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3 years ago

Divide a given line segment into four congruent parts. Bisect once and then bisect again the obtained half segments.

Mathematics

2 answers:

Bingel [31]3 years ago

7 0

Answer and Step-by-step explanation:

"Bisect" essentially means to cut in half. Here, since we are bisecting three times, we will have 4 equal pieces.

See the attachment. The red "x" just denote the fact that all 4 segments are the same length x.

Hope this helps!

Likurg_2 [28]3 years ago

6 0

Bisect means to divide into 2 parts. The question is asking us to bisect each half line segment till we get 4 congruent parts.

Basically, we are going to have a straight line with 4 parts that are all the same length.

The picture below will show what this should look like.

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Write an equation of the line in slope-intercept form given the slope is -5 and the y-intercept is 7

elena-14-01-66 [18.8K]

Answer: Y= -5x + 7

Step-by-step explanation:

Y=Mx+b is slope intercept form therefore

The M is replaced with the slope and the b is the y- intercept hope this helps

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3 years ago

Read 2 more answers

The square of the sum of two numbers is 144 and the sum of of their square is 180, find the number... Please I really need the a

mr Goodwill [35]

Answer:

The numbers are either ±13.35 and ±1.35 or ±1.35 and ±13.3

Step-by-step explanation:

Let the two numbers be 'x' and 'y'.

Given:

The squares of the sum of two numbers = 144

The sum of their squares = 180

The sum of the numbers = $x+y$

The square of the sum of numbers = $(x+y)^2$

Square of first number = $x^2$

Square of second number = $y^2$

The sum of their squares = $x^2+y^2$

Now, as per question:

$(x+y)^2=144---(1)\\\\x^2+y^2=180---(2)$

Expanding equation (1) using the formula $(a+b)^2=a^2+b^2+2ab$

This gives,

$(x+y)^2=144\\\\x^2+y^2+2xy=144\\\\\textrm{Plug in the value of }x^2+y^2\textrm{ from equation (2)}\\\\180+2xy=144\\\\2xy=144-180\\\\2xy=-36\\\\xy=-\frac{36}{2}\\\\xy=-18\\\\y=-\frac{18}{x}---(3)$

Plug in the value of 'y' from equation (3) in equation (1). This gives,

$x^2+(-\frac{18}{x})^2=180\\\\x^2+\frac{324}{x^2}=180\\\\x^4+324=180x^2\\\\x^4-180x^2+324=0\\\\\textrm{On solving, we get:}\\\\x^2=178.2\ or\ x^2=1.8\\\\\textrm{Square root both sides, we get:}\\\\x=\pm13.35\ or\ x=\pm1.35$

Therefore,

$y=-\frac{18}{x}=-\frac{18}{\pm13.35} = \pm1.35\ or\\\\y=-\frac{18}{x}=-\frac{18}{\pm1.35}=\pm13.3$

Therefore, the numbers are either ±13.35 and ±1.35 or ±1.35 and ±13.3

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3 years ago

Find the minimum value of n that guarantees an error of no more than 1/30,000 in approximating integral 1/x dx from 3 to 4 by th

sveta [45]

To find the minimum value of n that guarantees an error of no more than 1/30000 in approximating integral 1/x dx from 3 to 4 by the trapezoidal rule with n so the answer to your question is N=71 and i hope you understand my answer.

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4 years ago

What is the volume of the cone below?

erik [133]

Answer:

B. 3408π units³

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Geometry

Volume of a Cone Formula: $\displaystyle V = \frac{1}{3} \pi r^2h$

r is radius
h is height

Step-by-step explanation:

Step 1: Define

Radius r = 12

Height h = 71

Step 2: Find Volume

Substitute in variables [Volume of a Cone Formula]: $\displaystyle V = \frac{1}{3} \pi (12)^2(71)$
Evaluate exponents: $\displaystyle V = \frac{1}{3} \pi (144)(71)$
Multiply: $\displaystyle V = \frac{1}{3} \pi (10224)$
Multiply: $\displaystyle V = 3408 \pi$