The sum of a number and seven more than the number is 43. What is the number?

Answer:

n=27

Step-by-step explanation:

(n+6)° + (2n+5)° +90° = 180°

3n+9=90

3n=81

n=27

Sorry if I did it wrong

Answer:

Step-by-step explanation:

Proper application of the property:

Vinay multiplied 5 and 25 as well, which is incorrect.

Correct answer choice is C.

Answer:

15

Step-by-step explanation:

95 - 50 = 45

45/3 = 15

Step-by-step explanation:

28 dollars is the answer

Given: [tex]cosec[/tex] [tex]A[/tex]  [tex]=\sqrt{2}[/tex]

∴ [tex]A=\frac{\pi }{4} =45^{0}[/tex]

[tex]sin[/tex] [tex]A[/tex] [tex]=sin[/tex] [tex]45^{0}[/tex] = [tex]\frac{1}\sqrt{2}[/tex]

[tex]cot[/tex] [tex]A[/tex] [tex]=cot[/tex] [tex]45^{0}[/tex] [tex]=1,[/tex]

[tex]tan[/tex] [tex]A[/tex] [tex]=[/tex] [tex]tan[/tex] [tex]45^{0}[/tex] [tex]=1[/tex]

[tex]cos[/tex] [tex]A[/tex] [tex]=[/tex] [tex]cot[/tex] [tex]45^{0}[/tex] [tex]=\frac{1}{\sqrt{2} }[/tex]

∴ [tex]=2[/tex]

[tex]\large\underline{\sf{Solution-}}[/tex]

METHOD 1: Using Trigonometric values.

We have given that,

[tex]\sf\cosec\theta=\sqrt2[/tex]

So,

[tex]\sf\theta=45^{\circ}[/tex]

We need to find:

[tex]\sf\dfrac{1+\sin^2\theta+\cos^2\theta}{1+\sec^2\theta-\tan^2\theta}[/tex]

So,

[tex]\sf\longmapsto\dfrac{1+\sin^2(45^{\circ})+\cos^2(45^{\circ})}{1+\sec^2(45^{\circ})-\tan^2(45^{\circ})}[/tex]

[tex]\sf\longmapsto\dfrac{1+\left(\frac{1}{\sqrt2}\right)^2+\left(\frac{1}{\sqrt2}\right)^2}{1+(\sqrt2)^2-(1)^2}[/tex]

[tex]\sf\longmapsto\dfrac{1+\frac{1}{2}+\frac{1}{2}}{1+2-1}[/tex]

[tex]\sf\longmapsto\dfrac{1+1}{2}[/tex]

[tex]\sf\longmapsto\dfrac{2}{2}[/tex]

[tex]\sf\longmapsto\bf1[/tex]

METHOD 2: Using Trigonometric Identities

We need to find:

[tex]\implies\dfrac{1+\sin^2\theta+\cos^2\theta}{1+\sec^2\theta-\tan^2\theta}[/tex]

But, we know that,

[tex]\sf\red⇛ \sin^2\phi+\cos^2\phi=1[/tex]

And,

[tex]\sf\red⇛ \sec^2\phi-\tan^2\phi=1[/tex]

So,

[tex]\sf\longmapsto\dfrac{1+(\sin^2\theta+\cos^2\theta)}{1+(\sec^2\theta-\tan^2\theta)}[/tex]

[tex]\sf\longmapsto\dfrac{1+1}{1+1}[/tex]

[tex]\sf\longmapsto\dfrac{2}{2}[/tex]

[tex]\sf\longmapsto\bf1[/tex]

Therefore, by both methods the answer is 1.

Learn more:

Similar questions

Prove that:

\cos( \frac{3\pi}{2} + \theta) \cos(2\pi + \theta) [ \cot( \frac{3\pi}{2} - \theta) + \cot(2\pi + \theta) ] = 1...

https://brainly.com/question/25207676

Answer:

A (0,0)

Step-by-step explanation:

When a function intersects the y-axis then the point of intersection is called y-intercept of the function,

Also, for y-intercept x = 0.

That is, if f(x) is the function then its y-intercept is (0, f(0) )

By the given table for x = 0, f(x) = 0

Hence, the y-intercept of the given function is (0,0),

Option A is correct.

The attached image is the graph.

Answer:

The Graph Below

Step-by-step explanation:

You would start at 2 on the y-axis and going down 3 on the y-axis and move over 1 on the x-axis

I hope this helps

Answer:

330 day passes, 367 tournament passes

Step-by-step explanation:

The number of day passes sold is 330, while the number of tournament passes sold is 367.

A set of simultaneous equations, often known as a system of equations or an equation system, is a finite collection of equations for which common solutions are sought.

Let the number of day passes sold be represented by x, while the number of tournament passes sold is y.

Given that on the first day of a water polo tournament, the total value of tickets sold was $17,610.

y = x + 37

Also, The number of tournament passes sold was 37 more than the number of days passes sold.

20x + 30y = 17610

20x + 30(x + 37) = 17610

20x + 30(x+ 37) = 17610

20x + 30x + 1110 = 17610

50x = 16,500

x = 16,500 / 50

x = 330

y = x + 37

y = 330 + 37

y = 367

Hence, the number of day passes sold is 330, while the number of tournament passes sold is 367.

Learn more about the System of equations here:

https://brainly.com/question/12895249

#SPJ2

12x - 3y

12(-14) - 3(3)

-168 + 9

-159

Hope this helps!! :)

Answer:

-177

Step-by-step explanation:

12(-14)-3(3)

-168-9

-177

Answer:

15

Step-by-step explanation:

[tex]x^{2} + 2x = 3^{2} + 3 * 2 = 9 + 6 = 15[/tex]

3 · 2 = 6

2 · 3 = 6

6 + 6 = 12

Have a luvely day!

Answer:

9x

Step-by-step explanation:

Answer:

1. 12x - 6

2. -2x + 17

Step-by-step explanation:

1.

2.

Answer:

[tex]\boxed{\sf 12x-6}[/tex]

[tex]\boxed{\sf -2x+17}[/tex]

Step-by-step explanation:

[tex]\sf 1)\: 8x - 2(3 - 2x)[/tex]

Apply Distributive Property to multiply -2 by (3-2x):

→ [tex]\sf 8x-6+4x[/tex]

Combine like terms:

→ [tex]\sf (8x+4x)[/tex]

[tex]\boxed{\sf 12x-6}[/tex]

______________________________

[tex]\sf 2)\: 4x + 5-3(2x - 4)[/tex]

Apply Distributive property:

Multiply -3 by (2x-4):

[tex]\sf 4x+5-6x+12[/tex]

Combine like terms:

→[tex]\sf (4x+(-6x))[/tex]

→ [tex]\sf (5+12)[/tex]

[tex]\boxed{\sf -2x+17}[/tex]

_____________________________

Answer:

25.)Yesss

26.)Yesss she have enough money to buy a popcorn and soda

27.)?

Step-by-step explanation:

#Hopeee it Helpssss

follow me pls.

Answer:

no sorry

Step-by-step explanation:

i just need the points tho so thanks

Answer:

[tex] \sqrt[3]{16 {a}^{3} } = \sqrt[3]{2(8) {a}^{3} } = 2a\sqrt[3]{2} [/tex]

I hope I helped you^_^

Answer:

B) 5/8

Step-by-step explanation:

Because we are working with fractions that have different denominators, we need to find the lowest common denominator, which would be 8, because 1/8 cannot be divided anymore in 2 or 4, but 1/2 can be multiplied in eighths.

So, to make 1/2 into eighths, we have to multiply both the numerator and denominator by 4 in order for 2 to become 8:

1/2 * 4 = 4/8

Now, we can add the amounts of the total granola bar that he consumed:

4/8 + 1/8 = 5/8

Because 5/8 cannot be simplified any further, that is our final answer.

Hope this helps :)

Answer:

y=-2x+1

Step-by-step explanation:

Just look at photo dap

Answer:

More and more of product AB but limited to the amount of B

Step-by-step explanation:

Adding more of one substance which makes up the reactant will increase the number of product AB that will be obtained but limited by the amount of B.

The amount of reacting substances is directly proportional to the amount of product yield. This means that adding more and more of the substance which makes up the reactant increases the amount of atoms reacting to form a product.

Hence, adding more and more of only substance A will increase the product AB, however, the amount of B in the product will be limited.

Learn more :https://brainly.com/question/12373196

Answer:

Step-by-step explanation:

a=e= 90 b/c it is square

b= 45, it half of square

c base in rule of sin or cos, tan.

d=2,85

Answer: No difference

Step-by-step explanation:

The function f(x)=-2x+6 will produce the very same points in the table.

x y y calculated

2 2 2

5 -4 -4

8 -10 -10

11 -16 -16

The points are all on the line y=-2x+6. They describe the same line, which will have the same intercept.

Answer:

30517578125

Step-by-step explanation:

Answer: The attachment is a bit difficult to read, and long.  I'll make some suggestions and add some detail to a few of the problems, but would ask that these suggestions be applied to other problems to find the answers.

Step-by-step explanation:

9.   Coinciding lines line on top of each other.  I.e., they are the same equation.  If we take A, for example, we can reduce the second expression by dividing by 2:  (2x+4y=6)/2 = (x + 2y = 3).  This matches the first expression (x + 2y = 3).  !   Whoa, that went fast.

10.   (x+8)(x-8) = x² +8x -8x - 64 = x² - 64

11.  I don't have the time to explain how one can factor, but practice is important.  And I don't know if this is completely factored, but it matches one of the options.  Try (n-2)(n²+2n + 4)  [n³ +2n² +4n - 2n² -4n -8 = n³ - 8.  It works.

12.  The denominators are the same, so add the numerators and keep the denominator.  (7x+4y)/x²y

13.  The slope is the "Rise" over the "Run."  (3,4), (8,-1)  Rise = (-1 - 4) = -5.  Run = (8-3) = 5  Slope = -(5/5) = -1

14.  A line with a positive slope will move upwards as x increases.  We can eliminate options C and D immediately.  That leaves A and B.  The line we are looking for is y = 5x + b.  We are not given b, the y-intercept, so determine the slopes of both lines:  I get 4 for A and 5 for B.  To confirm B is correct, we could calculate b for y=5x+b by using given point, (2,3).  3 = 5*2 + b, b = -7.  We can't see this point (0,-7) on the graph, but it appears correct.  B is the best answer.

15.  The line will have the form of y=mx+b.  Calculate m, the slope, from the two points (3,1) and (4,7).  Rise = 6, Run = 1  Slope = 6.  y=6x+b.  Find b by using either of the given poins and solving for b.  I'll choose (3,1).  y=6x+b;  1 = 18 + b; b = -17.  The equation is y=6x-17.  Rearrange option A (y =6x - 17).

16.  The second value in each factor must, when multiplied together, equal the final term of the original expression, -9y².  I see only one option for which that is true, C.  Multiply the two factors in C to be certain, and you'll find they result in the correct expression.

Answer:

This is the answer, dont forget to change the wording or you'll get a plagiarism strike.

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

44 dollars after 4 days so 44 divided by 4 = 11

Answer:

x-intercept = 2

Step-by-step explanation:

Sum = 3

Product = -10

Factors = 5 , (-2)      {5*(-2) = -10  & 5 +(-2) = 3)

Rewrite the middle term using the factors: 3x = 5x - 2x

x² + 3x - 10 = x² + 5x - 2x - 10

                  =x(x + 5) - 2(x + 5)

                  = (x +5)(x - 2)

x² + 8x +15 = x² + 3x + 5x + 15

                  = x(x + 3) + 5(x + 3)

                  = (x + 3)(x + 5)

[tex]f(x) =\dfrac{x^{2}+3x -10}{x^{2}+8x + 15}\\\\=\dfrac{(x+5)(x -2)}{(x+5)(x+3)}\\\\=\dfrac{x-2}{x+3)}[/tex]

At x-intercept, y = o

[tex]\dfrac{x -2}{x + 3}=0\\[/tex]

x - 2 = 0

x  = 2

Answer:

a) 168

b) 3

Step-by-step explanation:

a) 56÷4=14 14×12=168

b) 56÷4=14 56-14=42 42÷14=3