Find an angle with a positive measure and an angle with a negative measure that is coterminal with each angle 210° and - 120°

Answers

Answer 1

Answer:

For angle of 210°, coterminal angles are; 570° and -150°.

For angle of -120°, coterminal angles are; 240° and -480°

Step-by-step explanation:

Since we are asked to angle find angle that's coterminal, we will add/ subtract 360° from each angle respectively to get that because coterminal angles are defined as those that share the same terminal side. Thus;

For angle of 210°, coterminal angles are;

>> 210° + 360° = 570°

>> 210° - 360° = - 150°

For angle of -120°, coterminal angles are;

>> - 120° + 360° = 240°

>> - 120° - 360° = - 480°


Related Questions

As Soon As Possible! (please)


Each day a supernatural termite can eat 35% more wood grains that it did the day before. If a 20-day old termite has eaten 97,231 grains of wood, how many wood grains (to the nearest grain) will it eat on the 22nd day?

A) 84 grains
B) 130,745 grains
C) 176,589 grains
D) 235,768 grains

Answers

I believe it is C because it I s bigger but not to big of a amount please tell me if I am wrong

Solve the following equation for a. Be sure to take into account whether a letter is capitalized or not.

d+a=h

Answers

Answer:

do you have an attatchment or guide i can use to answer this?

Step-by-step explanation:

Transposing a,

[tex]d + a = h \\ a = h - d[/tex]

Given that P(A and B) = 0.20 and P(A|B) = 0.40, what must the P(B) = ?
a. 0.1
b. 0.2
c. 0.4
d. 0.5

Answers

Answer:

The value of P(B) = 0.5

Step-by-step explanation:

Given:

Value of P(A and B) = 0.20

Value of P(A|B) = 0.40

Find:

The value of P(B)

Computation:

P(A and B) = P(A|B) x P(B)

By putting value of P(A and B)  and P(A|B)

⇒ 0.20 = 0.40 x P(B)

⇒ The value of P(B) = 0.20 / 0.40

⇒ The value of P(B) = 20 / 40

⇒ The value of P(B) = 1 / 2

The value of P(B) = 0.5

140.23 < 140.203 what is the answer true or false.

Answers

Answer:

true

Step-by-step explanation:

Answer:

false because 140.23 is not less then 140.203

EASY BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 100pts-

(if you put links or don't answer accordingly im reporting your account)

Answers

opposite pairs of triangles are congruent.

Answer:

Opposite pair of triangles are congruent

Step-by-step explanation:

Because in parallelogram

Opposite sides are congruentOpposite angles are congruent

So.opposite pair of triangles are congruent

pls help me with these and can you do them all and mitch you show me how to and I don't care if you use photo math thank you and use give me the best will be thank and brainlist.

Answers

Show the thing that you need to solve
Show the problems needed to be solved and I would be more glad than to help you love

Please tell me the process to change a percent to a decimal

Answers

X% means X/100
To change percent to decimal divide it with 100.
Example 75% = 75/100 = 0.75

While flipping a weighted coin, Latrell gets 4 heads and 2 tails. Based on experimental probability, how many of the next 3 flips should Latrell expect to come up heads?

Answers

Answer:  2 heads

Step-by-step explanation:

First, write the experimental probability as a fraction in simplest form.

P(heads)

=

heads

total

=

heads

heads+tails

=

4

4+2

=

4

6

=

2

3

The experimental probability is

2

3

.

We can predict the outcome of the second set of trials by assuming that the ratio will be the same as in the first set of trials. Write a proportion by setting the two ratios equal to each other, then solve.

2

3

=

n

3

2

3

(33)

=

n

3

(33) Multiply both sides by (33)

23

= 3n Simplify

6

= 3n Simplify

2

= n Divide both sides by 3

Based on experimental probability, Latrell should expect 2 of the next 3 flips to come up heads.

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What evidence shows that the uprisings at Treblinka and Sobibor were not a complete failure?

Both camps were closed after the uprising.
Prisoners attacked and killed SS men and guards.
Thousands of prisoners escaped and were never captured.
All gas chambers in camps were shut down.

Answers

Answer:

both camlps

Step-by-step explanation:

Answer:

B.) Prisoners attacked and killed SS men and guards.

Step-by-step explanation:

edge

Can someone tell me what I did wrong?

Answers

Answer:

The answer is 12 feet. .

Step-by-step explanation:

You have to multiply 3/4 or 0.75 by the number of tiles. So you would go, 0.75 x 10 and then 0.75 x 6 and add the answers together.

What is the combined area of the two bases of the following cylinder
The diameter is 12cm and the height is 15cm
A. 452.16cm^2
B. 904.32cm^2
C. 113.04cm^2
D. 226.08cm^2

Answers

D. 226.08cm^2

Since we are finding the combined area of the two bases of the cylinder, we are adding the area of the first base with the second base. The formula for the base of a cylinder is pi x r^2, since it is a circle. Since the bases are the same, we can rewrite this as 2pi x r^2.

Since the diameter is 12cm and r = 1/2 diameter, r = 6cm.

Thus, A = 2(3.1415)(6)^2 = 226.08cm^2

Five boys each have 8 marbles. If all
their marbles are collected and placed

into
8heaps, how many marbles will there be in each jeap ?​

Answers

5 marbles.

We first need to find how many marbles we have in total.

8 marbles * 5 boys = 40 marbles.

These 40 marbles will now be divided by 8, since we are taking the total amount of marbles we have and separating them into 8 different piles.

40/8 = 5

There will be 5 marbles in each heap.

In the figure, OA is a diameter of the smaller circle and O is the centre of the larger circle. Find the
area of the shaded region.


Answers

Answer:

942 6/7 cm²

Step-by-step explanation:

Since O = Center of bigger circle, OA = Radius of bigger circle.

∴ Area of smaller circle - Area of bigger circle = Area of shaded part.

∴ Area of smaller circle = 22/7 × 10²

                                       = 22/7 × 100

                                       = 2200/7

                                       = 314 2/7 cm²

∴ Area of bigger circle = 22/7 × 20 ²

                                      = 22/7 × 400

                                      = 1257  1/7 cm²

∴ Area of shaded part = 1257 1/7 - 314 2/7

                                     =  942 6/7 cm²

Can somebody help me with writing a real-life problem on this subject Finding angle measures of a right or isosceles triangle given angles with variables thank you?

Answers

Answer:

See Explanation

Step-by-step explanation:

See attachment for illustration

(a) Right triangle

The sum of [tex]angles[/tex] in a [tex]right[/tex] [tex]triangle[/tex]is:

[tex]x + y + 90 = 180[/tex]

Subtract 90 from bot sides

[tex]x + y = 90[/tex]

Make x the subject

[tex]x = 90 - y[/tex]

Make y the subject

[tex]y = 90 - x[/tex]

This implies that, subtract the known angle from 90 to get the unknown angle.

Assume [tex]x = 40[/tex]

We make use of: [tex]y = 90 - x[/tex]

[tex]y = 90 - 40 = 50[/tex]

(b) Isosceles triangle

The sum of angles in an isosceles triangle is:

[tex]x + y + y = 180[/tex] ---- y appear twice because the base angles are equal

[tex]x + 2y = 180[/tex]

Make x the subject

[tex]x = 180 - 2y[/tex]

Make y the subject

[tex]y = \frac{180 - x}{2}[/tex]

Assume [tex]x = 40[/tex], we make use of:

[tex]y = \frac{180 - x}{2}[/tex]

[tex]y = \frac{180 - 40}{2}[/tex]

[tex]y = \frac{140}{2}[/tex]

[tex]y = 70[/tex]

Assume [tex]y = 70[/tex], we make use of:

[tex]x = 180 - 2y[/tex]

[tex]x = 180 - 2 * 70[/tex]

[tex]x = 180 - 140[/tex]

[tex]x = 40[/tex]

the diameter is a circle is 18cm. Find it’s circumference in terms of π.

C= ________cm

Answers

answer should be 56.55

Answer:

the answer interm of pie will be 18π

Step-by-step explanation:

circumference of circle is given as πD where D is the diameter , we have been given diameter as 18 , hence c=πD will be 18π

Ignacia is comparing prices on pineapple juice. Brand A sells 24 oz. for $2.64. Brand B sells 36 oz. for $3.60. Brand C sells 12 oz. for $1.68. Brand D sells 100 oz. for $10.50. Which brand offers the best price per oz.?

Answers

Answer:

I think A or D but i'm stuck on D

Step-by-step explanation:

Answer:

D because if you multiply all the other brands to get a 100oz they are more expensive/ high than D.

PLEASE HELP!!!! I'LL GIVE BRAINLIEST NO LINKS OR YOU'LL BE REPORTED:)))))))))) Describe the distributive property. How is it different from other properties. Can you give an example?

Answers

Answer:

when u distribute a number you are basically giving the number off and multiplying other factors by that number

Step-by-step explanation:

3(x+4) ( distribute the 3 ) so u would multiply the 3 by both factors ( the x and the 4) getting 3x+12

Describe two ways to write 7/3 as a mixed number

Answers

Answer:

2 1/3 and 1 1/6

Step-by-step explanation:

Plz help down below is the question

Answers

Answer:

The answer would be exactly 250 messages.

0.50 × x = $125

125÷ 0.50=250

Hope this helps!

when the “a” value is negative in any quadratic what do you know about the graph?

Answers

Answer:

when a is negative, the parabola opens downward

Step-by-step explanation:

Find the volume of a cone with a diameter of 12 m and a height of 5 m.
A. 60 m3
B. 60 m3
C. 240 / m3
D. 1807 m3
Please help!!! Need fast will mark Brainiest if correct!

Answers

Answer:

60[tex]\pi[/tex] m³

Step-by-step explanation:

Use the cone volume formula, V = [tex]\pi[/tex][tex]\frac{h}{3}[/tex]

If the diameter is 12 m, the radius will be 6 m.

Plug in the height and radius into the formula, and solve:

V = [tex]\pi[/tex]r²[tex]\frac{h}{3}[/tex]

V = [tex]\pi[/tex](6²)[tex]\frac{5}{y}[/tex]

V = [tex]\pi[/tex](36)[tex]\frac{5}{3}[/tex]

V = 60[tex]\pi[/tex]

So, the volume of the cone is 60[tex]\pi[/tex]

a bacteria culture starts with 720 bacteria and grows at an exponential rate calculator. after 2 hours there will be 1440 bacteria. give your answer accurate to at least 4 decimal places.

Answers

Answer:

y(t) = 720e^0.3466t

y = 2036.6288

Step-by-step explanation:

The exponential relation :

y = Ae^kt

A = initial value ; y = final value ; r ; k = exponential rate, t = time

At t = 0

y = 720e^0 ; y = 720

At t = 2 ; y = 720e^2k

1440 = 720e^2k

1440/720 = e^2k

2 = e^2k

Take the In of both sides

0.6931471 = 2k

k = 0.6931471 / 2

k = 0.3466

Hence, equation becomes :

y = 720e^0.3466t

After 3 hours ;

t = 3

y = 720e^0.3466*3

y = 720e^1.0398

y = 720 * 2.8286512

y = 2036.6288

Elisa y Romina tienen 5/8 de pizza y decidieron dividírsela en partes iguales. ¿Qué parte de la pizza completa le tocó a cada una?

Answers

Answer:

Elisa y Romina comieron 5/16 de la pizza completa cada una.

Step-by-step explanation:

Dado que Elisa y Romina tienen 5/8 de pizza y decidieron dividírsela en partes iguales, para determinar qué parte de la pizza completa le tocó a cada una se debe realizar el siguiente calculo:

(5/2) / 8 = X

2.5 / 8 = X

0.3125 = X

0.3125 = 5/16

Por lo tanto, Elisa y Romina comieron 5/16 de la pizza completa cada una.

The sum of a triangle's sides is
34.5 cm. The shortest side is
7.5 cm and the middle-length
side is 3 cm longer than the
shortest side. Find the length
of the third side and classify
this triangle by the lengths of
its sides.

Answers

Step-by-step explanation:

Therefore the third side should be less than 12+15 = 27cm

And also the third side cannot be less than the difference of the two sides

Therefore, the third has to be more than 15-12 = 3cm

Thus, the third side could be the length more than 3cm and less than 27cm.

f(x) = 2x^2 - 5x - 15
g(x) = -2x - 1
find f(g(x)) ... somebody help me :(

Answers

Answer:

f(g(x)) = 8x² + 18x - 8

Step-by-step explanation:

Substitute x = g(x) into f(x) , that is

f(g(x))

= f(- 2x - 1)

= 2(- 2x - 1)² - 5(- 2x - 1) - 15

= 2(4x² + 4x + 1) + 10x + 5 - 15

= 8x² + 8x + 2 + 10x - 10

= 8x² + 18x - 8

Verify that:
1. (CosX)(CotX) = CscX - SinX

2. (Csc X - CotX)^2 = 1-CosX/1+CosX

These were the last two questions on my Homework that I couldn’t figure out after many tries! Thank you to anyone who helps!

Answers

Answer:

See Below.

Step-by-step explanation:

Problem 1)

We want to verify that:

[tex]\displaystyle \left(\cos(x)\right)\left(\cot(x)\right)=\csc(x)-\sin(x)[/tex]

Note that cot(x) = cos(x) / sin(x). Hence:

[tex]\displaystyle \left(\cos(x)\right)\left(\frac{\cos(x)}{\sin(x)}\right)=\csc(x)-\sin(x)[/tex]

Multiply:

[tex]\displaystyle \frac{\cos^2(x)}{\sin(x)}=\csc(x)-\sin(x)[/tex]

Recall that Pythagorean Identity: sin²(x) + cos²(x) = 1 or cos²(x) = 1 - sin²(x). Substitute:

[tex]\displaystyle \frac{1-\sin^2(x)}{\sin(x)}=\csc(x)-\sin(x)[/tex]

Split:

[tex]\displaystyle \frac{1}{\sin(x)}-\frac{\sin^2(x)}{\sin(x)}=\csc(x)-\sin(x)[/tex]

Simplify:

[tex]\csc(x)-\sin(x)=\csc(x)-\sin(x)[/tex]

Problem 2)

We want to verify that:

[tex]\displaystyle (\csc(x)-\cot(x))^2=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Square:

[tex]\displaystyle \csc^2(x)-2\csc(x)\cot(x)+\cot^2(x)=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Convert csc(x) to 1 / sin(x) and cot(x) to cos(x) / sin(x). Thus:

[tex]\displaystyle \frac{1}{\sin^2(x)}-\frac{2\cos(x)}{\sin^2(x)}+\frac{\cos^2(x)}{\sin^2(x)}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Factor out the sin²(x) from the denominator:

[tex]\displaystyle \frac{1}{\sin^2(x)}\left(1-2\cos(x)+\cos^2(x)\right)=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Factor (perfect square trinomial):

[tex]\displaystyle \frac{1}{\sin^2(x)}\left((\cos(x)-1)^2\right)=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Using the Pythagorean Identity, we know that sin²(x) = 1 - cos²(x). Hence:

[tex]\displaystyle \frac{(\cos(x)-1)^2}{1-\cos^2(x)}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Factor (difference of two squares):

[tex]\displaystyle \frac{(\cos(x)-1)^2}{(1-\cos(x))(1+\cos(x))}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Factor out a negative from the first factor in the denominator:

[tex]\displaystyle \frac{(\cos(x)-1)^2}{-(\cos(x)-1)(1+\cos(x))}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Cancel:

[tex]\displaystyle \frac{\cos(x)-1}{-(1+\cos(x))}=\frac{1-\cos(x)}{1+\cos(x)}[/tex]

Distribute the negative into the numerator. Therefore:

[tex]\displaystyle \frac{1-\cos(x)}{1+\cos(x)}=\displaystyle \frac{1-\cos(x)}{1+\cos(x)}[/tex]

Write a system of linear inequalities represented by the graph.​

Answers

Answer:

Alright so youd havee to right the terms in order which should be easy then your done! Hope this helped!

Step-by-step explanation:

A 2-liter bottle of soda pop contains 2,000 milliliters.
True
False

Answers

Answer:

TRUE!

Step-by-step explanation:

1 liter (L) = 1000 milliliters (mL)

If you have 2 Liters, then you would DOUBLE the milliliters (2000)

Which radio costs 150% as much as Radio D?

Answers

Im just geussing but i think its b

What’s the volume of one cylinder?

Answers

Answer:

For the first one its: Volume = 402.12in³

For the second one its: Volume = 201.0619 in³

Step-by-step explanation:

For the first one work:

Volume = 3.1416 x 42 x 8

= 3.1416 x 16 x 8

For the second one work:

Volume = 3.1416 x 42 x 4

= 3.1416 x 16 x 4

Answer:

the formula is : V=πr2h

the volume of the first cylinder is 402.12cm³ and the second is 201.06cm³ (these answers are rounded to two decimal places)

Step-by-step explanation:

Volume is pi times the radius squared (which is 4 in both these cylinders) times the height of the cylinder which is 8 in the first cynlinder and 4 in the second.

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