Mathematics High School

The measure of angle is 0 is 7pi/4. The measure of its reference angle is ___ °, and tan 0 is ____

Answers

Answer 1

Answer: pi/4 and -1

Step-by-step explanation:

The Measure Of Angle Is 0 Is 7pi/4. The Measure Of Its Reference Angle Is ___ , And Tan 0 Is ____

Related Questions

What is the scale factor for XYZ TO UVW?

Answers

Answer:

D. 2

Step-by-step explanation:

If you multiply any side from XYZ by 2 it will equal the same length of one of the sides of UVW.

Help please thanksssssssssss

Answers

Answer:

what is your from my from is province philippines

You are building a brick patio. the length of the patio is (x+11) feet.

the total area of the patio can be represented by x^2+14x+33. write an expression for the width of the patio

Answers

The expression that represents the width of the patio is (x+3) feet

Calculating area

From the question, we are to determine the width of the patio

The area of the patio = Length of the patio × Width of the patio

From the given information,

Length of the patio = (x+11) feet

Area of the patio = x^2+14x+33 = x²+14x+33

Putting the parameters into the formula,

x²+14x+33 = (x+11)  × Width of the patio

∴ Width of the patio = (x²+14x+33) / (x+11)

First, we will factor x²+14x+33

x²+14x+33

x²+11x+3x+33

x(x+11) +3(x+11)

(x+3)(x+11)

Thus,

Width of the patio = [(x+3)(x+11)] / (x+11)

∴ Width of the patio = (x+3) feet

Hence, the expression that represents the width of the patio is (x+3) feet

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If cos θ= 12 /13 and θ is located in the Quadrant I, find sin (2 θ ), cos(2 θ ), tan(2 θ )

Answers

Answers: sin(2∅) = 120/169,  cos(2∅) = 119/169, tan(2∅) = 120/119

What are trigonometric functions?

Trigonometric functions are used to establish the relationship between the sides and the angles of a right angle triangle.

Analysis:

If cos∅ = adjacent/hypotenuse =  12/13,

Then, opposite of the right angled triangle = [tex]\sqrt{13^{2} - 12^{2} }[/tex] = 5

sin∅ = 5/13, cos∅ = 12/13, tan∅ = 5/12

sin(2∅) = 2sin∅cos∅ = 2(5/13)(12/13) = 120/169

cos(2∅) = [tex]cos^{2}[/tex]∅ - [tex]sin^{2}[/tex]∅ = [tex](\frac{12}{13}) ^{2}[/tex] - [tex](\frac{5}{13} )^{2}[/tex] = 144/169 - 25/169 = 119/169

tan(2∅) = sin(2∅) / cos(2∅)  = 120/169 ÷ 119/169 = 120/119

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PLEASE HELP ASAP ILL MAKE YOU THE BRAINIEST Find the area of the rhombus

Answers

Answer:

the answer is 40

Step-by-step explanation:

A = 10 x 8 over 2 which is 40

37:28
Chin canned a number of quart jars and a number of pint jars of tomatoes from his garden. A pint is 16 ounces and
a quart is 32 ounces. The number of pints he canned is represented by p, and the number of quarts he canned is
represented by q. Which equation models the scenario if Chin canned a total of 1,280 ounces?
1,280+16p=32q
1,280+32q=16p
32q-16p=1,280
16p+32q = 1,280

Answers

The equation that models the scenario is 16p+32q = 1,280.

Which equation models the scenario?

Addition is the mathematical operation that is used to determine the sum of two or more numbers.

The equation that would model the scenario can be determined by adding the total pints and total quarts Chin has :

Total pint + total quart = total ounces

16p+32q = 1,280.

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chandra is constructing a weighted bookend for her shelf. it is a hollow rectangular prism, as shown, and she will fill it with sand to weigh it down

Answers

Since it is said to be a hollow rectangular prism,  she will fill it with sand to weigh it about (573 + 9/2) cubic inches.

What is the prism about?

Note that the volume is said to be:

V = L x B x H

316 in = 6 √2 x 2 √3

The answer is 573 while the other part of the prison is 9√2 cubic inches.

Therefore, option A is correct.

See full question below

Chandra is constructing a weighted bookend for her shelf. It is a hollow rectangular prism, as shown, and she will fill it with sand to weigh it

down

6 √(2  in

316 in

2 √3 in

What is the volume of the bookend?

(Hint: The volume of a rectangular prism is the product of its length width and height.)

OA (573 + 9/2) cubic inches

B. 36/12 cubic inches

C 108 cubic inches

D. 216 cubic inches

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Find A and B if Cos(A - B) = (sqrt(3))/2 ; Sin(A + B) = 1​

Answers

ask me if there was a part you didn't understand

Imagine that you are given two linear equations in slope-intercept form. You
notice that the slopes are the same, but the y-intercepts are different. How
many solutions would you expect for this system of equations?
O A. 1
OB. cannot be determined
OC. infinitely many
O D.O

Answers

Answer:

No solution.

Step-by-step explanation:

When two lines have the same slope but different y-intercepts, they are parallel.  Parallel lines never intersect, and therefore there is no solution.

Solve number 8 please

Answers

Answer:

see explanation

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k )² = r²

where (h, k ) are the coordinates of the centre and r is the radius

given

x² + y² - 8x + 8y + 23 = 0

collect the x and y terms together and subtract 23 from both sides

x² - 8x + y² + 8y = - 23

using the method of completing the square

add ( half the coefficient of the x / y terms )² to both sides

x² + 2(- 4)x + 16 + y² + 2(4)y + 16 = - 23 + 16 + 16

(x - 4)² + (y + 4)² = 9 ← in standard form

with centre = (4, - 4 ) and r = [tex]\sqrt{9}[/tex] = 3

this is shown in graph b

Sun cover manufactures umbrellas for a monthly fixed cost of $675,921.00 and a
variable cost per umbrella of $42.15. determine the break-even sales price per umbrella if sun cover manufactures 8,573 umbrellas per month
$109.95
$114.50
$120.99
$131.25

Answers

The break-even sales price per umbrella if sun cover manufactures the units is $120.99.

How to calculate the sales price?

This can be done by using the formula:

Break even units = Total fixed cost / (Price - Variable cost)

8573 = 675921/(Price - 42.15)

8573(P - 42.15) = 675921

8573P - 361351.95 = 675921

8573P = 675921 + 361351.95

8573P = 1037273.4

P = 1037273.4/8574

P = $120.99

Therefore, the price is $120.99.

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A helicopter flies 125 miles west and 20 miles north and lands.

The helicopter flies back on a direct course.

What is its bearing?

Answers

The answer is 6.25 is it dividing

For the function f(x) = 3x + 7, find the following:
a) f(2)=
c) f(x) = 8
b) f(-3) =
d) f(x) = 10

Answers

Answer:

a) 13

b) 1/3

c) -2

d) 1

Step-by-step explanation:

This is quite simple if you look at it from a different perspective. Imagine that when it says "f(2)" That you are plugging the number 2 in for every x on the right side of the equation:

For example:

f(x) = 3x + 7

f(2) = 3(2) + 7

f(2) = 6 + 7

f(2) = 13

________

f(-3) = 3x + 7

f(-3) = 3(-3) + 7

f(-3) = -9 + 7

f(-3) = 7 - 9 (This is just for those that hate negative values. You can rearrange the values as long as their sign is the same when you do move them. Ex: -14 + 6 - 4 + 9 == 9 + 6 - 14 - 4. I hope that makes sense.

f(-3) = -2

The other way is quite simple as well, if you look at it from a different perspective. Imagine that when it says "f(x) = 8" that you are changing the f(x) to the number 8:

For example:

f(x) = 8

f(x) = 3x + 7

8 = 3x + 7

8 - 7 = 3x

1 = 3x

x = 1/3

f(x)= 10

f(x) = 3x + 7

10 = 3x + 7

10 - 7 = 3x

3 = 3x

3/3 = x

1 = x

I hope this helps!

Answer:

a) 13
b) 1/3
c) -2
d) 1

Step-by-Step Explanation:

=> f(x) = 3x + 7

a) f(2)

Substitute the Value of ‘x’ :-

= 3x + 7
= 3(2) + 7
= 6 + 7
=> 13

Hence, f(2) = 13

b) f(x) = 8

Equate the Function to 8 :-

3x + 7 = 8
3x = 8 - 7
3x = 1
=> x = 1/3

Hence, x = 1/3

c) f(-3)

Substitute the Value of ‘x’ :-

= 3x + 7
= 3(-3) + 7
= -9 + 7
=> -2

Hence, f(-3) = -2

d) f(x) = 10

Equate the Function to 10 :-

3x + 7 = 10
3x = 10 - 7
3x = 3
=> x = 3/3 = 1

Hence, x = 1

If f(x)=2(3x-5) when f(x) =74,what is the value of x??

Answers

Answer:

x = 14

Step-by-step explanation:

given f(x) = 2(3x - 5) and f(x) = 74 , then equating gives

2(3x - 5) = 74 ( divide both sides by 2 )

3x - 5 = 37 ( add 5 to both sides )

3x = 42 ( divide both sides by 3 )

x = 14

The answer is 14
Hopefully this helps

Expand the expression to yield a trinomial of the form
ax² + bx + c.

(2x + 3)²

Answers

Step-by-step explanation:

(2x + 3)(2x + 3)

4x² + 6x + 6x + 9

4x² + 12x + 9

What is the value of the underline digit?

119.65

Answers

1 1 9 . 6 5
1 is the the hundreds place
1 is the tens place
9 is the ones place
6 is the tenths place
5 is the hundredths place

Question 7(Multiple Choice Worth 1 points)
(02.05 LC)

Given f(x) and g(x) = f(x + k), use the graph to determine the value of k.

Two lines labeled f of x and g of x. Line f of x passes through points 0, 4 and negative 4, 0. Line g of x passes through points negative 9, 0 and negative 4, 5.

−4
−5
4
5

Answers

The value of k based on the information given will be k = 2.

How to calculate the value?

It should be noted that the line of f(x) passes through the point (-4, 0) and (0, 4). The line of g(x) goes through (-2, 0) and (0, 4).

The slope of x will be:

= (4 - 0)/(0 + 4)

= 4/4

= 1

By using slope point form, y = kx + 4.

Substitute x = 2.

g(-2) = -2k + 4 = 0

2k = 4

k = 4/2 = 2

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Graph the equations to find the solution(s) to the system.

y=x+3y=13(x+5)(x−1)



Use the Line tool to graph the line.

Use the Parabola tool to graph the parabola. Choose maximum or minimum point first and then a point on the parabola.

Answers

By graphing both equations, we see that the solutions of the system of equations are  (1.05, 4.05) and  (-4.97, - 1.97)

How to solve the system of equations?

Here we have the system of equations:

y = x + 3

y = 13*(x + 5)*(x - 1).

To solve this system graphically, we need to graph both equations and see where the curves intercept.

The graph of the two equations can be seen below.

There are two solutions, one is (1.05, 4.05) and the other is (-4.97, - 1.97)

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Jill jogs 3/4 of a mile in 1/10 of an hour at this rate how fast does she run one mile.

10 minutes
6 minutes
8 minutes

Answers

Answer:

8 minutes

Step-by-step explanation:

Jill jogs 3/4 of a mile in 1/10 hour.

⇒ 3/4 of a mile takes 6 minutes

For one mile :

3/4 mile x 4/3 : 6 x 4/3 minutes1 mile : 2 x 4 minutes1 mile takes 8 minutes
3/4 mile she ran in 1/10hour

1 mile she can run

1/10÷3/44/3(1/10)4/302/15hour8/60hour

8 mins

find the length and width of a rectangle whose
Length is 5cm longer than it’s width
Whose area is 50cm

Answers

Step-by-step explanation:

width= x (let)

length= x+5

Area=50 cm

Now ,

area = l ×b

50 = (X×X+5)

50 = (2X + 5)

50÷ 2= X+5

25 -5 = X

X=20

LENGTH = X+5

20+5

=25

The weight, w, that a horizontal beam can support varies inversely as the
length, l, of the beam. a beam measuring 5 meters in length can support
430 kilograms. how much weight can a beam measuring 2 meters
support?

Answers

A beam measuring 2 meters can support 172 kilograms

How to determine the weight?

The variation is a direct variation.

So, we have:

w = kl

Where k is the constant of variation.

When l = 5, w = 430.

This means that:

430 = 5k

Divide both sides by 5

k = 86

So, we have:

w = 86l

When l = 2, we have:

w = 86 * 2

Evaluate

w = 172

Hence, a beam measuring 2 meters can support 172 kilograms

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Is 0.2775 a rational number

Answers

Answer:

yes it is

Step-by-step explanation:

It is a rational number, as it can be written as a fraction.

please help me im just really slow

Answers

So let’s put the missing number in as x
5/4=x/10 we cross multiply
5x=40
Isolate x so we divide both sides by 5 (whatever we do to one side we do to the other)
x=8
3. 8/10
4. 20/30
5. 20/24
6. 1/3
7. 9/33
8. 16/38
9. 16/36
10. 1/3
11. 9/18
12. 1/3
13. 12/28
14. 3/5

I need help on this please

Answers

Answer:

-22

Step-by-step explanation:

each mark decreases by three, two marks down from 16 would be 16+3+3; which equals 22, and it has to be negative

hope this helped!

I think it’s either 19


But I’m not 100% sure, but why I think this is because 10…..16
So between those 2 numbers is 13
That means that it adds by 3
Which maybe 16+3=19
sorry tho I’m not that sure but I think it is ?

A line has a slope of -3 and passes through the point
passes through the point (-2, -3/2)
By substituting into the equation y = mx + b, find the value of b for this line

Answers

Answer:

If I am not mistaking it should be -7.5

Step-by-step explanation:

Answer:

  b = -15/2

  y = -3x -15/2

Step-by-step explanation:

The value of the y-intercept can be found from a point and the slope of the line by solving the slope-intercept equation for the intercept.

__

intercept

  y = mx + b . . . . . . . equation of a line with slope m and y-intercept b

  y -mx = b . . . . . . . . subtract mx from both sides

For the point (x, y) = (-2, -3/2) and slope m = -3, the value of b is ...

  b = -3/2 -(-3)(-2) = -3/2 -6

  b = -15/2 . . . . . the value of b for this line

__

equation of the line

Then the equation for the line is ...

  y = mx +b

  y = -3x -15/2

There is a bag filled with 5 blue and 4 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 of the same colour?

Answers

5 blue, 4 red = 9 total

Probability (Blue, Blue)  = 5/9 x 5/9 = 25/81 = 0.30864

Probability (Red, Red) = 4/9 x 4/9 = 16/81 = 0.19753

Probability (Blue,Blue) or (Red,Red) = 25/81 + 16/81 = 41/81 = 0.506173

Fraction answer = 41/81

Decimal answer = 0.506173 (round off as needed)

Yusuf and some friends are going to the movies. At the theater, they sell a bag of popcorn for $4 and a drink for $3.25. How much would it cost if they bought 4 bags of popcorn and 8 drinks? How much would it cost if they bought p bags of popcorn and d drinks? Total cost, 4 bags of popcorn and 8 drinks: Total cost, p bags of popcorn and d drinks:

Answers

Answer:

$42 would be the correct answer.

Is y=2x-3 a funtion?

Answers

Answer:

yes

Step-by-step explanation:

Yes.

The graph of y = 2x - 2 is a straight line sloping up to the right.

It passes the vertical line test, so it is a function.

I need help, please. I don’t understand

Answers

Answer:

60%

Step-by-step explanation:

So, this question is saying the bowls can be between a diameter of 6.95 and 7.05

Box 1, 3 and 5 are in this margin.

Box 2 and 4 are not.

3/5 boxes can be included.

3/5 is 6/10

6/10 is 60%

Write this percentage as a fraction in its simplest form. 96 %
(pls)

Answers

Answer:

24/25

Step-by-step explanation:

96%=0.96. 96/100=48/50=24/25

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