Answer:

**Answer:**

__Missing reason/statements:__

- R1, R2, R3 - Given
- S4. ∠1 ≅ ∠3
- R4. Transitive property
- R5. Definition of congruence
- S6. m∠1 = 120°
- R6. Substitution

HELP PLEASE!!! 5-6! Help!!!

A giraffe is 5 m 20cm tall. An Elephant is 1m 77cm shorter than the giraffe. A rhinoceros is 1m 58 cm shorter than the elephant. How tall is the rhinoceros

What is the sum in simplest form?4 1/2 + 1 3/5

A boat propeller spins 1044 times in 3 MINUTES. Find the rate in revolutions per SECOND.

Carol keeps her toys in a box that is shaped like a rectangular prism. The height of the box is 24 inches, the width is 36 inches, and the length is 36 inches. Convert the dimensions from inches to feet, then find the volume of the toy box in cubic feet. Remember that 12 inches = 1 foot. A. 8 ft 3 B. 12 ft 3 C. 18 ft 3 D. 36 ft 3

A giraffe is 5 m 20cm tall. An Elephant is 1m 77cm shorter than the giraffe. A rhinoceros is 1m 58 cm shorter than the elephant. How tall is the rhinoceros

What is the sum in simplest form?4 1/2 + 1 3/5

A boat propeller spins 1044 times in 3 MINUTES. Find the rate in revolutions per SECOND.

Carol keeps her toys in a box that is shaped like a rectangular prism. The height of the box is 24 inches, the width is 36 inches, and the length is 36 inches. Convert the dimensions from inches to feet, then find the volume of the toy box in cubic feet. Remember that 12 inches = 1 foot. A. 8 ft 3 B. 12 ft 3 C. 18 ft 3 D. 36 ft 3

Answer:43.2

Step-by-step explanation: multiply 120 x 0.12 and you get 14.4, since it’s 3 hours multiply 14.4 3 times and u get 43.2

The line integral is

We have

so the integral reduces to

The** line integral** ∫C ysin(z) ds over the circular helix C, parametrized by x = cos(t), y = sin(t), z = t for 0 ≤ t ≤ 2π, evaluates to π√2.

To evaluate the line integral ∫C ysin(z) ds over the circular helix C given by x = cos(t), y = sin(t), z = t for 0 ≤ t ≤ 2π, we follow these steps:

1. **Parameterize** the curve: C is already parameterized as x = cos(t), y = sin(t), z = t.

2. Find the differential ds: ds = √(dx² + dy² + dz²) = √(sin²(t) + cos²(t) + 1)dt = √(1 + 1)dt = √2 dt.

3. Evaluate the integral: ∫C ysin(z) ds = ∫[0, 2π] sin(t) * sin(t) * √2 dt = ∫[0, 2π] sin²(t) * √2 dt.

Now, we'll integrate sin²(t) * √2 with respect to t:

∫ sin²(t) * √2 dt = (1/2) * ∫ (1 - cos(2t)) * √2 dt.

Using the power rule for **integration**, we get:

(1/2) * [(t - (1/2) * sin(2t)) * √2] | [0, 2π].

Plugging in the **limits**:

(1/2) * [(2π - (1/2) * sin(4π) - (0 - (1/2) * sin(0))) * √2].

Since sin(4π) = sin(0) = 0:

(1/2) * [(2π - 0 - 0) * √2] = π√2.

So, ∫C ysin(z) ds = π√2.

For more such questions on** Line Integral** :

#SPJ6

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7 6 5 4

5

3

2

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1

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-2 -1

-1

1 2 3 4

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6 7

8x

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Yes, this is a function. It does pass the vertical line test.

No, this is not a function. It does NOT pass the vertical line test.

11

What is the independent variable of the following statement?

Luke

goes to the store to buy some candy, The more money he has, the more candy he will buy.

The amount of candy he buys

The amount of money he has

The store he goes to

The type of money he has

10.Yes

11.Number 3

I hope this helps

11.Number 3

I hope this helps

Yes it’s a function and A the amount of candy

**Answer:**

38 units

**Step-by-step explanation:**

Counting the fully filled as well as more than half filled as 1 unit, but ignoring the less than half field,

Since, there are no half filled,

Area= Number of fully filled+ Number of more than half filled

=38 units

The **angle** will a **35-ft**.** ladder** make the **horizontal** if it **reaches** the** sample spot** is .

Given that,

A** 30-ft. ladder** makes an **angle **of **60 degrees** with the** horizontal.**

We have to **find,**

The **angle** will a** 35ft.****ladder** make the **horizontal** if it reaches the **sample spot.**

**According** to the **question,**

A **30-ft. ladder** makes an **angle **of **60 degrees** with the** horizontal** when it **reaches** a given **spot **on a **wall. **

**h** = ** 30sin60**

Then, the** angle **will a **35-ft. ladder** make the** horizontal **if it reaches the **sample spot.**

Hence, The **angle** will a **35-ft. ladder** make the** horizontal** if it **reaches** the **sample spot** is

For more information about **Trigonometry** click the link given below.

So first you must find the height at which the "spot" is where the ladder touches the wall...

sin60=h/30

h=30sin60

Now we can find the angle that the 35 ft ladder make when it touches the same spot.

sinα=h/35 and using h we found earlier...

sinα=(30sin60)/35

α=arcsin[(30sin60)/35]

α≈47.93 (α≈47º55'42")

sin60=h/30

h=30sin60

Now we can find the angle that the 35 ft ladder make when it touches the same spot.

sinα=h/35 and using h we found earlier...

sinα=(30sin60)/35

α=arcsin[(30sin60)/35]

α≈47.93 (α≈47º55'42")

**Answer:**

**Step-by-step explanation:**

Given the number: 0.035 which has three decimal place

- Case 1: if we multiply by 10

=> we have: 0.035*10 = 0.35

Hence, the product 0.35 which is smaller than 1 (we do not accept)

- Case 2: if we multiply by 1000

=> we have: 0.035*1000 = 35

Hence, the product 35 which is greater than 1 and less than 100

- Case 3: if we multiply by 100

=> we have: 0.035*100= 3.5

Hence, the product 3.5 which is greater than 1 and less than 100

- Case 4: if we multiply by 10000

=> we have: 0.035*10000= 350

Hence, the product 350 which is greater than 100 (we do not accept)

Therefore, we have two expression: