Susanna walked 2/7 of a mile in two over five of an hour what is a unit rate in miles per hour

Recall the half-angle identity for sine,

sin²(x/2) = (1 - cos(x))/2

Then the given equation is identical to

sin²(θ) = 1 - cos(θ)

Also recall the Pythagorean identity,

sin²(θ) + cos²(θ) = 1

Then we rewrite the equation as

1 - cos²(θ) = 1 - cos(θ)

Factoring the left side, we have

(1 - cos(θ)) (1 + cos(θ)) = 1 - cos(θ)

and so

(1 - cos(θ)) (1 + cos(θ)) - (1 - cos(θ)) = 0

and we factor this further as

(1 - cos(θ)) (1 + cos(θ) - 1) = 0

which gives

cos(θ) (1 - cos(θ)) = 0

Then either

cos(θ) = 0   or   1 - cos(θ) = 0

cos(θ) = 0   or   cos(θ) = 1

[θ = arccos(0) + 2nπ   or   θ = -arccos(0) + 2nπ]

…   or   [θ = arccos(1) + 2nπ   or   θ = -arccos(1) + 2nπ]

(where n is any integer)

[θ = π/2 + 2nπ   or   θ = -π/2 + 2nπ]   or   [θ = 0 + 2nπ]

In the interval 0 ≤ θ < 2π, we get three solutions:

• first solution set with n = 0   ⇒   θ = π/2

• second solution set with n = 1   ⇒   θ = 3π/2

• third solution set with n = 0   ⇒   θ = 0

So, the first choice is correct.

The exact area of triangle ABC is 93.51 cm².

The given parameters;

The base of the triangle is calculated by using trigonometry ratio as follows;

[tex]tan (30) = \frac{b}{18} \\\\[/tex]

where;

[tex]b = 18 \times tan(30)\\\\b = 10.39 \ cm[/tex]

The area of the triangle ABC  with the calculated base and given height is calculated as follows;

[tex]A = \frac{1}{2} \times base \times height\\\\A = \frac{1}{2} \times 10.39 \times 18\\\\A = 93.51 \ cm^2[/tex]

Thus, the exact area of triangle ABC is 93.51 cm².

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Answer:

1/3

Step-by-step explanation:

2 blue 1 green 4 red

Answer:

2:1 OR as a fraction, 2/1

Step-by-step explanation:

We don't know the actual length or width of this pool, like we don't know a number, as in exactly how many feet or meters long or wide this pool is. For this question, we don't need to know. "Twice" means 2 times. So if we consider the width (which we don't know) and call it w, then the length, (which we also don't know) which is two times as long, would be 2w

Width = w

Length = 2w

Ratio of Length to Width is

2w:w or as a fraction 2w/w

This can be simplified to

2:1 or as a fraction 2/1

Answer:

62% = 31 / 50

Step-by-step explanation:

62/100

if you need to simplify then it would be 31/50

Answer:

y=K*x equation

k=constant of variation

y= 4 when x = 10

Step-by-step explanation:

8=k*20

divide both sides by 20 to solve for k

2/5=k

y=2/5 *10

y= 4 when x = 10

Answer:

i think D. All of the above would generate a sphere is answer

Answer:

[tex]V(x)=4x^3-112x^2+720x[/tex]

Step-by-step explanation:

[tex](36-2x)(20-2x)x[/tex]

[tex](720-72x-40x+4x^2)x[/tex]

[tex](4x^2-112x+720)x[/tex]

[tex]4x^3-112x^2+720x[/tex]

Therefore, the resulting volume would be [tex]V(x)=4x^3-112x^2+720x[/tex]

Answer:

NO SOLUTION

Step-by-step explanation:

By the give me brainlist please

7 x 27               189

              =    -------------------

9 x 1                     9

Answer:

35 remainder 1

Step-by-step explanation:

71 ÷ 2 = 35.5

The 35 is the whole number part of your answer. The .5 part of the answer is .5 of 2, which is 1

OR you can think that

35 × 2 =70. The 1 is the remaining part from 71.

Answer:

c. copy an angle.

there's no angle in this as far as I can see.

Answer:

3/16

Step-by-step explanation:

3/4÷4=3/16

Since there are 4 people, not 3, divide the remaining pizza by 4.

Answer:

Segment ED has the same length as EA

The line segment which is equal to EA is ED. Therefore, option B is the correct answer.

In the given diagram, a line perpendicular to line AB passes through point C.

A tangent to a circle is a line which intersects the circle at only one point. The common point between the tangent and the circle is called the point of contact.

The length of two tangents drawn from an external point to a circle is equal.

From the given figure we can see there are three circles, two large circles and one small circle.

Line segment EA is tangent to a small circle.

The line segment which is equal to EA is ED because ED is another tangent to a small circle from the same external point.

The line segment which is equal to EA is ED. Therefore, option B is the correct answer.

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Answer:

I think it is undefined.

Answer:

none of these is the answer

hope it helps you

Step-by-step explanation:

Hope it will help you...

so tan = me sun bathing for 2.5 second

Answer:

P = 17.50x + 200

Step-by-step explanation:

x is the number of hours worked

P is how much money Geoff earns

Answer:

Step-by-step explanation:

Freddie rate of mowing=3/2=1.5 lawns /hr.

Tom's rate of mowimg=2 lawns/hr

so Tom can mow Smith's lawn faster.

Answer:

1/2

Step-by-step explanation:

5 / 10 = 1/2

Answer:

C.) 42 cm

Step-by-step explanation:

When you enlarge the rectangle by a scale of 3, you are multiplying its perimeter by 3

2*2+5*2=4+10=14

14*3=42

Answer:

10.7°

Step-by-step explanation:

SOH CAH TOA

Tan(BCA) = x/y

= 4/21

BCA= Tan`¹(4/21)

= 10.7856

to 3SF = 10.7°

Answer:

LETS

GO

BRANDON

Step-by-step explanation:

cheater bro wyd ur doing a diagnostic try ur best lol

Answer:

1/2

Step-by-step explanation:

We can use the slope formula to find the slope

m = ( y2-y1)/(x2-x1)

We have two points on the line

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

m = ( 4-3)/(1 - -1)

   = (4-3)/(1+1)

    = 1/2

Answer:

Start where the line meets a point. Then go up and over until it meets another.

The answer is 1/2

So go up one and over two. Then other problems such as this one should be pretty straight forward

Answer:

√6/2+1

Step-by-step explanation:

multiplying by √6/√6, we get √6(3+√6)/6=(3√6+6)/6=√6/2+1

Answer:

Multiples: 16, 32, 48, 64, 80 Factors: 1, 2, 4, 8 and 16

Step-by-step explanation:

hope this helped :3

Answer:

A) a0 + a1 + a2 + a3 + a4 + a5

Step-by-step explanation:

Answer:

A) a0 + a1 + a2 + a3 + a4 + a5

Step-by-step explanation:

[tex]4x-15 = 17-4x\\\\\implies 4x +4x = 17 +15\\\\\implies 8x = 32\\\\\implies x = \dfrac{32} 8\\\\\implies x = 4[/tex]