Evaluate; tan^2 60 - sin^2 45.​

Answers

Answer 1

Answer:

tan^2 60 - sin^2 45

= (√3)^2- (1/√2)^2

= 3-1/2

= 6-1/2

= 5/2

Answer 2

Answer:

[tex]\frac{5}{2}[/tex]

Step-by-step explanation:

The exact value of tan(60) is sqrt(3), and sin(45) is 1/sqrt(2)

tan^2 (60) - sin^2 (45)

[tex]=(\sqrt{3})^2-(\frac{1}{\sqrt{2}} )^2\\=3-\frac{1}{2}\\ = \frac{5}{2}[/tex]


Related Questions

12.A T.V. is sold for Rs. 17,280 at a profit of 20%. Find the cost price of the T.V.

Answers

Answer:

Rs. 13,824

Step-by-step explanation:

20% of Rs. 17,280

= Rs.3456

Rs.17,280- Rs.3456

=Rs.13,824

Answer:

14400

Step-by-step explanation:

If 120%=17280

.100%=??

100%×17280/120

=1440×10=14400

Can someone tell me what a linear function is? Sorry, I'm just really confused. Whoever replies first will get marked Brainliest!! (Also, I am giving 50 points.)​

Answers

Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y.

Answer:

A linear function is described below

Step-by-step explanation:

A linear function describes a proportional relationship in with 1 input has only 1 output, however more than one input may have the same output. There may be many steps to find the outcome of an input

The formula for simple interest is I=Prt,I=Prt, where II is the interest earned, PP is the principal, rr is the interest rate and tt is the number of years. Solve the formula for tt in terms of P,P, II and r.r.

Answers

Answer:

t = I/pr

Step-by-step explanation:

I = prt

divide both sides by pr

i/pr = prt/pr , pr cancel out

I/pr = t

t = I/pr

pls picture is very easy help pls

Answers

Where is the pic sir?

If a=4,b=5 and c=6,find 2c-a-b

Answers

2×6-4-5=3 just like this

what is the LCD of 3/10 and 4/5

Answers

The LCD would be 10 because that is the lowest number that both 10 and 5 go into.

please evaluate this expression 8.524 x 0.71
PLEASE SHOW YOUR WORK!!

Answers

Answer:

I have put an image i made. answer - 6.05204

Step-by-step explanation:

pls mark me brainliest :))

       8 .5 2 4

×           .7 1

+       8 5 2 4

+   5 9 6 6 8  

______________________________

=  6 .0 5 2 0 4

The expression results to 6.05204.

What are Decimal?

A group of numbers between integers on a number line are known as decimals. They are merely an additional mathematical representation of fractions. Decimals allow us to express measurable quantities like length, weight, distance, money, etc. with greater accuracy. Integers, also known as whole numbers, are represented to the left of the decimal point, while decimal fractions are represented to the right of the decimal point.

Given:

8.524 x 0.71

Now, Multiplying the Decimal

           8 . 5 2 4

           0 . 7 1

        _________

         8  5  2  4

 5  9  6  6  8   x

 0  0  0  0  x  x

_____________

  6. 0  5  2  0  4

Hence, the expression results to 6.05204.

Learn more about Decimal here:

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A positive integer is twice another. The sum of the reciprocals of the two positive integers is
314
314

. Find the two integers.

Answers

Answer:

628

Step-by-step explanation:

add 314 and 314 together

Subtract the linear expressions.
(-3+4x-9x)-(9-11x+7)
Answer:
PLZ HELP PLZ!!!

Answers

Answer:

6x - 19

Step-by-step explanation:

(-3 + 4x - 9x) - (9 - 11x + 7)

first combine like terms

(-3 - 5x) - ( 16 - 11x)

because the negative is on the outside of the equation it gets distributed inside

-3 - 5x - 16 + 11x

and then solve

6x - 19

4. What is the hypothesis of the following conditional statement?
Conditional Statement: If a figure has three sides, it is a triangle.
Notebo...
0 If it is a triangle, a figure has three sides.
O A figure has three sides.
O A triangle has three sides,
O It is a triangle.

Answers

Answer:

A) If it is a triange, the figure has 3 sides.

Step-by-step explanation:

The first half or in this case, the thing is the conclusion statement

Answer:

B: A figure has three sides.

Step-by-step explanation:

The hypothesis is the first part of the conditional statement.

Aloysius was 3 times as old as his son 8 years ago. How old is his son now if
their total age is 68 years now?

Answers

9514 1404 393

Answer:

  21

Step-by-step explanation:

8 years ago, both were 8 years younger, so the total of their ages would have been 68 -2×8 = 52. If the ratio of their ages was 1 : 3, then the son's age then was 1/(1+3) = 1/4 of the total. 1/4×52 = 13.

Now, 8 years later, the son's age is 13 +8 = 21.

__

Then, Aloysius was 3×13 = 39. Now, Aloysius is 39+8 = 47, and the sum of their ages is 21 +47 = 68, as required.

PLEASE HELP!!! Question 1 & 2

Answers

Answer:

dont know

Step-by-step explanation:

so sorry

:)fftcyctcyycycgccyvyctycgccy

Answers

Answer:

:)fftcyctcyycycgccyvyctycgccy

Step-by-step explanation:

find the sum of 29 and the product of 2 and 9 and the difference between 2and9​

Answers

Answer:

sorry bro im just getting points


Express 24/40 and 18/42 in their simplest forms.

Answers

Answer:

24/40 = 4/5

18/42 = 3/7

Step-by-step explanation:

Sana makatulong

Answer:

24/40 =3/5

18/42 = 3/7

Step-by-step explanation:

1. finding the common factor that can bring 24/40 in the simplest form

2 finding the common factor that can break down 18/42 in the simplest form

4. The length of a rectangle is 2 centimeters less than twice its width (w) What is its
width if its perimeter is 50 centimeters

Answers

Answer:

This is math

Step-by-step explanation:

Answer:

width=9cm

Step-by-step explanation:

length=16cm

Whoever gives me the answer I will make it brainliest

Graph the equation: C = 25h + 50

Answers

Here it is…

Simplifying

C = 25h + 50

Reorder the terms:

C = 50 + 25h

Solving

C = 50 + 25h

Solving for variable 'C'.

Move all terms containing C to the left, all other terms to the right.

Simplifying

C = 50 + 25h

Solve for k

10/3 = k/9

K =

Answers

10/3=k/9
(10/3)9=k
30=k

Answer:

[tex]K=30[/tex]

Step-by-step explanation:

[tex]rewrite \: the \: equation \: as \: \frac{k}{9} = \frac{10}{3} [/tex]

[tex] \frac{k}{9} = \frac{10}{3} [/tex]

[tex]multiply \: both \: sides \: of \: the \: equation \: \\ by \: 9.[/tex]

[tex]9. \frac{k}{9} = 9. \frac{10}{3} [/tex]

[tex]simplify \: both \: sides \: of \: the \: equation.[/tex]

[tex]cancel \: the \: common \: factor \: of \: 9.[/tex]

[tex]cancel \: the \: common \: factor.[/tex]

[tex]9. \frac{k}{9} = 9. \frac{10}{3} [/tex]

[tex]rewrite \: the \: expression.[/tex]

[tex]k = 9. \frac{10}{3} [/tex]

[tex]cancel \: the \: common \: factor \: of \: 3.[/tex]

[tex]factor \: 3 \: out \: of \: 9.[/tex]

[tex]k=3(3)⋅ \frac{10}{3} [/tex]

[tex]cancel \: the \: common \: factor.[/tex]

[tex]k=3⋅3⋅ \frac{10}{3} [/tex]

[tex]rewrite \: the \: expression.[/tex]

[tex]k=3⋅10[/tex]

[tex]multiply \: 3 \: by \: 10.[/tex]

[tex]k = 30[/tex]

For the arithmetic sequence -3 , -15 , -27 , -39 , -51, ... , The 50th term is .........................
Please help

Answers

Answer:

top leve : nobles

second level:priests

third level: craftment

bottom level:peasent & slavr

Does anyone have the answer for question 18?

Answers

Answer:

adef

Step-by-step explanation:

What is the area
of the triangle?

Answers

Area are all sides multiplied the formula can be found online

Which is the equation of the circle that has a diameter with endpoints located at (0, –3) and (6, 5)?
(x – 6)^2 + (y – 5)^2 = 100
(x – 3)^2 + (y – 1)^2 = 25
x^2 + (y + 3)^2 = 100
(x – 5)^2 + y^2 = 25

Answers

The equation of the circle that has a diameter with endpoints located at (0, –3) and (6, 5) is;

(x – 3)² + (y – 1)² = 25

The midpoint of the diameter of a circle is it's center.

As such; the coordinates of its center are;

x = (0 + 6)

x = 3

y = (-3 + 5)/2

y = 1

The coordinates of the center are then; (3, 1)

The radius of a circle is half the length of the diameter;

Radius, r = d/2

where; d = √(6-0)² + (5-(-3))²

d = √36 + 64

d = √100

d = 10

Therefore, radius, r = 10/2 = 5.

Therefore, the equation of the circle usually takes the form;

(x -f)² + (x -g)² = r²

In this scenario; the equation is;

(x – 3)² + (y – 1)² = 25.

Read more;;

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What are the coordinates of the vertex and the equation of the axis of symmetry of
the parabola defined by 'y=(x-4)^2 + 7?

Answers

Answer:

Vertex: (4, 7)

Axis of symmetry: x=4

Please solve and give answer

Answers

Answer:

1/15

Step-by-step explanation:

(4-2)/(150-120)

= 2/30

Aiden makes $22 per hour and Parker makes $26 per hour. Additionally, this week Aiden made a bonus of $100. Given that A and P represent the number of hours worked by Aiden (A) and Parker (P), which expression can be used to represent their combined earnings for the week?
A) 24AP + 100
B) 24 + AP + 100
C) 22A + 26P + 100
D) 22A + 26P(100)

Answers

Answer:

It's C

Step-by-step explanation:

So if Aiden earns 22 per hour and Parker 26 per hour too you need to add 22+26 and Aiden had a bonus of $100 so you need to do this 22+26= __ + 100 =

Hope it helps

The expression that can be used to represent their combined earnings for the week is 22A + 26P + 100: Option C is correct

Let the amount that Aiden made per hour be A

Let the amount that Parker made per hour be P

Bonus earned by Aiden this week = $100

If Aiden makes $22 per hour, the total amount made by Aiden = 22A + 100

If Parker makes $26 per hour, the total money made by Parker  = 26P

Total earning = total amount made by Aiden + total amount made by Parker

Total earning = 22A + 100 + 26P

Hence the expression that can be used to represent their combined earnings for the week is 22A + 26P + 100

Learn more here: https://brainly.com/question/1118721

Here is a line l. Plot 2 points, A and B, which stay in the same place when they are reflected over t. Plot 2 other points, C and D, which move when they are reflected over l.​

Answers

Answer:

A and B would be points located along the line itself.

C and D would be points either left or right of the line, but not on the line itself.

Step-by-step explanation:

What is the component form of the vector
that maps ABC to A'B'C?

Answers

Answer:hello

Step-by-step explanation:

ok now poop

The price of a small cabin is $80,000. The bank requires a
5% down payment. The buyer is offered two mortgage options20-year fixed at 9% or 30-year fixed at 9% Calculate the amount of interest paid for each option
How much does the buyer save in interest with the 20-year option?
Find the monthly payment for the 20-year option
(Round to the nearest dollar as needed)

Answers

Answer: $208.32

I think this is the answer.

Determine the equation of the line passing through the points
(4,-1) and (-2,-4)

Answers

Answer:

y = 1/2x - 3

Step-by-step explanation:

the slope:

[tex]m=\frac{-4-(-1)}{-2-4} =\frac{-4+1}{-6} =\frac{-3}{-6} =\frac{3}{6} =\frac{1}{2}[/tex]

the equation:

with the point (4, -1)

[tex]y-(-1)=\frac{1}{2} (x-4)[/tex]

[tex]y+1=\frac{1}{2}x-2[/tex]

[tex]y=\frac{1}{2} x-2-1[/tex]

[tex]y=\frac{1}{2} x-3[/tex]

I hope this help you

solve pls brainliest

Answers

The Answers

1. -2.65

2. 5.128

Answer:

-2.65

5.128

Step-by-step explanation:

-5.3*0.5 = -2.65

-512.8(-0.01)

-512.8 * -0.01 = 5.128

(two negatives multiplied cancel out to create a positive)

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