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Lana71 [14]
1 year ago
12

For a positive angle, the rotation from the initial side to the terminal side takes place in a ___________ direction. For a nega

tive angle, the rotation takes place in a -_________ direction
Mathematics
1 answer:
ladessa [460]1 year ago
5 0

For a positive angle, the rotation from the initial side to the terminal side takes place in an anticlockwise direction and for a negative angle, the rotation takes place in a clockwise direction is the correct answer.

In this question,

An angle is formed when two straight lines or rays meet at a common endpoint. The measure of the 'opening' between these two rays is called an 'angle'. The common point of contact is called the vertex of an angle.

When measuring the angle, one arm is fixed as the base while the other moves clockwise or counterclockwise to form an angle between the two. Rotation is measured from the initial side to the terminal side of the angle.

The amount of rotation of a ray from its initial position to final position in anticlockwise direction is called positive angle. An angle generated in a clockwise direction from the base is a negative angle.

Hence we can conclude that for a positive angle, the rotation from the initial side to the terminal side takes place in an anticlockwise direction and for a negative angle, the rotation takes place in a clockwise direction is the correct answer.

Learn more about positive and negative angle here

brainly.com/question/21680081

#SPJ4

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A pencil consists of a cone stacked on top of a cylinder. The diameter of the cylindrical base of the pencil is 10 mm and the he
11Alexandr11 [23.1K]

Answer:

790π

Step-by-step explanation:

We are given;

Diameter of cylinder;d = 10 mm

So, radius;r = 10/2 = 5 mm

Height of cylinder;h = 70mm

Surface area of cylinder is given by the formula; S.A = 2πr² + 2πrh

Plugging in the relevant values, we have;S.A = 2π(5)² + 2π(5)(70)

S.A = 50π + 700π

S.A = 750π

Now, because one base of the cylinder is hidden as the cone is stacked on that face, we will deduct the area of that base face;

Thus, Surface area = 750π - π(5)² = 750π - 25π = 725π

For the cone,

Height;h = 12mm

Since this is stacked directly on the cylinder, it will have the same radius. Thus; radius;r = 5mm

Now,formula for surface area of cone is;

S.A = πr² + πrL

Where L is slant height.

We can use pythagoras theorem to get L.

So, L² = r² + h²

L = √r² + h²

L = √(5² + 12²)

L = √(25 + 144)

L = √169

L = 13

So, S.A of cone = π(5)² + (π×5×13)

S.A = 25π + 65π = 90π

Similar to what was done to the Cylinder, since the circular base of the cone is stacked on the cylinder, we will deduct the surface area of that base as it is hidden.

So, S.A is now = 90π - π(5)²

= 90π - 25π = 65π

Thus,total surface area of the pencil = 725π + 65π = 790π

7 0
3 years ago
Read 2 more answers
Find the area of the figure. The area is square inches.<br><br>please help!​
Nostrana [21]

Answer:

154 inchs

Step-by-step explanation:

22 * 14 divided by 2

7 0
3 years ago
What is the measure of the largest angle on the triangle!
nalin [4]
Okay, so as you may know the inside angles of a triangle always add up to 180! so you must first find x, so that means add up all equations to find x. your answer is 41




























6 0
3 years ago
Read 2 more answers
Marcelina uses a blend of white corn and yellow corn to make tortilla chips at her restaurant. She needs to buy 50kg of corn in
zlopas [31]

Answer:

Option D. Marcelina spends less that the intended amount of money and buy less than enough corn

Step-by-step explanation:

Let

x---->  is the amount of white corn she buys

y ---> is the amount of yellow corn she buys

we know that

She needs to buy 50 kg of corn in total

so

x+y=50 ----> equation A

She wants to spend $12 dollars total

so

0.30x+0.15y=12 ----> equation B

The solution of the system of equations is the intersection point both graphs

The solution is the point (30,20)

That means

Marcelina needs to buy 30 kg of white corn and 20 kg of yellow corn

we have the ordered pair F(15.15)

That means

15 kg of white corn and 15 kg of yellow corn

therefore

Total kg of corn bought is

15+15=30\ kg

30\ kg < 50\ kg

Total spend is

0.30(15)+0.15(15)=\$6.75

\$6.75

therefore

Marcelina spends less that the intended amount of money and buy less than enough corn

6 0
3 years ago
Read 2 more answers
A clothing manufacturer uses the model a=f+4−−−−√−36−f−−−−−√ to estimate the amount of fabric to order from a mill. In the formu
Anit [1.1K]

Questions:

A clothing manufacturer uses the model a = √(f + 4) - √(36 - f) to estimate the amount of fabric to order from a mill. In the formula, a is the number of apparel items (in hundreds) and f is the number of units of fabric needed. If 400 apparel items will be manufactured , how many units of fabric should be ordered?

Answer:

32 units of fabrics

Step-by-step explanation:

Given

a = \sqrt{f + 4} - \sqrt{36 - f}

Required

Find f when a  = 4

Substitute 4 for a

4 = \sqrt{f + 4} - \sqrt{36 - f}

Rewrite as:

\sqrt{36 - f} + 4 = \sqrt{f + 4}

Square both sides

(\sqrt{36 - f} + 4)^2 = (\sqrt{f + 4})^2

(\sqrt{36 - f} + 4)^2 = f + 4

36 - f + 8\sqrt{36 - f} + 16 = f + 4

Collect Like Terms

8\sqrt{36 - f}= f +f+ 4 - 36 -16

8\sqrt{36 - f}= 2f -48

Divide through by 2

4\sqrt{36 - f}= f -24

Square both sides

16(36-f) = (f - 24)^2

16(36-f) = f^2 - 48f + 576

576-16f = f^2 - 48f + 576

-16f = f^2 - 48f

Collect like terms

f^2 - 48f + 16f = 0

f^2 -32f = 0

Factorize

f(f - 32) = 0

f = 0 or f = 32

f can not be 0 because some units must be ordered.

So, f = 32

6 0
3 years ago
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