Find the domain of the relation.
{(6,3),(8,3),(4,-4),(4,0),(-2,-9)

Answer:

8 + 6 = 14

14 x 4 = 56

56 x 1/2(basically just dividing by 2) = 28 mm2

Formula of area of a trapezoid:

B1(base 1) + B2(base 2) x H(height) x 1/2(basically just dividing by 2)

In this case, 8 is your base your other base is 6 and your height is 4.

Answer:

1,260 helmets

Step-by-step explanation:

100/225 × 2,835 = 1,260

Answer:

4.03cm

Step-by-step explanation:

Note that the diameter of the circumscribed circle to the right triangle is the hypotenuse of the triangle.

To get the diameter, we will use the pythagoras theorem as shown;

d² = 7² + 4²

d² = 49 + 16

d² = 65

d = √65

d = 8.0622577

Since radius = d/2

radius = 8.0622577/2

radius = 4.0311288

Hence the radius of the circumscribed circle to the nearest hundredth is 4.03cm

Answer:

Value of An if n is 17 = -834

Step-by-step explanation:

Given:

A100 = 245

d = 13

n = 17

Find:

Value of An if n = 17

Computation:

An = a + (n-1)d

A100 = a + (100-1)13

245 = a + (99)17

245 = a + 1,287

a = 245 - 1,287

a = -1,042

So,

Value of An if n = 17

An = a + (n-1)d

A17 = -1,042 + (17-1)(13)

A17 = -1,042 + (16)(13)

A17 = -1,042 + 208

A17 = -834

Value of An if n is 17 = -834

Answer:

9.434 units

Step-by-step explanation:

Given data

points (5,4) and (-3,-1)

x1= 5

y1= 4

x2= -3

y2= -1

The expression for the distance between two points is

d=√((x_2-x_1)²+(y_2-y_1)²)

substitute

d=√((-3-5)²+(-1-4)²)

d=√((-8)²+(-5)²)

d=√64+25

d=√89

d=9.4339

d= 9.434 units

Hence the distance between the points is 9.434 units

Answer:

[tex]n = -3[/tex]

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

-5-2n=8n+25

-5-25=8n+2n

-30=10n

-30/10=n

-3=n

Step-by-step explanation:

therefore n=-3

Hope this helps u!!

Answer:

[tex]6[/tex]

[tex]16[/tex]

Step-by-step explanation:

[tex] \frac{x}{12} + \frac{y}{3} = 2[/tex]

[tex] \frac{y}{3 } = 2 - \frac{x}{12} [/tex]

[tex]y = 3( 2 - \frac{x}{12} )[/tex]

[tex]y = 6 - \frac{x}{4} [/tex]

[tex]y = - \frac{x}{4} + 6[/tex]

[tex] {x}^{2} - 8x + c[/tex]

[tex] {x}^{2} + c - 18[/tex]

To find the c value ,

[tex]c = ( \frac{b}{2} {)}^{2} [/tex]

divide the coefficient of x by 2 and square the result.

[tex]( - 1 \times 4 {)}^{2} [/tex]

[tex]( - 4 {)}^{2} [/tex]

[tex]16[/tex]

Answer:

1/4 is the simplified fraction for 12/48.

Answer:

Step-by-step explanation:

take 42 degree as reference angle

using sin rule

sin 42=opposite/hypotenuse

0.66=6.4/x

x=6.4/0.66

x=9.69

Answer:

Step-by-step explanation:

A=bh A=7*8 A=56units^2

Answer:

34

Step-by-step explanation:

i think its 34

Answer:

Part A : 1/62   Part  b : 1/60

Step-by-step explanation:

Well lets start with part A

(62)x=1

anything in parenthesis means multiply

62x= 1

divide everything by 62 to get x by itself

x= 1/62

Part A : 1/62

Part B : 60x = 1

x = 1/60

because same  reasoning

Answer:

B. SF=1/2 (image was reduced)

Step-by-step explanation:

Answer:

scale factor = [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

The scale factor is the ratio of corresponding sides, scaled copy to original

scale factor = [tex]\frac{3}{9}[/tex] = [tex]\frac{1}{3}[/tex]

Hi there!  

»»————-　★　————-««

I believe your answer is:  

D) {(1, 2), (2,4), (−1, 2), (0,3)}

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

Option A's answer is incorrect, as the domain value of '5' repeats.

{(5, 0), (0, 1), (5, 2), (4,4)}  

⸻⸻⸻⸻

Option B is not a function due to the repeating '-4' value.

{(0, 1), (−4, 1), (4, 2), (−4,−1)}

⸻⸻⸻⸻

The '3' in option C's given relation repeats.

{(3, 2), (2,1), (−1, 2), (3,3)}

⸻⸻⸻⸻

Option D is the correct answer, as there are no domain values that repeat.  

{(1, 2), (2,4), (−1, 2), (0,3)}

Therefore, option D is a function.

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

Less than

Step-by-step explanation:

EX:

1/2 * 1/2 = 1/4

1*1 = 1

2*2 = 4

when you multiply two fractions, you get a fraction of a fraction.

Answer:

I believe it would be B. SAS

Step-by-step explanation:

You have two sides and one angle that are congruent in both

Answer:

5.8

Step-by-step explanation:

Given:

[tex]\sin^{-1}\left(\dfrac{5}{8}\right)=A[/tex]

To find:

The correct equivalent equation.

Solution:

We have,

[tex]\sin^{-1}\left(\dfrac{5}{8}\right)=A[/tex]

Taking sin on both sides, we get

[tex]\sin \sin^{-1}\left(\dfrac{5}{8}\right)=\sin A[/tex]

[tex]\dfrac{5}{8}=\sin A[/tex]                      [tex][\because \sin (\sin^{-1}\theta )=\theta][/tex]

Interchanging the sides, we get

[tex]\sin A=\dfrac{5}{8}[/tex]

Therefore, the correct option is 4.

Answer: 18

Step-by-step explanation:

I just found the number in between  

Answer:

8[tex]\sqrt{2}[/tex]

Step-by-step explanation:

The geometric mean of 2 numbers a and b is [tex]\sqrt{ab}[/tex] , then

[tex]\sqrt{4(32)}[/tex]

= [tex]\sqrt{128}[/tex]

= [tex]\sqrt{64(2)}[/tex]

= [tex]\sqrt{64}[/tex] × [tex]\sqrt{2}[/tex]

= 8[tex]\sqrt{2}[/tex]

Answer:

The number is 222

Step-by-step explanation:

The given parameters are;

The method Ashley models the 3 digit number = A mix of six base-ten blocks

The digits of the 3 digit number are equal

Therefore, given that in a 3 digit number, we have, hundreds, 100s, tens, 10s, and units, 1s, we can find the digits as follows;

Let 'x' represent the number of hundreds digits, let 'y' represent the number of tens digits and let 'z' represent the number of units digits, we have;

x = y = z...(1)

x + y + z = 6...(2)

Substituting the value of x = y, and x = z from equation (1), in equation (2), we get;

x + y + z = x + x + x = 6

∴ 3·x = 6

∴ x = 6/3 = 2

x = 2 = y = z

Therefore, the 3-digit numbers xyz = 222

Answer:

[tex]13194.7\ mm^2[/tex]

Step-by-step explanation:

The total surface area of a cone is given by:

Surface area = [tex]\pi r(r+\sqrt{h^2+r^2} )[/tex]

where r is the radius of the cone, h is the height of the cone, l is the length of the cone = [tex]\sqrt{h^2+r^2}[/tex]

Given that h = 136 mm, r = 60 mm /2 = 30 mm, l = 140 mm. Also the top of the cone is not included in the surface area, hence the surface area becomes:

[tex]Surface \ area=\pi r(\sqrt{h^2+r^2} )=\pi rl\\\\Surface \ area=\pi (30\ mm)(140\ mm)=13194.7\ mm^2[/tex]

Answer:

She swims 9m in one second

Step-by-step explanation:

Answer:

x = 16

y = 20

Step-by-step explanation:

the left part of the triangle can be solved first as it already has one angle and 1 side, we use trigonometry for this.

since we have 2 sides and 1 angle, to find the third side length we use the pythagoras theorem. a² + b² = c²

; 9² + 12² = c²

; 225 = c²

;√225 = c

; 15 = c

since we have all the lengths of the triangle, we can find out the angle opposite to the side length '9',

; [tex]\frac{Sin x}{9} = \frac{sin90}{15}[/tex]

; [tex]\frac{Sin 90}{15}[/tex] x 9 = Sinx

36.86 = x

now, we look at the triangle as a whole, the top angle being 90 degrees, we know that we have 36.86.

; 90 - 36.86 = 53.13

[tex]\frac{y}{Sin 90} = \frac{12}{Sin 36.86}[/tex]

; [tex]\frac{12}{sin 36.86}[/tex] x Sin 90 = 20

y = 20

again, since we have 2 sides of a right angled triangle we use a² + b² = c²

we arrange this formula since we have the hypotenuse

; 20² - 12² = 256

; √256 = x

; 16  = x

Answer:

Step-by-step explanation:

Use SOH CAH TOA to recall how the trig functions fit on a triangle

SOH: Sin(Ф)= Opp / Hyp

CAH: Cos(Ф)= Adj / Hyp

TOA: Tan(Ф) = Opp / Adj

copy the above onto your computer for future reference

sin(g) = 420/427

tan(z) = 77/420

cos(z) = 420/427

sin(m) = 427/427

part (E)   the sin of any right angle will be  1   :)

Answer:

Solution given:

Sin G=opposite/hypotenuse=420/427

TanZ=Opposite/adjacent=77/420

CosZ=adjacent/hypotenuse=420/427

Sin M=opposite/hypotenuse=427/427=1

Answer:

[tex]20 = \frac{Far \ arc - Near \ arc}{2}\\\\20 = \frac{160 - (2m +12)}{2}\\\\40 = 160 - (2m + 12)\\2m + 12 = 160 - 40\\2m = 120 -12\\2m = 108\\m = 54[/tex]

Answer:

m = 54

Step-by-step explanation:

The secant- secant angle 20° is half the difference of the intercepted arcs, that is

[tex]\frac{1}{2}[/tex] (160 - 2m - 12) = 20° ( multiply both sides by 2 to clear the fraction )

- 2m + 148 = 40° ( subtract 148 from both sides )

- 2m = - 108 ( divide both sides by - 2 )

m = 54

Answer:

B)

Step-by-step explanation:

to get the converse, interchange the hypothesis and conclusion

in this case the hypothesis is "if it is snowing" and the conclusion is "then it is my birthday"

Converse would then be "If it is my birthday, then it is snowing"

Answer:

landslide

Step-by-step explanation:

Answer:

I believe that the answer might be the second one

Volcanic Eruption