The surface area of the solid shape is the amount of space on it
The radius of the two cones is 2.93 cm
<h3>How to determine the radius?</h3>
The given parameters are:
- Cone 1: slant height, l = 2r
- Cone 2: slant height, L = 3r
- Surface area = 135. 21 cm²
The surface area of the shape is calculated using:
T = πr(L + l)
So, we have:
135.21 = πr(2r + 3r)
Evaluate
135.21 = 5πr²
Divide both sides by 5π
r² = 135.21/5π
Evaluate the quotient
r² = 8.61
Take the square root of both sides
r = 2.93
Hence, the radius of the cones is 2.93 cm
Read more about surface area at:
brainly.com/question/6613758
Answer:
<em>The age at which both companies charge the same premium is 44 years</em>
Step-by-step explanation:
<u>Graph Solution to System of Equations</u>
One approach to solving systems of equations of two variables is the graph method.
Both equations are plotted in the same grid and we find the intersection point(s) of both graphs. Those are the feasible solutions.
The annual premium p as a function of the client's age a for two companies are given as:
Company A: p= 2a+24
Company B: p= 2.25a+13
The graphs of both functions are shown in the image below.
The red line indicates the formula for Company A and the blue line indicates the formula for Company B.
It can be seen that both lines intersect in the point with approximate coordinates of (44,112).
The age at which both companies charge the same premium is 44 years
Step 1: Y= 27 - 4x
To find X - intercept / zero, substitute Y = 0
0 = 27 - 4x
Step 2: 0 = 27 - 4x
Move variable to the left-hand side and change it's sign.
4x = 27
Step 3: 4x = 27
divide both sides of the equation by 4
X = 27/4
solution: X = 27/4
Alternate form: X = 6 3/4, X = 6.75
There is to say, for each first roll, we start out with six possibilities; for each of these, there are six possibilities for the second roll; finally, for each second roll, there are six possibilities for the third. So, 6 cubed. So, 216 is our denominator, i.e., the number of all possible outcomes.
Answer: 216
Answer:
250 coches
Step-by-step explanation:
Tenemos la siguiente información de la pregunta;
Proporción de empleados que vienen a trabajar con sus coches = 5/16
Número total de empleados = 800
Por lo tanto, número total de automóviles esperado = proporción de empleados que vienen a trabajar con automóviles * número total de empleados
número total de coches esperados = 5/16 * 800
número total de coches esperados = 250 coches
