Find the exact value of tan 150° in simplest form with a rational
denominator.

Answer:

Yes

Step-by-step explanation:

Answer: k=9

Step-by-step explanation:

Answer:

[tex]x {}^{2} - 8x + 5 \\ = x {}^{2} - 8 x+ 5 + 11 - 11 \\ = x {}^{2} - 8x +16 - 11 \\ = (x - 4) {}^{2} - 11 \\ [/tex]

A is 4 and b is 11

Answer:

I think it is C that would be the best answer

Answer:

The distance from the flagpole to the tree is 27 ft

Step-by-step explanation:

Similar Triangles

Since the elevation angle from which the trees cast their shadows has the same measure and given the tree and the flagpole and the ground form right angles, both triangles are similar.

Similar triangles have their corresponding side lengths proportional. The ratio between the distances from the bench to the tree and flagpole and their heights is constant, i.e.:

[tex]\displaystyle \frac{16}{18}=\frac{40}{x}[/tex]

Where x is the distance from the bench to the tree.

Solving for x:

[tex]\displaystyle x=40\cdot \frac{18}{16}[/tex]

x = 45 feet

Thus the distance from the flagpole to the tree is 45 - 18 = 27 feet

Answer:

x = -4

Step-by-step explanation:

Answer:

The answer is Battle of Midway

Step-by-step explanation:

Answer:

30 feet is represented by 3 3/4 inches on the drawing

Step-by-step explanation:

We have the relation as;

1 inch = 8 feet

Thus;

3 3/4 inches = x feet

x = 3 3/4 * 8

x = 15/4 * 8

x = 30 feet

Answer:

The perimeter is 28.13 cm

Step-by-step explanation:

We connect a line from A to C

we can use the cosine rule to find the length AC

let us call it x

AC^2 = AB^2 + BC^2 - 2(AB)(BC) cos B

we have this as;

x^2 = 6^2 + 8^2 - 2(6)(8) cos 95

x^2 = 36 + 64 + 8.37

x^2 = 108.37

x = √108.37

x = 10.4 cm

AC = 10.4 cm

now, let us look at triangle ADC Where we have AC as the hypotenuse as it is the side facing the right angle

We can use Pythagoras’ theorem to get the value of CD

We have it that the square of the hypotenuse AC is the sum of the squares of the two other sides

let DC be y

10.4^2 = 5^2 + y^2

y^2 = 108.37 - 25

y^2 = 83.37

y = √83.37

y = 9.13 cm

The perimeter of the shape is the sum of all its sides

so we have;

AB + BC + CD + AD

= 6 + 8 + 9.13 + 5

= 28.13 cm

Answer:

[tex]4y + 3y[/tex]

[tex]4y + 3y \\ = 7y[/tex]

Answer:

a)

i) we have the equation:

3*x - 2*y

We want to find a common multiple of 3 and 2.

One can be:

3*6 = 18

2*9 = 18

And both numbers 6 and 9 are on the list, then if we take:

x = 6, y = 9

we get:

3*6 - 2*9 = 18 - 18 = 0

The solution is x = 6, y = 9.

ii) The greatest possible value of:

3*x - 2*y

Will be when x is the largest value of the list (because it is on the positive term) and y is the smallest value on the list (because it is on the negative term)

then we need to have x = 10, y = 5

The value will be:

3*10 - 2*5 = 30 - 10 = 20

iii) Now we want to have the smallest value on x, and the largest one on y, then:

x = 5, y = 10

The smallest value of the equation will be:

3*5 - 2*10 = 15 - 20 = -5

B) We want to solve:

5*(a - 4*b)

when:

a = -7

b = 1/4

This is kinda easy, we just need to replace the variables in the equation to get:

5*(a - 4*b) = 5*(-7 - 4*(1/4)) = 5*(-7 - 4/4) = 5*-8 = -40

Answer: The 12 pens for $7.20 is the better buy

Step-by-step explanation: each pen is 60 cents. While 4 pens for $2.60 would be 65 cents.

Answer:

They are like terms

Step-by-step explanation:

Answer:They are like terms!

Step-by-step explanation:

Answer:

A.s<30

Step-by-step explanation:

We are given that

Number of students who ride in a bus=s

We have to find the inequality which represents the given situation.

According to question

s<30

A.s<30

It is true.

B.s>30

It is false because s is less than 30

C.[tex]s\geq 30[/tex]

It is false because s<30

D.[tex]s\leq 30[/tex]

It is false because s<30

Option A is true.

Answer:

27

Step-by-step explanation:

Answer:

14.15 is the answer..comment it if that subtraction or multiple division

Answer:   3x + 5 = 6.50  is the equation where x represents the cost per apple and the cost per apple is 50 cents.

Step-by-step explanation:

In this situation we will represent the cost per apple by the variable x.

If she bought 3 apples, then 3 has to be multiply by x to find the cost so we will have the expression 3x

The rice cost $5  and she spend a total of 6.50  so  3x has to be add to 5 and it has to equal 6.50.

3x + 5 = 6.50  You can now solve for x in the equation to find the cost per apple

3x + 5 = 6.50

     -5       -5

 3x = 1.5

x= 0.5  

This means  the cost of an apple is 50 cents.

Answer:

its c

Step-by-step explanation:

Answer:

33.49

Step-by-step explanation:

just did that

Answer:

B

Step-by-step explanation:

Answer:

2.75

Step-by-step explanation:

let x be the number.

0.75 + 2 = x

2.75 = x

Answer:

2.75

Step-by-step explanation:

0.75 +2.00

0.75 + 1.00 = 1.75

0.75 + 2.00 = 2.75

Step-by-step explanation:

Volume = width × length × height

= (5×8×22) + (5×12×8)

= ....... m³

Answer:

she should place 76 tiles along 1 side of the square

Step-by-step explanation:

300 = 4n - 4

answer will leave u with n=76

Answer:

x> or equal to 35. 36 is a solution.

Step-by-step explanation:

Answer:

B. 31.62

Step-by-step explanation:

First, find the distance of the line using the distance formula, [tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1} )^2 }[/tex]. Plug the two points (-1,0) and (5,2) into the formula and solve. This gives you 6.32, then this is only one line of a pentagon, which has 5 sides, so you need to multiply. Since you are finding the perimeter, which is all of the sides added together, multiply the one side by 5. 6.32*5=31.62.

Answer:

I think it's B for x is less than and equal too 1

Step-by-step explanation:

It's probly you should use the line where the shading is going.

The value of y when -2(-30) - 3y = 42 is that y will be 6 so therefor the answer is y = 6