Give the general solution in degrees and radians. 9) 8cosØ = 4​

Answers

Answer 1

Hi Student!

The first step that we need to take before solving this problem is understand what we need to do and what information we are given to do that.  So first they are asking for us to determine the solution (or find theta) in both degrees and radians.  The information that is given to us is the equation [tex]8* cos (\theta) = 4[/tex].

After completing the initial step, the next step is to actually start solving the equation for the unknown which in this case is theta or the angle.

Divide both sides by 8

[tex]8* cos (\theta) = 4[/tex][tex]\frac{8* cos (\theta)}{8} = \frac{4}{8}[/tex][tex]cos (\theta) = \frac{1}{2}[/tex][tex]cos (\theta) = 0.5[/tex]

Multiply by the inverse of cos

[tex]cos^{-1}(cos (\theta)) = cos^{-1}(0.5)[/tex][tex]\theta = cos^{-1}(0.5)[/tex][tex]\theta = 60[/tex]

After solving for the unknown or theta, we were able to determine that the solution for our equation is 60 degrees.  Now we can move onto the final step which is to convert our answer to radians to complete the final part of the problem statement.

We can convert from degrees to radians by multiplying by π/180 which would get rid of degrees and give us radians.

Plug in the values

[tex]degrees*\frac{\pi }{180\ degrees}[/tex][tex]60\ degrees*\frac{\pi }{180\ degrees}[/tex]

Simplify the expression

[tex]\frac{\pi\ *\ 60\ degrees }{180\ degrees}[/tex][tex]\frac{\pi}{3}[/tex]

Therefore, our final answer is that our solution in degrees is 60 degrees and our solution in radians is π/3.


Related Questions

A jiffy is a measure of time. There are 100 jiffies in 1 second. How many seconds are there in 60 jiffies?

Answers

Answer:

.6

Step-by-step explanation:

60/100 = .6

60 jiffies is 60% of 1 second

Answer:

0.6 seconds in 60 jiffies.

Step-by-step explanation:

If there are one hundred jiffies in a second, then all we need to do is multiply one second by 0.60, since one jiffy is one 100th of a second. And well, since one times anything is that number, well, our answer is 0.6

It’s 4 this is so people can find it easier

A figure can be broken into a rectangle and triangle. The rectangle has a base of 10 inches and height of 7 inches. The triangle has a baes of 4 inches and height of 5 inches.
What is the measure of the base of the triangle?
The base of the triangle b has a measure of inches.

Answers

Answer:

4 inches

Step-by-step explanation:

finding base of rectangle

area- 10x7= 70

base- 70/10= 7

finding base of triangle:

area- 4x5= 25

base- 25/5= 4

Answer:

4 in

Step-by-step explanation:

4

how do you do this question

Answers

Step-by-step explanation:

Given,

[tex]x = {3}^{m} [/tex]

[tex]y = {3}^{n} [/tex]

Now

Consider

[tex] {3}^{4m - 1} [/tex]

We know that

[tex] \frac{ {a}^{p} }{ {a}^{q} } = {a}^{p- q} [/tex]

Using this we can write

[tex] {3}^{4m - 1} = \frac{ {3}^{4m} }{ {3}^{1} } [/tex]

[tex] = \frac{ {3}^{4m} }{3} [/tex]

We know that

[tex] ({a}^{p}) ^{q} = {a}^{pq} [/tex]

Using this we get

[tex] \frac{ {3}^{4m} }{3} = \frac{ ({3}^{m})^{4} }{3} [/tex]

Since we know that

[tex] {3}^{m} =x [/tex]

We get

[tex]= \frac{ {x}^{4} }{3} [/tex]

Math question please help

Answers

FALSE

The distributive property comes in handy when we see an expression such as the following: 5(x + 3). This is because the 5 needs to be distributed to both the x and the 3.

For the given expression, combining like terms would be the next step because 2y and 6y can be added together.

Hope this helps!

The probability that a light bulb will have failed after 1000 hours of use is
0.07.
What is the probability that it will still be working after 1000 hours of use?
Give your answer as a decimal.

Answers

Answer:

.093

Step-by-step explanation:

do

1.00-0.07

the probability that the light bulb will still be working after 1000 hours of use is 0.93 (or 93%).

To find the probability that the light bulb will still be working after 1000 hours of use, we can use the fact that the sum of the probabilities of all possible outcomes must be equal to 1.

Given that the probability of the light bulb failing after 1000 hours of use is 0.07, the probability of it still working after 1000 hours is:

Probability of the light bulb working after 1000 hours = 1 - Probability of the light bulb failing after 1000 hours

Probability of the light bulb working after 1000 hours = 1 - 0.07

Probability of the light bulb working after 1000 hours = 0.93

So, the probability that the light bulb will still be working after 1000 hours of use is 0.93 (or 93%).

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60=-5(x-6)
Please answer this with how you got the answer.

Answers

Answer:

x = -6

Step-by-step explanation:

» Solution

Step 1: Distribute -5 to the terms inside the parantheses.

[tex](-5)(x)+(-5)(-6)=60[/tex] [tex]-5x+30=60[/tex]

Step 2: Subtract 30 from both sides.

[tex]-5x+30-30=60-30[/tex] [tex]-5x=30[/tex]

Step 3: Divide both sides by -5.

[tex]-5x/-5=30/-5[/tex] [tex]x=-6[/tex]

Therefore, x = -6.

Question
Find the whole

140% of what number is 35?

Answers

The 140% of the number 25 will be equal to 35. We will calculate it by the concept of percentage.

What is the percentage?

The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.

Here we need to find out 140% of what number is 35

Suppose that number is x so the equation will be

[tex]140\%\times x=35\\\\\\\dfrac{140}{100}\times x=35\\\\\\x=\dfrac{35\times 100}{140}\\\\\\x=25[/tex]

Hence % of the number 25 will be equal to 35. We will calculate it by the concept of percentage.

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In the arthmetic sequence {-9, -4, 1, 6, 11,…}, what is the common difference ?

Answers

The common difference is 5 each time. Take for example -9 and -4 it’s goes up 5, and then 1 and 6 it goes up five and so on,hope this helped!
Answer:  5

Explanation:

Pick any term and subtract off the previous one to get the common difference.

For instance, let's say we picked 11

11-6 = 5

Or we could pick 6

6-1 = 5

Each time we get 5 as the common difference. It says that to get each next term, we add on 5.

The table shows numbers of words typed by 3 students in 1 minute.

student | number of words
Molly | 34
Joseph |. 37
diana. |. 32

Based on data, select the estimate that could represent the number of words typed by the students in 7 minutes

A. 102 by Molly, 111 by joseph, 96 by diana
B. 214 molly, 226 joseph, 262 diana
C. 235 Molly, 259 joseph, 224 diana
D. 258 molly 223 joseph 237 diana

Answers

molly 258 joseph 259 Diana 262

Step-by-step explanation: oh and this reminds me of Dora

beans rice Jesus christ and Biran

50 points!! help asap pls

Write the equation of a circle with a radius of length 10 and a center at (-4, -9).

Answer choices in attached image

Answers

Answer:

(x+4)² + (y+9)² = 100

Step-by-step explanation:

We want to find the equation of a circle with a radius of length 10 and a center at (-4, -9).

general equation of circle : (x-h)² + (y-k)² = r²

where (h,k) is at center and r = radius

the center is at (-4,-9) so h = -4 and k = -9 and the circle has a radius of 10 so r = 10

so we have (x-h)² + (y-k)² = r²

h = -4 , k = -9  and r = 10

(x-(-4))² + (y-(-9))² = 10²

==> apply double negative sign rule and remove parenthesis for -(-4) and -(-9)

(x+4)² + (y+9)² = 10²

==> simplify exponent

(x+4)² + (y+9)² = 100

and we are done!

Answer:

Option D

Step-by-step explanation:

Given:

Radius = 10 unitsCenter point = (h, k) = (-4, -9)

∴ x coordinate of center point: (h, k) ⇒ (-4, -9)

∴ y coordinate of center point: (h, k) ⇒ (-4, -9)

Equation of circle formula:

⇒ (x - h)² + (y - k)² = r²

Substitute the radius in the formula;

⇒ (x - h)² + (y - k)² = r²⇒ (x - h)² + (y - k)² = (10)²

Substitute the x and y coordinate in the formula;

⇒ [x - (-4)]² + [y - (-9)]² = (10)²      [x coordinate (h): -4; y coordinate (k): -9]⇒ [x + 4]² + [y + 9]² = 100   (Option D)

Therefore, Option D is correct.

Help me please im like so desperate rn

Answers

Gcf = 7

42 + 35 = 7 x (6 + 5)

Help plssssss
(look at bottom for image
The two dot plots below compare the forearm lengths of two groups of schoolchildren:

Two dot plots are shown one below the other. The title for the top dot plot is Forearm Length, Group A and the title for the bottom plot is Forearm Length, Group B. Below the line for each dot plot is written Length followed by inches in parentheses. There are markings from 9 to 12 on each line at intervals of one. For the top line there are 3 dots above the first mark, 5 dots above the second mark, and 2 dots above the third mark. For the bottom line there are 3 dots above the second mark, 4 dots above the third mark and 3 dots above the fourth mark.

Based on visual inspection of the dot plots, which group appears to have the longer average forearm length?

Group A, because three children in the group have the least forearm length of 9 inches
Group B, because three children in the group have the least forearm length of 9 inches
Group A, because two children have a forearm length longer than 10 inches
Group B, because seven children have a forearm length longer than 10 inches

Answers

Answer:

Option 4

Step-by-step explanation:

Group B, because seven children have a forearm length longer than 10 inches.

Additional verification :

Finding average forearm length of Group A :

9(3) + 10(5) + 11(2) / 1027 + 50 + 22 / 1099/109.9

Finding average forearm length of Group B :

10(3) + 11(4) + 12(3) / 1030 + 44 + 36 / 10100/1010

Group B clearly has the longer forearm length.

What is the missing measurement of this right triangle?

5 m (Opposite Side)
9 m (Hypotenuse)
x (Adjacent Side)

Answers

The missing measurement of this right triangle is x=2√14

A ladder leans against the side of a house. The angle of elevation of the ladder is 62˚ when the bottom of the ladder is 16ft from the side of the house. Find the length of the ladder. Round your answer to the nearest tenth.

Answers

Answer:

The length of the ladder is about 34.1 feet.

Step-by-step explanation:

cos(62°) = 16/h

h cos(62°) = 16

h = 16/cos(62°) = 34.1 feet

Find the area of a regular hexagon with a said length of 10 centimeters and a apothem of 5 spuare root 3

Answers

Answer:

C

Step-by-step explanation:

the area (A) of the hexagon can be calculated as

A = [tex]\frac{1}{2}[/tex] pa ( p is the perimeter and a the apothem )

p = 6 × 10 = 60 and a = 5[tex]\sqrt{3}[/tex] , then

A = [tex]\frac{1}{2}[/tex] × 60 × 5[tex]\sqrt{3}[/tex]

   = 30 × 5[tex]\sqrt{3}[/tex]

   = 150[tex]\sqrt{3}[/tex]

   ≈ 259.8 cm² ( to the nearest tenth )

A square piece of confetti has sides that are 20 millimeters long. What is the piece of confetti’s area

Answers

Square has 4 sides

20 mill for each side

we mutiply all four corners

=80 mill

no links, will be reported

Answers

Answer:

(1,0)

Step-by-step explanation:

This is because a system of equations is when two lines cross to form a point that they share. (1,0) is the point where the two lines cross/intersect.

Answer:

(1,0)

Step-by-step explanation:

The answer is where the ines intersect to form a point.

Determine the value of c such that f(x,y) = c(x 2y), x = 1, 2

Answers

The value of C is 0.03030 if the f(x, y) = c(x 2y), x = 1, 2 and y =1, 2, 3  because the sum of the probability is always 1

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

f(x, y) = c(x+2y),

x = 1, 2 and y =1, 2, 3

f(1, 1) = C(1 + 2)  = 3C

f(1, 2) = C(1 + 4)  = 5C

f(1, 3) = C(1 + 6)  = 7C

f(2, 1) = C(2 + 2)  = 4C

f(2, 2) = C(2+ 4)  = 6C

f(2, 3) = C(2 + 6)  = 8C

We know the sum of the all probability is 1

3C+5C+7C+4C+6C+8C=1

33C =1

C = 0.03030

Thus, the value of C is 0.03030 if the f(x, y) = c(x 2y), x = 1, 2 and y =1, 2, 3  because the sum of the probability is always 1

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Please help! It’s 3am for me and I need to get this done.

Which of the following increases at the fastest rate for larger values of x?

Answers

Answer:

8^x +3

Step-by-step explanation:

Always take index for fasting growth rate

Given: a→ = (5,-4) and b→ = (2,3) Find 3a→ - b→

A. (3,- 7)
B. (13,- 15)
C. (13,- 1)
D. (15, 4)

Answers

[tex]< 5,-4 > - < 2,3 > \implies < 5-2~~,~~-4-3 > \implies < 3~~,~~-7 >[/tex]

can someone please help me answer this question??? help me please due in 15 min!!!

Answers

Answer:

c. 69

Step-by-step explanation:

Having trouble with this. Find the measure of the following arcs or angles.

Answers

The missing angle ∠APB, angle ∠CPD, and angle ∠EPA will be 65°, 77°, and 77° respectively.

What is an angle?

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

Linear angle - If the total of two angles is 180 degrees, they are said to be linear angles.

The diagram is given below.

The angle ∠BPC is 38° and the angle ∠DPE is 103°.

Then the missing angle will be

Angle ∠CPD and angle ∠DPE are linear angles. Then we have

∠CPD + ∠DPE = 180°

  ∠CPD + 103° = 180°

             ∠CPD = 77°

Similarly, angle ∠APB, angle ∠BPC, and angle ∠CPD are linear angles. Then we have

∠APB + ∠BPC + ∠CPD = 180°

         ∠APB + 38° + 77° = 180°

                           ∠APB = 65°

Then the complete circle makes 360°. Then we have

∠APB = 360° - 65° - 38° - 77° - 103°

∠APB = 77°

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please help me solve it.

Answers

[tex]\dfrac{n^6}{(n^2)^5}\\\\\\=\dfrac{n^6}{n^{2 \times 5}}\\\\\\=\dfrac{n^6}{n^{10}}\\\\\\=n^{6-10}\\\\\\=n^{-4}[/tex]

A triangle has one angle that measures 50° and one angle that measures 40°.

What kind of triangle is it?

A.isosceles triangle
B.obtuse triangle
C.right triangle
D.equiangular triangle

Answers

Answer:

Right triangle

Step-by-step explanation:

If the triangle has one angle that measures 50 degrees and another angle that measures 40 degrees, then the last angle must measure 90 degrees because the 3 angles of any triangle add up to 180, so we can set up the following:

180 - (50 + 40) = 90 degrees.

Any triangle that has a 90 degree angle is automatically a right triangle.

Hope this helps!

________________________________________________________

Option A

As we know, a triangle has 180° in total and has three angles.

⇒ Angle 1 + Angle 2 + Angle 3 = 180

We are given the following:

1st angle = 50°2nd angle = 40°

Let the 3rd angle be known as "x".

For the triangle to be classified as an isoceles triangle, two angles must be of same measure. Thus, there are two possibilities.

⇒ 50 + 40 + 40 = 180                                                   [Angle 2 = Angle 3]

-------------- Or -------------

⇒ 50 + 40 + 50 = 180                                                   [Angle 1 = Angle 3]

Possibility-1:

⇒ 50 + 40 + 40 = 180⇒ 50 + 80 = 180⇒ 130 = 180 (False)

Possibility-2:

⇒ 50 + 40 + 50 = 180    ⇒ 100 + 40 = 180   ⇒ 140 = 180 (False)

Therefore, the triangle cannot be an isoceles triangle.

________________________________________________________

Option B

As we know, a triangle has 180° in total and has three angles.

⇒ Angle 1 + Angle 2 + Angle 3 = 180

We are given the following:

1st angle = 50°2nd angle = 40°

Let the 3rd angle be known as "x".

For the triangle to be classified as an obtuse triangle, the third angle must be a measure greater than 90°. Therefore,

⇒ 50 + 40 + (x > 90) = 180⇒ 90 + (x > 90) = 180⇒ (x > 90) = 180 - 90⇒ (x > 90) = 90 (False)

This is false because 90 is not greater than 90. Therefore, the triangle is not an obtuse triangle.

________________________________________________________

Option C

As we know, a triangle has 180° in total and has three angles.

⇒ Angle 1 + Angle 2 + Angle 3 = 180

We are given the following:

1st angle = 50°2nd angle = 40°

Let the 3rd angle be known as "x".

For the triangle to be classified as a right triangle, the third angle must be a measure equivalent to 90°. Therefore,

⇒ 50 + 40 + 90 = 180⇒ 90 + 90 = 180⇒ 180 = 180 (True)

Therefore, this triangle is a right triangle.

________________________________________________________

Option D

As we know, a triangle has 180° in total and has three angles.

⇒ Angle 1 + Angle 2 + Angle 3 = 180

We are given the following:

1st angle = 50°2nd angle = 40°

Let the 3rd angle be known as "x".

For the triangle to be classified as an equiangular triangle, all the angles must be equivalent (60°). Therefore,

⇒ 1st angle = 2nd angle = 3rd angle⇒ 50 = 40 = 3rd angle (False, because 50 is not equivalent to 40)

Therefore, this triangle is not an equiangular triangle.

________________________________________________________

In conclusion, we can conclude that Option C (Right triangle) is correct.

Can someone please answer this, ill give you brainliest Would be very appreciated.

Answers

Equation:

j(x) = -3x² - 5

Which part of the equation tell us that the graph opens downward?

Solution:

Here see that the leading coefficient of x² which is (-3) is less than 0, meaning negative. a < 0 Hence, the graph will open from downwards.

Answer:

The coefficient of x²

Step-by-step explanation:

The part of the function j(x) which shows the graph opens downward is the coefficient of x². Depending on whether the value is positive or negative, we will understand if it opens upward or downward.

a company is considering designing a new and better can opener. the company estimates the probability that the new can opener will be will be successful is 5/8. if it is successful, it would be able to make $200,000. of course, the company would make nothing if it were unsuccessful. the development costs for the can opener are $76,000 what is the expected value ?

a) $49,000
b)$75,000
c)-49,000
d)$125,000

Answers

Answer:

The answer is a.) $49,000

Step-by-step explanation:

i just took the test!!

Given that  the company estimates the probability that the new can opener will be will be successful is 5/8. If it is successful, it would be able to make $200,000. The company would make nothing if it were unsuccessful. The development costs for the can opener are $76,000. The expected value is $49000.

What is expected value?

Expected value is the return you can expect for some kind of action.

The formula for the Expected Value is: ΣX.P(X) .

The amount earned by the company if the new can opener is successful = Revenue of the company - amount invested = $200,000 - $76,000 = $124,000

Probability that the new can opener will be successful = 5/8

Amount earned/ lost if the new can opener is not successful = $0

Probability that the new can opener will not be successful = 1 – 5/8 = 3/8

Expected value = amount earned if the new can opener is successful * Probability that the new can opener will be successful + Amount earned/ lost if the new can opener is not successful * Probability that the new can opener will not be successful

= 124,000 * 5/8 + 0 * 3/8

= $49000

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Can you help me solve this pls!

Answers

Answer:

Here is the ans ...hope it helps:)

Anybody want to help with math? :)
(x^5y^2-x^3y^2+xy-1)-(x^5y^2-x^4y^2-x^3y^2-x^2y+xy-1)
Ty :)

Answers

Attached images. :)

-

Comment if it's confusing, I would love to explain. <3

What is the simplest form of x^2+5X-36/x^2-16
X+9/X+4
9/4
X+9/X-4
-9/4

Answers

Answer:

[tex] \frac{ {x} + 9}{x - 4} [/tex]

Step-by-step explanation:

[tex] \frac{ {x}^{2} + 5x - 36}{ {x}^{2} - 16} \\ \\ = \frac{ {x}^{2} + 9x - 4x- 36}{ {x}^{2} - {(4)}^{2} } \\ \\ = \frac{ x({x} + 9) - 4(x + 9)}{ (x + 4)(x - 4) } \\ \\ = \frac{ ({x} + 9) \cancel{(x - 4)}}{ \cancel{(x + 4)}(x - 4) } \\ \\ = \frac{ {x} + 9}{x - 4} [/tex]

The ratio of red sweets to sweets that are not red is 2:3
The ratio of green sweets to sweets that are not green is 6:19
Work out the ratio of red sweets to blue sweets to green sweets

I saw an answer but assuming that the total is 50 doesn't make any sense.
I also saw an answer that didn't put any method/calculations. I NEED to put the method there otherwise my teacher will think I cheated and I will not be able answer questions like this in the future.

Answers

Answer:

Extremely sorry if my answer is wrong or doesn't make sense! Also sorry that I couldn't solve it farther, I solved it using sense and haven't made it this far in math!

Step-by-step explanation:

If red is 2:3 then that means red to green is either 2:2 or 2:1. Same goes with blue.

If green is 6:19 then we can figure out the 2 possibilities for red to green.

First Possibility:

If the red to green ratio is 2:2, then the red to green to blue is 6:6:13 because 6 + 19 - 12 = 13.

Second Possibility:

If the red to green ratio is 2:3, then the red to green to blue ratio is 4:6:15 because 6 + 19 - 10 = 15.

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