PLATO USERS!
Select the correct answer from each drop-down menu.

cos(420°) =
sin(450°) =

Answers

Answer 1

Answer:

see below

Step-by-step explanation:

cos(420°) =  cos 60 = 1/2

sin(450°) = sin 90 = 1

Answer 2

Answer:

See below in bold.

Step-by-step explanation:

cos (420) = cos (420 - 360)

= cos 60

= 1/2.

sin 450 = sin(450-360)

= sin 90

=  1.


Related Questions

If x = -2, then x2-7x+10 equals
00
O 20
028

Answers

20, you just need to substitute the x value in the equation
(-2)2-7(-2)+10=
=20

Answer:

28

Step-by-step explanation:

x^2-7x+10

Substitute x = -2

(-2)^2 -7(-2) +10

Exponents and multiplication

4 +14+10

Add

28

In which of the following equations is the distributive property correctly applied to
the equation x(y + 2) = 5?
O a) zy+22=5
16) y +2=
c) xy + 2x=52
d) 2rys=5

Answers

Answer:

None, unless c was a typo

Step-by-step explanation:

Distributing gets us xy+2x=5

None of the options is that

If you meant option c as xy+2x = 5 though, then it would be correct

Hi All,

I have some Maths Questions for you all to have a look at.

Please answer - I am giving 20 points!

I will mark Brainliest as well.

Take care,

Jake

Answers

Answer: i hope this is correct take care

Step-by-step explanation:

Which equation represents h(x)?

Answers

Answer: The second choice: h(x) = (f(x))(g(x))

Step-by-step explanation:

f(x) = -15

g(x) = 15

h(x) = -225

-15 * 15 = -225

Therefore, h(x) is the distribution of f(x) and g(x).

Sarah is making lemonade where she adds 2 parts lemon juice to 3 parts water.

a. Write the ratio of lemon juice to water as a fraction and in ratio form.
b. Sarah has 1 1/2 cups of lemon juice, write and solve a proportion to find out how much water she needs.
c. Write and solve a proportion to find out how much lemon juice she should add to 9 cups of water.
d. What percent of the lemonade is lemon juice? What percent is water?
e. She makes the lemonade, but her friend complains that it is too weak. Write a ratio of lemon juice to water that may fix the problem
f. Does Sarah need more lemon juice than water to make it stronger?

Answers

Answer:

a. 2/5 and 2:3

b.  

c. 6

d. 40% and 60%

Step-by-step explanation:

a) The ratio of lemon juice to water as a fraction can be expressed as: 2/3.

b) The amount of water Sarah needs when she has 1¹/₂ cups of lemon juice,  is: 2.25 cups

c) The amount of lemon juice Sarah should add to 9 cups of water is: 6 Cups

d) 40% of the lemonade is lemon juice, and 60% is water.

e) She should increase the ratio to 3:2

f) Yes, Sarah would need more lemon juice than water to make the lemonade stronger.

How to solve Ratio Problems?

a. The ratio of lemon juice to water as a fraction can be expressed as: 2/3.

b. The amount of water Sarah needs when she has 1¹/₂ cups of lemon juice,  is solved as:

1¹/₂ cups of lemon / water = 2/3

³/₂ cups of lemon / water = 2/3

Cross multiply to get:

water = 9/4

water = 2.25 cups

c. The amount of lemon juice Sarah should add to 9 cups of water is as follows:

lemon juice / 9 = 2/3

Cross multiply to get:

lemon juice = 18 / 3

lemon juice = 6 cups

d. The percentage of lemon juice and water in the lemonade if the total volume is 5 cups is:

Lemon juice: (2/5) * 100% = 40%

Water: (3/5) * 100% = 60%

e. What Sarah can do is to increase the ratio of lemon juice to water. One possible ratio could be 3 parts lemon juice to 2 parts water, or 3:2.

f. Yes, Sarah would need more lemon juice than water to make the lemonade stronger.

Read more about Ratio Problems at: https://brainly.com/question/12024093

#SPJ1

What number should be placed in the box to help complete the division calculation?



Numerical Answers Expected!

Answers

Answer:

180

Step-by-step explanation:

its 180 cos its the closest number to 193 that 18 can go in, your overall answer to the equation is 310 remainder 13. But I dont know if u need that..

A train moves at a constant speed of 60 miles per hour for 2 hours. It stops for 30 minutes to allow for the herd of cows to cross. It resumes moving at 30 miles per hour for the remaining one hour until it reaches its destination. Write using only numbers separated by commas the amount of distance traveled by 0 hours, 2 hours, 2.5 hours, and 3.5 hours in that order. Example answer format: 1, 3, 5, 7, 9 1,3,5,7,9 Be consistent with your spacing. Either put a space after each comma or put no spacing at all.

Answers

Answer:

0 , 120 , 120 , 150

Step-by-step explanation:

Lets consider in step by step

For Time = 0 hours

At t= 0, the train has not moved from its initial spot. The amount of distance travelled by train is 0

For Time = 2 hours

The train is travelling at a constant speed of 60 miles per hour. As the train travels for 2 consecutive hours at the same speed without stopping, it means that it covers a distance of 60 miles in 1st hour and another 60 miles in 2nd hour. Total distance covered is 120 miles.

For Time = 2.5 hours

The train stops after 2 hours and remain at the same place for 30 mins. So, after 2.5 hours the distance remains the same i.e 120 miles , as the train was stopped.

For Time = 3.5 hours

After 2.5 hours, train travels at a speed of 30 miles per hour. Which means that it covers another 30 miles to reach the destination.

Total Distance covered = 120+30 = 150 miles

PLEASE HELP ME THIS IS URGENT I AM BEING TIMED!!!

A book has 280 pages. Of the 280 pages, 210 have printing, 40 have pictures, and 30 are blank. Write your answers as fractions. Represent a fraction using the / symbol.

What is the probability of not opening to a printed page?

Answers

Answer:

1/4

Step-by-step explanation:

printed part = 210

total pages = 280

probability to open printed page 210/280 =3/4

probability to not open printed page = 1 - probability to open printed page = 1 - 3/4 = 1/4

Answer:

1/4

Step-by-step explanation:

280-210=70

P=70/280=1/4


7. Bud and his friends stopped at a local fast food restaurant after the football game Friday night. Bud ate a one-fourth pound cheeseburger and a large order of fries. The cheese
30 grams of total fat. If the recommended daily allowance of total fat for a 2,000 calorie diet is 64 grams, what percent of the daily allowance did Bud have when he ate the cheeseburger​

Answers

Answer:

46.875 %

Step-by-step explanation:

30 grams of fat out of 64 grams

30/64 =.46875

Change to percent form

46.875 %

Answer:46.875

Step-by-step explanation:

Marcus has 2 blue pens, 3 red pens, and a green pen in his backpack. He will pick a pen, give it to a friend, and pick another pen. What is the probability that he picks 2 green pens?​

Answers

Answer:

There is a zero percent chance of him giving his friends two green pens.

Step-by-step explanation:

He only has One pen.

The sum of the interior angles of a regular polygon is 1800 degrees. How many sides does is have? *
1 point



9 sides



10 sides



11 sides



12 sides

Answers

Answer:

12 sides

Step-by-step explanation:

To find the number of sides of a regular polygon with the sum of interior angles of 1800 degrees, we will follow the steps below;

first write down the formula for finding sum of the interior angle of a polygon

s= (n-2)180

where s is the sum of the interior angle and n is the number of side

from the question given, sum of the interior angle s=1800 degrees

substitute s=1800 degree into the formula and solve for n

s= (n-2)180

1800 = (n-2)180

divide both-side of the equation by 180

1800/180 = n-2

10 = n - 2

add 2 to both-side of the equation

10 + 2 = n

12 = n

n= 12

The polygon have 12 sides

A car salesman recorded the number of people who purchased a new car and the car's color. He then created the following bar graph:

Which of the following statements best compares the heights of the bars of the bar graph?
There are more people who purchased a red car than white and black cars combined.
There are more people who purchased a silver car than white and black cars combined.
There are twice as many people who purchased a red car than a black car.
There are 3 times as many people who purchased a black car than a silver car.

Answers

Answer:

There are twice as many people who purchased a red car than a black car.

Will give brainliest to whoever solves Calculate

Answers

The first one (65 ^2) is 1 and the second one (2^7) is 2

Answer:

1. 2

2. 1

Step-by-step explanation:

All work is attached!

please mark brainliest!

Six times a number is greater than 20 more than that number. What are the possible values of that number?
N<4
N>4
N> 20/7
N<20/7

Answers

Answer:

N>4

Step-by-step explanation:

Plugin numbers based on your options. Just check if any number less than four fits, if not, next option. In this case if you plug in 4, 4 * 6 = 24 which is equal to 20 more than 4 which is 24. Since our option is N>4 we can try 5 which will work and so will every number after that.

You need 3 sticks of butter for every 24 cookies you bake.
Complete the table using equivalent ratios.

Answers

Answer:  8

Step-by-step explanation:

there is no table

You have 9 identical balls, one of which is heavier than the rest. What is the smallest number of times you need to weigh the balls to know which one is the heavier one?

Answers

You could do this with two weighings assuming its a two pan balance - (1) place three balls on each side - if they balance out then its the remaining three that has abnormal ball (2) out of that group, place one ball on each side - if balances it out, the abnormal ball is the remaining one.

If the weighing in step (1) does not balance out, grab the group of three balls that is light or heavy and repeat step (2) described above.

Each point where vertical cables are attached to the spanning cable of a bridge has forces pulling in three directions. This situation can be modeled in terms of the unknown forces with the matrix equation below Solve this equation for F and round answers to three decimal points​

Answers

Answer:

f1: 0.440, f2: 0.931, f3: 1.519

Step-by-step explanation:

To solve the system of equations we need to use the inverse of matrix A, as follows:

A x F = C

A^-1 x A x F = A^-1 x C

I x F = A^-1 x C

where I is the identity matrix.

The inverse of A is:

          1.450 -0.392 -0.090

A^-1 = -0.074 -0.022 0.1536

         -0.406 0.7122 -0.060

(computed with Excel)

The multiplication between the inverse of A and C gives:

                0.440

A^-1 x C = 0.931

                1.519

(computed with Excel)

Answer:

1f = .441

f2 = .931

f3 = 1.520

Step-by-step explanation:

did it on edge 2020

A football player runs 10.7 m/s toward the end zone. If he runs for 3.7
seconds how far does he get?

Answers

Answer:

39.59

Step-by-step explanation:

Plzzzzzz helpppp


What information is missing but is needed to solve this problem?


The community theater staged performances on Friday, Saturday, and Sunday. There were 357 people at Friday's performance and 422 at Sunday's performance. How many people attended Saturday's performance?



A)the number of people at Friday's, Saturday's, and Sunday's performances combined

B)the number of people at Friday's and Sunday's performances combined

C)the difference between the number of people at Friday's and Sunday's performances

D)the average of the number of people at Friday's and Sunday's performances

Answers

Answer:

a. the number of people at Friday's, Saturday's, and Sunday's performances combined.

Step-by-step explanation:

The reason this information is needed to solve this problem is because we are looking to find the number of people who attended Saturday's performance. Without any information on Saturday's performance, there is no way to solve the problem. We are given the number of people on Friday and Sunday's performance, but are not given a total amount of people on all performances.

Answer:

A) The number of people at Friday's, Saturday's, and Sunday's performances combined.

Step-by-step explanation:

We are looking for the amount of people who attended Saturday's performance, but only one of the answers contains anything about Saturday, which is A. All the information in the other 3 choices we already know, because we know the amount of people at both Friday and Saturday's performance, so we can do some simple math to figure it out.

Which phrase describes the algebraic expression B2+7?
the product of 8 and 7 more than a number
the quotient of 8 and 7
8 times the sum of a number and 7
8 times a number plus 7

Answers

Answer:

8 times a number plus 7

Step-by-step explanation:

Find the value of X


Plz help me it’s emergency

Answers

Answer:

x = - 2

Step-by-step explanation:

Using the rules of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex]

Evaluating the numerator

9³ × 9 = [tex]9^{(3+1)}[/tex] = [tex]9^{4}[/tex] , thus

[tex]\frac{9^{4} }{9^{6} }[/tex]

= [tex]9^{(4-6)}[/tex] = [tex]9^{-2}[/tex]

and [tex]9^{-2}[/tex] = [tex]9^{x}[/tex]

Since bases on both sides are 9, then equate exponents

x = - 2

How do the graphs of the functions f(x) = (Three-halves)x and g(x) = (Two-thirds)x compare?

Answers

Answer:

The answer to this question can be defined as follows:

Step-by-step explanation:

Given:

[tex]\bold{f(x)= (\frac{3}{2})^x}\\\\\bold{g(x)= (\frac{2}{3})^x}\\[/tex]

Following are the graph attachment to this question:

The second function, that is [tex]g(x)= (\frac{2}{3})^x[/tex] is not even a function.

Remember that g(x) function is the inverted f(x) function. And when you see this pattern, a reflection on the Y-axis expects you.

Reflection in the axis.

In x-axis:

Increase the function performance by -1 to represent an exponential curve around the x-axis.

In y-axis:

Increase the input of the function by -1 to represent the exponential function around the y-axis.

We want to compare the graphs of the two given functions. We will see that the graph of g(x) is the graph of f(x) reflected across the line y = x.

The given functions are:

f(x) = (3/2)*x

g(x) = (2/3)*x

Note that each point on the line f(x) is written as:

(x, (3/2)*x)

And each point on the line g(x) is written as:

(x, (2/3)*x)

Now, if we multiply both sides of the above point by (3/2) we will get:

((3/2)*x, x)

Now, remember that for a general point (x, y), if we apply reflection across the line y = x, we get.

(y, x)

So the order of the values changes, exactly as we can see for f(x) and g(x).

Then we can conclude that g(x) is obtained by reflection f(x) across the line y = x.

Then the graph of g(x) is the graph of f(x) reflected across the line y = x.

If you want to learn more, you can read:

https://brainly.com/question/14536884

The graph of a proportional relationship passes through (9, 18) and (1, y). Find y.

Answers

Answer:

2

Step-by-step explanation:

Because it's a proportional relationship and it goes through the point (9, 18) the equation is y = 2x so when x = 1, y = 2.

NEED HELP ASAP

In the unit similar triangles and trigonometry, what is “ compass bearings ?”

Answers

Answer:

this is what I found "The bearing of a point is the number of degrees in the angle measured in a clockwise direction from the north line to the line joining the centre of the compass with the point. A bearing is used to represent the direction of one point relative to another point."

I can't really make sense of it though...

Answer:

What is the difference between constructing a square and constructing a regular hexagon?

The diameter of the circle is used for the square construction, but the radius of the circle is used for the regular hexagon construction.

The radius of the circle is used for the square construction, but the diameter of the circle is used for the regular hexagon construction.

The square will need two arcs along the circle, but the hexagon will need two arcs above and two arcs below the diameter of the circle.

The square will need six arcs along the circle, but the hexagon will need two arcs above and two arcs below the diameter of the circle.

Step-by-step explanation:

Which equation is the inverse of 2(x - 2)2 = 8(7 + y)?
-2(x - 2)2 = -8(7 + y)
y = 1 / x²-x-6
y=-2+ V28+4x
y - 2+28+4x

Answers

y 8

ha then u can do this

Answer:

y=2+√28+4x

Step-by-step explanation:

plz plz plz i really need this will mark biranleast


Triangle ABC is to be reflected across line m to create triangle A'B'C'.


Which best describes the location of B'?



4 units to the right of line m.


4 units to the left of line m.


8 units to the right of line m.


8 units to the left of line m.

Answers

Answer:

8 units to the right of line m

Step-by-step explanation:

when reflecting over a line, u count how many units is the pre-image away from the line in order to creat your image.

Answer:

4 units to the left of line m

Step-by-step explanation:

that's how I'm seeing it

Exponent of x?
Exponent of y?

Answers

Answer:

[tex] x^{33} [/tex]

Step-by-step explanation:

[tex] \dfrac{x^8y^{-26}}{x^{14}y^{-5} \times x^{-39}y^{-21}} = [/tex]

A negative exponent in the numerator is a positive exponent in the denominator.

A negative exponent in the denominator is a positive exponent in the numerator.

[tex] = \dfrac{x^8y^{5}x^{39}y^{21}}{x^{14}y^{26}} [/tex]

[tex] = \dfrac{x^{8 + 39} y^{5 + 21}}{x^{14}y^{26}} [/tex]

[tex] = \dfrac{x^{47} y^{26}}{x^{14}y^{26}} [/tex]

[tex] = x^{47 - 14} y^{26 - 26} [/tex]

[tex] = x^{33} y^{1} [/tex]

[tex] = x^{33} [/tex]

Find the volume of this solid

Answers

Answer:

[tex]997.66ft^3[/tex]

Step-by-step explanation:

[tex]V=\frac{3\sqrt{3} }{2} a^2h\\=\frac{3*\sqrt{3} }{2} *4^2*24\\=997.66ft^3[/tex]

what is the value of x ?

Answers

Answer:

Should be 33 degrees if it is congruen.

Step-by-step explanation:

Answer: 23

Step-by-step explanation:

124 + 33 = 157

180 - 157 = 23

Which is the solution to the following system?

y=3x+1
6x-2y=4

Answers

Answer:

x=-7/3 and y=-6

Step-by-step explanation:

6x-3(3x+1)=4

6x-9x-3=4

-3x-3=4

-3x=7

x=-7/3

y=3(-7/3)+1

y=-6

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