The diagram shows a field ABC.

AC = 240 m

Use the sine rule to calculate AB.

Answer:

radius = 15 in.

circumference = 94.2 in.

Step-by-step explanation:

radius = diameter/2 = 30 in./2 = 15 in.

circumference = (pi)d = 3.14 * 30 in. = 94.2 in.

Answer:

Alternate Interior angles

Alternate Interior angles are angles that are within two parallel lines.

So for the above question, our pairs of Alternate Interior angles are:

= Angle 4 and Angle 6

Angle 3 and Angle 5

Alternate exterior angles

Alternate exterior angles are angles that are found outside the two parallel lines

For our above question, our pairs of Alternate exterior angles are:

= Angle 1 and 7

Angle 2 and Angle 8

Corresponding angles

= Angle 1 and Angle 5

Angle 2 and Angle 6

Angle 4 and Angle 8

Angle 3 and Angle 7

Step-by-step explanation:

Alternate Interior angles

= Angle 4 and Angle 6

Angle 3 and Angle 5

Alternate exterior angles

= Angle 1 and 7

Angle 2 and Angle 8

Corresponding angles

= Angle 1 and Angle 5

Angle 2 and Angle 6

Angle 4 and Angle 8

Angle 3 and Angle 7

Answer:

x=−4/5 or x=−3

Step-by-step explanation:

Step 1: Factor left side of equation.

(5x+4)(x+3)=0

Step 2: Set factors equal to 0.

5x+4=0 or x+3=0

x=−4/5 or x=−3

Answer:

sec ∅  =  5/4

cosec ∅  = -5/3

cot ∅  = -4/3

Tan ∅ = - 3/4

sin ∅   = -3/5

cos ∅   =4/5

Step-by-step explanation:

Given : -4y = 3x  , x > 0

i.e. 3x + 4y = 0 ,  x >0

4y = -3x  ∴ y = - 3/4 x

The values of trigonometric functions of  ∅  are

Tan ∅  = opposite / adjacent

           = - 3/4   ( given that y = slope which is = Tan  ∅ )

now we will find the hypothenuse ( c )

c^2 = a^2 + b^2 = 9 + 16 = 25

therefore ; c = √25 = 5

hence the trig functions are :

sin ∅   = -3/5

cos ∅   =4/5

sec ∅ = 5/4

cosec ∅ = -5/3

cot ∅ = -4/3

Answer:

16000=140x

It will take 90 minutes to hit 12,600 ft above ground.

Step-by-step explanation:

Just swap out 16000 for 12600. Then solve from there.

Hope it helped!

Answer:

m(3,1)

j(0,0)

E(0,-1)

x(5,0)

Answer:

$7.20

Step-by-step explanation:

A dozen = 12, Sydney bought 3 cookies for $1.80, 12 divided by 3 = 4, so 4 times $1.80 = $7.20

hope this helps :D

Answer:

7.20

Step-by-step explanation:

Answer:

There should be about 612 girls

Step-by-step explanation:

350 divided by 4 = 87.5

87.5 x 7 = 612.5

round 612.5 down, which gets 612

Answer:

69.28 cm

Step-by-step explanation:

i used a calculator but the steps you take to solve this are...

1. Multiply the length of one side by the length of the other.

             80x60 = 4,800

2. Square that number to get the hypotenuse

              [tex]\sqrt48000[/tex]

3. You've got your answer

       (69.28)

Answer:

100 cm

Step-by-step explanation:

<3

Answer:

chord

Step-by-step explanation:

A chord of a circle is a straight line segment whose endpoints both lie on a circular arc

Answer:

angle KJG = angle FGJ (by alternateinteriorangle)

Answer:

The answer is C

Step-by-step explanation:

Cause the visitors to the Act got more data

Answer:

[tex]circumference = 2\pi \: r \\ = 2 \times \frac{22}{7} \times 14 \\ 88 \: m \: fence[/tex]

Answer:

Step-by-step explanation:

I think you mean 3(x+8)², not 3(x+8)2. If you cannot type ², use ^ to mark the exponent: 3(x+8)^2.

3(x+8)² + 8 = 83

3(x+8)² = 75

(x+8)² = 25

x+8 = ±√25

x+8 = ±5

x = -8 ± 5 = -3, -13

Answer:

Step 2

Step-by-step explanation:

Answer:

29: 7

Step-by-step explanation:

[tex] \frac{8}{3x - y} = \frac{5}{x + 3y} [/tex]

Cross multiply:

[tex]8(x + 3y) = 5(3x - y)[/tex]

Expand bracket:

[tex]8x + 24y = 15x - 5y[/tex]

Bring x terms to 1 side, y terms to the other:

[tex]15x - 8x = 24y + 5y[/tex]

Simplify:

[tex]7x = 29y[/tex]

Divide by 7 on both sides:

[tex]x = \frac{29}{7} y[/tex]

Divide both sides by y:

[tex] \frac{x}{y} = \frac{29}{7} [/tex]

∴ The ratio of x to y is 29:7.

Step-by-step explanation:

[tex] \sin(30) = \frac{y}{6} \\ y = 6 \times \sin(30) = 3[/tex]

Answer:

The value of r will be 0.043

Step-by-step explanation:

Firstly, we need to write the exponential decay formula

the general form of the formula is;

A = P(1-r)^t

where A is the price after a certain year t

P is the initial value

r is the decay rate

t is the time

From the question, we have that;

r = 4.3%

4.3% in decimal will be 4.3/100 = 0.043

Answer:

1. 54ft squared  2. 48 cm squared

Step-by-step explanation:

Answer:

EF = 12

arc AG = 62°

Step-by-step explanation:

since ED = 13, EC = 13, so DF = 10/2 = 5

EF² + 13² - 5² = 169 - 25 = 144

EF = √144 = 12

∠AEG = 90° - 28° = 62°

arc AG = 62°

Answer:

Daniel can go on 22 rides.

Step-by-step explanation:

How to solve your problem

(4−3)(−22−7−5)

(4x−3)(−2x2−7x−5)(4x-3)(-2x^{2}-7x-5)(4x−3)(−2x2−7x−5)

Simplify

1

Distribute

(4−3)(−22−7−5)

(4x−3)(−2x2−7x−5){\color{#c92786}{(4x-3)(-2x^{2}-7x-5)}}(4x−3)(−2x2−7x−5)

4(−22−7−5)−3(−22−7−5)

2

distribute

4(−22−7−5)−3(−22−7−5)

4x(−2x2−7x−5)−3(−2x2−7x−5){\color{#c92786}{4x(-2x^{2}-7x-5)}}-3(-2x^{2}-7x-5)4x(−2x2−7x−5)−3(−2x2−7x−5)

−83−282−20−3(−22−7−5)

3

−83−282−20−3(−22−7−5)

−8x3−28x2−20x−3(−2x2−7x−5)-8x^{3}-28x^{2}-20x{\color{#c92786}{-3(-2x^{2}-7x-5)}}−8x3−28x2−20x−3(−2x2−7x−5)

−83−282−20+62+21+15

4

Solution

−83−222++15

I know this looks like a lot but its just how you solve your problem.

therefor, your answer is

Solution

−83−222++15

Hope this helps!

Have a great day!

-Hailey

Answer:

318 (rounded)

Step-by-step explanation:

d = diameter

c = circumference

d = c/3.14

hope this helps you

Answer:

f(x) = 1,024(0.50)x

Step-by-step explanation:

i just took the test :)

Answer:

261

Step-by-step explanation:

Answer:

rfgvsdgsgvbd fs e gbaebg g

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

to answer this question :

Volume of a cylinder = nr^2h

n = 22/7

r = radius = 6

h = height = 12

(22/7) x (6^2) x (12)  = 1357.71 in^3

Volume of a cone 1/3(nr^2h)

n = 22/7

r = radius = 3

h = height =

4

(1/3) x (22/7) x (3^2) x (4) = 37.71

1357.71 / 37.71 = 36 times

Answer:

Step-by-step explanation:

cos(∠X) = adj./hyp.

arccos(adj./hyp.) = ∠X

arccos(13/18) = 43.761...≈ 43°

Answer: 6336 ft.

Step-by-step explanation:

If you were asking what 1.2 miles equals in feet, your answer would be 6336 feet. Good luck on your test tomorrow!

Answer:

6336 feet

Step-by-step explanation:

each mile has 5280 feet. Simply multiply 1.2 by 5280 to get your answer