Answer:
Area = 18 Sq.units
Step-by-step explanation:
From the given dimensions we have, we can say that the total length of the base = 6 + 4 = 10 units
Now,since we know that all sides of the red square are 6 units, we can use pythagoras theorem to get the length of the long diagonal that serves as the base of the blue colored area.
Let the diagonal be c. Thus;
c = √(10² + 6²)
c = √(100 + 36)
c = √136
Let length of the horizontal part of the blue area be "b". Thus, b = 6 units
Let the other part of the triangle be a. We can find a from pythagoras theorem.
a = √(4² + 6²)
a = √(16 + 36)
a = √52
Using hero's formula, we can find the area of the triangle;
Area = √(s(s − a)(s − b)(s − c))
Where s = (a + b + c)/2
s = (√52 + 6 + √136)/2
s = 12.4365
Area = √(12.4366(12.4365 −√52)(12.4365 − 6)(12.4365 − √136))
Area = 18 Sq.units
The total surface area of the cone in terms of pi is 360π square inches
Total surface area of a cone is expressed as
TSA = πr(r+l)
Given that
radius = 10in
Height = 24in
Get the slant height 'l'
l² = h²+r²
l² = 24²+10²
l² = 576+100
l² = 676
l = 26in
Substitute the given values into the formula
TSA = pi(10)(10+26)
TSA = pi(36)(10)
TSA = 360π in²
Hence the total surface area of the cone in terms of pi is 360π square inches
Learn more here: brainly.com/question/24122648
Answer:
B
Step-by-step explanation:
3x - 3 > 42
3x - 3 42
+3 + 3
3x > 45
3x / 3 45/3
x > 15
x can be 16
<u>Answer:</u>
The correct answer option is 'both Adler and Erika solved for <em>k</em> correctly because either the addition property of equality or the subtraction property of equality can be used to solve for <em>k</em><em>'.</em>
<u>Step-by-step explanation:</u>
Both Adler and Erika have solved for <em>k</em> correctly since both the properties, addition property of equality and subtraction property of equality, can be to solve for <em>k.</em>
The fraction has to be subtracted from both the sides so even if it is added, the negative sign still would make it subtracted from both the sides.