MATHEMATICS
COLLEGE

Answer: The length of a straight line ABC is 5m. If AB:BC = 2:5, find the length of AB.

HIGH SCHOOL

Given a building standing 400 feet tall, a tree 190 feet from the building, and another point 10 feet from the tree. Find the height of the tree.

For this case we can model the problem as two similar rectangle triangles.

We then have to simulate triangles:

Rewriting we have:

From here, we clear the value of x:

Answer:

the tree is 20 feet tall

We then have to simulate triangles:

Rewriting we have:

From here, we clear the value of x:

Answer:

the tree is 20 feet tall

MIDDLE SCHOOL

What are the solutions to the equation (x – 2)(x + 5) = 0?

Answer:

x = 2 or x = -5

Step-by-step explanation:

It s given that, (x – 2)(x + 5) = 0

To find the solution of given equation

Let (x – 2)(x + 5) = 0

From this we get

either (x – 2) = 0 or (x + 5) = 0

If (x - 2) = 0 then x = 2

If (x + 5) = 0 then x = -5

Therefore the solutions of given equation (x – 2)(x + 5) = 0 are,

x = 2 or x = -5

Answer: X = 2 or X = -5

Step-by-step explanation:

(X - 2) x ( X - 5) = 0

X - 2 = 0 or X - 5 = 0

Therefore X=2 or X=5

HIGH SCHOOL

What is the surface area of a rectangular prism with a length of 5 centimeters, a width of 3 centimeters, and a height of 12 centimeters? A) 180 cm2

B) 212 cm2

C)222 cm2

D) 360 cm2

I think it would be c)222 cm^2

HIGH SCHOOL

PLS HELPPP

Express the complex number in trigonometric form.

3 - 3i

Z = a + bi

z = 3 - 3i

|z| = √(a² + b²)

|3 - 3i| = √(3² + 3²)

|3 - 3i| = √(9 + 9)

|3 - 3i| = √(18)

|3 - 3i| = √(9 × 2)

|3 - 3i| = √(9)√(2)

|3 - 3i| = 3√(2)

tanΘ = b/a

tanΘ = ⁻³/₃

tanΘ = -1

Θ = arctan(-1)

Θ ≈ -0.8

z = 3√(2)(cos(-0.8) + i sin(-0.8))

z = 3 - 3i

|z| = √(a² + b²)

|3 - 3i| = √(3² + 3²)

|3 - 3i| = √(9 + 9)

|3 - 3i| = √(18)

|3 - 3i| = √(9 × 2)

|3 - 3i| = √(9)√(2)

|3 - 3i| = 3√(2)

tanΘ = b/a

tanΘ = ⁻³/₃

tanΘ = -1

Θ = arctan(-1)

Θ ≈ -0.8

z = 3√(2)(cos(-0.8) + i sin(-0.8))

HIGH SCHOOL

Explain how you can tell wether the graph of a quadratic function opens up or down

If the function is already in the form of y = ax²+bx+c, then all you have to do is look at "a". If it "a" is positive, then it will open up(look like a U) if "a" is negative, then it will open down(look like an upside down U)

HIGH SCHOOL

Multiply and simplify if possible.

√5x(√x - 5 √5)

The answer would be:

x√5 - 25√x

x√5 - 25√x

HIGH SCHOOL

Shelley bought 14 avocados for $17.92. Each avocado cost the same amount. How much money did Shelley spend for each avocado? A. $1.28 B. $2.51 C. $12.80 D. $250.88 I REALLY NEED HELP FOR THIS UIT ASSINGMINT

The answer is A, $1.28 You can find this by taking the total amount Shelley spent and dividing it by the total number of avocados she bought.

Hey You!

To solve this question, you simply need to divide:

17.92 ÷ 14 = 1.2

So, The Answer Is A. $128.

I Hope This Helped You! :)

To solve this question, you simply need to divide:

17.92 ÷ 14 = 1.2

So, The Answer Is A. $128.

I Hope This Helped You! :)

MIDDLE SCHOOL

What point shows the location of 5-2i on the complex plane below

Answer: its point c on edge

Step-by-step explanation:

I don't see below, but it's the point at (5,-2), five to the right, two down, in the fourth quadrant.

MIDDLE SCHOOL

What is the range of data?

A. 40

B. 42

C. 54

D. 96

Answer:hi friend

Step-by-step explanation:

Range of data is

B. 42