The terminal of theta is (sqrt2/2, sqrt2/2) what is tan theta?

Answer:

40

Step-by-step explanation:

Two denominator are 5 and 8, we need to find their L.C.F. so since the only common number between 5 and 8 is 1, so,

L.C.F. = 1×5×8 = 40, so common denominator = 40

Answer:

C. 12 for $6.00

Step-by-step explanation:

Answer:

C. 12 for $6.00

Step-by-step explanation:

better than $13.00 for 24. as that'd be $6.50 for 12..

Answer:

True

Step-by-step explanation:

Answer:

(2,-4)

Step-by-step explanation:

We subtract 5 to the y-coordinate, so we have (2,-4)

Answer:

I don't understand the question, but I think its 18°

Step-by-step explanation:

Answer:

Option B is the answer

Step-by-step explanation:

x= 8, y=4√2

We know from pythagorean's law

(Hypotenuse) ^2 = (base)^2 + (height) ^2

Answer:

I hope it will help you.

have a great day . ☺☺

Answer:

Step-by-step explanation:

x = y + 2

(1/3)* (x - 5 ) = (3/7)(y - 5)      Multiply both sides by 3

(x - 5) = 9/7 (y -5)                  Multiply both sides by 7

7(x - 5) = 9(y - 5)                   Remove  the brackets

7x - 35 = 9y - 45                  Add 45 to both sides

7x + 10 = 9y

y = x - 2

7x + 10 = 9(x - 2)

7x + 10 = 9x - 18

7x +10 + 18 = 9x

28 = 2x

x = 14

y = 14 -2

y = 12

Answer:

The answer is 75

Step-by-step explanation:

3/8*200=75.

Answer:

$763,808.48

Step-by-step explanation:

765,000 - (4,697.77 - (765,000 * .055/12)) =

$763,808.48

We know

[tex]\boxed{\sf Surface\:area=4\pi r^2}[/tex]

[tex]\\ \sf\longmapsto 4\pi r^2=7238[/tex]

[tex]\\ \sf\longmapsto 4\times \dfrac{22}{7}r^2=7238[/tex]

[tex]\\ \sf\longmapsto r^2=\dfrac{7238\times 7}{88}[/tex]

[tex]\\ \sf\longmapsto r^2=\dfrac{5066}{88}[/tex]

[tex]\\ \sf\longmapsto r^2=575.75[/tex]

[tex]\\ \sf\longmapsto r^2\approx576[/tex]

[tex]\\ \sf\longmapsto r\approx\sqrt{576}[/tex]

[tex]\\ \sf\longmapsto r\approx24in[/tex]

Answer:

B. 24 in.

Step-by-step explanation:

The given problem supplies as with the surface area of the beach ball and we are to look for the required radius. Assuming that the beach ball is perfectly shaped in the form of a sphere, then the formula for calculating the surface area of a sphere is given as:

SA = 4 π r^2

where r is the radius of the sphere and SA is the surface area which is given to be 7238 in^2

Rewriting the formula in terms of r:

r^2 = SA / 4 π

r = sqrt (SA / 4 π)

Solving for r:

r = sqrt (7238 in^2 / 4 π)

r = 24 in

Answer:

24 inches

Answer:

42a+36

Step-by-step explanation:

6(7a+6)

Distribute

6*7a + 6*6

42a+36

Answer:

42a + 36

Step-by-step explanation:

Answer:

97

Step-by-step explanation:

76+83+89+95+100=443

there are all 6 tests.

we consider marks of last lest as "X"

x should be added to total mark

to obtain average mark, total marks should divided by no. of tests.

(443+x)/6=90

443+x=90*6

443+x=540

x=540-443

x=97

Answer:

[tex]\boxed {\boxed {\sf B. \ 3^x + 14x-2}}[/tex]

Step-by-step explanation:

We are given 2 functions:

We are asked to find (f+g)(x) or f(x)+ g(x). Essentially, we are finding the sum of the functions.

[tex](f+g)(x)=f(x)+ g(x)[/tex]

[tex](f+g)(x)=(3^x + 10x) + (4x-2)[/tex]

[tex](f+g)(x)= 3^x + 10x + 4x -2[/tex]

Simplify the expression by combining like terms. There are 2 terms with a variable of x, so they can be added together.

[tex](f+g)(x)= 3^x + ( 10x + 4x) -2[/tex]

[tex](f+g)(x)= 3^x + 14x -2[/tex]

The sum of the functions f(x) and g(x) is 3ˣ + 14x -2 and choice B is correct.

Answer:

d. r > 0, V(r) > 0

Step-by-step explanation:

The radius represent a measure of lenght and the volume a measure of space, and both, lenght and space, cannot be negative, so both have to be > 0

Answer:

The length of the third side is 9.

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

12² + b² = 15²

144 + b² = 225

√b² = √81

b = 9

Answer:

(-6127) + 0 = (-6127)

(+18) + 2 = (+20)

(+27) - 7 = (+20)

(+63) + (-13) = (+50)

(+21) - 4 = (+17)

Step-by-step explanation:

Area = pi x r^2

R = 7/2 = 3.5

Area = 3.14 x 3.5^2

Area = 38.5 m^2

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-intercept.

If we know that the line passes through two points, (x₁, y₁) and (x₂, y₂), then we can write the slope as:

a = (y₂ - y₁)/(x₂ - x₁).

Also, for a given line:

y = m*x + s

A perpendicular line to that one must have a slope:

a = -(1/m)

And the intersection between two perpendicular lines forms four 90° angles.

So first, we need to find the slope of the line that passes through A and B.

A = (-3, 3)

B = (-1, -1)

Then the slope of the line is:

a = (-1 - 3)/(-1 - (-3)) = -4/2 = -2

a = -2

The slope of a perpendicular line should be:

slope = -(1/a) = -(1/-2) = 1/2

Then the perpendicular line will be something like:

y = (1/2)*x + b

To find the value of b, we can use the other restriction.

This line needs to pass through point C.

And we can see that point C is:

C = (1, 2)

This means that when x is equal to 1, y must be equal to 2.

Then replacing these in the above equation we get:

2 = (1/2)*1 + b

2 = 1/2 + b

2 - 1/2 = 4/2 - 1/2 = 3/2 = b

Then our equation is:

y = (1/2)*x+ 3/2

The graph of this line can be seen in the image below, the green line is the line that we found.

If you want to read more about linear relations, you can see:

https://brainly.com/question/19586594

Answer:

Step-by-step explanation:

the answer is very simple if you don't understand ask to your teacher

Answer:

C

Step-by-step explanation:

First, let's say 4³ is a and 5⁻² is b. We know that (a/b)ⁿ = aⁿ/bⁿ for any n, so

(a/b)⁵ = a⁵/b⁵

=  (4³)⁵ /(5⁻²)⁵

Next, one power rule states that (4³)⁵ = 4 ⁽³ˣ⁵⁾ = 4¹⁵ and (5⁻²)⁵ = 5 ⁽⁻²ₓ⁵⁾=5⁻¹⁰, so

(4³)⁵ /(5⁻²)⁵ = 4¹⁵ / 5⁻¹⁰

Next, anything to a negative power (e.g. x⁻ⁿ) is equal to 1 over the absolute value of the power, so x⁻ⁿ = 1/xⁿ. Applying that here, we can say that

5⁻¹⁰ = 1/5¹⁰

4¹⁵ / 5⁻¹⁰ = 4¹⁵ / (1/5¹⁰) = (4¹⁵/1) / (1/5¹⁰) = 4¹⁵ * 5¹⁰

Step-by-step explanation:

kzj,un j, kxkzkxkxxiziixixixix

Answer:

b) is the correct option

Answer:

y = 2x - 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, - 10) and (x₂, y₂ ) = (5, 2)

m = [tex]\frac{2-(-10)}{5-(-1)}[/tex] = [tex]\frac{2+10}{5+1}[/tex] = [tex]\frac{12}{6}[/tex] = 2 , then

y = 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (5, 2 ) , then

2 = 10 + c ⇒ c = 2 - 10 = - 8

y = 2x - 8 ← equation of line

Answer:

305

Step-by-step explanation:

We are adding 3 each time

5+3 = 8

8+3 = 11

The formula for an arithmetic sequence is

an = a1+d(n-1) where a1 is the first term and d is the common difference

an = 5+3(n-1)

We want the 101 term

a101 = 5 +3(101-1)

      = 5+3(100)

    = 5+300

   = 305

Answer:

let the sides be 25x,12x and 5x ......then

25x+12x+5x=540

45x=540

x=25

sides are 25×12=300

12×12=144

5×12=60

we can find area by herons formula

Answer:

[tex] \frac{5(x + 6)}{5} = \frac{50}{5} \\ x + 6 = 10 \\ x = 10 - 6 \\ x = 4[/tex]

Answer:

x=4

Step-by-step explanation:

5(x+6)=50

First expand the brackets:

5 times x equals 5x

5 times 6 equals 30

Form an equation:

5x+30=50

Do inverse operations to "undo" the equation:

50-30=20

5x=20

20÷5=4 (We divide 20 by 5 because when a number is next to a letter, it means times so we do the inverse and divide).

x=4

We can check our answer by substituting in 4:

5(4+6)

Do brackets first:

4+6=10

5(10)

Then as the 5 is next to the bracket on the outside we times everything on the inside by 5:

5 times 10 equals 50

Hope this helps :)

Answer:

Think of y = mx + b,

With y = x + 3, m = 1 so the slope is one, and b = 3 which is the y-intercept, so plot the point (0,3) on the y-axis.

To find the next point to plot go up 1 and over to the right 1 because slope is rise over run.

With y = x, the slope is still 1, but there is no y-intercept, so you plot the point (0,0), and to find the next point on that line, go up 1 and over the right 1 because m=1

Answer:

Does the answer help you?

The standard form equation of the line connecting the two points is [tex]2x + y = -2[/tex]

Linear equation in a standard form is given as [tex]Ax + By = C[/tex]

where,

A, B, and C are constants or numbers

x and y are the variables.

To solve this problem, the following steps would be taken:

Step 1: Find the slope of the line connecting points (-3,4) and (2,-6)

[tex]slope (m) = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

where,

[tex](x_1, y_1) = (-3,4)\\(x_2, y_2) = (2,-6)[/tex]

Substitute

[tex]slope (m) = \frac{-6 - 4}{2 -(-3)} \\m = \frac{-10}{5}\\m = -2[/tex]

Step 2: Find the y-intercept (b) of the line by substituting [tex](x, y) = (-3,4)[/tex] and [tex]m = -2[/tex] into [tex]y = mx + b[/tex] (slope-intercept form)

[tex]4 = -2(-3) + b\\4 = 6 + b\\4 - 6 = 6 + b - 6\\-2 = b\\b = -2[/tex]

Step 3: Write the equation of the line in slope-intercept form by substituting [tex]m = -2[/tex] and [tex]b = -2[/tex] into [tex]y = mx + b[/tex]

[tex]y = -2x + (-2)\\y = -2x - 2[/tex]

Step 4: Rewrite the equation in standard form [tex](Ax + By = C)[/tex]

[tex]y = -2x - 2\\[/tex]

Add [tex]2x[/tex] to both sides

[tex]2x + y = -2x - 2 + 2x\\2x + y = -2[/tex]

The standard form equation of the points (-3,4) and (2,-6) is [tex]2x + y = -2[/tex]

Learn more about standard form of two points of a linear equation here:

https://brainly.com/question/18446164

Answer:

Step-by-step explanation:

v=√u*u- 2qs

Above given answer is correct.