Answer:
252
Step-by-step explanation:
To answer the equation, you first need to note that it asks for surface area.
To find surface area, you use an input formula, known as <em>SA=2lw+2lh+2hw</em>. 'H' stands for height, 'L' stands for length, and 'W' stands for width.
Since the current height is 12, the current length is 6, and the width is 3, you need to plug them into the equation.
<em>SA=2(6)(3)+2(6)(12)+2(12)(3)</em>
<em>SA=252</em>
<em>Quick tip! It's tempting to just multiply them all at once, but using the power of distribution is vital to solving these equations. </em>
Answer:
x = - 
Step-by-step explanation:
Given
20x + 12 = 4x - 16 ( subtract 4x from both sides )
16x + 12 = - 16 ( subtract 12 from both sides )
16x = - 28 ( divide both sides by 16 )
x = 
= - [ = - 1.75 ]
Answer:
The exact value of tan 300° is ⏩ - √3
Hope it will help :)❤
Answer:
8.20in³
Step-by-step explanation:
Given V = πr²h
r is the radius = 1.5in
h is the height = 6in
thickness of wall of the cylinder dr = 0.04in
top and bottom thickness dh 0.07in+0.07in = 0.14in
To compute the volume, we will find the value of dV
dV = dV/dr • dr + dV/dh • dh
dV/dr = 2πrh
dV/dh = πr²
dV = 2πrh dr + πr² dh
Substituting the values into the formula
dV = 2π(1.5)(6)•(0.04) + π(1.5)²(6) • 0.14
dV = 2π (0.36)+π(1.89)
dV = 0.72π+1.89π
dV = 2.61π
dV = 2.61(3.14)
dV = 8.1954in³
Hence volume, in cubic inches, of metal in the walls and top and bottom of the can is 8.20in³ (to two dp)
Answer:
Membership decreased by an average of 6,600 people per year from Year 3 to Year 5
Step-by-step explanation:
The average rate of change from Year 3 to Year 5 will be given by the slope of the line joining the points;
(3, 96.8) and (5, 83.6)
The slope of a line given two points is calculated as;
( change in y)/( change in x)
In this case y is the number of members for a given year x.
average rate of change = (83.6-96.8)/(5-3)
= -6.6
Since the number of members is given in thousands, we have;
-6,600
The negative sign implies a decrease in the number of members. Therefore, membership decreased by an average of 6,600 people per year from Year 3 to Year 5
