I really need help on this

Given:

In a right angled triangle ABC the perpendicular and the base measure 3 cm.

To find:

The hypotenuse and three trigonometric ratios.

Solution:

Pythagoras theorem:

[tex]Hypotenuse^2=Perpendicular^2+Base^2[/tex]

Use Pythagoras theorem in triangle ABC.

[tex]Hypotenuse^2=(3)^2+(3)^2[/tex]

[tex]Hypotenuse^2=9+9[/tex]

[tex]Hypotenuse=\sqrt{18}[/tex]

[tex]Hypotenuse=3\sqrt{2}[/tex]

The three trigonometric ratios are

[tex]\sin \theta=\dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]\sin \theta=\dfrac{3}{3\sqrt{2}}[/tex]

[tex]\sin \theta=\dfrac{1}{\sqrt{2}}[/tex]

Similarly,

[tex]\cos \theta=\dfrac{Base}{Hypotenuse}[/tex]

[tex]\cos \theta=\dfrac{3}{3\sqrt{2}}[/tex]

[tex]\cos \theta=\dfrac{1}{\sqrt{2}}[/tex]

And,

[tex]\tan \theta=\dfrac{Perpendicular}{Base}[/tex]

[tex]\tan \theta=\dfrac{3}{3}[/tex]

[tex]\tan \theta=1[/tex]

Therefore, the hypotenuse is [tex]3\sqrt{2}[/tex] cm and three trigonometric ratios are [tex]\sin \theta=\dfrac{1}{\sqrt{2}}, \cos \theta=\dfrac{1}{\sqrt{2}}, \tan \theta=1[/tex].

Answer:

See explanation

Step-by-step explanation:

The first thing to do when given a data set is to ensure that the x-values are spaced in equal intervals.

The next is now to determine if the given y-values are increasing by the same amount(a common difference) or by the same ratio(a common ratio).

The data set is linear if the y-values increase by a common difference and the data set is exponential if the y-values increase by a ratio or factor.

Answer:

Which of the following steps did you include? Check all of the boxes that apply.

Make sure that the x-values are spaced apart in equal intervals.

Determine whether the y-values increase by the same amount or by the same ratio.

Decide that the data is linear because the y-values increase by a common difference.

Decide that the data is exponential because the y-values increase by a ratio or factor.

Step-by-step explanation:

i took the test

Answer:

Rotation 180

Step-by-step explanation:

The axis points right to the rotation so it implies that exact answer

Answer:

y=[tex]\frac{3}{2}[/tex]x-1

Step-by-step explanation:

y=mx+b

-7=[tex]\frac{3}{2}[/tex](-4)+b

-7=(-6)+b

b=(-1)

y=[tex]\frac{3}{2}[/tex]x-1

Answer:

25ax25b= 625

Answer:

I’m pretty sure it’s 2919 students

Step-by-step explanation:

Ok 37-math

44-history

180 total students

99 students in the total didnt like them

3000 students in school.

-180

2919 students

Answer:

1000

3 decimals

the probability of getting one is 1/6, and 2 is the same, 1/6. the probability of getting a number higher than 4 is 1/3. 1/6 * 1/6 * 1/3 = 1/108

Answer:

If the rope is 20 ft long, then the maximum area the cow can graze is:

[tex]\pi \\[/tex]r^2 square feet.

[tex]\pi[/tex] is approximately 3.14, so that means we have: 3.14(20^2) = 1256 ft squared.

Thus, the maximum area that the cow can graze is 1256 ft squared.

Let me know if this helps!

The cow's maximum grazing area is 1256 ft squared. The grazing area is found as the area of the circle.

The space filled by a flat form or the surface of an item is known as the area.

The number of unit squares that cover the surface of a closed-form is the figure's area. Square centimeters and other similar units are used to measure area.

If the rope is 20 feet long, the cow can graze the following area:

A=πr²

A=3.14(20)²

A=1256 ft squared.

As a result, the cow's maximum grazing area is 1256 ft squared.

To learn more about the area, refer to the link;

https://brainly.com/question/11952845

#SPJ2

Answer: x=2

Step-by-step explanation:

Given

f(x)=3x+1

f(x)=7

Combine two equations by substitution

3x+1=7

Subtract 1 on both sides

3x+1-1=7-1

3x=6

Divide 3 on both sides

3x/3=6/3

x=2

Hope this helps!! :)

Please let me know if you have any questions

Answer:

(1,4)

Step-by-step explanation:

Your solution to the system of equations is where the two lines intersect.

On this problem, it is the point (1, 4)

Answer:

Around 35%

Step-by-step explanation:

122/350 = 0.35

Answer:

32%

Step-by-step explanation:

We are told out of 350 times, he stuck out 122 times. As a fraction, we can say he struck out 122/350 times.

As a fraction, we can easily convert this to a decimal by dividing the numerator (top number) by the denominator (bottom number).

So, 122/350 = 0.32.

Now, we can easily convert this to a percentage by multiplying by 100.

0.32 x 100 = 32%

Answer:

Step-by-step explanation:

Given the expression sin(9z − 1) = cos(6z + 1), for 0 < z ≤ 90, we are to find z

Note that sin theta = cos(90-thetsa)

sin(9z − 1) = cos(6z + 1)

cos (90 - (9z-1)) = cos(6z + 1)

cos (90 - 9z+1)) = cos(6z + 1)

cos (91-9z) = cos(6z + 1)

Cos will cancel out to have;

91-9z = 6z+1

-9z - 6z = 1-91

-15z = -90

z = 90/15

z = 6

Hence the value of z is 6

Answer:

(y-b)/m = x

Step-by-step explanation:

We need to isolate X!

y = mx + b

minus b

y-b=mx

divide by m

(y-b)/m = x

Hope this helps!

Answer:

Explanation:

y = mx + b

mx + b = y

mx + b - b = y - b

mx = y - b

ᵐˣ⁄ₘ = ʸ⁄ₘ - ᵇ⁄ₘ

Simplify

- PNW

Answer:

c) 95 feet

Step-by-step explanation:

perimeter = πd

3.14*18=56.52 in

20 revolutions =56.52*20=1130 in =95 feet

Answer:

1. m<T =72 , m<U =54

2. EF= 18 in. , m<F=134'

3. x=4

Step-by-step explanation:

1. <s=<u , there is 180' in a triangle total so 180- <S - <U = <T

180 - 54 - 54 = 72

2. ef = gf

180 - 23 - 23 = 134

3. since bottom 2 angles are = , the 2 sides are also =

see attachment for work

Answer:

Step-by-step explanation:

You simply need to assign 1 to n if you wanna know what is a1. Then, a1 turns to 6 cuz a1 means 3×1 + 3. Step by step, assign 2,3,4,5 to n and you'll get the right answers!

Answer:

X is 110cm

Step-by-step explanation:

35degrees plus 90degrees equals 125degrees

So 125-15=110cm

Answer:

It took 2 hours by plane

Step-by-step explanation:

let bus is represented by x and plane is represented by y

the total distance of bus and plane will be represented by equation:

40 x + 600 y = 1320           (1)

the total time taken by bus and plane will be represented by:

x + y = 5                              (2)

solving equations (1) and (2) simultaneously:

Multiply by 40 on both sides in eq (2)  and then subtract (1) and (2)

40 x + 600 y = 1320

40 x + 40 y = 200

_______________

         560 y = 1120

               y   = 1120/ 56

               y= 2

since plane is represented by y so, the time they spent travelling by plane is 2 hours.

Answer:

here..

Step-by-step explanation:

42/55

Answer:

(9,-7)

Step-by-step explanation:

Answer:

9, -7 if i'm correct

Step-by-step explanation:

Answer:

15.62 yards

Step-by-step explanation:

hyp² = 10²+12² = 100+144 = 244

hyp = √244 = 15.62 yards

Answer:

b

Step-by-step explanation: