Why does sin54°≈0.809≈cos36° in a right triangle?

A
54° and 36° are complementary angles in the same right triangle. sin54° is the ratio of the opposite leg and the hypotenuse and cos36° is the ratio of the adjacent leg and the hypotenuse. In this triangle, the opposite leg of 54° and the adjacent leg of 36° are the same leg in the triangle.

B
54° and 36° are complementary angles in the same right triangle. sin54° is the ratio of the adjacent leg and the hypotenuse and cos36° is the ratio of the opposite leg and the hypotenuse. In this triangle, the adjacent leg of 54° and the opposite leg of 36° are the same leg in the triangle.

C
54° and 36° are supplementary in the same right triangle. sin54° is the ratio of the opposite leg and the hypotenuse and cos36° is the ratio of the adjacent leg and the hypotenuse. In this triangle, the opposite leg of 54° and adjacent leg of 36° are the same leg in the triangle.

D
54° and 36° are supplementary in the same right triangle. sin54° is the ratio of the adjacent leg and the hypotenuse and cos36° is the ratio of the opposite leg and the hypotenuse. In this triangle, the adjacent leg of 54° and opposite leg of 36° are the same leg in the triangle.

Answer:

2.59

Step-by-step explanation:

Answer:

$0.05

Step-by-step explanation:

because he payed half of his sisters and it was $3.45 and plus his was $9.95 so he  got $0.05 back

Answer: The sale price is $36.

Step-by-step explanation:

40% ÷ 100 = 0.4

0.4 × $60 = $24

$60 - $24 = $36

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

If there is an off of 40% on an item that cost $60.

The regular price of the item is $48.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Required percentage value = a

total value = b

Percentage = a/b x 100

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

105 = 10/100 = 1/10

Example:

50% of 40 is 20.

50/100 x 40 = 20

25% of 100 is 25.

25/100 x 100 = 25.

We have,

Regular price = $60

Off = 40%

Sale price:

= 60 - (40% of 60)

= 60 - (40/100 x 60)

= 60 - (2/5 x 60)

= 60 - (2 x 12)

= 60 - 24

= $48

Thus.

If there is an off of 40% on an item that cost $60.

The regular price of the item is $48.

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The answer is $25.44. You need to add the cost of the shirt and the tax together for the answer. The cost of the shirt is $24 and the tax of it is $1.44. So $24 + $1.44 = $25.44.

Answer:

Step-by-step explanation:

total cost of shirt = $24 x 1.06

                            = $25.44

Answer: -3 , 3

Step-by-step explanation:

thank me later;)

Answer: 8.55 feet

Step-by-step explanation:

We should equal the average depth to 1, so if it raises 3%, it raises 0.03. Simply add the original (1) plus what it rose (0.03) and multiply the original by that, so 8.3 × 1.03 = new depth. The result is 8.549 feets.

Answer:

91

Step-by-step explanation:

Sum of the middle two numbers is ''182'' for 4 consecutive even number.

The process of combining or adding two or more numbers is called the Addition.

We have to given that;

Sum of 4 consecutive even numbers = 364

Let 4 consecutive even numbers are,

⇒ (x - 2), x, (x + 2), (x + 4)

So, We can formulate;

⇒ (x - 2) + x + (x + 2) + (x + 4) = 364

Solve for x;

⇒ 4x + 4 = 364

⇒ 4x = 364 - 4

⇒ 4x = 360

⇒ x = 90

Hence, The two middle numbers are,

⇒ (x) = 90

⇒ (x + 2) = 90 + 2

              = 92

So, Sum of two middle numbers = 90 + 92

                                                  = 182

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The complete question is this,

The sum of 4 consecutive even numbers is 364. What is the sum of the middle two numbers?

Answer:

the answer is y=10

Answer:

0.45

Step-by-step explanation:

Divide 9 by 20.

Answer:

P = 7/3 and q = 0

Step-by-step explanation:

The given parameters are;

The endpoints of the segment are, (3, -4) and (1, 2)

The points that trisect the given points are P and Q with coordinates (p, -2) and (5/3, q) respectively

Therefore, we have;

The first point of the trisection cuts 1/3 of the length from one point and the second point of the trisection cuts 2/3 of the length from the same point

The coordinates of P or Q = (3 - (3 - 1)/3, -4 - (-4 - 2)/3) = (7/3 , -2)

Therefore, given that the y-coordinate value of the derived point coincides with the y-coordinate value of the point P, (p, -2) and there is only one point with x = -2 on the line, we have that the coordinate of the point P is (p, -2) = (7/3 , -2)

∴ P = 7/3

Similarly we have the second point of the trisection, Q, given as follows;

We are already given the x-coordinate value of the point Q as the 5/3 in (5/3, q)

Point Q = (5/3, q) = (3 - 2×(3 - 1)/3, -4 - 2×(-4 - 2)/3) = (5/3 , 0)

Point Q = (5/3, q) = (5/3 , 0)

∴ q = 0.

Answer:

y = 2/5x + 39/5

Step-by-step explanation:

point slope form is y = mx + b

so far we have y = 2/5x + b

m is slope which is given. We need to find b which is y-intercept.

They give us the point (-2,7). We can plug this into the equation to find b.

7 = 2/5(-2) + b

7 = -4/5 + b

b = 39/5

The equation now looks like y = 2/5x + 39/5

Answer:

4 dollars per week

Step-by-step explanation:

Answer:

4.99 divided by 18

0.277222222

Rounded to $0.28

Answer: Don't come at me if I'm wrong, but I believe it's 40 laps.

Step-by-step explanation:

First, you need to figure out how many laps James runs in 1 minute and you can do this by dividing the number of laps and minutes (8 laps/14 minutes). This should give you 4/7 laps/minute.

Next, you figure out how many minutes 1 hour and 10 minutes is (just to make things easier) 1 hour and 10 minutes = 70 minutes

Then, you multiple 4/7 and 70 and you get 40 laps.

Answer:

40 laps

Step-by-step explanation:

I just put this into a proportion

so basically i just did 8/14 = ?/70

Then i just worked it like any other problem

8 x 70 then divide 14 and i got 40.

so James ran 40 laps in one hour and tens minutes

NOTE that i turned one hour and ten minutes into minutes

pls mark brainleist

I'd go back through the lesson and take notes of steps in the last pages they give the review of the lesson, help full and a time saver. other than that I would try to write down all definitions and words listed in the module, but if you want to have a complete list of every thing go to the home page and get the guided notes, you can fill them out when looking back at the lesson.

if you have a short time to gather notes just go through and right down what you can, you can always keep the glossary open when doing a DBA. hope anyone who see's this does well :)

sorry I couldn't help much i was unaware of the course you are taking

Answer:

40 degrees

Step-by-step explanation:

We need to find angle 3

Since angle 2 and angle 4 are vertical angles, they will be congruent

To solve for x we can make the following equation:

x+70=2x

x=70

In this problem angles 2 and 3 are supplementary (they add to 180)

Angle 2 is 140 degrees

We can now make the following equation to find angle 3 using measures addition postulate

let angle 3 be x

180-140=x

The 140 is angle 2

x=40

Answer: 500 chicken feed and 200 careful calculators

Step-by-step explanation:

2x+3y=1,600

40x+50y=30,000

those are your first two equations

your first matrix equation for A is 2, 3,40,50 and B is 1,600 and 30,000 when you enter those in your calculator and 500 and 200 should be your result.

a) The system of equations are 2x + 3y = 1600 and 40x + 50y = 30000

b) The matrix equations are solved

c) The solution to the system of equations is

The number of chicken feed = 500

The number of careful calculators = 200

The product of two matrices A and B is defined if the number of columns of A is equal to the number of rows of B. The first matrix must have the same number of columns as the second matrix has rows. The number of rows of the resulting matrix equals the number of rows of the first matrix, and the number of columns of the resulting matrix equals the number of columns of the second matrix

Given data ,

Let the number of chicken feed be represented as x

Let the number of careful calculators be y

Now , the equation will be

Charlie's Chicken Feed containers weigh 40 pounds and are 2 cubic feet in volume

And , Careful Calculators containers weigh 50 pounds and are 3 cubic feet in volume

Substituting the values in the matrices , we get

[tex]\left[\begin{array}{ccc}2 &3 \\ 40 &50 \\\end{array}\right] * \left[\begin{array}{ccc}x\\y\\\end{array}\right]= \left[\begin{array}{ccc}1600\\30000\\\end{array}\right][/tex]

On simplifying the matrix equation , we get

2x + 3y = 1600   be equation (1)

40x + 50y = 30000   be equation (2)

Now , multiply equation (1) by 20 , we get

40x + 60y = 32000   be equation (3)

Subtracting equation (2) from equation (3) , we get

10y = 2000

Divide by 10 on both sides of the equation , we get

y = 200 careful calculators

Substituting the value of y in equation (1) , we get

2x + 3 ( 200 ) = 1600

2x + 600 = 1600

Subtracting 600 on both sides of the equation , we get

2x = 1000

Divide by 2 on both sides of the equation , we get

x = 500 chicken feeds

Therefore , the value of x and y are 500 and 200 respectively

Hence , the system of matrix equations are solved

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Answer: easy x=4

Step-by-step explanation:

have a great thanksgiving

Answer:

The answer will be X=4

Step-by-step explanation: I know this because I just got done learning this stuff.

Answer: 7/16

Step-by-step explanation:

Distance of the relay race = 1 3/4 miles

Number of runners for the relay team = 4 runners

Distance to be run by each runner will be:

= Distance of the relay race / Number of runners

= 1 3/4 ÷ 4

= 7/4 ÷ 4

= 7/4 × 1/4

= 7/16

Each runner will run 7/16 miles

Answer:

2 3/4 = 11/4 :)

Step-by-step explanation:

Whole number times denominator then add the numerator!

Hope this helps, marks as brainliest please!

Answer:

I think this is answer:

0.113-1.001-1.101

Step-by-step explanation:

Answer:  [tex](x,y) \to (x+3, y-5)[/tex]

The x turning into x+3 means she moves 3 seats to the right

The y turning into y-5 means she moves 5 rows down.

Answer:

C

Step-by-step explanation:

Answer:

C i think

Step-by-step explanation:

Answer:

a. y = -x + 7

Step-by-step explanation:

The line with equation y = x - 5 has slope = 1.

A perpendicular to a line has the opposite reciprocal slope of the line, so a perpendicular to the given line has slope -1.

y = -x + b

To find the value of b, we plug in the given point for x and y and solve for b.

y = -x + b

2 = -5 + b

b = 7

y = -x + 7

Answer: a. y = -x + 7

Answer:

Y= -1/3x + 8/3

Step-by-step explanation:

Answer: A( – 4 + 2x = 6x – 4= x=0

Step-by-step explanation:  Solve  :    -4x = 0  

Multiply both sides of the equation by (-1) :  4x = 0

Divide both sides of the equation by 4:

                    x = 0