Which of the following statements represent the relationship between the sine and cosine of complementary angles? Select all that apply

Step-by-step explanation:

[tex] \sqrt{3} is \: between1.7and1.8[/tex]

Answer:

D. 8

Step-by-step explanation:

Given:

A(4, 4)

B(8, 4)

C(12, 0)

Midsegment length = ½((Bx - Ax) + (Cx - 0))

Where,

Ax = 4

Bx = 8

Cx = 12

Substitute

Midsegment length = ½((8 - 4) + (12 - 0))

= ½(4 + 12)

= ½(16)

Midsegment length = 8

Answer:

24cm

Step-by-step explanation:

The area of the rectangle is length × breadth. You already know the area and the breadth, so you can find the length.

288cm² = length × 12cm

length = 288cm² ÷ 12cm

           = 24cm

Answer:

25 questions,

$18.75

Step-by-step explanation:

Remember, to change percents to decimals, divide the number by 100 and remove the parentheses.

1. 84%, or 21 questions of Roy's test were correct.

Let's set the number of questions on the test as "x". We can then write this equation:

84% * x = 21

Simplify.

0.84 * x = 21

Divide both sides by 0.84

x = 25

There were 25 questions on the test.

2. Cheesecake Factory question

We need to find 15% of 125.

15% * 125 =

0.15 * 125 =

18.75

They need to leave a $18.75 tip.

I hope this helps! Feel free to ask any questions!

Answer:

2000

Step-by-step explanation:

1 kilogram is 100 grams therefore 2 kilo grams is equal to 2000 grams

The word kilo means thousand in Greek and i think French

:)

Answer:

2,000 grams :)

Answer:

The correct answer is B.

Step-by-step explanation:

Since Chandler, Jamal, Allison, and Qi are given the following problem: "In 1982, Wayne Gretsky set a record for the greatest number of hockey goals in one season with 92 goals. If a player has scored 60 goals this season and averages 2 goals per game, how many additional games must he play to break the record? ", And each student writes an inequality to represent the situation:

Chandler wrote 60 + 2g ≥ 92

Jamal wrote 60 + 2g> 92

Allison wrote 60 + 2g <92

Qi wrote 60 + 2g ≤ 92

To determine whose inequality is correct, the following calculation must be performed:

92 - 60 = 32

32/2 = 16

Chandler: 60 + 2x16 ≥ 92

Thus, Chandler wrote the correct option.

Answer:

Multiply the second equation by 2

Step-by-step explanation:

Given

[tex]4x + 3y = 8[/tex]

[tex]2x + 5y =12[/tex]

Required

Get matching coefficient for elimination

[tex]4x + 3y = 8[/tex]

[tex]2x + 5y =12[/tex]

The coefficient of x in both expressions are factors.

So, we can multiply the second equation by 2 to get the coefficient of x in the first.

i.e.

[tex]2 * (2x + 5y = 12)[/tex]

[tex]4x + 10y = 24[/tex]

So, the system becomes:

[tex]4x + 3y = 8[/tex]

[tex]4x + 10y = 24[/tex]

Now, x can be eliminated

Answer:

A. x=54 And

B. x= 89

these numbers are less then hundred.

< this sign prove that what is the less number of given question.

Answer:11

Step-by-step explanation:smart

9514 1404 393

Answer:

  C  y = -5x +6

Step-by-step explanation:

It often works well to try the answer choices and see what works.

Using the first point, we find ...

  A y = -1/5(-2) +6 ≠ 16

  B y = 6(-2) -1/5 ≠ 16

  C y = -5(-2) +6 = 16 . . . . . this equation works

  D y = 6(-2) -5 ≠ 16

__

You can also go to the trouble to determine the equation. The slope can be found using the formula ...

  m = (y2 -y1)/(x2 -x1)

  m = (11 -16)/(-1 -(-2)) = -5/1 = -5 . . . . . tells you C is correct

The y-intercept can be found from ...

  b = y -mx

  b = 16 -(-5)(-2) = 16 -10 = 6

Then the equation is ...

  y = mx + b

  y = -5x +6 . . . . . matches choice C

Answer:

5 petals per purple orchid

Step-by-step explanation:

because if they all have the same amount of petals then you divide the total petals (50) by the number of orchids (10) and get the (5) orchid petals per purple orchid.

Answer:

a) (-9, 4)

b) (0, 0)

c) No

Step-by-step explanation:

Answer:

Step-by-step explanation:

radius r = 1.5 in

slant height ℓ = 6 in

lateral area LA = πrℓ

                     = π(1.5)(1.5)

                     = 2.25π

                  ≅ 7.07 in²

base area BA = πr²

                    = π1.5²

                  ≅ 7.07 in²

surface area SA = LA + BA

                       = 7.07 + 7.07

                  ≅ 14.14 in²

Answer:

Move the graph 5 units left, 3 units down, with a slope of -4/5

Step-by-step explanation:

inside parenthesis is the opposite so instead of 5 units right its 5 units left

and the 3 outside the parenthesis stays as is moving the graph down

and the -4/5 represents the slope of the function

Answer:

29.3

Step-by-step explanation:

Sin(49)/5.4 = Sin(S)/3.5

Cross multiply.

0.4891636168

Sin^-1(0.4891636168) = 29.28562335

Round to nearest tenth.

29.3

Answer:

64 ft²

Step-by-step explanation:

Given

Length of a square (L) = 8 ft

Area of the square is

= L²

= 8²

= 64 ft²

Hope it will help :)❤

Answer:

3/2 or 1.5 or 1 1/2

Step-by-step explanation:

Answer:

Steps:

12t+3 = 21

12t = 21-3

12t = 18

t = 18/12

t = 3/2

Answer:

1/5

Step-by-step explanation:

3/5 * 1/3  ==  3/15 or 1/5

Answer:

1/3 I believe I could be wrong

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

1/5

Step-by-step explanation:

After spending 2/5 of her money on a bag, she has 3/5 of the original amount of money left. As she gave 2/3 of the remaining amount of money to her sister, she gave 2/5 of the original amount of money to her sister (3/5 × 2/3 = 2/5). Therefore, there's only 1/5 (1 - 2/5 - 2/5 = 1/5) of the original amount of money left in her bag.

Answer:

A.

Step-by-step explanation:

took test

Answer:

x = 9

Step-by-step explanation:

[tex]a^{2} = c^{2} - b^{2}[/tex]

[tex]a^{2} = 15^{2} - 12^{2}[/tex]

[tex]a^{2} = 225 - 144[/tex]

[tex]a^{2} = 81[/tex]

[tex]\sqrt{a^2} = \sqrt{81}[/tex]

[tex]a = 9[/tex]

Answer:

2.5 mg

Step-by-step explanation:

Given the data:

23 24 23 29 28 26 27 28 26

The sample standard deviation, s

s = sqrt[Σ(x - mean)²] ÷ (n - 1)

Mean, m = ΣX / n

n = 9

Mean = 234 /9 = 26

Using a calculator :

s = 2.236

The margin of error, MOE

MOE = Tcritical * s/sqrt(n)

Tcritical at df = (n-1) = 9-1 = 8 , α = 0.01 = 3.35536

MOE = 3.35536 * 2.236/sqrt(9)

MOE = 3.35536 * 2.236/3

MOE = 3.35536 * 0.7453333

MOE = 2.50086

MOE = 2.5

Answer:

45-degrees

Step-by-step explanation:

The triangle is a 90-degree triangle

Triangles = 180-degrees

90 + 45 + 45 = 180

Answer:(9,2)

Step-by-step explanation:

Answer:

The building's shadow is 50 ft

Step-by-step explanation:

[tex]\frac{6}{2.5} =\frac{120}{x} \\\\6x=300\\x=50[/tex]

95141 1404 393

Answer:

  b.  28,300

Step-by-step explanation:

The estimated number of 11th grade students in the state is ...

  (1600 classes)(27 students/class) = 43,200

About 34.6% are estimated to have 2 or more siblings, so the remaining 100%-34.6% = 65.4% are estimated to have fewer than 2 siblings.

Translated to a number of students, that percentage is ...

  0.654 × 43,200 = 28,252.8 ≈ 28,300

A good estimate of the number of students with fewer than 2 siblings is 28,300.

NOT NECESSARILY would a triangle be equilateral if one of its angles is 60 degrees. To be an equilateral triangle (a triangle in which all 3 sides have the same length), all 3 angles of the triangle would have to be 60°-angles; however, the triangle could be a 30°-60°-90° right triangle in which the side opposite the 30 degree angle is one-half as long as the hypotenuse, and the length of the side opposite the 60 degree angle is √3/2 as long as the hypotenuse. Another of possibly many examples would be a triangle with angles of 60°, 40°, and 80° which has opposite sides of lengths 2, 1.4845 (rounded to 4 decimal places), and 2.2743 (rounded to 4 decimal places), respectively, the last two of which were determined by using the Law of Sines: "In any triangle ABC, having sides of length a, b, and c, the following relationships are true: a/sin A = b/sin B = c/sin C."¹