The lengths of the other two sides of the right triangle are 12 and 13
<h3>Pythagorean theorem </h3>
From the question, we are to determine the lengths of the other sides of the triangle
From the given information,
The other sides have lengths that are consecutive integers
Thus,
If the length of the other side is x
Then,
The hypotenuse will be x + 1
By the <em>Pythagorean theorem</em>, we can write that
(x+1)² = x² + 5²
(x+1)(x+1) = x² + 25
x² + x + x + 1 = x² + 25
x² - x² + x + x = 25 - 1
2x = 24
x = 24/2
x = 12
∴ The other leg of the right triangle is 12
Hypotenuse = x + 1 = 12 + 1 = 13
Hence, the lengths of the other two sides are 12 and 13
Learn more on Pythagorean theorem here: brainly.com/question/4584452
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The conclusion of the remainder theorem about a situation where a function; f(x) is divided by (x+3) and has a remainder of 11 is that; f(-3) = 11.
<h3>What does the remainder theorem conclude given that f(x)/x+3 has a remainder of 11?</h3>
It follows from the task content that f(x)/x+3 has a remainder of 11.
On this note, it follows from the remainder theorem regarding the division of polynomials that; when; x + 3= 0; x = -3 and hence;
f(-3) = 11.
Ultimately, the inference that can be drawn from the remainder theorem statement as in the task content is; f(-3) = 11.
Read more on remainder theorem;
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Hi I’m just a little bit ago and I’m going to be a little bit
Given that the total number of students that sent messages = 150 students
a) To obtain the equation to represent the number of students who send text messages, we will sum up the variables in the Venn diagram and equate it to 150.
Hence, the equation is
b) Solving for x
Therefore, x = 15.
c) The total number of student that uses cell phone = 75 + x = 75 + 15= 90students
The total number of students that sent messages = 150students
The formula for probability is,
Hence,
Therefore, the probability that a randomly chosen student uses their cell phone to send text messages is 3/5.
Answer:
A
Step-by-step explanation:
I remember it by:
acute: a cute little angle that is smaller than 90 degrees
