Answer:
down below.
Step-by-step explanation:
One–third of the product of −8 and 9 = -24
-8(9) = -72
-72 / 3 OR -72(1/3) = -24
Half the sum of 8 and −6 = 1
8 + (-6) =2
2 / 2 = 1
Three times the sum of 12 and −6 = 18
12 + (-6) = 6
6 * 3 = 18
One-fifth the product of 1 and −5 = -1
1(-5) = -5
-5/5 = -1
Five times the sum of −8 and 4 = -20
-8 + 4 = -4
-4 * 5 = -20
Answer:
The answer is 12.
Step-by-step explanation:
The question says QS is a tangent to circle P which means to QS is perpendicular 90° to QS. With provided information, we are able to find the value of QS using Pythogoras' Theorem, a²+b² = c² :
Let c = PR+RS = 5+8 = 13 units,
Let b = PQ = 5 units,
Let a = QS,
13² = 5² + QS²
QS² = 13² - 5²
= 169 - 25
= 144
QS = √144
= 12 units
Answer:
Step-by-step explanation:
Our inequality is |125-u| ≤ 30. Let's separate this into two. Assuming that (125-u) is positive, we have 125-u ≤ 30, and if we assume that it's negative, we'd have -(125-u)≤30, or u-125≤30.
Therefore, we now have two inequalities to solve for:
125-u ≤ 30
u-125≤30
For the first one, we can subtract 125 and add u to both sides, resulting in
0 ≤ u-95, or 95≤u. Therefore, that is our first inequality.
The second one can be figured out by adding 125 to both sides, so u ≤ 155.
Remember that we took these two inequalities from an absolute value -- as a result, they BOTH must be true in order for the original inequality to be true. Therefore,
u ≥ 95
and
u ≤ 155
combine to be
95 ≤ u ≤ 155, or the 4th option
7.50 dollars because per each mile its $2.50 . and $2.50 times 3 equals $7.50
The volume of the cuboid of the box is 180 inches³ while the volume of the cylinder is 235.5 inches³.
<h3>How to calculate the volume?</h3>
The volume of the cuboid will be:
= Length × Width × Height
= 12 × 2 × 7.5
= 180 inches³
The volume of the cylinder will be:
= πr²h
= 3.14 × 2.5² × 12
= 235.5 inches³
The surface area of the cuboid will be:
= 2(12 × 2) + 2(12 × 7.5) + 2(7.5 × 2)
= 48 + 180 + 30
= 258 inches²
The surface area of the cylinder will be:
= 2πrh + 2πr²
= (2 × 3.14 × 2.5 × 12) + (2 × 3.14 × 2.5²)
= 188.4 + 39.25
= 227.65 inches²
Learn more about volume on:
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