Answer:
18
Step-by-step explanation:
Hello!
In the Pythagorean theorem, the summation of the square of the legs in a right triangle is equal to the square of the hypotenuse.
Let a and b be the legs, and c is the hypotenuse.
a² + b² = c²
In this equation, the hypotenuse is 30, and the measure of one leg is 24.
We can solve this by plugging in the values.
- a² + b² = c²
- 24² + b² = 30²
- 576 + b² = 900
- 324 = b²
- b = 18
So the missing side length is 18.
If in 2 hours he read 200 pgs then in 1 hour will be 50 pgs
Answer:
THE CHINESE PEOPLE DIDNT EAT A BAT!
Step-by-step explanation:
THE VIRUS CAME ORIGINALLY FROM A LAB IN CHINA! THEY MADE IT AND DIDNT TELL THE USA ABOUT IT. WHEN CHINESE PEOPLE WERE TRAVELING TO THE USA IT SPREADED! WATCH THE NEWS AND GET YOUR FACTS STRAIGHTEN!
Answer:
$121.5
Step-by-step explanation:
$180 × 0.25 = $45 <-- because it is a discount, we will subtract
$180 - $45 = $135 <-- price with 25% discount
$135 × 0.10 = $13.5
$135 − $13.5 = $121.5
282.5 of 10 tickets were sold in the rock concert by the promoter
<h3>How to determine the number of 10 tickets?</h3>
To do this, we make use of the following representations:
- x represents the 10 tickets
- y represents the 15 tickets
- z represents the 20 tickets
The 475 tickets that were sold means that:
x + y + z = 475
The income means that:
10x + 15y + 20z = 6300
Also, we have:
10y = 4z
Divide both sides by 10
y = 0.4z
Substitute y = 0.4z in 10x + 15y + 20z = 6300
10x + 15*0.4z + 20z = 6300
10x + 6z + 20z = 6300
Evaluate the like terms
10x + 26z = 6300
Substitute y = 0.4z in x + y + z = 475
x + 0.4z + z = 475
Evaluate the like terms
x + 1.4z = 475
Make x the subject
x = 475 - 1.4z
Substitute x = 475 - 1.4z in 10x + 26z = 6300
10(475 - 1.4z) + 26z = 6300
Expand
4750 - 14z + 26z = 6400
Evaluate the like terms
12z = 1650
Divide both sides by 12
z = 137.5
Substitute z = 137.5 in x = 475 - 1.4z
x = 475 - 1.4 * 137.5
Evaluate
x = 282.5
Hence, 282.5 of 10 tickets were sold
Read more about system of equations at:
brainly.com/question/14323743
#SPJ1
