Someone help me (10 points each person)

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:

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:

the correct answer is C (0,8)

Step-by-step explanation:

got 100%

Answer: C (0,8)

Step-by-step explanation: correct on test

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:

aₙ = 2*n*n - n -1

Step-by-step explanation:

a₁ = 0

a₂ = 5 = 2*2*2 -2-1 = 8-3 = 5

a₃ = 2*3*3 -3-1 = 18-4 =14

a₄ = 2*4*4 - 4-1 = 32-5 =27

......

aₙ = 2*n*n - n -1

Answer:

15.62 yards

Step-by-step explanation:

hyp² = 10²+12² = 100+144 = 244

hyp = √244 = 15.62 yards

Answer:

B)cevap B olmalı.....,,,

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:

b

Step-by-step explanation:

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:

25ax25b= 625

Answer:

(9,-7)

Step-by-step explanation:

Answer:

9, -7 if i'm correct

Step-by-step explanation:

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: $64.20

Step-by-step explanation:

Cost of shoe = $60

Sales tax rate = 7%

Sale tax = 7% × $60 = 7/100 × 60 = $4.20

The total price paid by Mary

= Cost of shoe + Sales tax

= $60 + $4.20

= $64.20

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

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:

A. -6+6=0 0>-1

C. 9+(-7)=2 2>-1

Answer:

here..

Step-by-step explanation:

42/55

Answer:

1. 12.6  2. 21.4

Step-by-step explanation:

1. c=2piR, so if the radius is 2, then 2 times 2 then times 3.14= 12.6(rounding to the nearest tenth)

2.i already explained the formula, so it should be 3.4*2 then times 3.14= 21.4

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:

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:

1000

3 decimals