Answer:
240m
Step-by-step explanation:
Volume is length x width x height
7.5m x 4m x 8m: 240m
The correct answer is option B which is the set of values that could be the side lengths of a 30-60-90 triangle are (6,6√3, 12).
<h3>What is the right-angled triangle?</h3>
A triangle has three angles of 30-60 and 90 degrees in which the two sides are perpendicular to each other.
The three sides of the triangle will be calculated by applying the Pythagorean theorem:-
The sum of the square sides will be equal to the square of the third side.
For sides (6,6√3, 12)
12² = 6² + (6√3)²
144 = 36 + (36 x 3)
144 = 36 + 108
144 = 144
Therefore the correct answer is option B which is the set of values that could be the side lengths of a 30-60-90 triangle (6,6√3, 12).
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Consider the angles are = 60,2x,3x
As we know the sum of the interior angle of a triangle is 180
60+2x+3x= 180
5x= 120
x= 24°
Angles are 2x= 2(24)= 48°
and 3x= 72°
<em>The measure of smaller angle is 48°</em>
Answer:Yolanda served 13 orders.
Ahmad served 19 orders.
Hong served 38 orders.
Step-by-step explanation:
Let x represent the number of orders that Ahmad served.
Yolanda served 6 fewer orders than Ahmad. This means that the number of orders that Yolanda served is x - 6
Hong served 2 times as
many orders as Ahmad. This means that the number of orders that Hong served is 2x
Yolanda, Hong, and Ahmad served a total of 70 orders Monday at the school cafeteria. This means that
x - 6 + x + 2x = 70
4x - 6 = 70
4x = 70 + 6 = 76
x = 76/4 = 19
Hong served 2 × 19 = 38
Yolanda served 19 - 6 = 13
