Solve each equation in the interval from 0 to 2pi. Round your answer to the nearest hundredth.
a. 3cos 4theta= -2
b. cos(pi theta)= -0.6

Answers

Answer 1

I think the answer is b. cos(pi theta)= -0.6

Answer 2

The requried solution of the equations in the interval form are a. (-0.575, 0.575) and b. (0.71, 3.43).

What are trigonometric equations?

These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.


a.

We can solve for theta by dividing both sides by 3, then taking the inverse cosine of both sides. Remember that there will be two solutions in the given interval because cosine has a period of 2π.

3cos(4Ф) = -2

cos(4Ф) = -2/3

4Ф = ±cos⁻¹(-2/3)

cos⁻¹(-2/3) ≈ 2.300

4Ф = ±2.300

Ф = ±0.575

Similarly,

b.

For cos(πФ)= -0.6
Ф=  0.71, 3.43

Thus, the requried solution of the equations in the interval form are a. (-0.575, 0.575) and b. (0.71, 3.43).

Learn more about trigonometry equations here:

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Related Questions

Martin made 12 out of 40 shots during the basketball game. What percent of his shots did he make?

Answers

Answer:

30 percent

Step-by-step explanation:

12/40=0.3

0.3=30 percent

Answer:

30%

Step-by-step explanation:

To find a percent, use this equation:

x/100 = n/t

where x is the percent, n is the select number of things, and t is the total number of things

Substitute:

x/100 = n/t

x/100 = number of shots Marin made/number of shots attempted

x/100 = 12/40

Now, we need to cross multiply, or multiply the numerators by the denominators of the other fraction, and vice versa.

Multiply:

x/100 = 12/40

x(40) = 40x

100(12) = 1200

40x = 1200

Now, divide both sides of the equation to find the value of x.

Divide:

40x = 1200

/40     /40

x = 30

Now we have the percent is fraction form: 30/100

To make it a percentage, simply take the numerator and add the % sign.

Therefore, Martin made 30% of his shots.

!Emergency math question!

Answers

Answer:

Equation: P = 1900 + 70n

Answer if 26 copies sold= 3720

Step-by-step explanation:

Answer:

p=1900 +70n

Step-by-step explanation:

simplify (3)(-4) + (3)(4) - 1

Answers

Answer:

1

Step-by-step explanation:

Ken’s prediction for December was –5°C. The actual low temperature was 3 degrees higher than his prediction. The actual low temperature in December was _ºC.

Answers

Answer:

 -2 °C

Step-by-step explanation:

Add 3 °C to get a temperature 3 °C higher.

 -5 °C + 3 °C = -2 °C

Answer:

-2

Step-by-step explanation:

hope this helps :)

Bozo the clown brings a total of 20 balloons to Jake’s birthday party. There are 7 yellow, 2 red, and 11 green balloons. He reaches into his pocket and randomly selects a color to make a balloon animal. If he pulls a yellow balloon first, what is the probability of the next color to be selected randomly will also be yellow?

Answers

Answer:sorry mabye if you elpan it mire i can help

Step-by-step explanation:

Find the volume of the cylinder to the nearest tenth. Use 3.14 for it.
6 m
15 m
The volume of the cylinder is approximately
m​

Answers

Answer:

1696.46

Step-by-step explanation:

the formula of a cylinder volume is πr2h. Which is 3.14 x 6squared x 15. And then you'll have the volume.

A jar contains 100 tickets for a drawing. Among those tickets are 7 winning tickets. What are the odds in favor of winning?

A. 7:93
B. 7:100
C. 93:7
D. 93:100

Answers

Answer:

i say 7/100

Step-by-step explanation:

if the 100 tickets is your total then its your denominator

the 7 is represents the tickets what are winners

What is the height of the cone below?

3 in.
9 in.
27 in.
75 in.

Answers

Answer:

The answer should be 9in.

hope that helped.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Write the equation 3x+2y- 5 = 0 in normal form. Then, find the length of the normal and the angle it makes with the


positive x axis.

Answers

Hey, hope you are having a nice day. The answer I got was y=-1.5x+2.5. This was because most equations are y=mx+b. So y had to be by itself.
3x+2y-5=0
-2y. -2y
3x-5=-2y since 0 doesn’t do anything
——- ——
-2. -2
-1.5 +2.5 =y

Answer:

The answer is a

Step-by-step explanation:

You and your friend play the same note. Your friends instrument is in tune and is playing a note it 256 Hz, but your are slightly out of tune and are playing a note at 260Hz. What is the beat frequency

Answers

Answer:

In fact, they'll do that if only ONE of them is out of tune.

As long as there's a difference between the two frequencies,

they'll create beats.

Step-by-step explanation:

hope this helps plz brainiest

-7x = 42

I need an answer

Answers

Look at the attached picture

Hope it will help you

Answer:

[tex]x = - 6[/tex]

Step-by-step explanation:

[tex] - 7x = 42 \\ \frac{ - 7x}{7} = \frac{42}{ - 7} \\ x = - 6[/tex]

Please answer CORRECTLY !!!!!! WILL MARK BRAINLIEST

Answers

Answer:

5

Step-by-step explanation:

7m - 2m = 5m

-5n - 3n = 8n ( just in case you need it (: )

Also, have a great day

Rewrite the function by completing the square.
h(x)=4x^2-36x+81

Answers

Answer:

[tex]4(x-4.5)^2+60.75[/tex]

Step-by-step explanation:

[tex]h(x)=4x^2-36x+81\\\\h(x)=4(x^2-9x+20.25)+60.75\\\\h(x)=4(x-4.5)^2+60.75[/tex]

Hope this helps!

Answer:

Step-by-step explanation:

Use the formula  

b/2^2

Answer: 4( x- 9/2)^2 + 0

help meeee, i need helppp

Answers

Answer: The first one is A. 16 + 10 +10 +10 +10  

The second one is 40  units^2

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

When you get all the areas together, the answer is A. Sorry i was late to help

Give 3 angle measures of an obtuse triangle. ​

Answers

Answer:There are many different answers :-)    but 100, 40, 40 is one

Step-by-step explanation:

There are quite a few answers, but you need to make sure 1 angle is greater than 90 degrees.  The remaining two angles should add up to less than 89 degrees and all 3 angles should total 180 degrees.

i.e. 100, 40, 40

Can you guys help me plsss
I do not get this work

Answers

Answer:

160 square units

Step-by-step explanation:

We need to find the surface area of this figure, which is basically the areas of all the exterior sides.

Looking at the pyramid, we notice that we have 4 congruent triangles and 1 square.

Triangles:

The area of a triangle is denoted as A = (1/2) * b * h, where b is the base and h is the height. Here, the base is 8, so b = 8, and the height is 6, so h = 6. Plug these values in to get the area of one triangle:

A = (1/2) * b * h

A = (1/2) * 8 * 6 = (1/2) * 48 = 24

The area of one triangle is 24 square units, so the area of 4 is 24 * 4 = 96 square units.

Square:

The area of a square is denoted by: A = s * s = s². Here, s = 8, so plug that in:

A = s²

A = 8² = 8 * 8 = 64

The area of the square is 64 square units.

Now add up the areas of the triangles and square:

96 + 64 = 160 square units

The surface area is 160 square units.

Answer:

160

Step-by-step explanation:

Surface area = 4 triangles + square

4(½ × 6 × 8) + 8²

96 + 64

160 units²

Jill’s coach used a computer program to help her improve the distance she can throw a softball. The computer gave a readout of the path of her best throw. The path of this throw was represented by the quadratic equation y = –0.15x2 + 1.3x + 4, where x represents the number of feet the ball traveled and y represents the height of the ball in feet. Use the graphing calculator to graph the equation. At what distance did the ball hit the ground? Round your answer to the nearest hundredth. feet

Answers

Answer:

11.08 feet

Step-by-step explanation: I just got it wrong and it told me the answer. :/

Answer:

11.08 feet

Step-by-step explanation:

Got it right on edge

The safe fluoride-to-water ratio is 0.5 to 1.4 parts per million (ppm) gallons. What is the range in parts of fluoride that could be added to 500,000 gallons of water?

Answers

Answer:

250,000 to 700,000 parts

Step-by-step explanation:

For the lower ratio of 0.5, we have to get 0.5 flouride parts/1 gallon of water equivalent to (some fluoride parts)/ (500,000 gallons of water). we can multiply 500,000 by 0.5 to get 250,000 as our lower limit. Similarly, we can multiply 500,000 by 1.4 to get 700,000 as our upper limit

find the value of 1÷3x when X=1​

Answers

1÷3x when x=1

1÷3×1=1÷3≈0.67

If U is the set of all natural numbers less than 10, A is its subset containing all natural numbers less than 6 and B⊂U consists of all natural numbers greater than 4 (and of course smaller than 10), draw Venn diagram showing these sets. List elements of sets A, B, their union, and their intersection.

Answers

Answer:

U = {1,2,3,4,5,6,7,8,9}

A = {1,2,3,4,5}

B = {5,6,7,8,9}

Step-by-step explanation:

The graph represents this system of equations.
What is the solution to the system of equations?
Sv=4-x
v=x-2
(-2,4)
(1,3)
(2,4)
(3, 1)
-5 -4 -3 -2

Answers

Answer:

(3, 1 )

Step-by-step explanation:

The solution to a system of equations give graphically is at the point of intersection of the 2 lines.

The point of intersection is (3, 1 )

Thus solution is (3, 1 )

Jermaine went to the Adventureland Park with $40 to spend. His ticket cost $16. Write and solve an inequality to show how much he might spend on souvenirs and snacks.
Please help me do this ❤️

Answers

Answer:

24$ left

Step-by-step explanation:

40-16=24$

he has 24$ left for snacks

make me brainiest and hope this helps

There are 9 friends playing a card game in which all of the 52 cards in a standard deck are distributed to the players. How many cards does each person get?

Answers

Answer:5 and 7 left

Step-by-step explanation:

Answer:

Each person would get 5 cards, withe 7 left over.

Step-by-step explanation:

This is because 52/9 is 5.7777. So then you would multiply 9 by 5 and get 45. You finally do 52-45 and get the 7 leftovers.

Given sec A =
✓97/9
and that angle A is in Quadrant I, find the exact value of tan A
in simplest radical form using a rational denominator.

Answers

Answer: 4/9

Step-by-step explanation:

9^2+B^2= 97

81+b^2=97

b^2=16

B=4

opposite=4

adj=9

tan= opposite/adj = 4/9

Find the volume of the prism.



The volume is
cubic inches.

Answers

So the right answer is 3/10 cubic inches.

Look at the attached picture

Hope it will help you

Good luck on your assignment

Question 18(Multiple Choice Worth 1 points) Using the given zero, find all other zeros of f(x). -2i is a zero of f(x) = x4 - 45x2 - 196

Answers

The picture shows the zeros of f(x). -2i is a zero of f(x) = x4 - 45x2 - 196

He buys 1 quart of milk and one eighth
gallon of milk. How many cups of milk does he ​buy?

Answers

Answer:

He bought six cups of milk

Step-by-step explanation:

1 quart is 4 cups and one eighth of a gallon is 2 cups.

Identify the constant term in 14x + 6y - 5. A. 14 B. 6y C. -5 D. 5

Answers

Answer:

D

Step-by-step explanation:

Answer:

C. -5

Step-by-step explanation:

14x and 6y both have variables attached to them

the most basic form for a function like this is ax+by+c

the definition of constant is a fixed value. the reason your constant has to be a solo number, not attached to a variable, is that these variables change the number!! so, -5, the only number that won't change in the function, is the constant.

HELP!
This pattern follows the rule divide by 5. What is the next number in the pattern?

875, 175, 35, ________

A. 17
B. 12
C. 7
D. 3

Answers

Answer: C

Step-by-step explanation:

C
Because 35 divided by 5 is 7

What is the volume of a hemisphere with a radius of 29.6 in, rounded to the nearest tenth of a cubic inch?

Answers

Answer:

V = 54316.7 in³

Step-by-step explanation:

V = 54316.7463 in³

The solution is, the volume of a hemisphere with a radius of 29.6 in, rounded to the nearest tenth of a cubic inch is, 54289.2 cubic inches.

What is volume?

In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.

here, we have,

a hemisphere with a radius of 29.6 in,

i.e. The radius is 29.6.

now, we know that,

the volume of a hemisphere = 2/3 * pi* r^3

using the formula, we get,

V = 2/3 * 3.14 * 29.6³

   =54289.2100267

now, rounded to the nearest tenth  we get,

54289.2100267 ≈ 54289.2

The volume of the hemisphere should be 54289.2 cubic inches.

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