Answer:
The set of numbers that could not represent the three sides of a right triangle are;
{9, 24, 26}
Step-by-step explanation:
According to Pythagoras's theorem, when the lengths of the three sides of a right triangle includes two legs, 'x', and 'y', and the hypotenuse side 'r', we have;
r² = x² + y²
Where;
r > x, r > y
Therefore, analyzing the options using the relationship between the numbers forming the three sides of a right triangle, we have;
Set 1;
95² = 76² + 57², therefore, set 1 represents the three sides of a right triangle
Set 2;
82² = 80² + 18², therefore, set 2 represents the three sides of a right triangle
Set 3;
26² = 24² + 9², therefore, set 3 could not represent the three sides of a right triangle
Set 4;
39² = 36² + 15², therefore, set 4 represents the three sides of a right triangle
The area of a triangle is A=1/2b*h
You have the base (b) and you have the area (A)
So, if you plug in what you know, you get this:
45.5=1/2*10*h
Simplify it:
45.5=5h
Now solve for h
Divide by 5 to get h alone:
9.1=h
Your height is 9.1cm
Hope this helps :)
It is 28 i think been 3 year since i did this
Answer:
8 pizzas can serve 16 guests.
Step-by-step explanation:
So the caterer usually prepares 4 pizzas, but now she prepared twice as many, which means that now there are 4 • 2 = 8 pizzas.
Also, there is an estimation that each guest will eat 1/2 of a pizza.
In order to answer how many guests will 8 pizzas serve, we need to write an equation (pizzas per guest multiplied with number of guests equals the number of pizzas). Let's mark the unknown number of guests with x:
1/2 • x = 8
x = 8 / 1/2
x = 16
So, if each guest eats 1/2 of a pizza, then 8 pizzas will be enough to serve 16 guests.
