Trigonometric Ratios
Find cos Z

☁️ Answer ☁️

annyeonghaseyo!

I Got:

√5/2

Here's the Decimal Form:

1.11803398

Hope it helps.

Have a nice day noona/hyung!~ ￣▽￣❤️

Answer:

10 units

Step-by-step explanation:

You can create point c at (3,4) to make a right triangle

Then you know that the 2 legs are 6 and 8

We need to find the hypotenuse

You can use pythagorean theorem:

6^2+8^2=c^2

So c=10

So the distance is 10 units

:)

Given:

The sequence can be generated by

[tex]a_n=4a_{(n - 1)}[/tex]

Where [tex]a_1= 6[/tex] and [tex]n[/tex] is a whole number greater than 1.

To find:

The first four terms of the given sequence.

Solution:

We have,

[tex]a_n=4a_{(n - 1)}[/tex]          ...(i)

It is given that [tex]a_1= 6[/tex]. So, for [tex]n=2[/tex], we get

[tex]a_2=4a_{(2 - 1)}[/tex]

[tex]a_2=4a_1[/tex]

[tex]a_2=4(6)[/tex]

[tex]a_2=24[/tex]

Putting [tex]n=3[/tex] in (i), we get

[tex]a_3=4a_{(3- 1)}[/tex]

[tex]a_3=4a_2[/tex]

[tex]a_3=4(24)[/tex]

[tex]a_3=96[/tex]

Putting [tex]n=4[/tex] in (i), we get

[tex]a_4=4a_{(4- 1)}[/tex]

[tex]a_4=4a_3[/tex]

[tex]a_4=4(96)[/tex]

[tex]a_4=384[/tex]

The first four terms of the given sequence are 6, 24, 96,384.

Therefore, the correct option is C.

Answer:

12

Step-by-step explanation:

Find the prime factorization of 24.

To find the GCF, multiply all the prime factors common to both numbers: Therefore, GCF = 2 × 2 × 3.

GCF = 12.

Answer:

x ≈ 10.9

Step-by-step explanation:

Using the sine ratio in the right triangle

sin40° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{7}{x}[/tex] ( multiply both sides by x )

x × sin40° = 7 ( divide both sides by sin40° )

x = [tex]\frac{7}{sin40}[/tex] ≈ 10.9 ( to the nearest tenth )

Answer:

80

Step-by-step explanation:

filler text filler text filler text

filler text filler text filler text

filler text filler text filler text

filler text filler text filler text

Answer:

30 seconds

Step-by-step explanation:

10x10=100 3x10=30

Answer:

d) 80

Step-by-step explanation:

(35% = 0.35)

equation:

⇒ [tex]0.35x = 28[/tex]

divide 0.35 on both sides

⇒ [tex]\frac{0.35x}{0.35} = \frac{28}{0.35}[/tex]

solve:

⇒ x = 80

The total number of points will be 80. The correct option is D.

In mathematics, expression is defined as the relationship of numbers, variables, and functions using mathematical signs such as addition, subtraction, multiplication, and division.

Assume a basketball player scores 28 points per game. She accounts for 35% of the team's total points.

Calculate the number of the points below,

35% of x = 28 points

x = ( 28 x 100 ) / 35

x = 80 points

Therefore, the number of points will be 80. Option D will be the right answer.

To know more about an expression follow

https://brainly.com/question/28986384

#SPJ2

Answer:

A. V=-640

Y=0

B. V represents the views 2 days before Jada saw the video.

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Answer:

when x=2

-2×2+4y=16

4y=16+4

y=20/4=5

again

x=-8

-2×-8+4y=16

4y=16-16

y=0/4=0

Answer:

154°

Step-by-step explanation:

They are alternate angles.

Answer:

154 degrees

Step-by-step explanation:

I'm going to use simple terms, you see there are two types of angles? One acute and the other obtuse. All the angles that are obtuse are the same and vis versa for acute angles too. It's just a rule for two parallel lines that are intersected by a perpendicular one.

Answer:

Step-by-step explanation:

Before the increase it was 100%

So 20+100=120

156/120*100=130$

Don’t do it like 20/100 *156 and then minus it from 156 because you will get a wrong answer

(This was answered by another person on a another question.)

Answer:

130

Step-by-step explanation:

x * 1.2 = 156

x = 156/1.2

x = 130

Answer:

148.12m²

Step-by-step explanation:

At first, lets find the area of rectangle.

length = 14m

breadth = 6m

Area of rectangle = length x breadth

= 14 x 6

= 84m²

Now, For the area of sector of the circle,

Given angle (a) = 34

radius = 14m

Area of the sector = a / 360 x pi x r²

= 34/360 x 3.14 x 14²

= 34 / 360 x 3.14 x 196

= 58.12m²

Now adding both areas,

84 + 58.12 = 142.12m²

Segment of a circle is the part of the circle. The total area of the composite figure is 142.1544 m².

The area of the segment of the circle is given by the formula,

[tex]\rm \text{Area of the rectangle} = \pi r^2 \times \dfrac{\theta}{360}[/tex]

As it is given that the composite figure is made up of a circular segment and a rectangle, therefore, we will find the area of the rectangle and the area of the circular segment individually.

Area of the rectangle

The area of the rectangle is the product of its length and breadth, therefore, the area is,

[tex]\rm \text{Area of the rectangle} = Length \times breadth[/tex]

                                [tex]= 14 \times 6\\\\=84\rm\ m^2[/tex]                

Area of the sector of the circle

[tex]\rm \text{Area of the rectangle} = \pi r^2 \times \dfrac{\theta}{360}[/tex]

                                   [tex]= \pi \times 14^2 \times \dfrac{34}{360}\\\\=58.1544\rm\ m^2[/tex]

The total area of the composite figure

The total area of the composite figure

= Area of rectangle + Area of the segment of the circle

= 84 + 58.1544 m²

= 142.1544 m²

Hence, the total area of the composite figure is 142.1544 m².

Learn more about Segment of Circle:

https://brainly.com/question/1697991

Answer:

sqrt (48x^5) if x>0

. implies multiplication

48 = 2. 2.2.2.3= 2^4 .3

sqrt [2^4 .3 (x^5) ] if x>0

sqrt [2^4 ] sqrt [3 ]  sqrt [(x^5) ] if x>0

sqrt [16 ] sqrt [3 ]  sqrt [(x^5) ] if x>0

4. sqrt [3 ]  sqrt [(x^5) ] if x>0

We know, sqrt [(x^5) ] if x>0  =  x^2. sqrt [(x) ]

4. sqrt [3 ] .x^2. sqrt [(x) ] if x>0

4x^2 sqrt[3x] (answer c)

Step-by-step explanation:

The answer is A.33.33%.

Answer:

1. yes

2. no

3. yes

4. no

Step-by-step explanation:

Answer:

18c

= 18(36)

=648

Hope this helps you

Answer:

Part H

How many holes need to be drilled for 36 parts? Show your work.

Step-by-step explanation:

18c

= 18(36)

= 648

Answer:

im sorry dont know anwser wish i could help

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

multiply 32 by whatever a right angle give you

Answer:

It would take Beth twelve minutes to wash the car herself

Step-by-step explanation:

If they do it together in 6 minutes.

& Katy can do it in 18 minutes alone

Then 18 - x = 6

replace x for twelve

18 - twelve = 6

Ans: twelve

Answer: this will help

Step-by-step explanation: AB = DE

BC = EF

CA = FD

Angle A = Angle D

Angle B = Angle E

Angle C = Angle F

Answer: its y=x/3

So x/3 is the slope and means the same as 1/3 x

the 1/3 shows we go up one and over 3 because slope is y/x

Hope this helps

Answer:

2.0 km

Step-by-step explanation:

From the diagram attached,

cosθ = adjacent/Hypotenus

cos4° = x/2

make x the subject of the equation

x = 2cos4°

x = 2(0.998)

x = 1.995

x = 2.0 km. (to the nearest tenth)

Hence the horizontal distance is 2.0 km

Answer:

Least : Orange, red, yellow, purple, green : Greatest

O = 7.2

R= 7.5

Y= 7.875

P= 8.25

G= 8.33

Step-by-step explanation:

either convert them all to fractions, or convert them all to decimals

IM VERY SORRY if its wrong tho :(

Answer:

This is really hard, but what you marked is CORRECT, it is the second option :D

Mark brainliest please ;P