The value of β is:
60º
45º
90º
30º
75º​

The Value Of Is:6045903075

Answers

Answer 1

Answer:

  60°

Step-by-step explanation:

The definition of cosine tells you ...

  cos(β) = 3/6 = 1/2

  β = arccos(1/2) . . . . use the inverse cosine function to find the angle

  β = 60°

_____

The ratio of side lengths in a 30°-60°-90° triangle (one of the "special" triangles), is ...

  1 : √3 : 2

The 2 : 1 ratio of longest to shortest side in this right triangle is a clue that the largest acute angle is 60°. It also tells you that x = √3 times the short side length, so is x = 3√3.


Related Questions

The bus fare in a city is $ 1.75 People who use the bus have the option of purchasing a monthly coupon book for $ 35.00 With the coupon​ book, the fare is reduced to​ $0.50. How many times must someone use the bus so that the total monthly cost without the coupon book is the same as the total monthly cost with the coupon​ book?

Answers

Answer:

28 times

Step-by-step explanation:

Create an equation where x represents the number of times the bus is used:

1.75x = 0.5x + 35

Solve for x:

1.75x = 0.5x + 35

1.25x = 35

x = 28

So, the bus has to be used 28 times for the prices to be the same.

Please help!! Which of the following is a conjugate for 7+i square root 2?

Answers

Its conjugate is

7 - i√2

which expression is equivalent to 23-5

Answers

Answer:

9+9

Step-by-step explanation:

9+9=18

23-5=18

Find the sum of the measures of the interior angles of the polygon. 15-gon A. 2340° B. 2520° C. 2160° D. 1170°

Answers

Answer:

2340

Step-by-step explanation:

Formulae for sum of interior angles is 180(n-2)

Whereby n=number of sides

[tex]180(15 - 2) \\ 180(13) \\ = 2340degrees[/tex]

All of the following are equivalent except
O 4y
O (4)
04.y
O 4+ y

Answers

Answer:

I think it's 4y

Step-by-step explanation:

I think it's 4y is because if y = 0 they all work but 4y which is 0 while all the others are 4

Benito embroiders and sells T-shirts. The graph shows his profit as a function of the number of shirts sold. After selling a certain number of shirts, Benito uses some earnings to buy more materials and then increases the price of the shirts. Which of the following is true? a. The domain of the function is {x | x is a real number greater than or equal to 0}. b. Benito increases the price after selling 50 shirts. c. The x-intercept represents the shirts he has to sell before making a profit. d. The y-intercept represents the cost of one T-shirt.

Answers

Answer:

a. The domain of the function is {x | x is a real number greater than or equal to 0}.

Step-by-step explanation:

The graph shows

1) the domain of the function {x | x is a real number greater than or equal to 0}

The domain of the function of the graph is obtained by the x - values which range from 0-11 . Thus they are equal or greater than zero.

2) the y- intercept shows the profit that is made by selling a certain number of shirts.

3) the x- intercept shows the number of shirts sold

4) Benito increases the price at least after the profit of $25 is made because we see from the graph that there is a loss of $10 if one shirt is sold separately and the dot on the eight appears around $ 25.

Only option a is true.

Graphs are used to show the relationship between related quantities.

From the given options, the true statement is:

c. The x-intercept represents the shirts he has to sell before making a profit.

From the given graph, we have the following observations.

1. The domain of the graph is [tex]x \ge 2[/tex]

The corresponding y-values are negative for x = 0  and 1.

Because the graph represents the profit function, no value of x must correspond to a negative y-value.

Hence, (a) is false

2. It is impossible to say that his price increases, after selling 50 shirts

The y values show profit from shirts; not the price of shirts

Hence, (b) is false

3. The x-intercept indicates when he'll make a profit

The graph crosses the x-axis at x= 2.

This means that, he has to sell at least 2 shirts, before making a profit.

Hence, (c) is true

4. The y-intercept is the cost of 1 shirt

The y values show profit from shirts; not the price of shirts

Hence, (d) is false

Based on the above analysis, we can conclude that (c) is true

Read more about graphs at:

brainly.com/question/10712002

Need some assistance lovely’s

Answers

Answer:

60

Step-by-step explanation:

The sum of the angles of a triangle is 180

x+x+x = 180

3x= 180

Divide by 3

3x/3=180/3

x = 60

Answer:

60

Step-by-step explanation:

sum of measure of interior angles of a triangle is 180

x+x+x=180

3x=180

x=180/3

x=60

Two fair dice are tossed and the number on each die is recorded, e.g. (3,2) indicates the first die had 3 and the second die had a 2. In total, there are 36 (equally likely) outcomes in the sample space. What is the probability the sum of the two dice is 7

Answers

Answer:

[tex]\dfrac{1}{6}[/tex]

Step-by-step explanation:

Given that two fair dice are tossed.

Total outcomes as we toss two dice are given as:

{

(1,1) (1,2) (1,3) (1,4) (1,5) (1,6)

(2,1) (2,2) (2,3) (2,4) (2,5) (2,6)

(3,1) (3,2) (3,3) (3,4) (3,5) (3,6)

(4,1) (4,2) (4,3) (4,4) (4,5) (4,6)

(5,1) (5,2) (5,3) (5,4) (5,5) (5,6)

(6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

}

Where (a, b) represents a is the outcome of the die rolled for the 1st time and b is the outcome of 2nd toss of the die.

Total number of outcomes = 36

The outcomes with sum = 7 are :

{(1, 6), (2, 5), (3, 4) , (4, 3), (5, 2), (1, 6)}

Number of outcomes = 6

Probability of an event E is given as:

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}[/tex]

[tex]P(sum=7) = \dfrac{6}{36}\\\Rightarrow \bold{P(sum=7) = \dfrac{1}{6}}[/tex]

Simplify 5/6i please help

Answers

Answer:

5/6 can´t be simplified

Step-by-step explanation:

Answer:

5i/6

Step-by-step explanation:

[tex]\frac{5}{6}i\\\\\mathrm{Multiply\:fractions}:\quad \:a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}\\=\frac{5i}{6}[/tex]

Your dinner in London cost 82 British pounds. How much
was it in U.S. dollars?


Some one please help me ASAP!!!

Answers

the answer is $108.32

In U.S. dollars, the equivalent money will be $100.74

What is a expression? What is a mathematical equation? What do you mean by domain and range of a function?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.

Given is your dinner in London cost 82 British pounds

Then in U.S. dollars, the equivalent money will be equivalent to -

x = 82 pounds = 82 x 1.2286 = $100.74

x = $100.74

Therefore, in U.S. dollars, the equivalent money will be $100.74

To solve more questions on Equations, Equation Modelling and Expressions visit the link below -

brainly.com/question/14441381

#SPJ2

find the perimeter and area of each figure below.

Answers

A) Perimeter of Trapezium = 8+5+6+15.5
= 34.5in
Area= 1/2*(a+b)*h
=1/2*(8+15.5)*4
=47in^2

B)Perimeter= 12+6+8.5
=26.5mm

Area=1/2*b*h
=1/2*12*4
=24mm^2

SOS. I'm stuck!! helpppppp

Answers

Answer:

12+x goes to 19

3x+y goes to 25

4y-10 goes to 6

1/2xy goes to 14

x=7 and y=4 all you have to do is substitute for example 12+x substituted it's 12+7 then just do the math. That's it.

1. Ted is 5 years older than Ned. Let n = Ned's age. Then _?_= Ted's age. ​

Answers

Answer:12

Step-by-step explanation:

The number p, the number q, and the product p.q are all the same type of
number. Which type of number could they be?
A negative numbers
B prime numbers
complex numbers
rational numbers

Answers

Answer:

rational numbers

Step-by-step explanation:

They cannot be negative numbers because the product of two negative numbers is positive.

They cannot be prime numbers because the product of two prime numbers is not a prime number.

The product of two complex numbers can be a complex number, but it may also be a real number.

The product of two rational numbers is always rational.

Answer: rational numbers

Which point lies on the line with point-slope equation y - 3 = 4(x + 7)?

A.
(7, 3)

B.
(7, -3)

C.
(-7, -3)

D.
(-7, 3)

Answers

Answer:

D. (-7, 3)

Step-by-step explanation:

The standard form of a point slope equation of a line is expressed as shown;

y-y₀ = m(x-x₀) where;

m is the slope of the line

(x₀, y₀) is the coordinate of the point that lies in the line.

Comparing the standard equation given with the equation in question

y - 3 = 4(x + 7) to get the point on the line we will have;

y₀  = 3 and -x₀ = 7

for -x₀ = 7;

multiply both sides with a minus sign

-(-x₀) = -7

x₀ = -7

Hence the coordinate of the point required (x₀, y₀) is (-7, 3).

The following equation:
C= 312 + 19900
gives the total cost, in dollars, to produce a units of a product at a factory. If the monthly operating
budget of the factor is $35400, how many units can be produced there in that month?
Answer: In that month,
units can be produced for $35400.
Enter an integer or decimal number (more..]
Question Help: D Video
Submit Question

Answers

Answer:

49.68

Step-by-step explanation:

you would just plug in 35400 for y so  you get 35400=312x+19900 and then you would subtract 19900 from both sides so you get 15500 and then divide that by 312 which is 49.68

FIRST TO ANSWER GETS BRAINLIEST
A train journey is supposed to last 2.5 hours. The train leaves the station 15 minutes late and stops at another station for an extra 20 minutes. How long did the entire journey take? FIRST TO ANSWER GETS BRAINLIEST!

Answers

Answer:

12.5

Step-by-step explanation:

that is to say 20 -15 because it went late =5

then 2.5×5

Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared. n2+n

Answers

Answer:

Perfect square trinomial: [tex]n^2+n+\dfrac{1}{4}[/tex]

Binomial squared: [tex]\left(n+\dfrac{1}{2}\right)^2[/tex].

Step-by-step explanation:

The given expression is [tex]n^2+n.[/tex]

Here coefficient of n is 1.

Now, find square of half of coefficient of n.

[tex]\left(\dfrac{1}{2}\times 1\right)^2=\dfrac{1}{4}[/tex]

Now, add [tex]\dfrac{1}{4}[/tex] in the expression to make it perfect square trinomial.

[tex]n^2+n+\dfrac{1}{4}[/tex]

[tex]\Rightarrow n^2+n+\left(\dfrac{1}{2}\right)^2[/tex]

[tex]\Rightarrow \left(n+\dfrac{1}{2}\right)^2[/tex]      [tex]\because (a+b)^2=a^2+2ab+b^2[/tex]

Therefore, perfect square trinomial is [tex]n^2+n+\dfrac{1}{4}[/tex] and binomial squared is [tex]\left(n+\dfrac{1}{2}\right)^2[/tex].

PLEASE HELP and HURRY!!! I have a few minutes to turn it in

Answers

Answer:

The side of the square is 15m

The side of the triangle is 20m

Step-by-step explanation:

P square = 4s  where s is the side length

P triangle = 3 x where x is the side length

x = s+5

The perimeters are equal

4s = 3x

Replace x with s+5

4s = 3(s+5)

Distribute

4s = 3s+15

Subtract 3s from each side

4s-3s = 15

s = 15

The side of the square is 15

x =s+5

  =15+5

   = 20

The side of the triangle is 20

Answer:

[tex]\Large \boxed{\mathrm{square: 15 \ meters}} \\\\ \Large \boxed{\mathrm{triangle: 20 \ meters}}[/tex]

Step-by-step explanation:

The perimeter of a square is [tex]\sf P=4s[/tex], where s is the side length.

The perimeter of an equilateral triangle is [tex]\sf P=3a[/tex], where a is the side length.

The side length of the equilateral triangle is 5 more than the side length of the square.

[tex]\sf a = s+5[/tex]

The perimeter of the square and equilateral triangle are equal.

[tex]\sf 4s=3(s+5)[/tex]

Expanding brackets.

[tex]\sf 4s=3s+15[/tex]

Subtracting 3s from both sides.

[tex]\sf s=15[/tex]

The side length of the square is 15 meters.

[tex]\sf a=15+5 \\\\\\ a=20[/tex]

The side length of the triangle is 20 meters.

There are 6 fiction books and 8 nonfiction books on a reading list. Your teacher randomly assigns you 4 books to read over summer. What is the probability that you are assigned all nonfiction books?

Answers

Answer:

Step-by-step explanation:

Where is 50−−√+5√ located on a number line? A. between 7 and 8 B. between 8 and 9 C. between 9 and 10 D. between 10 and 11

Answers

Answer:

between 7 and 8

Step-by-step explanation:

The graph of a quadratic function with vertex (-3,2) is shown in the figure below . Find the domain and the range

Answers

Answer:

domain: all realsrange: y ≥ 2

Step-by-step explanation:

The domain of any polynomial function, quadratics included, is "all reals."

The graph opens upward, so the y-value of the vertex is the minimum value of the range: y ≥ 2.

What is the simplified expression for 4 to the 4 power x 4 to the 3 power over 4 to the 5 power

Answers

Answer:

42 or 4^2

hope this helps

Answer:

4^12

Step-by-step explanation:

Anwser The First 4 For ___ Points

Answers

Answer:

1) -2/3

2) 7/60

3) -11/10

4) 37/24

Step-by-step explanation: calculator

Answer:

1.= -2/10 2.298143

step-by-step explanation:

ansver

Answer from: Quest

step-by-step explanation:

x^2 -12x + 36 + y^2 = 36

x^2 + y^2 = 12x

r^2 = 12rcos(theta)

r = 12 cos(theta)

Step-by-step explanation:

Yaneev thinks of a number y. He subtracts three from the number, then doubles it. Then he subtracts three again, and doubles the number again. The result is his original number y. What is y?

Answers

Answer: y=6

Step-by-step explanation:

The given number is y.

According to the question,

Step 1 . subtracts three from the number (y-3), then doubles it

i.e. Final number = 2(y-3)

Step 2 .  subtracts three again i.e. (2(y-3)-3), and doubles the number again

i.e. Final result  = 2(2(y-3)-3)

If the result is his original number y, then

2(2(y-3)-3) =y

⇒ 2(2y-6-3)=y   [ using distributive property]

⇒ 2(2y-9)=y

⇒ 2(2y)-2(9)=y [ using distributive property]

⇒ 4y -18=y

⇒ 4y -y= 18 

⇒ 3y= 18

⇒ y= 6    [Divide both sides by 3]

Hence,  y=6

Answer:

y = 6

Step-by-step explanation:

here, lets plug it into the equation.

((y - 3)2) - 3)2 = y

((6-3)2) - 3)2 = 6

6-3 = 3 * 2 = 6 - 3 = 3 * 2 = 6

you live in the building on the left in the drawing, and a friend lives in the other building. the two of you are having a discussion about the heights of the buildings, and your friend claims that the height of his building is more than 1.50 times the height of yours. to resolve the issue you climb to the roof of your building and estimate that your line of sight to the top edge of the other building makes an angle of 21° above the horizontal, whereas your line of sight to the base of the other building makes an angle of 52° below the horizontal. determine the ratio of the height of the taller building to the height of the shorter building. state whether your friend is right or wrong.

Answers

Answer:

4

Step-by-step explanation:

Which of the following expressions represents the width of the door?
a-(4x+5)- x-x
B-(4x+5)-(2x-3)
C-(4x+5)+(2x-3)
D-(2x-3)- x-x

Answers

Answer:

b

Step-by-step explanation:

Graph the line with slope 1 passing through the point (5,4) .

Answers

Answer:

y=x-1

is the line equation

Step-by-step explanation:

As we know that general equation of line is given by

y=mx + c

m is the slope and c is is y intercept

Know m = 1 and point (x,y) as (5,4)

So plug in the values and solve for c

4=1*(5)+c

c=-1

So equation of line is

y=x-1

cook books have recipes that are designed for 4 people. if a particular recipe in a cook book calls for 3 eggs, how many eggs would you need if you were cooking the recipe for 14 people?

Answers

Answer:

10.5

Step-by-step explanation:

If the recipe is designed for 4 people than you would need 6 eggs for 8 people (8 is twice as many as 4 so you need twice as many eggs.) similarly, 14 is 3.5 times as many as 4 (14/4=3.5) so you would need 3x3.5=10.5 eggs.

Not sure how that works but I hope this helped!

A shirt was originally priced at $60. The store is having a 15% off sale. How much will you pay for the shirt after the discount (not including tax) $________________

Answers

Answer: $51

Step-by-step explanation:

If 15% discount is applied then 85% of the price will be the left to pay.

so 85% * 60   will give you the price of the shirt after the discount.

85% * 60 = 51

Answer:

Step-by-step explanation:51.00$

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