Convert the following angle from degrees to radians. Express your answer in simplest
form.
150°

Answer:

Step-by-step explanation:

1)

a/c =b/d  where a=27 c=30 b=x d=18

27/30 = x/18

27*18/30=x

16.2 = x

2)

a/c =b/d  where a=2x-5 c=x+11 b=16 d=14

2x-5 / x + 11  = 16 / 14

14(2x-5) = 16(x+11)

28x - 70 = 16x + 176

12x = 246

x = 20.5

3)

6+15 / 7+x  = 7 /6

6(6+15) = 7(7+x)

6*21 = 49 +7x

126 = 49 +7x

77 = 7x

11 = x

4)

3*[(x-6)+3]=[tex]6^{2}[/tex]

3(x-3) = 36

3x-9 = 36

3x = 45

x = 15

Answer:

Fern will knit 32 scarves in 8 nights.

Step-by-step explanation:

Number of scarves knitted by Fern in 5 night = 20

Relation between number of scarves knitted and number of nights is proportional,

Therefore, Number of scarves knitted (s) ∝ Number of nights spent to knit the scarves (n)

s ∝ n

s = kn

k = [tex]\frac{s}{n}[/tex]

Here, k = proportionality constant

For s = 20 and n = 5,

k = [tex]\frac{20}{5}[/tex]

k = 4 scarves per night

For 8 nights, by using the same proportionality rule,

k = [tex]\frac{s}{8}[/tex]

4 = [tex]\frac{s}{8}[/tex]

s = 32 scarves

Therefore, Fern will knit 32 scarves in 8 nights.

Answer: SirBreadCrumbs5621 the person that answered is correct it’s C, I don’t know how to reply

Step-by-step explanation:

Answer:

1/5^8 ⋅ 5^5

Step-by-step explanation:

Answer:

[tex]\frac{1}{5^{3} }[/tex]

Step-by-step explanation:

Using the rules of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex] ,  [tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]

[tex]5^{-8}[/tex] × [tex]5^{5}[/tex]

= [tex]5^{(-8+5)}[/tex]

= [tex]5^{-3}[/tex]

= [tex]\frac{1}{5^{3} }[/tex]

Answer:

Mel's height is 159cm, her brother's height is 177cm and their grandma's height is 166cm.

Step-by-step explanation:

Let the grandma's height be g cm.

Mel's height= (g -7) cm

Brother's height= (g +11) cm

Total height

= Mel's height +brother's height +grandma's height

= g -7 +g +11 +g

= (3g +4) cm

Given that their total heights is 502 cm,

(3g +4) cm= 502 cm

3g +4= 502

3g= 502 -4 (-4 on both sides)

3g= 498

g= 166 (÷3 on both sides)

To find their heights, substitute g= 166 back into the expressions.

Grandma's height= 166cm

Mel's height

= 166 -7

= 159cm

Brother's height

= 166 +11

= 177cm

Answer:

A/$73.01

Step-by-step explanation:

Step One (1) : 35% off of $96 is %63.03. (This removes option D)

Step Two (1) : $63.03+The Shipping Fee ($4.99)

Step Three (3) : Add the 9% Processing Fee

Step Four (4): The Answer is $73.01!

I hope this helps and I hope you have a great day!

Im pretty sure its $32.4

Step-by-step explanation:

Answer:

10.19 cubic yards

Step-by-step explanation:

8*4=32

32 divided by 3.14= 10.19

Answer:

Sawyer had $50 in his account before his purchase.

Step-by-step explanation:

$10.25 + $39.75 = $50

So he had $50 before he bought the journal

                   Hope this helps! good luck :)

Answer:

The answer is -0.7

Step-by-step explanation:

is the right answer

Answer:

-0.7

Step-by-step explanation:

Multiply-

Or use a calculator-

[tex]5 \times 10 + \frac{7 + 10}{2} \times 4 = 50 + 17 \times 2 = 50 + 34 = 84[/tex]

Answer:

i believe the area is 92

Step-by-step explanation:

Answer:

A. 12 ≥ w ≥ 33

Step-by-step explanation:

So as wide as 33, means that it could be less than or equal to 33. And as narrow as 12 means greater than or equal to 12, so put that together and we have our answer

if this is wrong let me know so I can fix it

hope this helps:)

Answer: A≈12.57mi²

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The transformation, the value of the table is B (-5,3) B 2.

We have given that,

Rectangle ABCD is translated (x + 2 y - 3) and then rotated 180° about the origin.

We have to complete the table to show the locations of A'. B', C', and D'  after both transformations.

A transformation is a function f, usually with some geometrical that maps a set X to itself, and f: X → X.

Therefore after the transformation, the value of the table is

B (-5,3) B 2.

To learn more about the transformation visit:

https://brainly.com/question/4289712

#SPJ5

Answer:

1.3

Step-by-step explanation:

when you divide figure 2 by figure 1 you get 1.3

Answer:

130

Step-by-step explanation:

? is an exterior angle of a triangle

An exterior angle is equal to the sum of the two opposite interior angles ( 35 and 95 in this case )

That being said the missing angle = 95 + 35

95 + 35 = 130

Hence, the answer is 130

Answer:

130

Step-by-step explanation:

1. We have a triangle and all angles in a triangle sum up to 180, so do 35+95 and then subtract the difference from 180, and you get 50

2. Now we have a linear pair next to 50' on the outside, signifying a linear pair, meaning that both angles should sum up to 180, so 180-50= 130

Have a good and safe day whoever reads this :)

Answer and Step-by-step explanation:

Work is in Picture:

#teamtrees #PAW (Plant And Water)

Answer:

The correct option is (b).

Step-by-step explanation:

Given that,

The radius of the circle, r = 8 cm

The area of the sector, [tex]A=56\pi \ cm^2[/tex]

We need to find the measure of the sentral angle. The formula for the area of a sector is given by :

[tex]A=\dfrac{1}{2} r^2\theta[/tex]

Where

[tex]\theta[/tex] is the central angle

Substitute all the values,

[tex]\theta=\dfrac{2A}{r^2}\\\\\theta=\dfrac{2\times 56\pi }{8^2}\\\\\theta=\dfrac{7\pi}{4}\ rad[/tex]

So, the correct option is (b).

Answer:

-27

Step-by-step explanation:

3(-2)³-2-1 =

3(-8)-3 =

-24-3=-27

Answer:

3.25 :)

Step-by-step explanation:

Answer:

3.25

Step-by-ste

Answer:

Both or neither

Step-by-step explanation:

If you input them into a calculator, then they have very similar slopes, and both go the same direction.

Sorry that I can't give you an absolute answer.

Hope that this helps!

Answer:

B

Step-by-step explanation:

Solving with formula of area of circle,B is the correct answer of this question.

9514 1404 393

Answer:

  a = 108°

  b = 24°

Step-by-step explanation:

a) The pentagon will have interior angles of 540°/5 = 108°.

 Angle a = 108°

__

b) The reflex angle at a vertex of the pentagon is 360° -108° = 252°. At the obtuse angle of the unshaded triangle, 120° of that amount is take up by two internal angles of the equilateral triangles. Those are 60° each. So, the obtuse angle in the unshaded triangle is ...

  252° -120° = 132°

That triangle is isosceles, so the angle at b is ...

  2b° +132° = 180°

  b = (180 -132)/2 = 48/2 = 24

  Angle b = 24°

Answer:

a = 108 °

b = 24°

Step-by-step explanation:

Answer:

84 ft^2

Step-by-step explanation:

Rectangle 1: Area = l x w = 3x6=16

Rectangle 2: 4x6= 24

Rectangle 3: 5x6=30

Triangle 1: A = 1/2 b x h = 1/2 x 4 x 3 = 6

Triangle 2: 1/2 x 4 x 3 = 6

Total = 16+24+30+6+6 = 84

Answer:

5 seconds

Step-by-step explanation:

When the rocket is on the ground, then h = 0 , that is

- 6t² + 30t = 0 ← factor out - 6t from each term

- 6t(t - 5) = 0

Equate each factor to zero and solve for t

- 6t = 0 ⇒ t = 0 ← when rocket is launched

t - 5 = 0 ⇒ t = 5 ← time when rocket returns to ground

Answer:

B) h = 3V/πr²

Step-by-step explanation: