I would recommend starting by turning 172 into 100+70+2. This makes it much easier to multiply it by 6.
(100+70+2) × 6 =
distributive property
(100×6) + (70×6) + (2×6) =
Simplify
600 + 420 + 12 =
Add it all together
1032
The answer would be 1032.
Answer:
The lateral area of this square pyramid is 100 in^2
Step-by-step explanation:
The lateral area of a polyhedron is the added area of all lateral faces (faces on the side) excluding the bases.
In this case, the lateral sides of the square pyramid are the 4 triangular faces on the sides.
AREA OF ONE TRIANGULAR FACE (given by the formula 1/2 x bh):
1/2 x 10 x 5 = 25
Multiply that by 4 since all 4 triangular faces are similar:
25 x 4 = 100
So the lateral area of the square pyramid is 100 in^2.
Please rate my answer once you know its score! :DD
Answer:
-7, -6, -5, -4, -3
Step-by-step explanation:
Given:
2x + 5 < 0
x > -8
Thus, we can combine both statements to find out integers that satisfy both inequalities.
2x + 5 < 0
Let's find x
2x < 0 - 5 (substraction property)
2x < -5
Divide both sides by 2
x < -5/2
This implies that -5/2 is greater than the set of values of x.
The second inequality, x > -8 implies that -8 is less than the value of x.
Les combine both:
-8 < x < -5/2
Therefore, the possible set of integers are whole numbers between the range of -8 and -5/2 which excludes -8 and -5/2.
Thus, they are:
-7, -6, -5, -4, -3
