Find the cosine of 300°. Round your answer to the nearest hundredth, if necessary.
-0.87
-0.5
0.5
0.87

Answers

Answer 1

Answer:

option C . 0.5

Step-by-step explanation:

[tex]cos 300 = cos(2\pi - 300 ) = cos( 360 - 300) = cos 60 = 0.5[/tex]

Using the formula :

[tex]cos\theta = cos (2\pi - \theta )[/tex]

Answer 2

C= 0.5

Step-by-step explanation:


Related Questions

Please helppp it would be much appreciated

Answers

Answer: B is the correct answer!

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Well since you pretty much know that electrons are negative soo... B

A 41 gram sample of a substance that's used to detect explosives has a k-value of 0.1392. Find the substance's half life, in days.

Answers

Answer:

The substance half-life is of 4.98 days.

Step-by-step explanation:

Equation for an amount of a decaying substance:

The equation for the amount of a substance that decay exponentially has the following format:

[tex]A(t) = A(0)e^{-kt}[/tex]

In which k is the decay rate, as a decimal.

k-value of 0.1392.

This means that:

[tex]A(t) = A(0)e^{-0.1392t}[/tex]

Find the substance's half life, in days.

This is t for which [tex]A(t) = 0.5A(0)[/tex]. So

[tex]A(t) = A(0)e^{-0.1392t}[/tex]

[tex]0.5A(0) = A(0)e^{-0.1392t}[/tex]

[tex]e^{-0.1392t} = 0.5[/tex]

[tex]\ln{e^{-0.1392t}} = \ln{0.5}[/tex]

[tex]-0.1392t = \ln{0.5}[/tex]

[tex]t = -\frac{\ln{0.5}}{0.1392}[/tex]

[tex]t = 4.98[/tex]

The substance half-life is of 4.98 days.

The sum of two numbers is 75. The second number is 3
less than twice the first. Find the numbers. Please give me the answer step by step on how to solve it.

Answers

First set up an equation:

x + (2x-3) = 75
now add both together

3x-3 =75

move over the constant

3x=78

and divide by 3

x= 26

Hope this helps!!

Answer:

x= 26 y = 49

Step-by-step explanation:

let the first number be x and second be y

then

according to the question,

x + y= 75

x + (2x- 3) = 75

x + 2x - 3 = 75

3x = 75 +3

3x = 78

x = 78/3

x = 26

thus first number is 26

and second number is 2x-3=2×26-3

= 52 - 3= 49

32 + (-32) is an example of:

proportion
additive Inverse
absolute value
ratio

Answers

Answer:

Addituve Inverse

Step-by-step explanation:

Additive inverse simply means changing the sign of the number and adding it to the original number to get an answer equal to 0. 

Answer:

additive Inverse or absolute value

Step-by-step explanation:

Math screen shot photo

Answers

Answer:

30625

Step-by-step explanation:

Answer:

175²

Step-by-step explanation:

7 × 7 × 5 × 5 × 5 × 5

= (7 × 7) × (5 × 5 × 5 × 5)

= 7² × 5⁴

= 49 × 625

= 30.625

[tex] \sf = \sqrt{30.625} [/tex]

[tex] \sf = \sqrt{175 \times 175} [/tex]

[tex] \sf = 175[/tex]

[tex] \sf = {175}^{2} [/tex]

Conclusion:

Exponential Form of 7 × 7 × 5 × 5 × 5 × 5 adalah 175².

Doug is going to ride his bicycle 3,000 miles across the United States, from coast to coast. He wants to choose the route that will give him the greatest chance of success. Here's what he finds in his research:

Answers

Answer: hello your question has some missing data below is the missing data

There have been 2 attempts on the northern route from Maine to Washington. Both of those riders made it 2,000 miles and quit in Montana. There have been 19 attempts on the central route from Virginia to California; 9 of those riders didn't make it out of Virginia and the other 10 made it all the way to the Pacific. There have been 32 attempts on the southern route from Florida to San Diego. One of those riders made it the whole way. Another realized he was out of shape, and quit before he even started. The other 30 riders quit somewhere in Texas. They were evenly distributed between 1 , 300 and 1 , 700 miles. For the northern route, the median distance covered will be the mean. For the central route, the median distance covered will be the mean. For the southern route, the median distance covered will likely be the mean

answer : Doug should choose the Central route

Step-by-step explanation:

Number of Available routes = 3

Northern route ; Total distance covered =  2000 miles

Central route : Total distance between Virginia and California = 2818.5 miles

percentage of success = 10 / 19 * 100 = 52.63 %

Mean distance covered = 2818.5 * 52.63% = 1483.38 miles

southern route  

Distance to be covered = 2,548 miles

number of attempts = 32

percentage of success = 1 = ( 1 / 32) * 100 = 3.12%

median distance covered by 30 riders = 1300 + ( 400 / 30 ) = 1313.33

Conclusion :

Doug should choose central route because it has the highest percentage of success and longest distance covered  ( i.e. closest to 3000 miles ) and it is also coast to coast

please help!!!!!! this is due soon

Answers

The last one is correct because the line is not going up or down it’s every where so it’s the last one

Solve for x. Round your answer to the nearest tenth

Answers

answer

tan x=p/b=8/15

Step-by-step explanation:

using pythagoras theorem

h^2 =p^2+b^2

h^2=8^2+15^2

h^2=64+225

h^2=289

h=root 289

h=17

then,

cosx=b/h

=15/17

^2= Square

A boat spots a helicopter at an angle of elevation of 40 degree that is reporting a height of 900 feet above the water. How far is the horizontal distance from the boat to the helicopter?

Answers

Answer:

1072.58feet

Step-by-step explanation:

Given the following

Angle of elevation = 40degrees

Height of helicopter above the water = 900feet

Required

Horizontal distance H

Using the SOH CAH TOA identity

tan theta = opposite/adjacent

tan 40 = 900/H

H = 900/tan40

H = 900/0.8391

H = 1,072.58feet

Hence the horizontal distance from the boat to the helicopter is 1072.58feet

Austin’s monthly gross pay is $4,200. Federal withholding is 16.05% of his pay. His other deductions total $321.30. What is his net pay.

Answers

Answer:

$3,204.6

Step-by-step explanation:

$ 4,200              represents       100% of his salary

x amount  of $   represents      16.05 % in federal withholding

after you line up $ with $ and % with % think cross multiplication

x = 4,200* 16.05/ 100 = $674.1 is the amount in federal withholding

Net pay = 4,200 -674.1 -321.30 =  $3,204.6

i hate copy and pastes​

Answers

Answer:

why they're so helpful

Step-by-step explanation:

Answer:

Me too it so much wooooorrrrkkk

Step-by-step explanation:

Isabel received a $90 gift card for a coffee store she used it in buying some coffee that cost $7.46 per pound after buying the coffee she had $67.62 left on her card how many pounds of coffee did she buy

Answers

Answer:

3 pounds

Step-by-step explanation:

Amount spent

90 - 67.62 = 22.38

coffee bought

22.38/7.46 = 3 pounds

A sheet of cardboard 12 inches square is used to make an open box by cutting out squares of equal size from the four corners and bending up the sides. What size should the squares be to obtain a box with the largest possible volume

Answers

Answer:

[tex]x=6+3\sqrt{2}[/tex] is the size of the square

Step-by-step explanation:

Let the side of the square cut from the cardboard be “x”

Size of the square base = [tex]12 -2x[/tex], height of the box = x

Volume of square box = Area * height = [tex](12-2x)^2 * x[/tex]

Differentiating the above equation and equating it to zero, we get –  

d/dx [tex]((12-2x)^2 * x)[/tex]

d/dx[tex]{(144 + 4x^2 -48x)*x}[/tex]= d/dx [tex](144x + 4x^3 -48x^2)[/tex]

d/dx [tex](144x + 4x^3 -48x^2) = 0[/tex]

[tex]144+8x^2-96X= 0\\18 +X^2-12X = 0[/tex]

On solving above equation, we get –  

[tex]x=6+3\sqrt{2} \\ x=6-3\sqrt{2}[/tex]

Rahul has 5 BLUE BLOCKS, 3 PINK BLOCKS AND 4 GREEN BLOCKS. He wants to count the total number of blocks he is having. In how many ways he can find the answer? Form a mathematical expression to find the total number of blocks and identify the property used.

Answers

Answer:

a) He can find the answer in one way

b) We make use of Addition property of mathematics

c) Total number of blocks = 12 blocks

Step-by-step explanation:

a) He can find the answer in one way

b) We make used of addition property of mathematics

c) The total number of blocks he is having is calculated as:

Blue blocks + Pink blocks + Green blocks

Where

Blue blocks = 5

Pink blocks = 3

Green blocks = 4

Hence:

Total number of blocks = 5 + 3 + 4 = 12 block

"The ratio of five less than thrice a number x and four" please write in symbols

Answers

Answer:

(3x - 5)/4

Step-by-step explanation:

(3x - 5)/4 desribes five less than thrice a number x over four. Please let me know if this is what you mean.

A t-shirt is launched into the stands at a game. The equation h(x) = -16x2 + 48x + 6 models the relationship between time x and the height of the t-shirt h(x). List the calculation you must complete to find the answer to each question.
1. How high off the ground is the t-shirt launcher?
2. How high is the t-shirt after 1 second?
3. When does the t-shirt reach its maximum height?
4. What is the maximum height of the t-shirt?
5. When will the t-shirt reach the ground again if nobody catches it?

Answers

Answer:

1)  6 feet

2) 38 feet

3)  at 1.5 seconds

4) 42 feet

5) in 3.12 seconds

Step-by-step explanation:

Which of the following diagrams shows the numbers in the correct sets?

Answers

I don’t km
Now this problem

if x/ 3=3/x then what is the value of x
1.-3
2.3
3.+-3​

Answers

Answer:

x = ±3 (Option 3)

Step-by-step explanation:

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

Multiply both the sides with 3.

[tex]=> \frac{x}{3} \times 3 = \frac{3}{x} \times 3[/tex]

[tex]=> x = \frac{9}{x}[/tex]

Multiply both the sides with 'x'.

[tex]=> x \times x = \frac{9}{x} \times x[/tex]

[tex]=> x^2 = 9[/tex]

Root-square both the sides.

[tex]=> \sqrt{x^2} = \sqrt{9}[/tex]

[tex]=> x = (+3) \: or \: (-3)[/tex]

∴ x = ±3

what is the value of r if 3r =243?​

Answers

Answer:

243 divided by 3 equals 81 so r=81

Step-by-step explanation:

Answer:

81

Step-by-step explanation:

Simplify the equation. 3r=243, so divide 3 on both sides, and you get r=81, hence 81 is the answer.

find the range of these sets of data -2,9,-1,-2000,-6000​

Answers

Step-by-step explanation:

the given data is in ascending order=9,-1,-2,-2000,-6000

rang = 9-(-6000)

( from above photo it continue )

Please follow me
Type: "Follow KelvinSu From:(your name)"
Thank you in advance​

Answers

Follow KelvinSu From: Thadd

Follow kelvinSu from:Keisha

Pls someone help I need help with 2 I need answer and explanation pls

Answers

Answer:

2. B, 18 = 11 + 7

If you plug in the 7 in the y it would make sense

18 = 11 + y

Let's plug in the 7

18 = 11 + 7

and 11 + 7 = 18, so it makes sense! Therefore B is your answer for question number 2.

Answer:

B. 18 = 11 + y

Step-by-step explanation:

since y = 7

substitute it into the equation which becomes

18 = 11 + 7

which makes this statement true.

11 + 7 = 18

HELP HELP HELP FIRST RIGHT ANSWER GETS BRAINLIEST​

Answers

infinite, have a nice day and i how it helps!

Answer:

No solution

Step-by-step explanation:

2x - y = 8

2x - y = 6

They are the same unknown variable, if they equate different things, there is a problem.

bcs 2x-y - (2x - y) = 2x - 2x - y + y = 0

but 8-6 ≠ 0

Thus this is unsolvable.

Find all possible values for each expression.
tan-1 1

Answers

Answer:

45 and 225degrees

Step-by-step explanation:

Given the expression

tan⁻¹1

Using the calculator

tan⁻¹1

tan⁻¹1  = 45degrees

Since tan is positive in the third quadrant

theta=  180 + theta

theta = 180 + 45

theta = 225degrees

Hence the values of theta are 45 and 225degrees

Which of the following rational numbers lies between 1/3 and 2/3?

Answers

Answer:  Choice B

24/48,  20/48,  18/48,  17/48

==========================================================

Explanation:

1/3 = 0.333 approximately

2/3 = 0.667 approximately

We're looking for values between 0.333 and 0.667

We can rule out choice A because 1 doesn't fit the description.

Choice C can be ruled out as well because 9/12 = 0.750 isn't between 0.333 and 0.667

--------------------------

Choice B works because all the decimals shown below are between 0.333 and 0.667

24/48 = 0.50020/48 = 0.417 (approximate)18/48 = 0.37517/48 = 0.354 (approximate)

Please help!!! Giving brainliest and extra points!!!! (Click on the photo)

Answers

2,400 inches cubed, 10x20x12 =2400

Answer:

2400 inches cubed

Step-by-step explanation:

The formula for the volume of a rectangular prism is:

V=whl

------

So the formula is telling us to multiply the width, height, and length together. So in that case:

10 × 12 × 20 = 2400

------

Have a good day :)

Solve(100 points to right answer)If you get it wrong or type random stuff you will be reported

Answers

Answer:

24 ft

Step-by-step explanation:

Hypotenuse = √9²+16²=√81+256=√400=20ft

the upper side of the stuff = 4 ft

total = 20+4=24

LOOK AT PROVIDED IMAGES PLZ! Problem worth a lot of points if right!!

Answers

Answer:

add and subtract

Please help

No links as they don’t work

Will mark brainliest

Answers

I am not sure gfyfucgzigzifgxufifz

expand 5(8x - 3y) to its simplest form

Answers

Answer:

40x - 15y

Step-by-step explanation:

Multiply the brackets together

---------------------------------------------------------------------------------------------------------------

Have a good day :)

Answer:

40x - 15y

Step-by-step explanation:

Use the distributive property:

5(8x) - 5(3y) =

40x - 15y

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