We can start this problem by finding out what the lowest consecutive number's value is (x). Since consecutive numbers are numbers that are 1 apart from each other, the sum of 9 consecutive numbers would look like
x + (x+1) + (x+2) + (x+3) + (x+4) + (x+5) + (x+6) + (x+7) + (x+8)
Since we know that they equal 153,
x + (x+1) + (x+2) + (x+3) + (x+4) + (x+5) + (x+6) + (x+7) + (x+8) = 153
Now we combine like terms
9x + 36 = 153
Simplify
9x = 117
x = 13
Now, we need to find what the 5th consecutive number is equal to. The fifth consecutive number is (x+4), so 13 + 4 is 17, meaning that the 5th of 9 consecutive numbers that add up to 153 is 17.
Answer:
2) 360 square inches
Step-by-step explanation:
First of all we have to verify that the base triangle is a right triangle
For this we use Pythagoras
h² = l1² + l2²
13² = 12² + 5²
169 = 144 + 25
169 = 169
Equality is fulfilled by what is a right triangle
Now we need to calculate the area of the triangle
a = (12 in * 5 in) / 2
a = 60in² / 2
a = 30in²
Now we have to calculate the 3 areas of the rectangles
a1 = 10in * 13 in
a1 = 130in²
a2 = 10 in * 12 in
a2 = 120in²
a3 = 10 in * 5 in
a3 = 50in²
Now we must add all the calculated areas and the triangle 2 times
a1 + a2 + a3 + 2a =
130in² + 120in² + 50in² + 2 * 30in²
360in²
The surface area of the prism is 360in²
Answer:
and 
Step-by-step explanation:
we have
we know that
Compound inequality can be divided into two inequalities
so
rewrite
and
therefore
An equivalent form of the compound inequality is
and
Answer: true
Step-by-step explanation:
