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3 years ago

The area of a rectangular lot that is 50 feet wide by 100 feet deep is:

Mathematics

1 answer:

ziro4ka [17]3 years ago

8 0

The area of a rectangle can be directly calculated using the formula:

A = l * w

Where l is the length or the depth while w is the width

Therefore,

A = 50 feet * 100 feet

<span>A = 5000 square feet</span>

You might be interested in

Find all the zeros of the polynomial function p(x) = x3 – 5x2 + 33x – 29

hram777 [196]

Answer:

$\large \boxed{\sf \ \ x=1, \ \ x=2+5i, \ \ x=2-5i \ \ }$

Step-by-step explanation:

Hello,

I assume that we are working in $\mathbb{C}$ , otherwise there is only one zero which is 1. Please consider the following.

First of all, <u>we can notice that 1 is a trivial solution</u> as

$p(1) = 1^3-5\cdot 1^2 + 33\cdot 1-29=1-5+33-29=0$

It means that (x-1) is a factor of p(x) so we can find two real numbers, a and b, so that we can write the following.

$p(x)=(x-1)(x^2+ax+b)=x^3+ax^2+bx-x^2-ax-b=x^3+(a-1)x^2+(b-a)x-b$

Let's identify like terms as below.

a-1 = -5 <=> a = -5 + 1 = -4

b-a = 33

-b = -29 <=> b = 29

$\boxed{ \ p(x)=(x-1)(x^2-4x+29) \ }$

Now, we need to find the zeroes of the second factor, meaning finding x so that:

$x^2-4x+29=0 \ \text{ complete the square, 29 = 25 + 4} \\ \\ x^2-2\cdot 2 \cdot x+2^2+25=0 \\ \\ (x-2)^2=-25=(5i)^2 \ \text{ take the root } \\ \\x-2=\pm 5i \ \text{ add 2 } \\ \\ x = 2+5i \ \text{ or } \ x = 2-5i$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

5 0

3 years ago

Please help. I need a step by step explanation. Extra points will be given as well as brainiest!!!

Shalnov [3]

Answer:

V =113.04

Step-by-step explanation:

A sphere has a surface area of 113.04

SA = 4 pi r^2

113.04 = 4 pi r^2

Let pi 3.14

113.04 = 4 *(3.14) r^2

113.04 = 12.56 r^2

Divide each side by 12.56

113.04/12.56 = r^2

9 = r^2

Take the square root of each side

3 =r

We want to find the volume

V = 4/3 pi r^3

V = 4/3 (3.14) 3^3

V =113.04

3 0

3 years ago

Solve by elimination 3×+11y=4,-2×-6y=0

gizmo_the_mogwai [7]

3x + 11y = 4

2x + 6y = 0

I got
15/2, -5/4

6 0

3 years ago

When looking at the graph of a 5th degree function, how can you determine if all of the zeros of the function are real?

Finger [1]

Answer:

If it cuts x-axis 5 times.

Step-by-step explanation:

When we look at the graph of a function we can see its real roots by looking at its graph

The intersecting points that is the number of times a line cutting x-axis will be the real root of the function

So, by looking at the 5th degree function the number of time that function cuts x-axis will be the number of real roots.

So, if we need to say all the zeroes or roots of the function are real means it will cut the x-axis 5 times.

Because a function will have the root equal to its degree.

4 0

3 years ago

Segments CD, AE, and BF are medians of triangle ABC.

EleoNora [17]

Option C: x = 5.5 is the value of x

Explanation:

Given that CD, AE, an BF are the medians of the triangle ABC

Also, given that $AM = 4x - 5$ and $ME=x+3$

We need to determine the value of x.

Since, we know that the centroid divides the median in the ratio 2 : 1

Hence, we have,

$AM=2\times ME$

Substituting the values, we get,

$4x-5=2(x+3)$

Simplifying, we get,

$4x-5=2x+6$

Subtracting both sides of the equation by 2x, we have,

$2x-5=6$

Adding both sides of the equation by 5, we have,

$2x=11$

Dividing both sides of the equation by 2, we get,

$x=5.5$

Therefore, the value of x is 5.5

Hence, Option C is the correct answer.

7 0

3 years ago