Since this is a right triangle, we can use the Pythagorean Theorem, which states a² + b² = c² in a right triangle.
Plugging our numbers in, we get:
(12)² + (35)² = c²
From there, we can square the numbers.
(144) + (1225) = c²
Then, we can add them together to find the sum;
(1369) = c²
And finally, we can find the square root of both sides.
(37) = c
Therefore, 37 is the answer and your answer choice is correct.
Solving by substitution:
y = 4x - 3
2x + 7y = 41
Let us substitute the first equation y = 4x - 3 into the second.
2x + 7y = 41
2x + 7(y = 4x -3) = 41
2x + 7(4x -3) = 41
So that's the third option.
I hope this helps.
Answer:3/8
Step-by-step explanation:
The simplest form of
15
/40 is 3
/8
.
Steps to simplifying fractions
Find the GCD (or HCF) of numerator and denominator
GCD of 15 and 40 is 5
Divide both the numerator and denominator by the GCD
15 ÷ 5
40 ÷ 5
Reduced fraction:
3
/8
Therefore, 15/40 simplified to lowest terms is 3/8.
¾ an hour is 45 minutes
So to have your answers you need to do a cross product :
45 minutes —> 2/3 of a chapter
60 minutes —> X of a chapter
((2/3) • 60) / 45
40/45 = 8/9
Answer : You read 8/9 of a chaper per hour! :)