Use a half-angle identity to find the exact value of cos 15º.

=========================================================

Explanation:

1 hour = 60 minutes

2 hours = 120 minutes (multiply both sides by 2)

2 hrs + 20 min = 120 min + 20 min (add 20 min to both sides)

2 hrs, 20 min = 140 min

Juan studied for 140 min

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

Ken studied for 2/3 of an hour, so he studied for (2/3)*60 = 120/3 = 40 min

We see that Juan studied more than Ken, so that must mean Juan's study time as a percentage of Ken's study time is over 100%

This is because

and so on

We divide Juan's time by Ken's time to get: 140/40 = 3.5 = 350%

350% of Ken's study time was Juan's study time.

In other words, if we take 350% of the 40 min figure, then we get 3.5*40 = 140 which represents Juan's study time.

If your teacher asked the reverse of this, and instead asked "what percent of Juan's study time was Ken's?", then the answer would be 40/140 = 0.2857 = 28.57% approximately.

I think - 4 sin [tex]\frac{x}{2}[/tex] - 1 its probably wrong but I attempted it sorry if wrong.

Answer:

63.7 I believe to be the answer

The required probability that a randomly selected point within the circle falls in the red shaded area (Square) is 63.6%.

A figure is shown, in which a square is inscribed in a circle. To find the probability that a randomly selected point within the circle falls in the red shaded area (Square).
radius  = 4 cm
side of square = 4√2 cm

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Area of the circle = πr²
                              = 3.14 * 4²
                              = 50.24 cm²
Area of the square = side * side
                                =  4√2 * 4√2
                                = 32 cm²

Now the probability that a randomly selected point within the circle falls in the red shaded area (Square).
= Area of square / Area of the circle
= 32 / 50.24
= 0.636 or 63.6%

Thus, the required probability that a randomly selected point within the circle falls in the red shaded area (Square) is 63.6%.

Learn more about probability here:

brainly.com/question/14290572

#SPJ2

Answer:

$182000000000

1.82 * 10^11

Step-by-step explanation:

Given that :

Number of engineers = 2.6 million

Average salary = $70,000

Collective income generated by group of engineers yearly :

This will be on average :

2,600,000 * 70,000 = $182000000000

In scientific notation :

$182000000000 = 182 * 1000000000

182 * 1000000000 = 182 * 10^9

182 = 1.82 * 100 = 1. 82 * 10^2

Hence,

$182000000000 = 1.82 * (10^2 * 10^9)

$182000000000 = 1.82 * 10^11

Answer:

The absolute value function:

f(x) = |x|

is defined as:

f(x) = x              if x ≥ 0

f(x) = -x             if x < 0.

Then, knowing that the elevation of the diver is -380 ft

We can write the absolute value of the distance as:

|-380ft| = -(-380ft) = 380ft

This means that the diver is at a distance of 380 ft from sea level. (And because we know that the sign is negative, we can conclude that he is 380ft below sea level).

Answer:

answer d... (2,3)

Step-by-step explanation:

goodluck man!

Answer:

Vertical

Step-by-step explanation:

Angles a and b reflect each other, which is what vertical angles are.

Answer:

This will help you know what to do as an example

Step-by-step explanation:

The scale factor is 1624=23.

PsmallPlarge=2(10)+2(16)=52 units=2(15)+2(24)=78 units

The ratio of the perimeters is 5278=23.

Answer:

See below.

Step-by-step explanation:

Perimeter:  use the Distance Formula  [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Distance from (-3, 4) to (4, 5) is

[tex]\sqrt{(5-4)^2+(4-(-3))^2}=\sqrt{1+49}=\sqrt{50}=5\sqrt{2}[/tex]

Distance from (4, 5) to (2, -3) is

[tex]\sqrt{(2-4)^2+(-3-5)^2}=\sqrt{4+64}=\sqrt{68}=2\sqrt{17}[/tex]

Distance from (2, -3) to (-4, 4) is

[tex]\sqrt{(-4-2)^2+(-4-(-3))}=\sqrt{36+1}=\sqrt{37}[/tex]

Distance from (-4, 4) to (-3, 4) is

[tex]\sqrt{(-4-(-3))^2+(4-(-4))^2}=\sqrt{1+64}=\sqrt{65}[/tex]

The perimeter is the sum of all these distances.

Area:

To find the area of the figure, one method is to draw a rectangle around the entire figure, then add line segments that cut up the unwanted area into rectangles and triangles, add those areas together, then subtract the total from the area of the surrounding rectangle.  See the attached figure.

The surrounding rectangle has area 8 x 9 = 72 square units.

The unwanted areas (green rectangles and four triangles).  Remember, the area of a triangle is (1/2)(length)(width).

Rectangle A:  1 x 1 = 1 square unit

Triangle B: (1/2)(7)(1) = 3.5 square units

Triangle C: (1/2)(8)(1) = 4 square units

Triangle D: (1/2)(8)(2) = 8 square units

Triangle E: (1/2)(6)(1) = 3 square units

Rectangle F: 2 x 1 = 2 square units

Total of unwanted area: 1 + 3.5 + 4 + 8 + 3 + 2 = 21.5 square units

Subtract this total from the surrounding rectangle's area to get

72 - 21.5 = 50.5 square units

Answer:

X=2 and y=5

Step-by-step explanation:

5=-4+9 True

5=8-3   True

Answer:

c

sorry if I'm wrong.

ah ah ah ah ah

Answer: 40%

Step-by-step explanation:

I just did it

Answer:

Step-by-step explanation:

Cos(Sec - 1 ) = 1 - cosC

Cos and Sec are reciprocals which when multiplied together is 1

-1 * Cos = -Cos

SO: 1 - Cos = 1 - Cos

Hope this helps!

Answer:

288 [tex]\pi[/tex] cm³

Step-by-step explanation:

diameter = 12 cm

radius = diameter/ 2

= 12/ 2

= 6 cm

volume of a sphere = 4/ 3 × [tex]\pi[/tex] × (6)³

= 4/ 3 × [tex]\pi[/tex] × 216

= ( 864 [tex]\pi[/tex])/ 3

= 288 [tex]\pi[/tex] cm³

Answer:

The answer is D

Step-by-step explanation:

If and Then are italicized

Answer: [tex]32.909\ \text{ounce}[/tex]

Step-by-step explanation:

Given

3.25 cm long segment of rope weighs [tex]61.40\ gm[/tex]

Using unitary method

1 cm of a segment measures

[tex]\dfrac{61.40}{3.25}=18.892\ gm[/tex]

[tex]1\ cm\equiv 18.892\ gm[/tex]

converting cm to inch and gm to ounce

[tex]\dfrac{1}{2.54}\ in.\equiv \dfrac{18.892}{28.3495}\ \text{ounce}\\\\1\ in.\equiv \dfrac{18.892}{28.3495}\times 2.54\ \text{ounce}\\\\1\ in.\equiv 1.692\ \text{ounce}[/tex]

for 19.45 in., weight is

[tex]\Rightarrow 19.45\ in.\equiv 1.692\times 19.45\\\\\Rightarrow 19.45\ in\equiv 32.909\ \text{ounce}[/tex]

Answer:

i got it right⬇

Answer:

Value of F(x) when x = -5 is 20

Step-by-step explanation:

Given equation;

f(x) = x² + 2x + 5

f(x) = f(-5)

Find:

Value of F(x) when x = -5

Computation:

Given function;

f(x) = x² + 2x + 5

By putting value of x in given function

f(-5) = (-5)² + 2(-5) + 5

f(-5) = (-5 x -5) + 2(-5) + 5

f(-5) = (25) - 10 + 5

f(-5) = (25) - 5

f(-5) = 20

Value of F(x) when x = -5 is 20

Answer: [tex]n>14[/tex]

Step-by-step explanation:

Given

Misty needs to gather at least 20 flags for the parade

She has already gathered 6 flags

Inequality to find the number of flags needed is

[tex]n+6>20[/tex]

Subtract -6 from both sides

[tex]\Rightarrow n+6-6>20-6\\\Rightarrow n>14[/tex]

Therefore, option (j) is correct.

Answer: 48 tickets

Step-by-step explanation:

Since the expression that gives the number of tickets a player wins if he shoots the ball in the hoop t times is expressed as 3t.

Therefore, the number of tickets that a player wins if he shoots the ball in the hoop 16 times will be:

= 3t

where,

t = 16

Therefore, 3t = 3 × 16 = 48

The player wins 48 tickets.

Answer:

a. (6,2)

Step-by-step explanation:

4 - 1 = 3 (2) = 6

2 - 1 = 1 (2) = 2

Answer:

Supplement = 4°

other angle = 176°

Step-by-step explanation:

44x + x = 180°

45x = 180°

x = 4

Since the supplement = x

and we now that x = 4

The supplement = 4°

180° - 4° = 44(4)

176°

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

help help help help jelp

Answer:

Step-by-step explanation:

First,

$640+$710+$700+$685=$2735.(total expenditure).

$2735÷4=$683.75.TOTAL AVERAGE.

Answer:

3(p - 5) + 2s should be the correct answer!

Step-by-step explanation:

3 henna powder, and you get $5 off each henna powder so equation is 3(p - 5)

2 bottle so, 2s

add them up and get the answer

Anyways, hope this helped!

Answer:

Okay so

Directions: find the value of x?

122 + 68 divided by 2

x = 95 degrees

Step-by-step explanation:

Answer:

x = -[tex]\frac{2}{3}[/tex]

y = 2

Step-by-step explanation:

The process of elimination is a method of solving a system of equations. One must first manipulate one of the equations such that one of the variables shared between the two equations has the inverse coefficient of the same variable in the other equation. Therefore, when one adds the equations, the variable cancels. One can solve for the variable using inverse operations, and then backsolve to find the value of the first variable.

When given the following system:

y = 3x + 4

y + 6x = 3x

Use inverse operations so that both equations are solve for one variable,

y = 3x + 4

y = -3x

Add the systems so that one of the variables (x) cancels, this process is called the process of elimination;

y = 3x + 4

y = -3x

_________

2y = 4

Inverse operations,

2y = 4

y = 2

Now backsolve, find the value of (x) by substituting the value of (y) into the equation:

y = -3x

2 = -3x

x = -[tex]\frac{2}{3}[/tex]

Answer: No solution.

Step-by-step explanation:

Answer:approximately 2.718

Step-by-step explanation:The exponential constant is an important mathematical constant and is given the symbol e. Its value is approximately 2.718. ps. i got this from someone