Answer:
1 solution and that is that x = -1
Step-by-step explanation:
First, we need to find his unit rate, the amount he earns in 1 hour.
So, we have to divide 28.50 by 2.
That is:
28.50 / 2 = $14.25 per hour
To find the amount he earns in 8 hours, we will need to multiply hourly rate found by "8". So,
14.25 * 8 = $114
<h2>Rolando earns $114 in 8 hours</h2>
The measure of the third angle in the triangle is 104 degrees
<h3>How to determine the measure of the third angles?</h3>
Let the three angles in the triangle be x, y and z.
Such that:
x = 51
y = 25
The sum of angles in a triangle is 180 degrees.
So, we have:
x + y + z = 180
Substitute known values
51 + 25 + z = 180
Evaluate the sum
76 + z = 180
Subtract 76 from both sides
z = 104
Hence, the measure of the third angle is 104 degrees
Read more about triangles at:
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Answer:
The volume of the cone is 100.48 units³ approximately
Step-by-step explanation:
To find the volume of a cone with a diameter of 8 unit and height of 6 units, we will follow the steps below;
first, write down the formula for calculating the volume of a cone
v= πr²
where v is the volume of the cone
r is the radius and h is the height of the cone
from the question given, diameter d = 8 units but d=2r which implies r=d/2
r=8/2 = 4 units
Hence r= 4 units
height = 6 units
π is a constant and is ≈ 3.14
we can now proceed to insert the values into the formula
v= πr²
v ≈ 3.14 × 4² × 6/3
v ≈ 3.14 × 16 × 2
v ≈ 100 .48 units³
Therefore the volume of the cone is 100 .48 units³ approximately
Answer:
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<h2>Given expression:</h2>

<h2>Simplify it in steps:</h2>
<h3>Step 1</h3>
Bring both fractions into common denominator:

<h3>Step 2</h3>
Simplify:






<h3>Step 3</h3>
Compare the result with given expression to get: