Answer:
54 students
Step-by-step explanation:
First, change the percent to a decimal.
12% = 0.12
Now, multiply the decimal by the total amount of students to find the amount of students that stay after school.
450 × 0.12 = 54
54 students stay after school for Comedy Club.
<span>-4x -2<8
Add 2 to both sides
-4x<10
Divide -4 on both sides
Final Answer: x > -10/4 or -2 1/2 *Both answers are equivalent to each other.
</span>
Solutions
To solve this problem we have to use the Pythagorean theorem. You can only use the Pythagorean theorem in Right Triangles. The longest side of the triangle is called the "hypotenuse". C² is the longest side so it is the hypotenuse . To calculate c² we have to do α² + β² = c².
Given
One leg of a right triangular piece of land has a length of 24 yards. They hypotenuse has a length of 74 yards. The other leg has a length of 10x yards.
First leg (24 yards) would be α
Second leg would be β
Hypotenuse (74 yards) would be c
Now we have points α β c.
a² (24) + β² ( x ) = c² (74)
Calculations
c² = α² + β²
74² = 24²+ β²
<span>5476 = 576 + </span>β²
5476 - 576 = β²
<span> </span>
<span>4900 = </span>β²
→√4900
<span> </span>
β<span> = 70 yards
</span>
<span>70 = 10x
</span>
<span>x = 70</span>÷<span>10 = 7 yards
</span>
The second leg = 7 yards
The arc length of the partial circle is 7.5π
<h3>Calculating arc length</h3>
From the question, we are to determine the arc length of the partial circle
The length of an arc can be calculated by using the formula
Where 
is the length of the arc
is the angle subtended
and r is the radius
From the diagram,
θ = 270°
r = 5
Putting the values into the equation, we get
OR 7.5π
Hence, the arc length of the partial circle is 7.5π
Learn more on Calculating arc length here: brainly.com/question/16552139
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Answer:
Here are the formulae you need. Just plug in the values you have and you will get your answers.
Area of a triangle: 1/2*base*height
Volume of a rectangular prism: length*width*height
Volume of a cylinder: pi*r^2*height
Step-by-step explanation:
