Answer:
B.) 54π units²
Step-by-step explanation:
First, we need to find the height of the cone. We can do this using the Pythagreom Theorem.
a² + b² = c² <----- Pythagreom Theorem
3² + b² = 15² <----- Insert side lengths
9 + b² = 225 <----- Solve 3² and 15²
b² = 216 <----- Subtract 9 from both sides
b = 14.7 units <---- Take square root of 216
Now, we can use the surface area of a right cone equation to find the final answer.
r = 3 units
h = 14.7 units
SA = πr(r + √(h² + r²)) <----- Surface Area equation
SA = π(3)(3 + √(14.7² + 3²)) <----- Insert values
SA = π(3)(3 + √(216 + 9)) <----- Solve 14.7² and 3²
SA = π(3)(3 + √225) <----- Add 216 and 9
SA = π(3)(3 + 15) <----- Take square root of 225
SA = π(3)(18) <----- Add 3 and 15
SA = 54π units² <----- Multiply 3 and 18
Answer:
The new size is 4.3 x 5.7
Step-by-step explanation:
The photo originally measures
13 inches x 17 inches
If we apply a scale factor of 1/3, this means that we multiply each size by one third
13 inches * (1/3) = 4.333 in
17 inches * (1/3) = 5.666 in
If we round up we get
4.3 in
5.7 in
The new size is 4.3 x 5.7
15 if its only asking for the positive factors
The distance between two points can be found using the Pythagorean Theorem...
d^2=(x2-x1)^2+(y2-y1)^2
d^2=(-8-12)^2+(18-6)^2
d^2=400+144
d^2=544
d=√544 units
d=4√34 units
d≈23.3 units (to the nearest tenth of a unit)
Answer:
<h2><em>
π/12 rad and 23π/12 rad</em></h2>
Step-by-step explanation:
Given the expression cos(2β)=√3/2 for 0≤β<2π, we are to find the value of β within the range that satisfies the equation.
Since cos id positive in the 4th quadrant, 
, 
Hence the value of 
that satisfy the equation are 15° and 345°
Converting to radians;
180° = πrad
15° = 15π/180 rad
15° = π/12 rad
345° = 345π/180
345° = 23π/12 rad
<em>The values in radians are π/12 rad and 23π/12 rad</em>
