Answer:
Infinitely many triangles.
Step-by-step explanation:
Given the lengths of two sides are 8 inches and 10 inches.
Let's assume third side = x inches.
Using the Triangle Inequalities given as follows:-
1. a+b > c,
2. b+c > a,
3. c+a > b.
Using the lengths given in the problem, we can write:-
1. x+8 > 10 ⇔ x > 10-8 ⇔ x > 2.
2. x+10 > 8 ⇔ x > 8-10 ⇔ x > -2.
3. 8+10 > x ⇔ x < 18.
So, the solution set is 2 < x < 18. It means third side can take any value in interval (2, 18).
Hence, there are infinitely many triangles.
Step-by-step explanation:
Total Surface area of a pyramid is given as
= Lateral surface area + area of base.
Lateral surface area = 1/2×perimeter of base×slant height
given the base is square with side 9 in , and slant height of 12 inches.
therefore, LSA = 1/2(9*4)×12 = 216 in^2
Now, TSA = LSA + Base area = 216+9^2 = 297 in^2
a) It is given that the pyramid is smaller therefore, it will require lesser paint than the original pyramid ( The TSA of the smaller pyramid cannot be calculated as its dimentions are not given).
b) It can not be solved as dimensions are missing in the question.
However, the logic has been explained in the soluion one easily put values to find the solution.
Answer:
i think it would be choice D
Step-by-step explanation:
this would be because the 20 is 19.8 tons rounded up, the (1.1) is the increase of the original amount plus the 9.8 rounded up, and the (1.05) is the increase by 5.1. the reason why they multiply these like 20(1.1)(1.05) is because each number in the parenthesis is the increase, when you multiply something by 1.1 it will give you it's 100% + the 10% growth, same goes for the 1.05 which will give you the 100% + the 5% of 20(1.1)
in other words if you just multiplied by .1 you would only get 10% of what you're seeking while if you multiply by 1.1 you would get the 110%. the 1 is 100%, and the extra percentage you seek is the decimal (number behind the dot) that follows
Answer:
Step-by-step explanation:
11=4(8)+b
11=32+b
-21=b
y=4x-21
i think
