The length from one corner to the opposite corner is 26 feet
The screen is the shape of a rectangle.
The length from one corner to the opposite corner is known as the diagonal or hypotenuse. The diagonal separates the rectangle into 2 right-angled triangles
. The diagonal's value can be determined using Pythagoras theorem
The Pythagoras theorem: a² + b² = c²
where a = length
b = width
c = diagonal
10² + 24²
100 + 576
= 676
determine the value of the square root
√576 = 26 feet
To learn more about Pythagoras theorem, please check: brainly.com/question/20936855?referrer=searchResults
A. 4.25 hrs.....4 25/100 reduces to 4 1/4.......1/4(60) = 60/4 = 15 minutes
so 4.25 hrs = 4 hrs and 15 minutes
b. 8.5 hrs.....8 5/10 reduces to 8 1/2.....1/2(60) = 60/2 = 30 minutes
so 8.5 hrs = 8 hrs and 30 minutes
c. 6.2 hrs.....6 2/10 reduces to 6 1/5.....1/5(60) = 60/5 = 12 minutes
so 6.2 hrs = 6 hrs and 12 minutes
d. 10.8 hrs.....10 8/10 reduces to 10 4/5.....4/5(60) = 240/5 = 48 minutes
so 10.8 hrs = 10 hrs and 48 minutes
Answer:
150 pi inches or 471.239 inches traveled
Step-by-step explanation:
First, close your eyes, and think about the distance a bike travels after one rotation of the wheel.
You will come to the realization that a full rotation of the wheel makes you travel the circumference of the wheel
The formula for circumference is 2(pi)(r) or (pi)(diameter)
We are given diameter, so let's find distance traveled for one rotation
pi(15 inches) = 15pi inches per rotation.
There are 10 rotations, so:
(15pi inches/rotation)(10 rotations) = 150pi inches travelled
150 x pi = 471.239 inches traveled
Answer:
(4,3,2)
Step-by-step explanation:
We can solve this via matrices, so the equations given can be written in matrix form as:
Now I will shift rows to make my pivot point (top left) a 1 and so:
Next I will come up with algorithms that can cancel out numbers where R1 means row 1, R2 means row 2 and R3 means row three therefore,
-2R1+R2=R2 , -3R1+R3=R3
4R2+R1=R1 , -14R2+R3=R3
,
Therefore the solution to the system of equations are (x,y,z) = (4,3,2)
Note: If answer choices are given, plug them in and see if you get what is "equal to". Meaning plug in 4 for x, 3 for y and 2 for z in the first equation and you should get 20, second equation -10 and third 15.
Answer:
x = ±i(√6 / 2)
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
<u>Algebra II</u>
Imaginary root i
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
2x² + 3 = 0
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Subtraction Property of Equality] Subtract 3 on both sides: 2x² = -3
- [Division Property of Equality] Divide 2 on both sides: x² = -3/2
- [Equality Property] Square root both sides: x = ±√(-3/2)
- Simplify: x = ±i(√6 / 2)