 y = 2.95. x + y = 16.

Step-by-step explanation:

You know that there are 16 coins in all, so x + y has to equal 16 (x being dimes and y being quarters) but you also know that whatever compilation of dimes and quarters is equal to $2.95.

Hope this helped you! Feel free to ask any further questions!

The system of equations which represents the number of dimes and quarters that Hamid has are x+y=16 and 0.10x+0.25y=2.95.

Equation is relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It is of many types like linear equation, quadratic equation, cubic equation, etc.

Suppose  the number of dimes be x and the number of quarters be y.

According to question there are 16 coins, so

x+y=16-----1

1 dime=$0.10

1 quarter=$0.25

According to question Hamid has $2,95 ,so

0.10x+0.25y=2.95.

Hence the system which represents the number of dimes and quarters that Hamid has are x+y=16 and 0.10x+0.25y=2.95.

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Answer:

Hay 160 maneras

Step-by-step explanation:

Para calcular de cuántas maneras se puede seleccionar x elementos de un grupo de n elementos podemos usar la siguiente fórmula:

[tex]nCx=\frac{n!}{x!(n-x)!}[/tex]

Si vas a elegir 3 personas de entre 6 matrimonios y dos miembros de la misma pareja no pueden ser elegidos, entonces podemos decir que se está eligiendo 3 matrimonios y en cada matrimonio se está eligiendo un representante.

Entonces, podemos calcular de cuántas maneras se puede escoger 3 matrimonios de los 6, así:

[tex]6C3=\frac{6!}{3!(6-3)!}=20[/tex]

Adicionalmente, para cada uno de los 3 matrimonios hay 2 opciones para ser representantes. Esto significa que hay [tex]2^3[/tex] maneras de escoger representantes en cada una de las 20 formas calculadas anteriormente.

Por lo tanto se puede formar el grupo de 3 personas de 160 maneras diferentes:

[tex]20*2^3=160[/tex]

Hey there! I'm happy to help!

We see that Steve runs 2.5 miles per day and Sam runs 6.5 miles per day. If you add these together, we see that they run 9 miles every day.

We now need to see how many of these 9 mile days fit into this 450 miles. Let's divide 450 by 9 and we will see how many days it will take for them to reach 450 miles combined.

450÷9=50

Therefore, it will take Steve and Sam 50 days to reach 450 miles combined!

Have a wonderful day! :D

Answer:

Step-by-step explanation:

Set up a ratio.

An angle bisector divides the side opposite it in the same ratio as the two sides defining the angle where the vertex and angle bisector meet.

14/6 = 21 / 3x - 12            

Cross multiply

14(3x - 12) = 6*21

Remove the brackets

42x - 168 = 126

Add 168 to both sides

42x = 168 + 126

Combine

42x = 294

Divide by 42

x = 294/42

x = 7                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                          

Answer:

a terminating decimal between –3.14 and –3.15

Step-by-step explanation:

Rational numbers are numbers that can be written as the quotient or fraction of two integers, and this contain a numerator and a denominator which is non-zero number.All rational numbers are real numbers and all integers are real numbers as well.

A natural numbers are the positive integers which is also referred to as non-negative integers, examples include 2, 200, 3, 4, 5, 156 .. ∞. we can say natural numbers are a set of all the whole numbers.

These numbers are enclosed by integers, which comprise some negative numbers such as -18, -9, -183 and so on.

In addition, an integers are also enclosed by rational numbers, which comprises terminating decimals such as 8.34, 3.44,15.7543,4.075421 and so on.

With the given terminating decimal between -3.14 and -3.15, It can be deduced that rational numbers contain integers,since integers also include negative numbers because integer are numbers that is devoid without of any fractional component

Answer:

d

Step-by-step explanation:

The number 3.14159265 produces an irrational number when added to 1/2.

The sum of any rational number and any irrational number will be always an irrational number.

An irrational number is a type of real number which cannot be represented as a simple fraction.

A number that can be represented as the quotient p/q of two integers such that q ≠ 0 is called a rational number.

According to the given question

We have a rational number 1/2.

Since, 0.373737373.... is a rational number because it is recurring and its behavior it known that 37 is repeating.

And we know that when any rational number is added with a rational number it with number we will get always a rational number.

⇒ 0.3737373737... + [tex]\frac{1}{2}[/tex] = rational number.

3.14159265... is an irrational number because its behavior is not known and it is not terminating.

So, when we add 1/2 to 3.14159265.. we get a irrational number.

√16 = 4 is a rational number. And it can be written as [tex]\frac{4}{1}[/tex].

So, [tex]\frac{4}{1} + \frac{1}{2} = \frac{9}{2}[/tex] which is a rational number.

-4/7 is a rational number. And when we add 1/2 to -4/7 we get a rational number.

i.e. [tex]\frac{-4}{7} + \frac{1}{2} = \frac{-1}{14}[/tex] which is rational number.

Hence, the number 3.14159265 produces an irrational number when added to 1/2.

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Answer:

30-60-90 triangles have one short side, one long side, and a hypotenuse.

The ratio between the sides (from short to hypotenuse to long) is 1 : 2 : sqrt(3).

Hope this helps!

Answer:

solution,

In rectangle, the diagonal bisects each other,

BE=ED

[tex]2x + 4 = 7x - 1 \\ or \: 2x - 7x = - 1 - 4 \\ or \: - 5x = - 5 \\ or \: x = \frac{ - 5}{ - 5} \\ x = 1[/tex]

Hope this helps..

Good luck on your assignment..

The answer would be x =7/5 because you would need to multiply everything by two. Then you would add 4+3 and you would end up with 5x = 7. After that, you need to divided both answers by five

Please Mark brainliest

Answer:

The answer is x=7/5

Step-by-step explanation:

because you have to multiply everything by 2 the add 4+3 and you end up with 5x=7 then divide both sides by 5

Answer:

7/9

Step-by-step explanation:

√(49/81)

Distribute the square root to both the numerator and denominator.

√49/√81

Solve the square root.

√49 = 7

√81 = 9

7/9

The solution to the square root of 49 divided by 81 is equal to 7/9.

In Mathematics and Geometry, a quotient is a mathematical expression that is simply used to represent the division of a number (numerator) by another number (denominator).

Based on the information provided above, we can logically deduce that the following mathematical expression would represent the "the quotient for square root of 49 divided by 81;"

Expression: [tex]\sqrt{\frac{49}{81}}= \frac{7}{9}[/tex]

Expression: 7/9

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Answer:

solution,

She starts to work at 7:45 am

She stops the work at 12:30 for lunch.

Before launch, she works 4:15 hours.

And after lunch ,she works 4 hours

Now,

total she works 8 hours 15 minutes.

For each hour,she earn 7.60

[tex]8 \times 7.60[/tex]

=$ 60.8

For another 15 min,she earns $ 1.9

So,

Total earning=60.8+1.9

=$ 62.7

Hope this helps...

Good luck on your assignment...

Answer: -1/1

Step-by-step explanation: The fraction, -1/1 or just -1, passes through the transactional point through the slope of the line, y=3x+5.

Answer:

the degree is 3 and the number of terms is 3 after simplifying

the degree is 9 and the number of terms is 9 after simplifying

the degree is 4 and the number of terms is 2 after simplifying

Answer:

9:30 A.M

Hope this helps! Have a nice day :)

Answer:

Total time they used = 2 hours 45min + 1 hour + 1 hour

= 4 hours 45min

To find the time they started watching

Subtract it from the time they came from playing soccer

that's 2:15pm

After subtracting we get

9:30 am

Hope this helps

Answer:

answers are a and b

picture shown

Answer:

[tex] \frac{2xz + 3xy}{5yz} \: seconds[/tex]

solution,

[tex]time = \frac{distance}{speed} [/tex]

Let race be X meters.

Total time taken:

[tex] \frac{40 \: percent \: of \: x}{y \: metre\: per \: second} + \frac{60 \: percent \: of \: x}{z \: metre \: per \: second} \\ = \frac{40}{100} \times \frac{x}{y} + \frac{60}{100} \times \frac{x}{z} \\ = \frac{2}{5} \times \frac{x}{y} + \frac{3}{5} \times \frac{x}{z} \\ = \frac{1}{5} ( \frac{2x}{y} + \frac{3x}{z} ) \\ = \frac{x}{5} ( \frac{2z + 3y}{yz} ) \\ = \frac{2xz + 3xy}{5yz} \: seconds[/tex]

hope this helps...

Good luck on your assignment...

Answer:

t= 0.2x (2/y + 3/z)

Step-by-step explanation:

Distance:

40% of the race= 0.4x

60% of the race= 0.6x

Speed:

y m/s at first part and z m/s at second part

Time:

time= distance/speed, it also consists on 2 parts due to different speed

t= 0.4x/y + 0.6x/z

or

t= 0.2x (2/y + 3/z) seconds is the answer

6.

[tex]y^2\sqrt[8]{8}[/tex]

Step-by-step explanation:

[tex]\sqrt[8]{8*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y*y}[/tex]

Since there are eight y's in two groups we can take them out which turns into

[tex]y^2\sqrt[8]{8}[/tex]

:)

3.

Problem 3:

We are given the following complex number and I'm assuming we want to simplify it:

[tex]\dfrac{5+i}{6+i}[/tex]

Using the complex arithmetic rule (research about this if you're not familiar with it, it's very helpful):

[tex]=\dfrac{(5\times6+1)+(6-5)i}{6^2+1^2}[/tex]

[tex]=\dfrac{31+i}{37}[/tex]

Simplifying gives us:

[tex]=\dfrac{31}{37}+\dfrac{1}{37}i[/tex]

Problem 6:

You seem to have done this problem correctly

[tex]\sqrt[8]{8y^{16}}[/tex]

Expanding gives us:

[tex]=\sqrt[8]{y^{16}}\times\sqrt[8]{8}[/tex]

[tex]=y^2\sqrt[8]{8}[/tex]

This can't be simplified further as the 8th root of 8 gives us an irrational number

Let me know if you need any clarifications or extra help, thanks!

The current function equation is  Y=1/3|x|

---------------------------

The meaning relative f(x) = is the absolute value and is weighted by a factor 3 vertically.

If a constant (say a) multiplies the function, the parent will be extended vertically.

We have below vertical extension and compression conditions.

A > 1 = > spread vertically

0 < < 1 = > compression vertically

Therefore we will subtract the entire feature by 1/3 for vertical compression by a factor of 3.

The equation for the current function is then Y=1/3|x|

---------------------------

Hope this helps!

Brainliest would be great!

---------------------------

With all care,

07x12!

Answer: G(x)= 3/4 |x|

Step-by-step explanation:

(A.pex)

Answer:

A

Step-by-step explanation:

Trust me on this and I also have a reason.

Divide 2/5 by 6 to get 1/15, then divide 6/15 by 6 to get 1/15, and both of these are simpflied.

Can I also get brainlest, I hope you do well!

The expression equivalent to Martin's expression is A. 6/15 ÷ 6.

Division is simply the opposite operation of multiplication. It is one of the basic mathematical operations where a number is divided into equal parts as that of another number.

The number being divided is called dividend and the number which divides dividend is called divisor. The resulting number after the operation is called quotient.

We have to divide the expression 2/5 ÷ 6.

When a fraction is divided by another number the divisor is change into it's reciprocal and the multiplied to the dividend.

Here dividend = 2/5 and divisor = 6

Reciprocal of 6 = 1/6

So 2/5 ÷ 6 = (2/5) × (1/6) = 2/30 = 1/15

Simplify the numbers in the options.

A. 6/15 ÷ 6 = (6/15) × (1/6) = 1/15

Hence the equivalent expression of 2/5 ÷ 6 is 6/15 ÷ 6.

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Answer: Linear

Step-by-step explanation:

Answer:

(x-4)²+4

Step-by-step explanation:

Answer:

[tex](x-4)^2+4[/tex]

Step-by-step explanation:

[tex]x^2 - 8x + 20\\**********************************\\\frac{8}{2} =( 4 )^2 = 16 \\\\20 - 16 = 4\\**********************************\\x^2 - 8x + 16 + 4\\(x-4)^2+4[/tex]

Answer:

x intercept is when y = 0, so when y is 0, x should be -9 or 8, so 4. is the only that satisfies it, therefore (-9,0)

Step-by-step explanation:

Follow me at "btracta"  on insta and we can talk

What's your instagram then?

Yes 80 followers following 10 is me

A correct option is an option (d)

The given expression is,

[tex](\sqrt{6x^2}+4\sqrt{8x^3})(\sqrt{9x}-x\sqrt{5x^5} )[/tex]

Now, simplifying the given expression as,

[tex](\sqrt{6x^2}+4\sqrt{8x^3})(\sqrt{9x}-x\sqrt{5x^5} )=(x\sqrt{6}-8\sqrt{2}x\sqrt{x} )(3\sqrt{x} -x\sqrt{5x^5}) \\ = (x\sqrt{6}+8x\sqrt{2x} )(3\sqrt{x} -x^3\sqrt{5x} )\\=3x\sqrt{6x} -x^4\sqrt{30x}+24x^2\sqrt{2x} -8x^5\sqrt{10x}[/tex]

So, the correct option is an option (d).

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Answer:

a function, it passes the vertical line test

Step-by-step explanation:

Answer:

Function

Step-by-step explanation:

This is a function because when you do the line test there are no 2 points on the same line. The line test is when you have a bunch of lines going up and down to see if more then one point is on the same line if so it is not a function. When only one point lays on each line then it is a function.

Answer:

The correct options are;

A. 120

B. 34

Step-by-step explanation:

The given parameters are;

Required to find how many of the permutations of 1, 2, 3, 4, 5, 6, have 1, 2, 3 arranged one after the other in the given order

Requirement to arrange 6 digits, 1, 2, 3, 4, 5, 6 in the order such that 1, 2, and 3 always appear in turn, they are as follows

When the first digit is 1, and the 2nd digit is 2 the number of ways of selecting the other  digits is 24

Arrangement,                                              Number of ways

1, 2, 3, 4, 5, 6,                                               24

1, 4, 2,                                                            18

1, 4, 5, 2,                                                        12

1, 4, 5, 6, 2,                                                     6

4, 1, 2,                                                             18

4, 1, 5, 2,                                                         12

4, 1, 5, 6,                                                         6

4, 5, 1, 2,                                                         12

4, 5, 1, 4, 2                                                      6

4, 6, 5,                                                            6

Total = 24 + 18 + 12 + 6 + 18 + 12 + 6 + 12 + 6 + 6 = 120 ways

The correct option is A. 120

2. The dimensions of the original rectangle = L by W

The dimensions of the lager rectangle = 1.5·L by 2·W

1.5·L × 2·W = 30

Given that L > W

∴ L×W = 30/(1.5 × 2) = 30/3 = 10

The possible integers that have a product of 10 are;

1 × 10 and 5 × 2

Therefore, since L > W, The dimensions of the larger rectangle are either 15 by 2 or 7.5 by 4

Which gives the perimeters as 2*(15 + 2) = 34 or 2*(7.5 + 4) = 23

Therefore, the largest possible rectangle is 34

The correct option is B. 34.

Answer:

The correct options are;

A. 120

B. 34

Step-by-step explanation:

The given parameters are;

Required to find how many of the permutations of 1, 2, 3, 4, 5, 6, have 1, 2, 3 arranged one after the other in the given order

Requirement to arrange 6 digits, 1, 2, 3, 4, 5, 6 in the order such that 1, 2, and 3 always appear in turn, they are as follows

When the first digit is 1, and the 2nd digit is 2 the number of ways of selecting the other  digits is 24

Arrangement,                                              Number of ways

1, 2, 3, 4, 5, 6,                                               24

1, 4, 2,                                                            18

1, 4, 5, 2,                                                        12

1, 4, 5, 6, 2,                                                     6

4, 1, 2,                                                             18

4, 1, 5, 2,                                                         12

4, 1, 5, 6,                                                         6

4, 5, 1, 2,                                                         12

4, 5, 1, 4, 2                                                      6

4, 6, 5,                                                            6

Total = 24 + 18 + 12 + 6 + 18 + 12 + 6 + 12 + 6 + 6 = 120 ways

The correct option is A. 120

2. The dimensions of the original rectangle = L by W

The dimensions of the lager rectangle = 1.5·L by 2·W

1.5·L × 2·W = 30

Given that L > W

∴ L×W = 30/(1.5 × 2) = 30/3 = 10

The possible integers that have a product of 10 are;

1 × 10 and 5 × 2

Therefore, since L > W, The dimensions of the larger rectangle are either 15 by 2 or 7.5 by 4

Which gives the perimeters as 2*(15 + 2) = 34 or 2*(7.5 + 4) = 23

Therefore, the largest possible rectangle is 34

The correct option is B. 34.