MATHEMATICS
HIGH SCHOOL

Answer:

$ 7, 049 is the increase

increase = 13.3 % × $ 53, 000 = 0.133 × $ 53, 000 = $ 7, 049

HIGH SCHOOL

The length of a swimming pool is 3 feet longer than it's width. The swimming pool is surrounded by a deck that is 2 feet wide and has an area of 116 square feet. Find the dimensions of the pool

Answer:

The Dimension of the pool is approximately 5.37 feet and 8.37 feet.

Step-by-step explanation:

Given:

Area of Swimming Pool = 116 sq. ft

The length of a swimming pool is 3 feet longer than it's width.

Let the width of swimming pool be 'x' feet.

∴Length = feet

Also given :

The swimming pool is surrounded by a deck that is 2 feet wide.

Hence we can say the deck is surrounded 2 feet on all 4 sides.

hence;

Length of swimming pool will become =

Width of swimming pool will become =

Since Swimming pool is in rectangular shape.

Now we know that area of Swimming pool is equal to length multiplied by width.

Framing in equation form we get;

Substituting the given values we get;

Solving the equation we get;

Now solving this equation by using quadratic formula we get;

According to the Quadratic Formula, x , the solution for , where a, b and c are numbers, often called coefficients, is given by :

in our case a = 1 , b = 11 and c = -88

, rounded to 4 decimal digits, is 21.7486.

Two real solutions:

OR

Since width of the swimming pool cannot be negative value

hence we will consider

Rounding to nearest hundred we get;

Width of Swimming pool = 5.37 feet

Length of Swimming pool = 3+5.37 =8.37 feet

Hence The Dimension of the pool is approximately 5.37 feet and 8.37 feet.

MIDDLE SCHOOL

What is 62.8343 to 3 decimal places kindly assist with steps

Answer:

62.834.

Step-by-step explanation:

Checking the 4th decimal place we see that it is 3 so the third decimal place remains at 4.

If the 4th place was 5 or greater we would add 1 to the third place.

HIGH SCHOOL

I running track is 400 meters. if i make 4 laps, what is the distance that i traveled?

You would have ran 1,200 meters

COLLEGE

Describe the triangle inequality Theorem in your own words. explain please! Ill mark u as brainliest the 1st person who answers

we know that

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

Let

a,b and c---------> the length sides of the triangle

The Theorem states that that in any triangle three conditions must be satisfied

Condition N 1

c" alt="a+b > c" align="absmiddle" class="latex-formula">

Condition N 2

a" alt="b+c > a" align="absmiddle" class="latex-formula">

Condition N 3

b" alt="a+c > b" align="absmiddle" class="latex-formula">

MIDDLE SCHOOL

What is 1 1/2 divided by 3/4

Answer: 2

Step-by-step explanation:

1 1/2 divided 3/4

First make all a fraction

3/2 divided 3/4

3/2*4/3 inverted

2

The answer to this one would be 2.

HIGH SCHOOL

Alex drew a scale drawing of an auditorium. He used the scale 3 inches = 2 feet. If the stage is 30 inches in the drawing, how wide is the actual stage? Enter your answer with units.

Answer:

20 feet

Step-by-step explanation:

The scale is 3 inches is to 2 feet

As a ratio, it would be:

The question is what is the actual length of the stage if the drawing is 30 inches. All we need to do is find a ratio proportional to the scale ratio:

Now to find the missing number, cross multiply the fractions first:

Then solve for x:

The answer is 20 feet

HIGH SCHOOL

Simplify (3 − 2i)2 − 3(i − 2) + 5

(3 - 2i)^2 - 3(i - 2) + 5

(3 - 2i)(3 - 2i) - 3(i - 2) + 5

First multiply the binomials, then distribute the -3, then combine like terms.

9 - 6i - 6i + 4i^2 -3i + 6 + 5

i^2 = -1, so the 4i^2 becomes -4

9 - 12i - 4 - 3i + 11

16 - 15i

(3 - 2i)(3 - 2i) - 3(i - 2) + 5

First multiply the binomials, then distribute the -3, then combine like terms.

9 - 6i - 6i + 4i^2 -3i + 6 + 5

i^2 = -1, so the 4i^2 becomes -4

9 - 12i - 4 - 3i + 11

16 - 15i

MIDDLE SCHOOL

True or False? The point-slope form of a line is y + y1 = m(x + x1), where m is the slope and (x1, y1) is a point on the line. It's false right?

Answer:

False

The correct point slope form passing through points (x1,y1) is .

Step-by-step explanation:

The formula for the point slope form passing through the point (a,b) is given by.

Where m is the slope .

As given in the question.

m is the slope and (x1, y1) is a point on the line.

Thus the point slope form becomes

Therefore the correct point slope form passing through points (x1,y1) is .

False.

Point-slope form is: y-y1=m(x-x1)

They used sums instead of differences...

Point-slope form is: y-y1=m(x-x1)

They used sums instead of differences...

COLLEGE

Verify that the divergence theorem is true for the vector field f on the region e. give the flux. f(x, y, z) = 3xi + xyj + 4xzk, e is the cube bounded by the planes x = 0, x = 3, y = 0, y = 3, z = 0, and z = 3.